7Baggers

Interactive Brokers Group, Inc
(NASDAQ:IBKR) 

IBKR stock logo

Interactive Brokers Group, Inc. operates as an automated electronic broker worldwide. It specializes in executing and clearing trades in stocks, options, futures, foreign exchange instruments, bonds, mutual funds, and exchange traded funds (ETFs). The company custodies and services accounts for hedg...

Founded: 1978
Full Time Employees: 1,923
Founder: Thomas Peterffy 
CEO: Milan Galik  
Sector: Financial Services
Industry: Capital Markets

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At a glance:
  • Earnings and Account Growth Driven by Higher Rates and Market Activity: Interactive Brokers’ revenue and profitability are highly sensitive to interest rates and client trading activity, with net interest income and commissions typically benefiting from higher short-term rates and elevated market volatility.
  • Client Assets and New Accounts Remain a Key Leading Indicator: Growth in client accounts, net new assets, and overall client equity are central drivers of future revenue, supporting higher interest-earning balances and greater trading volumes across asset classes.
  • Diversified, Global Electronic Brokerage Model Supports Scale: A predominantly automated, low-cost platform and broad product coverage (stocks, options, futures, FX, fixed income) enable operating leverage as volumes rise, helping sustain competitive pricing while expanding margins.
  • Rate Cuts and Lower Volatility Are Core Near-Term Risks: Declining short-term rates can compress net interest income, while subdued volatility may reduce trading volumes; both factors can pressure revenue despite continued customer growth.
  • Regulatory, Margin, and Execution Quality Requirements Remain Central: As a broker-dealer with material margin lending and global operations, performance and risk are influenced by regulatory capital requirements, risk management practices, and ongoing scrutiny around market structure and best execution.
Bull Thesis:
  • Strong Net Interest Income Growth: Interactive Brokers significantly benefits from higher interest rates on client cash balances. As central banks maintain or increase rates, IBKR's net interest income, a substantial portion of its revenue, continues to grow, providing a strong tailwind to profitability.
  • Technology Leadership and Global Diversification: IBKR's advanced trading platform, extensive product offerings (stocks, options, futures, forex, bonds, funds), and global market access attract sophisticated traders and institutions. This technological edge and broad diversification across asset classes and geographies make it resilient and appealing to a high-value client base.
  • Scalable Business Model and Operating Leverage: The company's highly automated and efficient platform allows for significant growth in client accounts and assets under management without a proportional increase in operating costs. This inherent scalability leads to strong operating leverage, meaning incremental revenue growth can translate into even faster profit growth.
  • Attracting Sophisticated Traders and Institutions: IBKR's focus on providing low-cost access to a vast array of global markets, coupled with powerful trading tools and APIs, makes it a preferred choice for active traders, hedge funds, and financial advisors. This niche focus on high-volume, professional clients ensures a sticky and profitable customer base.
Bear Thesis:
  • Vulnerability to Declining Interest Rates: While high interest rates are currently a boon, a significant reversal or sustained decline in global interest rates would directly and negatively impact IBKR's net interest income, which has become a major component of its overall revenue and profitability.
  • Intense Competition and Pricing Pressure: The brokerage industry remains highly competitive, with ongoing pressure from commission-free trading models and new fintech entrants. While IBKR targets a specific segment, there's always a risk of further fee compression or new competitors eroding market share.
  • Regulatory and Cybersecurity Risks: As a global financial institution, IBKR faces constant scrutiny and evolving regulatory requirements across multiple jurisdictions. Non-compliance can lead to significant fines, reputational damage, and increased operational costs. Furthermore, holding vast client assets and data makes it a prime target for cyberattacks, posing substantial financial and reputational risks.
  • Reliance on Market Volatility and Trading Volumes: A significant portion of IBKR's revenue comes from commissions generated by client trading activity. A prolonged period of low market volatility and reduced trading volumes could lead to a slowdown in commission revenue, impacting overall financial performance.
Main Competitors:
  • Charles Schwab Corporation ($SCHW) (Schwab Intelligent Portfolios, StreetSmart Edge, Schwab Trading Services), A major full-service brokerage offering a wide range of investment products, wealth management, and banking services. Competes with IBKR for individual investors, active traders, and financial advisors, particularly in the US market. While Schwab offers zero-commission stock trades, IBKR often provides more competitive margin rates and broader global product access for active traders. Schwab's acquisition of TD Ameritrade significantly expanded its active trader base, making it a formidable competitor.
  • Fidelity Investments (Fidelity Active Trader Pro, Fidelity Go, Fidelity Wealth Management), A large, privately held financial services firm offering brokerage, mutual funds, ETFs, retirement services, and wealth management. Competes with IBKR for individual investors, active traders, and institutional clients. Fidelity also offers zero-commission stock trades and is known for strong customer service and research, appealing to a broader base than just active traders, though IBKR often leads on global market access and margin rates for sophisticated users.
  • E*TRADE (Morgan Stanley) ($MS) (Power E*TRADE, E*TRADE Core Portfolios), Now a subsidiary of Morgan Stanley, E*TRADE targets active traders and self-directed investors with its trading platforms, educational resources, and investment tools. It competes directly with IBKR for active traders, offering competitive pricing and a user-friendly experience, though IBKR typically offers more extensive global market access and often more competitive margin rates for high-volume traders.
  • TradeStation Group, Inc. (TradeStation Platform), A subsidiary of Monex Group, TradeStation is known for its advanced trading platform, popular among active and professional traders for its charting, analysis tools, and automated trading capabilities. It directly competes with IBKR for the most sophisticated and active traders, offering similar product breadth (stocks, options, futures, forex) and competitive pricing, often appealing to those who prioritize platform features and customizability.
  • Robinhood Markets, Inc. ($HOOD) (Robinhood trading app), Robinhood's zero-commission model and user-friendly mobile app disrupted the brokerage industry, attracting a new generation of retail investors. It competes with IBKR for a segment of self-directed retail investors, particularly those focused on US stocks and options, though IBKR offers a far more sophisticated platform, broader product range, and caters to more advanced trading strategies and global markets.
Moat:
Interactive Brokers (IBKR) maintains a strong competitive moat primarily through its **cost leadership** (very low commissions, highly competitive margin rates), **unparalleled global market access** across a vast array of products (stocks, options, futures, forex, bonds, funds), and **advanced technology** tailored for sophisticated active traders, institutional investors, and financial advisors. Its platform is designed for efficiency and breadth, rather than hand-holding, appealing to a professional and self-directed client base. Competition comes from several fronts: 1. **Full-service brokers (Charles Schwab, Fidelity, E*TRADE)**: These firms compete on overall breadth of services, customer support, research, and wealth management, often appealing to a broader base of investors. While they have largely matched IBKR on zero-commission stock trades, IBKR often retains an edge in margin rates and global product depth for active users. 2. **Specialized active trader platforms (TradeStation)**: These directly compete for the most sophisticated and professional traders by offering highly advanced charting, analysis, and automated trading tools, often with similar product offerings. 3. **Discount/mobile-first brokers (Robinhood)**: These disruptors compete on simplicity, ease of use, and zero-commission for basic trading, attracting newer and less sophisticated investors, which has pressured all brokers to adapt their pricing models. However, IBKR's target demographic typically requires more advanced features than these platforms offer. IBKR's challenge is to continue innovating its technology and expanding its global reach while balancing its cost-effective model with the evolving demands for user experience and broader wealth management services, especially as competitors consolidate and enhance their offerings.
Income Statements:
Quarterly
Annual
    Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-12-31 2019-09-30 2019-06-30 2019-03-31 2018-12-31 2018-09-30 2018-06-30 2018-03-31 2017-09-30 2017-03-31 2016-09-30 2016-06-30 2016-03-31 2015-09-30 2015-06-30 2015-03-31 2014-09-30 2014-06-30 2014-03-31 2013-09-30 2013-06-30 2013-03-31 2012-09-30 2012-06-30 2012-03-31 2011-09-30 2011-06-30 2011-03-31 2010-09-30 2010-06-30 2010-03-31 2009-09-30 2009-06-30 2009-03-31 2008-12-31 2008-09-30 2008-06-30 2008-03-31 2007-12-31 2007-06-30 2007-03-31 
                                                                      
      revenues
                                                                      
      commissions
    613,000,000 582,000,000 537,000,000 516,000,000 514,000,000 477,000,000 435,000,000 406,000,000 379,000,000 348,000,000 333,000,000 322,000,000 357,000,000 331,000,000 320,000,000 322,000,000 349,000,000 320,000,000 311,000,000 307,000,000 412,000,000 288,000,000 279,000,000 276,000,000 269,000,000 168,000,000 187,000,000 178,000,000 173,000,000 776,999,428 167 185,000,000 220,000,000 163                                 
      other fees and services
    86,000,000 85,000,000 66,000,000 62,000,000 78,000,000 81,000,000 72,000,000 68,000,000 59,000,000 55,000,000 52,000,000 47,000,000 43,000,000 43,000,000 45,000,000 43,000,000 53,000,000 58,000,000 49,000,000 55,000,000 56,000,000 52,000,000 45,000,000 40,000,000 38,000,000                                          
      other income
    66,000,000 10,000,000 85,000,000 42,000,000 65,000,000 22,000,000 56,000,000 -36,000,000 18,000,000 6,000,000 27,000,000 -63,000,000 19,000,000 37,000,000 -48,000,000 -57,000,000 -39,000,000 -70,000,000 -170,000,000 118,000,000 120,000,000 34,000,000 29,000,000 27,000,000 -31,000,000 38,000,000 -19,000,000 -30,000,000 132,000,000 157,999,879 21 23,000,000 77,000,000 70 76,000,000 27 57 144,000,000  55 -132,000,000 15,887,000 17,843,000 19,158,000 20,826,000 24,262,000 19,911,000 17,104,000 15,322,000 18,324,000 10,726,000 14,976,000 17,435,000 13,928,000 17,723,000 16,774,000 13,047,000 7,600,000 21,486,000 25,755,000 7,129,000 17,737,000 30,779,000  22,605,000 24,700,000 
      total non-interest income
    765,000,000 677,000,000 688,000,000 620,000,000 657,000,000 580,000,000 563,000,000 438,000,000 456,000,000 409,000,000 412,000,000 306,000,000 419,000,000 411,000,000 317,000,000 308,000,000 363,000,000 308,000,000 190,000,000 480,000,000 588,000,000 374,000,000 353,000,000 343,000,000 276,000,000                                          
      interest income
    1,947,000,000 2,072,000,000 2,101,000,000 1,891,000,000 1,718,000,000 1,863,000,000 1,888,000,000 1,828,000,000 1,760,000,000 1,695,000,000 1,643,000,000 1,545,000,000 1,347,000,000 1,111,000,000 783,000,000 460,000,000 332,000,000 350,000,000 325,000,000 307,000,000 390,000,000 280,000,000 240,000,000 244,000,000 369,000,000 418,000,000 468,000,000 432,000,000 408,000,000 1,391,998,993 363 333,000,000 311,000,000 243 177,000,000 157 144 145,000,000 122 126 108,000,000 122,371,000 95,027,000 85,883,000 74,000,000 76,070,000 70,502,000 65,410,000 68,621,000 66,576,000 73,694,000 79,400,000 58,663,000 42,350,000 40,968,000 36,649,000 29,902,000 33,500,000 26,321,000 63,382,000 101,168,000 128,730,000 143,920,000  205,091,000 184,500,000 
      interest expense
    -1,043,000,000 -1,106,000,000 -1,134,000,000 -1,031,000,000 -948,000,000 -1,056,000,000 -1,086,000,000 -1,036,000,000 -1,013,000,000 -965,000,000 -910,000,000 -851,000,000 -710,000,000 -546,000,000 -310,000,000 -112,000,000 -50,000,000 -55,000,000 -51,000,000 -33,000,000 -85,000,000 -55,000,000 -45,000,000 -48,000,000 -113,000,000 131,000,000 177,000,000 173,000,000 162,000,000 462,999,679 119 108,000,000 94,000,000 61 35,000,000 21 18 18,000,000 16 18 15,000,000 24,130,000 11,942,000 14,286,000 12,191,000 13,574,000 12,871,000 14,199,000 16,133,000 19,143,000 23,337,000 24,437,000 17,747,000 15,959,000 17,714,000 15,160,000 15,173,000 22,800,000 16,184,000 45,498,000 70,819,000 102,545,000 113,138,000  143,547,000 133,500,000 
      total net interest income
    904,000,000 966,000,000 967,000,000 860,000,000 770,000,000 807,000,000 802,000,000 792,000,000 747,000,000 730,000,000 733,000,000 694,000,000 637,000,000 565,000,000 473,000,000 348,000,000 282,000,000 295,000,000 274,000,000 274,000,000 305,000,000 225,000,000 195,000,000 196,000,000 256,000,000                                          
      total net revenues
    1,669,000,000 1,643,000,000 1,655,000,000 1,480,000,000 1,427,000,000 1,387,000,000 1,365,000,000 1,230,000,000 1,203,000,000 1,139,000,000 1,145,000,000 1,000,000,000 1,056,000,000 976,000,000 790,000,000 656,000,000 645,000,000 603,000,000 464,000,000 754,000,000 893,000,000 599,000,000 548,000,000 539,000,000 532,000,000 500,000,000 466,000,000 413,000,000 558,000,000 1,902,998,589 439 445,000,000 527,000,000 426 374,000,000 345 369 489,000,000 359 387 172,000,000 170,974,000 309,299,000 354,908,000 326,252,000 283,956,000        299,138,000   271,492,000 332,100,000 296,341,000 429,281,000 496,995,000 395,376,000 528,448,000  294,732,000 330,800,000 
      yoy
    16.96% 18.46% 21.25% 20.33% 18.62% 21.77% 19.21% 23.00% 13.92% 16.70% 44.94% 52.44% 63.72% 61.86% 70.26% -13.00% -27.77% 0.67% -15.33% 39.89% 67.86% 19.80% 17.60% 30.51% -4.66% -73.73% 106150241.69% -7.19% 5.88% 446713183.80% -100.00% 128985407.25% 142818328.18% -100.00% 104178172.98% -10.85% -100.00% 186.01% -100.00% -100.00% -47.28% -39.79%            -9.93%   -45.37% -16.00% -43.92%  68.63% 19.52%     
      qoq
    1.58% -0.73% 11.82% 3.71% 2.88% 1.61% 10.98% 2.24% 5.62% -0.52% 14.50% -5.30% 8.20% 23.54% 20.43% 1.71% 6.97% 29.96% -38.46% -15.57% 49.08% 9.31% 1.67% 1.32% 6.40% 7.30% 12.83% -25.99% -70.68% 433484772.21% -100.00% -15.56% 123708820.19% -100.00% 108405697.10% -6.50% -100.00% 136211599.16% -7.24% -100.00% 0.60% -44.72% -12.85% 8.78% 14.90%            -18.25% 12.07% -30.97% -13.62% 25.70% -25.18%   -10.90%  
      non-interest expenses
                                                                      
      execution, clearing and distribution fees
    106,000,000 91,000,000 92,000,000 116,000,000 121,000,000 115,000,000 116,000,000 115,000,000 101,000,000 100,000,000 98,000,000 93,000,000 95,000,000 90,000,000 86,000,000 77,000,000 71,000,000 53,000,000 61,000,000 54,000,000 68,000,000 66,000,000 74,000,000 76,000,000 77,000,000 59,000,000 68,000,000 63,000,000 61,000,000 268,999,804 57                                    
      employee compensation and benefits
    167,000,000 153,000,000 156,000,000 163,000,000 154,000,000 138,000,000 145,000,000 146,000,000 145,000,000 136,000,000 127,000,000 136,000,000 128,000,000 119,000,000 112,000,000 112,000,000 111,000,000 108,000,000 98,000,000 96,000,000 97,000,000 86,000,000 77,000,000 82,000,000 80,000,000 53,250,000 67,000,000 75,000,000 71,000,000 263,999,799 63 68,000,000 70,000,000 64 62,000,000 58 58 58,000,000 56 58 57,000,000 49,408,000 53,589,000 53,486,000 44,242,000 58,018,000 46,318,000 57,676,000 59,801,000 62,725,000 56,157,000 52,651,000 52,359,000 49,613,000 49,578,000 50,458,000 43,015,000 42,500,000 42,822,000 38,575,000 39,549,000 38,502,000 41,374,000  28,880,000 32,800,000 
      occupancy, depreciation and amortization
    27,000,000 25,000,000 24,000,000 24,000,000 24,000,000 24,000,000 26,000,000 25,000,000 26,000,000 25,000,000 25,000,000 25,000,000 24,000,000 22,000,000 23,000,000 23,000,000 22,000,000 22,000,000 19,000,000 19,000,000 20,000,000 18,000,000 17,000,000 17,000,000 17,000,000 10,750,000 15,000,000 14,000,000 14,000,000 48,999,965 12 11,000,000 12,000,000 11 13,000,000 13 13 12,000,000 12 11 10,000,000 9,393,000 9,693,000 9,819,000 9,387,000 9,249,000 10,069,000 9,043,000 9,957,000 9,934,000 8,984,000 9,059,000 9,246,000 9,197,000 9,148,000 9,204,000 10,008,000 9,900,000 9,561,000 10,053,000 10,506,000 8,616,000 8,525,000  6,461,000 6,000,000 
      communications
    12,000,000 11,000,000 11,000,000 11,000,000 10,000,000 10,000,000 9,000,000 10,000,000 10,000,000 12,000,000 10,000,000 10,000,000 9,000,000 8,000,000 8,000,000 9,000,000 8,000,000 9,000,000 8,000,000 8,000,000 8,000,000 7,000,000 6,000,000 7,000,000 6,000,000 4,750,000 7,000,000 6,000,000 6,000,000 24,999,980 7,000,000 6,000,000 8,000,000 7,000,000 6,000,000 5,975,000 6,185,000 6,002,000 6,125,000 5,703,000 5,453,000 6,089,000 5,486,000 5,674,000 5,736,000 6,665,000 5,448,000 5,834,000 6,322,000 5,402,000 6,105,000 5,500,000 5,001,000 5,361,000 4,769,000 4,575,000 3,995,000  3,471,000 3,400,000 
      general and administrative
    68,000,000 62,000,000 62,000,000 61,000,000 62,000,000 59,000,000 153,000,000 52,000,000 50,000,000 45,000,000 45,000,000 85,000,000 36,000,000 48,000,000 37,000,000 42,000,000 38,000,000 38,000,000 44,000,000 35,000,000 59,000,000 30,000,000 37,000,000 132,000,000 37,000,000 20,000,000 30,000,000 26,000,000 24,000,000 95,999,930 25 22,000,000 23,000,000 15 16,000,000 19 14 13,000,000 13 13 16,000,000 14,665,000 13,989,000 13,247,000 14,100,000 12,333,000 12,471,000 11,525,000 10,966,000 11,288,000 14,812,000 13,347,000 12,626,000 10,669,000 13,530,000 10,905,000 9,675,000 11,200,000 10,867,000 27,640,000 11,869,000 10,349,000 13,442,000  9,893,000 8,100,000 
      customer bad debt
    1,000,000  -2,000,000 1,000,000 1,000,000 1,000,000 7,000,000 2,000,000 5,000,000 5,000,000  -1,000,000 3,000,000  1,000,000 1,000,000 1,000,000   1,000,000 2,000,000  3,000,000 3,000,000 7,000,000 -1,000,000 -2,000,000 4,000,000 43,000,000 3,999,998   3,000,000  1,000,000   139,000,000                          
      total non-interest expenses
    381,000,000 343,000,000 343,000,000 376,000,000 372,000,000 347,000,000 456,000,000 350,000,000 337,000,000 323,000,000 305,000,000 348,000,000 295,000,000 287,000,000 267,000,000 264,000,000 251,000,000 230,000,000 230,000,000 213,000,000 254,000,000 207,000,000 214,000,000 317,000,000 224,000,000 188,000,000 185,000,000 188,000,000 219,000,000 706,999,476 163 174,000,000 187,000,000 158 161,000,000 162 156 152,000,000 157 147 283,000,000 131,593,000 135,090,000 136,764,000 129,870,000 150,030,000           138,225,000 139,900,000 129,394,000 160,285,000 149,605,000 136,015,000 154,495,000  130,079,000 140,500,000 
      income before income taxes
    1,288,000,000 1,300,000,000 1,312,000,000 1,104,000,000 1,055,000,000 1,040,000,000 909,000,000 880,000,000 866,000,000 816,000,000 840,000,000 652,000,000 761,000,000 689,000,000 523,000,000 392,000,000 394,000,000 373,000,000 234,000,000 541,000,000 639,000,000 392,000,000 334,000,000 222,000,000 308,000,000 312,000,000 281,000,000 225,000,000 339,000,000 1,195,999,113 276 271,000,000 340,000,000 268 213,000,000 183 213 337,000,000 202 240 -111,000,000 39,381,000 174,209,000 218,144,000 196,382,000 133,926,000 82,223,000 172,620,000 108,507,000 149,677,000 217,757,000 149,144,000 221,972,000 161,920,000 72,076,000 64,913,000 133,267,000 192,200,000 166,947,000        
      income tax expense
    117,000,000 99,000,000 126,000,000 98,000,000 91,000,000 71,000,000 75,000,000 71,000,000 71,000,000 77,000,000 68,000,000 51,000,000 61,000,000 56,000,000 40,000,000 32,000,000 28,000,000 35,000,000 28,000,000 35,000,000 53,000,000 12,000,000 32,000,000 15,000,000 18,000,000 18,000,000 20,000,000 15,000,000 15,000,000 70,999,948 18 13,000,000 21,000,000 21 18,000,000 15 13 27,000,000 20 19  7,691,000 13,451,000 16,950,000 10,414,000 13,890,000 6,935,000 14,747,000 10,977,000 8,734,000 15,270,000 12,496,000 18,732,000 13,201,000 7,308,000 5,226,000 13,168,000 25,300,000 11,832,000 34,010,000 32,384,000 28,593,000 33,413,000  5,504,000  
      net income
    1,171,000,000 1,201,000,000 1,186,000,000 1,006,000,000 964,000,000 969,000,000 834,000,000 809,000,000 795,000,000 739,000,000 772,000,000 601,000,000 700,000,000 633,000,000 483,000,000 360,000,000 366,000,000 338,000,000 206,000,000 506,000,000 586,000,000 380,000,000 302,000,000 207,000,000 290,000,000 294,000,000 261,000,000 210,000,000 324,000,000 1,124,999,165 258 258,000,000 319,000,000 247 195,000,000 168 200 310,000,000 182 221 -109,000,000 31,690,000 160,758,000 201,194,000 185,968,000 120,036,000 75,288,000 157,873,000 97,530,000 140,943,000 202,487,000 136,648,000 203,240,000 148,719,000 64,768,000 59,687,000 120,099,000 166,900,000 155,115,000 20,314,000 27,147,000 18,348,000 27,191,000  75,143,000 184,200,000 
      yoy
    21.47% 23.94% 42.21% 24.35% 21.26% 31.12% 8.03% 34.61% 13.57% 16.75% 59.83% 66.94% 91.26% 87.28% 134.47% -28.85% -37.54% -11.05% -31.79% 144.44% 102.07% 29.25% 15.71% -1.43% -10.49% -73.87% 101162690.70% -18.60% 1.57% 455465148.99% -100.00% 153571328.57% 159499900.00% -100.00% 107142757.14% -23.98% -100.00% 878.23% -100.00% -100.00% -158.61% -73.60% 113.52% 27.44% 90.68% -14.83% -62.82% 15.53% -52.01% -5.23% 212.63% 128.94% 69.23% -10.89% -58.25% 193.82% 342.40% 809.64% 470.46%  -63.87% -90.04%     
      qoq
    -2.50% 1.26% 17.89% 4.36% -0.52% 16.19% 3.09% 1.76% 7.58% -4.27% 28.45% -14.14% 10.58% 31.06% 34.17% -1.64% 8.28% 64.08% -59.29% -13.65% 54.21% 25.83% 45.89% -28.62% -1.36% 12.64% 24.29% -35.19% -71.20% 436046087.98% -100.00% -19.12% 129149697.57% -100.00% 116071328.57% -16.00% -100.00% 170329570.33% -17.65% -100.00% -443.96% -80.29% -20.10% 8.19% 54.93% 59.44% -52.31% 61.87% -30.80% -30.39% 48.18% -32.77% 36.66% 129.62% 8.51% -50.30% -28.04% 7.60% 663.59% -25.17% 47.96% -32.52%   -59.21%  
      net income margin %
    70.16% 73.10% 71.66% 67.97% 67.55% 69.86% 61.10% 65.77% 66.08% 64.88% 67.42% 60.10% 66.29% 64.86% 61.14% 54.88% 56.74% 56.05% 44.40% 67.11% 65.62% 63.44% 55.11% 38.40% 54.51% 58.80% 56.01% 50.85% 58.06% 59.12% 58.77% 57.98% 60.53% 57.98% 52.14% 48.70% 54.20% 63.39% 50.70% 57.11% -63.37% 18.53% 51.97% 56.69% 57.00% 42.27% Infinity% Infinity% Infinity% Infinity% Infinity% Infinity% Infinity% 49.72% Infinity% Infinity% 44.24% 50.26% 52.34% 4.73% 5.46% 4.64% 5.15% NaN% 25.50% 55.68% 
      less net income attributable to noncontrolling interests
    904,000,000 917,000,000 923,000,000 782,000,000 751,000,000 752,000,000 650,000,000 630,000,000 620,000,000 579,000,000 605,000,000 476,000,000 552,000,000 497,000,000 384,000,000 288,000,000 293,000,000 271,000,000 164,000,000 414,000,000 479,000,000 309,000,000 256,000,000 175,000,000 244,000,000 250,000,000 225,000,000 178,000,000 275,000,000 955,999,291 219 217,000,000 273,000,000 216 171,000,000 148 173 277,000,000 160 198 -96,000,000 28,499,000 145,597,000 182,105,000 169,521,000 109,658,000 68,731,000 145,385,000 89,546,000                  
      net income available for common stockholders
    267,000,000 284,000,000 263,000,000 224,000,000 213,000,000 217,000,000 184,000,000 179,000,000 175,000,000 160,000,000 167,000,000 125,000,000 148,000,000 136,000,000 99,000,000 72,000,000 73,000,000 67,000,000 42,000,000 92,000,000 107,000,000 71,000,000 46,000,000 32,000,000 46,000,000 44,000,000 36,000,000 32,000,000 49,000,000 168,999,874 39 41,000,000 46,000,000 31 24,000,000 20 27 33,000,000 22 23 -13,000,000 3,191,000 15,161,000 19,089,000     7,984,000 11,084,000 22,494,000 9,561,000 16,251,000 11,036,000 3,840,000 3,891,000 8,410,000  12,622,000 18,171.5 27,147 18,348   7,006  
      earnings per share
                                                                      
      basic
    0.6 0.64 0.59 0.51 1.95 2.01 1.68 1.67 1.63 1.5 1.57 1.21 1.44 1.33 0.98 0.73 0.74 0.67 0.44 1.01 1.18 0.84 0.59 0.41 0.6 0.57 0.46 0.43 0.65 0.57 0.52 0.57 0.64 0.44 0.35 0.3 0.41 0.52 0.35 0.38 -0.22 0.06 0.27 0.35 0.33 0.21 0.14 0.26 0.17 0.24 0.5 0.22 0.38 0.26 0.09 0.09 0.2 0.31 0.31 0.45 0.67 0.45 0.68  0.17 0.31 
      diluted
    0.59 0.64 0.59 0.51 1.94 1.99 1.67 1.65 1.61 1.48 1.56 1.2 1.42 1.32 0.97 0.72 0.74 0.66 0.43 1.16 0.84 0.58 0.4 0.6 0.58 0.45 0.43 0.64 0.57 0.51 0.57 0.63 0.43 0.34 0.3 0.4 0.51 0.35 0.37 -0.22 0.05 0.26 0.34 0.32 0.21 0.14 0.26 0.17 0.24 0.5 0.22 0.38 0.26 0.09 0.09 0.2 0.31 0.3 0.44 0.65 0.44 0.66  0.17 0.31 
      weighted-average common shares outstanding
                                                                      
      basic
    445,448,291 440,931,909 444,060,813 438,457,863 108,923,381 108,112,199 108,757,991 107,719,020 107,070,830 104,965,050 106,233,557 103,587,557 102,958,660 100,460,016 101,818,667 98,853,981 98,226,147 94,167,572 96,229,958 91,365,234 90,789,321 79,939,289 78,509,625 77,357,609 76,751,168 76,121,570 76,742,789 75,868,349 75,101,062 73,438,209 74,649,469 72,476,729 71,475,950 71,109,577 67,985,107 67,083,654 64,967,364 63,985,477 62,458,655 59,481,778 58,473,348 57,099,052 56,079,813 54,664,225 49,966,050 48,929,348 47,499,898 47,488,459 46,686,269 45,576,925 44,832,545 43,018,095 42,231,651 42,222,449 41,802,541 41,216,879 41,214,598 40,916,760 40,536,715  40,602,515 40,410,989 40,143,860 40,153,606 40,188,053 40,000,100 
      diluted
    448,369,291 443,859,546 446,528,983 441,439,924 109,865,741 109,002,938 109,536,360 108,626,836 108,149,440 105,846,877 107,011,427 104,463,729 104,042,571 101,299,609 102,555,482 99,695,489 99,224,776 95,009,880 96,989,968 92,199,169 91,766,142 80,638,908 79,120,548 78,031,462 77,568,464 76,825,863 77,348,976 76,594,934 75,977,511 74,266,370 75,360,089 73,329,496 72,512,462 71,973,483 69,157,614 68,470,224 66,470,913 65,255,903 64,028,731 61,038,926 58,473,348 58,220,070 57,300,230 56,041,282 50,988,214 49,012,567 47,688,314 47,679,818 46,957,081 45,951,464 45,208,557 43,470,928 42,791,822 42,784,799 42,441,995 41,966,053 41,973,518 41,758,253 399,045,731  399,112,085 400,148,064 401,292,908 401,327,844 401,363,708 401,257,739 
      comprehensive income
                                                                      
      other comprehensive income
                                                                      
      cumulative translation adjustment, before income taxes
    -21 -10 79 28 -64 39 -2 -26 37 -19 38 -30 -24 -10 -1 -9 -17 21 -7 -0.75 -6    -14     -11,037 1,539 491 3,691                      
      income taxes related to items of other comprehensive income
                                             -252 61 123 61                      
      other comprehensive income, net of tax
    -21 -10 79 28 -64 39 -2 -26   38 -30 -24 -10 -1 -9  21 -7 -0.75 -6    -13     -10,785 1,478 368 3,630   1,894  2,626  3,837               
      comprehensive income available for common stockholders
    246 288 253 303 241 153 223 177 149 197 148 132 153 174 69 48 63 66 33 97 90 92 54 36 39 51 30 36 48 43 38 28 47 32 28 20 24 39 14 27 -14 -7,594 16,639 19,457      13,710 16,089 13,398               
      comprehensive income attributable to noncontrolling interests
    846 929 895 1,009 830 568 764 622 544 690 548 500 566 617 291 207 262 270 133 430 420 383 293 193 213 281 203 190 274 241 217 152 280 221 190 150 157 310 116 222 -105 -38,655 155,149 185,225 195,534 81,664 41,110 167,319 45,937                  
      net income attributable to noncontrolling interests
    904 917 923 782 751 752 650 630 620 579 605 476 552 497 384 288 293 271 164 414 479 309 256 175 244 169.5 225 178 275 247 219 217 273 216 171 148 173 277 160 198 -96 28,499 145,597 182,105 169,521 109,658 68,731 145,385 89,546                  
      other comprehensive income - cumulative translation adjustment
    -58 12 -28 227 79 -184 114 -8 -76 111 -57 24 14 120 -93 -81 -31 -1 -31 16 -59 74 37 18 -31 -2.75 -22 12  -6  -65 19 -16 33 -44 24  -67,154 9,552 3,120 26,013   21,934  31,551  50,144               
      other comprehensive loss, net of tax
             -1.75 -19          -17                                              
      trading gains
                             7,000,000 7,000,000 6,000,000 7,000,000 38,999,968 12,000,000 13,000,000 11 2,000,000 38 34 52,000,000 87 67 62,000,000 -75,693,000 84,020,000 127,512,000 123,286,000 59,106,000 18,994,000 149,700,000 85,007,000 137,280,000 193,778,000 120,569,000 200,338,000 168,675,000 77,640,000 80,574,000 154,709,000 223,600,000 180,454,000 297,993,000 361,403,000 265,964,000 378,640,000  150,298,000 198,800,000 
      total revenues
                             631,000,000 643,000,000 586,000,000 720,000,000 2,365,998,268 558 553,000,000 621,000,000 487 409,000,000 366 387 507,000,000 375 405 187,000,000 195,104,000 321,241,000 369,194,000 338,443,000 297,530,000        315,097,000   286,665,000 354,900,000 312,525,000 474,779,000 567,814,000 497,921,000 641,586,000  438,279,000 464,300,000 
      execution and clearing
                                   66,000,000 73,000,000 61 61,000,000 62 59 62,000,000 63 59 55,000,000 52,152,000 51,634,000 54,210,000 56,016,000 64,727,000 59,540,000 61,646,000 66,171,000 64,624,000 82,080,000 66,074,000 66,237,000 61,905,000 75,482,000 69,688,000 69,422,000 70,800,000 61,143,000 78,656,000 82,912,000 73,973,000 87,159,000  81,374,000 90,200,000 
      commissions and execution fees
                                      154,000,000 144 152 166,000,000 167 157 149,000,000 132,539,000 124,351,000 136,641,000 120,331,000 138,092,000 119,538,000 100,584,000 108,071,000 100,885,000 130,665,000 106,432,000 109,199,000 90,144,000 107,519,000 91,733,000 89,007,000 90,200,000 84,264,000 87,649,000 98,114,000 85,490,000 88,247,000  60,285,000 56,300,000 
      revenues:
                                                                      
      non-interest expenses:
                                                                      
      earnings per share:
                                                                      
      basic
    0.6 0.64 0.59 0.51 1.95 2.01 1.68 1.67 1.63 1.5 1.57 1.21 1.44 1.33 0.98 0.73 0.74 0.67 0.44 1.01 1.18 0.84 0.59 0.41 0.6 0.57 0.46 0.43 0.65 0.57 0.52 0.57 0.64 0.44 0.35 0.3 0.41 0.52 0.35 0.38 -0.22 0.06 0.27 0.35 0.33 0.21 0.14 0.26 0.17 0.24 0.5 0.22 0.38 0.26 0.09 0.09 0.2 0.31 0.31 0.45 0.67 0.45 0.68  0.17 0.31 
      diluted
    0.59 0.64 0.59 0.51 1.94 1.99 1.67 1.65 1.61 1.48 1.56 1.2 1.42 1.32 0.97 0.72 0.74 0.66 0.43 1.16 0.84 0.58 0.4 0.6 0.58 0.45 0.43 0.64 0.57 0.51 0.57 0.63 0.43 0.34 0.3 0.4 0.51 0.35 0.37 -0.22 0.05 0.26 0.34 0.32 0.21 0.14 0.26 0.17 0.24 0.5 0.22 0.38 0.26 0.09 0.09 0.2 0.31 0.3 0.44 0.65 0.44 0.66  0.17 0.31 
      weighted-average common shares outstanding:
                                                                      
      basic
    445,448,291 440,931,909 444,060,813 438,457,863 108,923,381 108,112,199 108,757,991 107,719,020 107,070,830 104,965,050 106,233,557 103,587,557 102,958,660 100,460,016 101,818,667 98,853,981 98,226,147 94,167,572 96,229,958 91,365,234 90,789,321 79,939,289 78,509,625 77,357,609 76,751,168 76,121,570 76,742,789 75,868,349 75,101,062 73,438,209 74,649,469 72,476,729 71,475,950 71,109,577 67,985,107 67,083,654 64,967,364 63,985,477 62,458,655 59,481,778 58,473,348 57,099,052 56,079,813 54,664,225 49,966,050 48,929,348 47,499,898 47,488,459 46,686,269 45,576,925 44,832,545 43,018,095 42,231,651 42,222,449 41,802,541 41,216,879 41,214,598 40,916,760 40,536,715  40,602,515 40,410,989 40,143,860 40,153,606 40,188,053 40,000,100 
      diluted
    448,369,291 443,859,546 446,528,983 441,439,924 109,865,741 109,002,938 109,536,360 108,626,836 108,149,440 105,846,877 107,011,427 104,463,729 104,042,571 101,299,609 102,555,482 99,695,489 99,224,776 95,009,880 96,989,968 92,199,169 91,766,142 80,638,908 79,120,548 78,031,462 77,568,464 76,825,863 77,348,976 76,594,934 75,977,511 74,266,370 75,360,089 73,329,496 72,512,462 71,973,483 69,157,614 68,470,224 66,470,913 65,255,903 64,028,731 61,038,926 58,473,348 58,220,070 57,300,230 56,041,282 50,988,214 49,012,567 47,688,314 47,679,818 46,957,081 45,951,464 45,208,557 43,470,928 42,791,822 42,784,799 42,441,995 41,966,053 41,973,518 41,758,253 399,045,731  399,112,085 400,148,064 401,292,908 401,327,844 401,363,708 401,257,739 
      comprehensive income:
                                                                      
      other comprehensive income:
                                                                      
      comprehensive income attributable to noncontrolling interests:
                                                                      
      net income attributable to common stockholders
                                                16,447,000 10,378,000 6,557,000 12,488,000 7,984                  
      comprehensive income attributable to common stockholders
                                                20,077 6,774 2,815 14,382 4,278                  
      see accompanying notes to the unaudited condensed consolidated financial statements.
                                                                      
      less net income attributable to non-controlling interests
                                                     129,859,000 179,993,000 127,087,000 186,989,000 137,683,000 60,928,000 55,796,000 111,689,000  142,493,000        
      comprehensive income attributable to non-controlling interests:
                                                                      
      net income attributable to non-controlling interests
                                                     129,859 179,993 127,087      154,100,000         
      comprehensive income attributable to non-controlling interests
                                                     161,410 104,048 177,231               
      net income available for common shareholders
                                                             12,800,000         
      income before income taxes and minority interest
                                                               268,996,000 347,390,000 259,361,000 373,953,000  164,653,000  
      minority interest subsequent to may 3, 2007
                                                               203,407,000 287,859,000 212,420,000     
      net income and earnings per share for periods subsequent to may 3, 2007
                                                                      
      net income and earning per share for periods subsequent to may 3, 2007
                                                                      
      net income and earnings per share for the period from may 4, 2007 through june 30, 2007:
                                                                      
      statement of income data:
                                                                      
      income before income tax
                                                                     190,300,000 
      income tax expense,
                                                                     6,100,000 
      less — minority interest
                                                                      
    Balance Sheets:
    Quarterly
    Annual
      Unit: USD2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-12-31 2019-09-30 2019-06-30 2019-03-31 2018-12-31 2018-09-30 2018-06-30 2017-09-30 2017-06-30 2017-03-31 2016-09-30 2016-06-30 2015-09-30 2015-06-30 2015-03-31 2014-09-30 2014-06-30 2014-03-31 2013-09-30 2013-06-30 2013-03-31 2012-09-30 2012-06-30 2012-03-31 2011-09-30 2011-06-30 2011-03-31 2010-09-30 2010-06-30 2010-03-31 2009-09-30 2009-03-31 2008-03-31 2007-12-31 2007-06-30 2007-03-31 
                                                                  
        assets
                                                                  
        cash and cash equivalents
      4,963,000,000 5,128,000,000 4,688,000,000 3,500,000,000 3,633,000,000 3,595,000,000 3,918,000,000 4,063,000,000 3,753,000,000 3,824,000,000 3,681,000,000 3,214,000,000 3,436,000,000 3,184,000,000 2,881,000,000 2,667,000,000 2,395,000,000 2,838,000,000 3,218,000,000 2,627,000,000 4,292,000,000 3,292,000,000 3,115,000,000 3,101,000,000 2,882,000,000 3,035,000,000 3,162,000,000 2,546,000,000 2,597,000,000 3,062,000,000 2,500,000,000 2,056,000,000 2,115,000,000 1,656,000,000 1,550,000,000 1,443,000,000 1,588,000,000 1,041,000,000 990,000,000 1,010,759,000 999,630,000 991,439,000 1,548,520,000 1,414,849,000 1,184,868,000 1,659,505,000 2,003,505,000 1,551,399,000 1,555,735,000 1,422,935,000 1,176,160,000 1,291,717,000 1,111,044,000 850,221,000 859,935,000 703,492,000 695,387,000 521,776,000 868,586,000 607,776,000 
        cash - segregated for regulatory purposes
      50,332,000,000 48,784,000,000 45,057,000,000 39,173,000,000 36,600,000,000 35,216,000,000 31,370,000,000 29,961,000,000 28,840,000,000 26,385,000,000  24,354,000,000 25,167,000,000 25,432,000,000 23,536,000,000 24,581,000,000 22,888,000,000 23,125,000,000 22,099,000,000 21,204,000,000 15,903,000,000 12,789,000,000 12,684,000,000 14,272,000,000 9,400,000,000 8,794,000,000 8,819,000,000 8,043,000,000 7,503,000,000 7,523,000,000 7,686,000,000                              
        securities - segregated for regulatory purposes
      26,521,000,000 38,691,000,000 36,972,000,000 29,394,000,000 27,846,000,000 31,103,000,000 28,318,000,000 29,292,000,000 35,386,000,000 31,335,000,000  36,987,000,000 31,781,000,000 31,301,000,000 30,709,000,000 24,350,000,000 15,121,000,000 14,400,000,000 15,635,000,000 25,069,000,000 27,821,000,000 29,316,000,000 33,450,000,000 30,187,000,000 17,824,000,000 21,246,000,000 20,273,000,000 18,532,000,000 15,595,000,000 12,832,000,000 13,368,000,000                              
        securities borrowed
      11,589,000,000 11,568,000,000 10,145,000,000 5,845,000,000 5,369,000,000 7,513,000,000 6,218,000,000 6,362,000,000 5,835,000,000 5,478,000,000 5,999,000,000 5,306,000,000 4,749,000,000 3,908,000,000 3,855,000,000 4,445,000,000 3,912,000,000 3,811,000,000 3,630,000,000 5,708,000,000 4,956,000,000 3,995,000,000 4,836,000,000 3,970,000,000 3,916,000,000 4,010,000,000 4,028,000,000 4,196,000,000 3,331,000,000 3,551,000,000 3,588,000,000 4,195,000,000 3,895,000,000 3,923,000,000 4,785,000,000 3,760,000,000 3,384,000,000 2,834,000,000 2,925,000,000 2,955,064,000 3,499,241,000 2,846,539,000 3,363,242,000 3,267,014,000 3,740,395,000 2,966,071,000 2,638,992,000 3,083,729,000 3,385,320,000 3,215,552,000 3,326,290,000 4,667,660,000 4,113,231,000 6,268,295,000 5,206,406,000 3,534,592,000 6,862,521,000 6,862,028,000 8,117,883,000 10,533,021,000 
        securities purchased under agreements to resell
      7,117,000,000 8,524,000,000 9,529,000,000 8,376,000,000 6,575,000,000 8,176,000,000 6,211,000,000 6,674,000,000 5,504,000,000 5,480,000,000 6,431,000,000 6,699,000,000 6,029,000,000 4,860,000,000 6,288,000,000 6,268,000,000 4,380,000,000 6,108,000,000 4,166,000,000 1,692,000,000 792,000,000 1,401,000,000 1,367,000,000 910,000,000 3,111,000,000 1,391,000,000 1,302,000,000 1,580,000,000 1,242,000,000 331,000,000 533,000,000 589,000,000 366,000,000 112,000,000 148,000,000 113,000,000 215,000,000 148,000,000 167,000,000 273,536,000 274,321,000 282,748,000 487,774,000 587,569,000 461,942,000 344,165,000 377,861,000 365,229,000 463,427,000 304,278,000 325,004,000 397,170,000 1,669,776,000 449,206,000 731,167,000 403,890,000  35,001,000   
        financial instruments owned, at fair value
                                                                  
        financial instruments owned
      4,873,000,000 3,028,000,000 3,777,000,000 3,336,000,000 1,847,000,000 2,844,000,000 1,658,000,000 1,050,000,000 1,422,000,000 744,000,000 398,000,000 310,000,000 396,000,000 1,036,000,000 367,000,000 491,000,000 559,000,000 582,000,000 657,000,000 588,000,000 544,000,000 405,000,000 819,000,000 1,117,000,000 1,755,000,000 1,694,000,000 971,000,000 1,116,000,000 1,931,000,000 2,276,000,000 1,841,000,000 1,844,000,000 1,649,000,000 1,440,000,000 2,228,000,000 2,580,000,000 2,708,000,000 2,289,000,000 2,043,000,000 2,236,853,000 2,398,625,000 2,605,766,000 3,454,897,000 3,558,469,000 3,822,315,000  4,125,971,000  7,271,144,000 4,125,305,000 4,755,718,000 7,088,739,000 7,224,456,000 7,500,378,000 9,344,683,000 9,801,617,000 10,760,416,000 11,018,613,000 9,284,718,000 7,261,800,000 
        financial instruments owned and pledged as collateral
      109,000,000 99,000,000 79,000,000 70,000,000 77,000,000 105,000,000 108,000,000 62,000,000 66,000,000 580,000,000 97,000,000 73,000,000 89,000,000 57,000,000 184,000,000 86,000,000 114,000,000 77,000,000 69,000,000 52,000,000 86,000,000 47,000,000 70,000,000 85,000,000 161,000,000 189,000,000 221,000,000 211,000,000 188,000,000 312,000,000 247,000,000 736,000,000 924,000,000 1,583,000,000 1,595,000,000 1,674,000,000 1,133,000,000 1,324,000,000 1,430,000,000 1,159,323,000 839,467,000 822,434,000 970,376,000 854,203,000 839,994,000  2,035,806,000  1,613,715,000 1,978,158,000 1,663,260,000 2,124,464,000 1,767,681,000 1,847,294,000 905,848,000 975,520,000 5,128,916,000 5,838,900,000 5,597,448,000 7,438,086,000 
        total financial instruments owned, at fair value
      4,982,000,000 3,127,000,000 3,856,000,000 3,406,000,000 1,924,000,000 2,949,000,000 1,766,000,000 1,112,000,000 1,488,000,000 1,324,000,000 495,000,000 383,000,000 485,000,000 1,093,000,000 551,000,000 577,000,000 673,000,000 659,000,000 726,000,000 640,000,000 630,000,000 452,000,000 889,000,000 1,202,000,000 1,916,000,000 1,883,000,000 1,192,000,000 1,327,000,000 2,119,000,000 2,588,000,000 2,088,000,000 2,580,000,000 2,573,000,000 3,023,000,000 3,823,000,000 4,254,000,000 3,841,000,000 3,613,000,000 3,473,000,000 3,396,176,000                     
        receivables
                                                                  
        customers, less allowance for credit losses of 24 and 25 as of december 31, 2025 and december 31, 2024
      90,475,000,000                                                            
        brokers, dealers, and clearing organizations
      5,161,000,000 4,773,000,000 4,074,000,000 2,495,000,000 2,196,000,000 2,210,000,000 1,810,000,000 1,684,000,000 1,643,000,000 1,726,000,000 1,400,000,000 1,666,000,000  3,321,000,000 1,939,000,000 2,188,000,000                                             
        interest
      530,000,000 488,000,000 454,000,000 443,000,000 446,000,000 423,000,000 503,000,000 437,000,000 375,000,000 440,000,000 391,000,000 384,000,000 341,000,000 224,000,000 150,000,000 118,000,000 127,000,000 113,000,000 108,000,000 116,000,000 104,000,000 69,000,000 81,000,000 113,000,000 158,000,000 131,000,000 181,000,000 180,000,000 141,000,000 117,000,000 117,000,000 72,000,000 59,000,000 62,000,000 66,000,000 58,000,000 65,000,000 49,000,000 54,000,000 46,325,000 32,680,000 36,162,000 24,236,000 23,398,000 25,294,000  21,266,000  22,232,000 22,774,000 20,785,000 14,774,000 14,327,000 15,525,000 13,228,000 20,135,000 75,562,000 85,478,000 73,520,000 63,657,000 
        total receivables
      96,166,000,000 82,849,000,000 69,874,000,000 66,795,000,000 67,074,000,000 58,639,000,000 57,565,000,000 53,516,000,000 46,490,000,000 45,768,000,000 43,757,000,000 41,541,000,000 42,570,000,000 43,969,000,000 44,641,000,000 50,612,000,000 58,833,000,000 54,654,000,000 54,045,000,000 46,129,000,000 40,691,000,000 32,987,000,000 27,154,000,000 21,740,000,000 32,147,000,000 26,969,000,000 26,770,000,000 26,746,000,000 27,864,000,000 31,876,000,000 30,221,000,000 26,444,000,000 24,056,000,000 22,387,000,000 19,053,000,000 16,546,000,000 16,803,000,000 20,256,000,000 18,506,000,000 18,193,106,000 16,124,960,000 15,351,933,000 13,243,298,000 12,285,678,000 12,017,656,000                
        other assets
      1,570,000,000 1,551,000,000 1,354,000,000 1,181,000,000 1,121,000,000 1,335,000,000 1,282,000,000 1,258,000,000 1,127,000,000 1,042,000,000 1,003,000,000 985,000,000 926,000,000 936,000,000 925,000,000 923,000,000 911,000,000 687,000,000 812,000,000 695,000,000 594,000,000 466,000,000 470,000,000 467,000,000 480,000,000 476,000,000 488,000,000 556,000,000 296,000,000 299,000,000 319,000,000 413,000,000 405,000,000 446,000,000 455,000,000 456,000,000 484,000,000 505,000,000 510,000,000 488,267,000 499,194,000 499,838,000 527,867,000 553,519,000 572,024,000 573,298,000 566,011,000 550,342,000 551,823,000 495,405,000 505,323,000 492,759,000 500,751,000 501,797,000 507,825,000 515,879,000 531,972,000 547,494,000 415,611,000 152,257,000 
        total assets
      203,240,000,000 200,222,000,000 181,475,000,000 157,670,000,000 150,142,000,000 148,526,000,000 136,648,000,000 132,238,000,000 128,423,000,000 120,636,000,000 120,593,000,000 119,469,000,000 115,143,000,000 114,683,000,000 113,386,000,000 114,423,000,000 109,113,000,000 106,282,000,000 104,331,000,000 103,764,000,000 95,679,000,000 84,698,000,000 83,965,000,000 75,849,000,000 71,676,000,000 67,804,000,000 66,034,000,000 63,526,000,000 60,547,000,000 62,062,000,000 60,303,000,000 59,843,000,000 57,597,000,000 56,257,000,000 55,064,000,000 51,829,000,000 47,226,000,000 45,159,000,000 43,294,000,000 41,608,206,000 40,155,499,000 38,980,376,000 36,277,044,000 35,056,554,000 35,144,104,000 33,861,696,000 32,383,711,000 32,696,398,000 33,151,121,000 30,640,255,000 30,054,599,000 29,660,427,000 27,481,678,000 29,362,208,000 28,845,475,000 25,135,830,000 33,190,623,000 34,542,086,000 33,544,823,000 32,248,688,000 
        liabilities and equity
                                                                  
        short-term borrowings
      19,000,000 10,000,000 8,000,000 12,000,000 14,000,000 33,000,000 11,000,000 14,000,000 17,000,000 11,000,000 17,000,000 10,000,000 18,000,000 35,000,000 17,000,000 11,000,000 27,000,000 28,000,000 425,000,000 212,000,000 118,000,000 628,000,000 139,000,000 14,000,000 16,000,000 15,000,000 15,000,000 15,000,000 17,000,000 28,000,000 193,000,000 38,000,000 9,000,000 38,000,000 24,000,000 8,000,000 4,000,000 9,000,000 29,000,000 59,362,000 15,193,000 33,603,000 2,579,000 12,826,000 18,847,000 16,870,000 13,349,000 14,474,000 151,834,000 42,964,000 171,398,000 148,087,000 150,511,000 406,023,000 263,343,000 248,729,000 1,266,535,000 1,415,725,000 1,246,085,000 1,051,486,000 
        securities loaned
      24,751,000,000 27,031,000,000 21,229,000,000 16,894,000,000 16,248,000,000 16,818,000,000 15,682,000,000 14,216,000,000 11,347,000,000 10,482,000,000 10,261,000,000 10,719,000,000 8,940,000,000 9,490,000,000 10,696,000,000 11,379,000,000 11,769,000,000 10,535,000,000 11,580,000,000 11,867,000,000 9,838,000,000 5,738,000,000 5,856,000,000 4,044,000,000 4,410,000,000 3,955,000,000 4,101,000,000 4,250,000,000 4,037,000,000 3,834,000,000 4,091,000,000 4,132,000,000 3,632,000,000 3,967,000,000 3,617,000,000 3,270,000,000 2,724,000,000 3,141,000,000 3,105,000,000 3,116,395,000 2,932,404,000 2,931,222,000 2,193,008,000 2,468,303,000 2,198,766,000 1,945,097,000 1,858,742,000 1,768,117,000 1,572,403,000 1,757,467,000 1,518,270,000 1,610,546,000 1,410,167,000 1,360,707,000 806,946,000 733,358,000 4,827,701,000 4,968,863,000 5,184,986,000 7,003,580,000 
        financial instruments sold, but not yet purchased, at fair value
      740,000,000 499,000,000 494,000,000 252,000,000 293,000,000 381,000,000 473,000,000 236,000,000 193,000,000 198,000,000 157,000,000 190,000,000 146,000,000 411,000,000 218,000,000 190,000,000 182,000,000 233,000,000 191,000,000 191,000,000 153,000,000 187,000,000 234,000,000 161,000,000 457,000,000 977,000,000 357,000,000 255,000,000 681,000,000 915,000,000 630,000,000 1,177,000,000 974,000,000 1,366,000,000 2,459,000,000 2,874,000,000 3,052,000,000 2,183,000,000 2,238,000,000 2,649,664,000                     
        payables
                                                                  
        customers
      154,336,000,000 149,442,000,000 138,417,000,000 120,654,000,000 115,343,000,000 112,579,000,000 103,373,000,000 101,197,000,000 101,012,000,000 94,873,000,000 95,999,000,000 94,897,000,000 93,195,000,000 92,594,000,000 90,765,000,000 91,097,000,000 85,634,000,000 84,087,000,000 81,452,000,000 81,204,000,000 75,882,000,000 68,830,000,000 68,796,000,000 62,739,000,000 56,248,000,000 54,474,000,000 53,054,000,000 50,742,000,000 47,993,000,000 49,823,000,000 48,239,000,000 47,550,000,000 45,950,000,000 44,301,000,000 42,486,000,000 39,319,000,000 35,315,000,000 33,837,000,000 32,225,000,000 29,966,079,000 28,411,102,000 26,975,572,000 24,809,349,000 22,954,891,000 23,060,902,000  19,237,660,000  17,277,054,000 18,158,887,000 17,408,847,000 13,413,166,000 11,977,488,000 12,031,208,000 9,971,204,000 7,636,317,000 7,489,834,000 7,630,703,000 5,740,710,000 1,081,663,000 
        affiliate
      217,000,000 215,000,000 180,000,000 195,000,000 195,000,000 185,000,000 192,000,000 206,000,000 210,000,000 212,000,000 189,000,000 214,000,000 214,000,000 220,000,000 202,000,000 222,000,000 222,000,000 240,000,000 199,000,000 199,000,000 199,000,000 129,000,000 123,000,000 139,000,000 152,000,000 141,000,000 171,000,000 171,000,000 171,000,000 171,000,000 159,000,000 281,000,000 286,000,000 285,000,000 285,000,000 274,000,000 287,000,000 277,000,000 277,000,000                      
        accounts payable, accrued expenses and other liabilities
      818,000,000 793,000,000 664,000,000 657,000,000 665,000,000 996,000,000 843,000,000 830,000,000 676,000,000 681,000,000 667,000,000 600,000,000 531,000,000 554,000,000 542,000,000 504,000,000 492,000,000 357,000,000 340,000,000 331,000,000 298,000,000 324,000,000 341,000,000 323,000,000 295,000,000 307,000,000 282,000,000 273,000,000 153,000,000 174,000,000 162,000,000 103,000,000 92,000,000 87,000,000 109,000,000 102,000,000 104,000,000 98,000,000 88,000,000 108,267,000 232,398,000 93,145,000 108,895,000 97,837,000 97,688,000  127,887,000  235,537,000 399,779,000 409,497,000 227,960,000 196,456,000 242,575,000 249,559,000 227,077,000 251,218,000 231,008,000 173,872,000 163,202,000 
        total payables
      157,258,000,000 152,308,000,000 141,226,000,000 123,029,000,000 116,990,000,000 115,289,000,000 105,298,000,000 103,113,000,000 102,799,000,000 96,681,000,000 97,501,000,000 96,317,000,000 94,424,000,000 93,847,000,000 91,853,000,000 92,061,000,000 86,913,000,000 85,475,000,000 82,207,000,000 82,057,000,000 76,567,000,000 69,599,000,000 69,482,000,000 63,483,000,000 56,944,000,000 55,204,000,000 53,941,000,000 51,580,000,000 48,656,000,000 50,382,000,000 48,689,000,000 48,184,000,000 46,791,000,000 44,876,000,000 43,094,000,000 39,985,000,000 36,164,000,000 34,592,000,000 32,884,000,000 30,590,159,000 29,301,526,000 27,600,793,000 25,415,283,000 23,639,147,000 23,733,169,000                
        total liabilities
      182,768,000,000 180,742,000,000 162,957,000,000 140,187,000,000 133,545,000,000 132,521,000,000 121,464,000,000 117,579,000,000 114,356,000,000 107,372,000,000 107,936,000,000 107,236,000,000 103,528,000,000 103,783,000,000 102,784,000,000 103,941,000,000 98,891,000,000 96,271,000,000 94,403,000,000 94,327,000,000 86,676,000,000 76,152,000,000 75,711,000,000 67,702,000,000 63,736,000,000 60,151,000,000 58,414,000,000 56,100,000,000 53,391,000,000 55,159,000,000 53,603,000,000 53,531,000,000 51,406,000,000 50,247,000,000 49,194,000,000 46,137,000,000 41,944,000,000 39,925,000,000 38,256,000,000 36,415,580,000 34,879,908,000 33,736,170,000 31,204,162,000 30,161,426,000 30,318,169,000                
        commitments, contingencies and guarantees
                                                                  
        equity
                                                                  
        stockholders’ equity
                                                                  
        common stock, 0.01 par value per share...
                                                                  
        class a – authorized - 4,000,000,000 shares, issued - 446,130,605 and 436,244,236 shares, outstanding – 445,413,716 and 435,618,452 shares as of december 31, 2025 and december 31, 2024
      1,000,000                                                            
        class b – authorized - 1,000 shares, issued and outstanding – 400 shares as of december 31, 2025 and december 31, 2024
                                                                  
        additional paid-in capital
      1,957,000,000 1,943,000,000 1,886,000,000 1,828,000,000 1,816,000,000 1,804,000,000 1,782,000,000 1,736,000,000 1,726,000,000 1,718,000,000 1,626,000,000 1,589,000,000 1,581,000,000 1,572,000,000 1,480,000,000 1,449,000,000 1,442,000,000 1,433,000,000 1,277,000,000 1,249,000,000 1,244,000,000 985,000,000 960,000,000 937,000,000 934,000,000 930,000,000 927,000,000 901,000,000 898,000,000 895,000,000 865,000,000 829,000,000 807,000,000 777,000,000 773,000,000 746,000,000 711,000,000 667,000,000 637,000,000 615,943,000 613,386,000 585,070,000 517,865,000 516,680,000 494,823,000  490,025,000  545,873,000 522,434,000 535,542,000 528,586,000 528,586,000 528,586,000 485,822,000 485,839,000 450,667,000 450,667,000   
        retained earnings
      3,365,000,000 3,117,000,000 2,890,000,000 2,701,000,000 2,515,000,000 2,325,000,000 2,168,000,000 2,016,000,000 1,852,000,000 1,703,000,000 1,546,000,000 1,432,000,000 1,294,000,000 1,168,000,000 1,079,000,000 1,017,000,000 953,000,000 896,000,000 864,000,000 781,000,000 683,000,000 621,000,000 583,000,000 558,000,000 520,000,000 484,000,000 456,000,000 431,000,000 390,000,000 354,000,000 323,000,000 260,000,000 236,000,000 220,000,000 205,000,000 192,000,000 135,000,000 119,000,000 102,000,000 119,423,000 121,942,000 112,491,000 100,712,000 89,262,000 83,879,000  117,464,000  131,895,000 113,958,000 108,755,000 196,176,000 185,140,000 181,300,000 175,057,000 153,829,000 75,351,000    
        accumulated other comprehensive income, net of income taxes of 0 as of both december 31, 2025 and december 31, 2024
      56,000,000                                                            
        treasury stock
      -16,000,000 -7,000,000 -14,000,000 -11,000,000 -7,000,000 -4,000,000 -4,000,000 -3,000,000 -3,000,000 -3,000,000 -5,000,000 -4,000,000 -6,000,000 -4,000,000 -6,000,000 -5,000,000 -5,000,000 -4,000,000 -6,000,000 -4,000,000 -3,000,000 -3,000,000 -3,000,000 -3,000,000 -3,000,000 -3,000,000 -3,000,000  -3,000,000    -3,000,000   -29,000,000 -13,000,000 -28,000,000  -3,167,000 -2,420,000      17,407,000         -117,550,000     
        total stockholders’ equity
      5,363,000,000 5,106,000,000 4,825,000,000 4,502,000,000 4,280,000,000 4,145,000,000 3,927,000,000 3,732,000,000 3,584,000,000 3,390,000,000 3,158,000,000 3,001,000,000 2,848,000,000 2,677,000,000 2,524,000,000 2,456,000,000 2,395,000,000 2,331,000,000 2,150,000,000 2,036,000,000 1,951,000,000 1,609,000,000 1,538,000,000 1,486,000,000 1,452,000,000 1,405,000,000 1,380,000,000 1,325,000,000 1,282,000,000 1,243,000,000 1,183,000,000 1,096,000,000 1,049,000,000 997,000,000 981,000,000 915,000,000 841,000,000 774,000,000 748,000,000 750,860,000 762,354,000 723,043,000 642,598,000 626,316,000 597,526,000 629,609,000 617,589,000 596,963,000 565,679,000 530,595,000 505,258,000 623,191,000 601,124,000 577,442,000 572,144,000 520,011,000 444,696,000 408,403,000   
        noncontrolling interests
      15,109,000,000 14,374,000,000 13,693,000,000 12,981,000,000 12,317,000,000 11,860,000,000 11,257,000,000 10,927,000,000 10,483,000,000 9,874,000,000 9,499,000,000 9,232,000,000 8,767,000,000 8,223,000,000 8,078,000,000 8,026,000,000 7,827,000,000 7,680,000,000 7,778,000,000 7,401,000,000 7,052,000,000 6,937,000,000 6,716,000,000 6,661,000,000 6,488,000,000 6,248,000,000 6,240,000,000 6,101,000,000 5,874,000,000 5,660,000,000 5,517,000,000 5,216,000,000 5,142,000,000 5,013,000,000 4,889,000,000 4,777,000,000 4,441,000,000 4,460,000,000 4,290,000,000 4,441,766,000 4,513,237,000 4,521,163,000 4,430,284,000 4,268,812,000 4,228,409,000 4,525,233,000 4,379,076,000              
        total equity
      20,472,000,000 19,480,000,000 18,518,000,000 17,483,000,000 16,597,000,000 16,005,000,000 15,184,000,000 14,659,000,000 14,067,000,000 13,264,000,000 12,657,000,000 12,233,000,000 11,615,000,000 10,900,000,000 10,602,000,000 10,482,000,000 10,222,000,000 10,011,000,000 9,928,000,000 9,437,000,000 9,003,000,000 8,546,000,000 8,254,000,000 8,147,000,000 7,940,000,000 7,653,000,000 7,620,000,000 7,426,000,000 7,156,000,000 6,903,000,000 6,700,000,000 6,312,000,000 6,191,000,000 6,010,000,000 5,870,000,000 5,692,000,000 5,282,000,000 5,234,000,000 5,038,000,000 5,192,626,000 5,275,591,000 5,244,206,000 5,072,882,000 4,895,128,000 4,825,935,000 5,154,842,000 4,996,665,000 4,965,195,000 4,633,266,000 4,585,543,000 4,440,797,000 5,114,897,000 4,843,496,000 4,882,556,000 4,822,534,000 4,434,808,000     
        total liabilities and equity
      203,240,000,000 200,222,000,000 181,475,000,000 157,670,000,000 150,142,000,000 148,526,000,000 136,648,000,000 132,238,000,000 128,423,000,000 120,636,000,000 120,593,000,000 119,469,000,000 115,143,000,000 114,683,000,000 113,386,000,000 114,423,000,000 109,113,000,000 106,282,000,000 104,331,000,000 103,764,000,000 95,679,000,000 84,698,000,000 83,965,000,000 75,849,000,000 71,676,000,000 67,804,000,000 66,034,000,000 63,526,000,000 60,547,000,000 62,062,000,000 60,303,000,000 59,843,000,000 57,597,000,000 56,257,000,000 55,064,000,000 51,829,000,000 47,226,000,000 45,159,000,000 43,294,000,000 41,608,206,000         33,151,121,000 30,640,255,000 30,054,599,000 29,660,427,000 27,481,678,000 29,362,208,000 28,845,475,000 25,135,830,000     
        customers, less allowance for credit losses of 22 and 25 as of september 30, 2025 and december 31, 2024
       77,588,000,000                                                           
        securities sold under agreements to repurchase
       894,000,000              300,000,000         1,909,000,000                                   17,286,000 
        class a – authorized - 4,000,000,000 shares, issued - 445,923,364 and 436,244,236 shares, outstanding – 445,331,214 and 435,618,452 shares as of september 30, 2025 and december 31, 2024
       1,000,000                                                           
        class b – authorized - 1,000 shares, issued and outstanding – 400 shares as of september 30, 2025 and december 31, 2024
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 as of both september 30, 2025 and december 31, 2024
       52,000,000                                                           
        customers, less allowance for credit losses of 23 and 25 as of june 30, 2025 and december 31, 2024
        65,346,000,000                                                          
        class a – authorized - 4,000,000,000 shares, issued - 442,087,364 and 436,244,236 shares, outstanding – 441,362,243 and 435,618,452 shares as of june 30, 2025 and december 31, 2024
        1,000,000                                                          
        class b – authorized - 1,000 shares, issued and outstanding – 400 shares as of june 30, 2025 and december 31, 2024
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 as of both june 30, 2025 and december 31, 2024
        62,000,000                                                          
        customers, less allowance for credit losses of 26 and 25 as of march 31, 2025 and december 31, 2024
         63,857,000,000                                                         
        class a – authorized - 1,000,000,000, issued - 109,111,059 and 109,061,059 shares, outstanding – 108,942,324 and 108,904,613 shares as of march 31, 2025 and december 31, 2024
         1,000,000                                                         
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2025 and december 31, 2024
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 as of both march 31, 2025 and december 31, 2024
         -17,000,000                                                         
        customers, less allowance for credit losses of 25 and 10 as of december 31, 2024 and 2023
          64,432,000,000                                                        
        class a – authorized - 1,000,000,000, issued - 109,061,059 and 107,178,928 shares, outstanding – 108,904,613 and 107,045,894 shares as of december 31, 2024 and 2023
          1,000,000                                                        
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2024 and 2023
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of december 31, 2024 and 2023
          -45,000,000                                                        
        customers, less allowance for credit losses of 24 and 10 as of september 30, 2024 and december 31, 2023
           56,006,000,000                                                       
        class a – authorized - 1,000,000,000, issued - 109,009,224 and 107,178,928 shares, outstanding – 108,867,197 and 107,045,894 shares as of september 30, 2024 and december 31, 2023
           1,000,000                                                       
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2024 and december 31, 2023
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 as of both september 30, 2024 and december 31, 2023
           19,000,000                                                       
        customers, less allowance for credit losses of 16 and 10 as of june 30, 2024 and december 31, 2023
            55,252,000,000                                                      
        class a – authorized - 1,000,000,000, issued - 108,626,224 and 107,178,928 shares, outstanding – 108,485,969 and 107,045,894 shares as of june 30, 2024 and december 31, 2023
            1,000,000                                                      
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2024 and december 31, 2023
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2024 and december 31, 2023
            -20,000,000                                                      
        customers, less allowance for credit losses of 14 and 10 as of march 31, 2024 and december 31, 2023
             51,395,000,000                                                     
        class a – authorized - 1,000,000,000, issued - 107,228,928 and 107,178,928 shares, outstanding – 107,094,094 and 107,045,894 shares as of march 31, 2024 and december 31, 2023
             1,000,000                                                     
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2024 and december 31, 2023
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2024 and december 31, 2023
             -18,000,000                                                     
        customers, less allowance for credit losses of 10 and 10 as of december 31, 2023 and 2022
              44,472,000,000                                                    
        class a – authorized - 1,000,000,000, issued - 107,178,928 and 103,057,148 shares, outstanding – 107,045,894 and 102,887,728 shares as of december 31, 2023 and 2022
              1,000,000                                                    
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2023 and 2022
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of december 31, 2023 and 2022
              8,000,000                                                    
        customers, less allowance for credit losses of 12 and 10 as of september 30, 2023 and december 31, 2022
               43,602,000,000                                                   
        class a – authorized - 1,000,000,000, issued - 107,125,489 and 103,057,148 shares, outstanding – 106,992,860 and 102,887,728 shares as of september 30, 2023 and december 31, 2022
               1,000,000                                                   
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2023 and december 31, 2022
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 as of september 30, 2023 and december 31, 2022
               -29,000,000                                                   
        cash – segregated for regulatory purposes
                25,770,000,000                                                  
        securities – segregated for regulatory purposes
                33,457,000,000                                                  
        customers, less allowance for credit losses of 11 and 10 as of june 30, 2023 and december 31, 2022
                41,966,000,000                                                  
        class a – authorized – 1,000,000,000, issued – 104,492,741 and 103,057,148 shares, outstanding – 104,328,801 and 102,887,728 shares as of june 30, 2023 and december 31, 2022
                1,000,000                                                  
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2023 and december 31, 2022
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2023 and december 31, 2022
                -10,000,000                                                  
        customers, less allowance for credit losses of 12 and 10 as of march 31, 2023 and december 31, 2022
                 39,491,000,000                                                 
        class a – authorized - 1,000,000,000, issued - 103,128,710 and 103,057,148 shares, outstanding – 102,984,753 and 102,887,728 shares as of march 31, 2023 and december 31, 2022
                 1,000,000                                                 
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2023 and december 31, 2022
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2023 and december 31, 2022
                 -17,000,000                                                 
        customers, less allowance for credit losses of 10 and 8 as of december 31, 2022 and 2021
                  38,760,000,000                                                
        brokers, dealers and clearing organizations
                  3,469,000,000    3,771,000,000 4,038,000,000 3,983,000,000 3,368,000,000 1,254,000,000 2,575,000,000 1,395,000,000 1,535,000,000 685,000,000 868,000,000 685,000,000 698,000,000 706,000,000 846,000,000 1,134,000,000 1,039,000,000 1,164,000,000 1,052,000,000 764,000,000 1,351,000,000 859,000,000 1,205,000,000 1,015,000,000 885,333,000 765,337,000 902,173,000 490,859,000 949,835,000 807,643,000  1,079,882,000  1,148,961,000 947,365,000 739,679,000 537,438,000 608,887,000 685,850,000 1,998,628,000 1,851,802,000 1,630,805,000 2,484,163,000 3,474,928,000 1,682,564,000 
        class a – authorized - 1,000,000,000, issued - 103,057,148 and 98,359,572 shares, outstanding – 102,887,728 and 98,204,658 shares as of december 31, 2022 and 2021
                  1,000,000                                                
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2022 and 2021
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of december 31, 2022 and 2021
                  -22,000,000                                                
        customers, less allowance for credit losses of 10 and 8 as of september 30, 2022 and december 31, 2021
                   40,424,000,000                                               
        class a – authorized – 1,000,000,000, issued – 103,003,052 and 98,359,572 shares, outstanding – 102,865,696 and 98,204,658 shares as of september 30, 2022 and december 31, 2021
                   1,000,000                                               
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2022 and december 31, 2021
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of september 30, 2022 and december 31, 2021
                   -60,000,000                                               
        customers, less allowance for credit losses of 10 and 8 as of june 30, 2022 and december 31, 2021
                    42,552,000,000                                              
        class a – authorized – 1,000,000,000, issued – 99,731,366 and 98,359,572 shares, outstanding – 99,560,859 and 98,204,658 shares as of june 30, 2022 and december 31, 2021
                    1,000,000                                              
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2022 and december 31, 2021
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2022 and december 31, 2021
                    -30,000,000                                              
        customers, less allowance for credit losses of 9 and 8 as of march 31, 2022 and december 31, 2021
                     48,306,000,000                                             
        class a – authorized - 1,000,000,000, issued - 98,409,572 and 98,359,572 shares, outstanding – 98,247,247 and 98,204,658 shares as of march 31, 2022 and december 31, 2021
                     1,000,000                                             
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2022 and december 31, 2021
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2022 and december 31, 2021
                     -6,000,000                                             
        customers, less allowance for credit losses of 8 and 17 as of december 31, 2021 and 2020
                      54,935,000,000                                            
        class a – authorized - 1,000,000,000, issued - 98,359,572 and 90,909,889 shares, outstanding – 98,204,658 and 90,773,105 shares as of december 31, 2021 and 2020
                      1,000,000                                            
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2021 and 2020
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of december 31, 2021 and 2020
                      4,000,000                                            
        customers, less allowance for credit losses of 9 and 17 as of september 30, 2021 and december 31, 2020
                       50,503,000,000                                           
        class a – authorized - 1,000,000,000, issued - 98,305,396 and 90,909,889 shares, outstanding – 98,162,756 and 90,773,105 shares as of september 30, 2021 and december 31, 2020
                       1,000,000                                           
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2021 and december 31, 2020
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of september 30, 2021 and december 31, 2020
                       5,000,000                                           
        customers, less allowance for credit losses of 10 and 17 as of june 30, 2021 and december 31, 2020
                        49,954,000,000                                          
        class a – authorized - 1,000,000,000, issued - 92,220,818 and 90,909,889 shares, outstanding – 92,045,760 and 90,773,105 shares as of june 30, 2021 and december 31, 2020
                        1,000,000                                          
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2021 and december 31, 2020
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2021 and december 31, 2020
                        14,000,000                                          
        customers, less allowance for credit losses of 14 and 17 as of march 31, 2021 and december 31, 2020
                         42,645,000,000                                         
        class a – authorized - 1,000,000,000, issued - 90,959,889 and 90,909,889 shares, outstanding – 90,807,181 and 90,773,105 shares as of march 31, 2021 and december 31, 2020
                         1,000,000                                         
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2021 and december 31, 2020
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2021 and december 31, 2020
                         9,000,000                                         
        customers, less allowance for credit losses of 17 and 86 as of december 31, 2020 and 2019
                          39,333,000,000                                        
        class a – authorized - 1,000,000,000, issued - 90,909,889 and 76,889,040 shares, outstanding – 90,773,105 and 76,750,110 shares as of december 31, 2020 and 2019
                          1,000,000                                        
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2020 and 2019
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of december 31, 2020 and 2019
                          26,000,000                                        
        customers, less allowance for credit losses of 17 and 86 as of september 30, 2020 and december 31, 2019
                           30,343,000,000                                       
        class a – authorized - 1,000,000,000, issued - 79,187,067 and 76,889,040 shares, outstanding – 79,054,435 and 76,750,110 shares as of september 30, 2020 and december 31, 2019
                           1,000,000                                       
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2020 and december 31, 2019
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of september 30, 2020 and december 31, 2019
                           5,000,000                                       
        customers, less allowance for credit losses of 20 and 86 as of june 30, 2020 and december 31, 2019
                            25,678,000,000                                      
        class a – authorized - 1,000,000,000, issued - 78,187,067 and 76,889,040 shares, outstanding – 78,051,862 and 76,750,110 shares as of june 30, 2020 and december 31, 2019
                            1,000,000                                      
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2020 and december 31, 2019
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2020 and december 31, 2019
                            -3,000,000                                      
        customers, less allowance for credit losses of 93 and 86 as of march 31, 2020 and december 31, 2019
                             20,092,000,000                                     
        class a – authorized - 1,000,000,000, issued - 76,889,351 and 76,889,040 shares, outstanding – 76,752,269 and 76,750,110 shares as of march 31, 2020 and december 31, 2019
                             1,000,000                                     
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2020 and december 31, 2019
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2020 and december 31, 2019
                             -7,000,000                                     
        customers, less allowance for doubtful accounts of 86 and 42 as of december 31, 2019 and 2018
                              31,304,000,000                                    
        class a – authorized - 1,000,000,000, issued - 76,889,040 and 75,230,400 shares, outstanding – 76,750,110 and 75,100,952 shares as of december 31, 2019 and 2018
                              1,000,000                                    
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2019 and 2018
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of december 31, 2019 and 2018
                                                                  
        customers, less allowance for doubtful accounts of 85 and 42 as of september 30, 2019 and december 31, 2018
                               25,970,000,000                                   
        class a – authorized - 1,000,000,000, issued - 76,878,300 and 75,230,400 shares, outstanding – 76,748,852 and 75,100,952 shares as of september 30, 2019 and december 31, 2018
                               1,000,000                                   
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2019 and december 31, 2018
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of september 30, 2019 and december 31, 2018
                               -7,000,000                                   
        financial instruments owned, at fair value:
                                                                  
        customers, less allowance for doubtful accounts of 89 and 42 as of june 30, 2019 and december 31, 2018
                                25,904,000,000                                  
        class a – authorized - 1,000,000,000, issued - 76,856,784 and 75,230,400 shares, outstanding – 76,727,336 and 75,100,952 shares as of june 30, 2019 and december 31, 2018
                                1,000,000                                  
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2019 and december 31, 2018
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2019 and december 31, 2018
                                -1,000,000                                  
        customers, less allowance for doubtful accounts of 85 and 42 as of march 31, 2019 and december 31, 2018
                                 25,868,000,000                                 
        class a – authorized - 1,000,000,000, issued - 75,231,305 and 75,230,400 shares, outstanding – 75,101,857 and 75,100,952 shares as of march 31, 2019 and december 31, 2018
                                 1,000,000                                 
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2019 and december 31, 2018
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2019 and december 31, 2018
                                                                  
        customers, less allowance for doubtful accounts of 42 and 40 as of december 31, 2018 and 2017
                                  27,017,000,000                                
        class a – authorized - 1,000,000,000, issued - 75,230,400 and 71,609,049 shares, outstanding – 75,100,952 and 71,475,755 shares as of december 31, 2018 and 2017
                                  1,000,000                                
        class b – authorized, issued and outstanding – 100 shares as of december 31, 2018 and 2017
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 1 as of december 31, 2018 and 2017
                                  -4,000,000                                
        customers, less allowance for doubtful accounts of 41 and 40 as of september 30, 2018 and december 31, 2017
                                   30,913,000,000                               
        class a – authorized - 1,000,000,000, issued - 75,226,888 and 71,609,049 shares, outstanding – 75,097,440 and 71,475,755 shares as of september 30, 2018 and december 31, 2017
                                   1,000,000                               
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2018 and december 31, 2017
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 1 as of september 30, 2018 and december 31, 2017
                                                                  
        receivables:
                                                                  
        customers, less allowance for doubtful accounts of 41 and 40 as of june 30, 2018 and december 31, 2017
                                    28,970,000,000                              
        payables:
                                                                  
        class a – authorized - 1,000,000,000, issued - 73,674,391 and 71,609,049 shares, outstanding – 73,544,943 and 71,475,755 shares as of june 30, 2018 and december 31, 2017
                                    1,000,000                              
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2018 and december 31, 2017
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 1 as of june 30, 2018 and december 31, 2017
                                                                  
        cash and securities - segregated for regulatory purposes
                                     23,566,000,000 24,187,000,000 24,710,000,000 25,250,000,000 25,257,000,000 20,911,000,000 16,762,000,000 16,723,000,000 15,291,298,000 15,520,061,000 15,579,679,000 12,681,070,000 12,535,253,000 12,504,910,000 12,325,775,000 11,030,651,000 11,028,544,000 10,302,842,000 8,807,874,000 8,256,718,000 7,623,281,000 6,027,296,000 6,812,926,000 6,334,286,000 5,448,337,000 5,544,412,000 5,232,557,000 4,416,956,000  
        customers, less allowance for doubtful accounts of 95 and 97 as of september 30, 2017 and december 31, 2016
                                     25,333,000,000                             
        class a – authorized - 1,000,000,000, issued - 71,607,035 and 68,119,412 shares, outstanding – 71,473,741 and 67,984,973 shares as of september 30, 2017 and december 31, 2016
                                     1,000,000                             
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2017 and december 31, 2016
                                                                  
        accumulated other comprehensive income, net of income taxes of 1 and 0 as of september 30, 2017 and december 31, 2016
                                     9,000,000                             
        customers, less allowance for doubtful accounts of 95 and 97 as of june 30, 2017 and december 31, 2016
                                      22,833,000,000                            
        class a – authorized - 1,000,000,000, issued - 70,384,414 and 68,119,412 shares, outstanding – 70,251,034 and 67,984,973 shares as of june 30, 2017 and december 31, 2016
                                      1,000,000                            
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2017 and december 31, 2016
                                                                  
        accumulated other comprehensive income, net of income taxes of 1 and 0 as of june 30, 2017 and december 31, 2016
                                      8,000,000                            
        customers, less allowance for doubtful accounts of 98 and 97 as of march 31, 2017 and december 31, 2016
                                       21,273,000,000                           
        class a – authorized - 1,000,000,000, issued - 68,121,374 and 68,119,412 shares, outstanding – 67,987,994 and 67,984,973 shares as of march 31, 2017 and december 31, 2016
                                       1,000,000                           
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2017 and december 31, 2016
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of march 31, 2017 and december 31, 2016
                                       2,000,000                           
        customers, less allowance for doubtful accounts of 102 and 130 as of september 30, 2016 and december 31, 2015
                                        18,223,000,000                          
        class a – authorized - 1,000,000,000, issued - 68,117,402 and 64,121,150 shares, outstanding – 67,982,963 and 63,985,335 shares as of september 30, 2016 and december 31, 2015
                                        1,000,000                          
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2016 and december 31, 2015
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of september 30, 2016 and december 31, 2015
                                        5,000,000                          
        customers, less allowance for doubtful accounts of 99 and 130 as of june 30, 2016 and december 31, 2015
                                         15,137,000,000                         
        class a – authorized - 1,000,000,000, issued - 66,516,360 and 64,121,150 shares, outstanding – 65,671,645 and 63,985,335 shares as of june 30, 2016 and december 31, 2015
                                         1,000,000                         
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2016 and december 31, 2015
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 0 as of june 30, 2016 and december 31, 2015
                                         5,000,000                         
        customers, less allowance for doubtful accounts of 132 and 7 as of september 30, 2015 and december 31, 2014
                                          15,879,000,000                        
        class a – authorized - 1,000,000,000, issued - 63,868,716 and 58,612,245 shares, outstanding – 63,447,715 and 58,473,186 shares as of september 30, 2015 and december 31, 2014
                                          1,000,000                        
        class b – authorized, issued and outstanding – 100 shares as of september 30, 2015 and december 31, 2014
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 1 as of september 30, 2015 and december 31, 2014
                                          7,000,000                        
        customers, less allowance for doubtful accounts of 125 and 7 as of june 30, 2015 and december 31, 2014
                                           19,002,000,000                       
        class a – authorized - 1,000,000,000, issued - 61,073,877 and 58,612,245 shares, outstanding – 60,216,664 and 58,473,186 shares as of june 30, 2015 and december 31, 2014
                                           1,000,000                       
        class b – authorized, issued and outstanding – 100 shares as of june 30, 2015 and december 31, 2014
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 1 as of june 30, 2015 and december 31, 2014
                                           15,000,000                       
        customers, less allowance for doubtful accounts of 128 and 7 as of march 31, 2015 and december 31, 2014
                                            17,437,000,000                      
        class a – authorized - 1,000,000,000, issued - 58,616,821 and 58,612,245 shares, outstanding – 58,478,751 and 58,473,186 shares as of march 31, 2015 and december 31, 2014
                                            1,000,000                      
        class b – authorized, issued and outstanding – 100 shares as of march 31, 2015 and december 31, 2014
                                                                  
        accumulated other comprehensive income, net of income taxes of 0 and 1 as of march 31, 2015 and december 31, 2014
                                            11,000,000                      
        customers, less allowance for doubtful accounts of 8,153 and 67,999 at september 30, 2014 and december 31, 2013
                                             17,261,440,000                     
        receivable from affiliate
                                             8,000  38,000 651,000 639,000 621,000  593,000  20,447,000 581,000 577,000 1,188,000 1,159,000 1,159,000 1,161,000 642,000 5,223,000    
        liabilities:
                                                                  
        payable to affiliate
                                             271,467,000 271,467,000 287,215,000 259,723,000 259,714,000 259,735,000  271,602,000  287,402,000 284,862,000 284,858,000 298,982,000 298,982,000 298,982,000 313,770,000 313,805,000 323,970,000 323,901,000 211,095,000  
        class a – authorized - 1,000,000,000, issued - 57,247,149 and 54,788,049 shares, outstanding – 57,104,682 and 54,664,095 shares at september 30, 2014 and december 31, 2013
                                             572,000                     
        class b – authorized, issued and outstanding – 100 shares at september 30, 2014 and december 31, 2013
                                                                  
        accumulated other comprehensive income, net of income taxes of 868 and 936 at september 30, 2014 and december 31, 2013
                                             18,089,000                     
        total financial instruments owned
                                              3,238,092,000 3,428,200,000 4,425,273,000 4,412,672,000 4,662,309,000                
        customers, less allowance for doubtful accounts of 7,591 and 67,999 at june 30, 2014 and december 31, 2013
                                              15,326,943,000                    
        financial instruments sold but not yet purchased, at fair value
                                              2,630,785,000 3,170,552,000 3,593,292,000                  
        class a – authorized - 1,000,000,000, issued - 57,220,459 and 54,788,049 shares, outstanding – 57,098,889 and 54,664,095 shares at june 30, 2014 and december 31, 2013
                                              572,000                    
        class b – authorized, issued and outstanding – 100 shares at june 30, 2014 and december 31, 2013
                                                                  
        accumulated other comprehensive income, net of income taxes of 1,121 and 936 at june 30, 2014 and december 31, 2013
                                              28,874,000                    
        total liabilities and stockholders’ equity
                                              40,155,499,000 38,980,376,000 36,277,044,000 35,056,554,000 35,144,104,000 33,861,696,000 32,383,711,000 32,696,398,000         33,190,623,000    
        customers, less allowance for doubtful accounts of 68,024 and 67,999 at march 31, 2014 and december 31, 2013
                                               14,413,560,000                   
        class a – authorized - 1,000,000,000, issued - 54,789,790 and 54,788,049 shares, outstanding – 54,666,825 and 54,664,095 shares at march 31, 2014 and december 31, 2013
                                               548,000                   
        class b – authorized, issued and outstanding – 100 shares at march 31, 2014 and december 31, 2013
                                                                  
        accumulated other comprehensive income, net of income taxes of 1,059 and 936 at march 31, 2014 and december 31, 2013
                                               27,396,000                   
        customers, less allowance for doubtful accounts of 3,540 and 1,416 at september 30, 2013 and december 31, 2012
                                                12,727,552,000                  
        class a – authorized - 1,000,000,000, issued - 50,096,562 and 47,797,844 shares, outstanding – 49,971,727 and 47,499,739 shares at september 30, 2013 and december 31, 2012
                                                501,000                  
        class b – authorized, issued and outstanding – 100 shares at september 30, 2013 and december 31, 2012
                                                                  
        accumulated other comprehensive income, net of income taxes of 1,081 and 1,417 at september 30, 2013 and december 31, 2012
                                                26,038,000                  
        see accompanying notes to the unaudited condensed consolidated financial statements.
                                                                  
        customers, less allowance for doubtful accounts of 2,529 and
                                                                  
        1,416 at june 30, 2013 and december 31, 2012
                                                 11,311,806,000                 
        financial instruments sold but not yet purchased,
                                                                  
        at fair value
                                                 4,041,150,000 4,367,387,000  5,359,268,000  8,360,808,000 4,939,976,000 5,333,936,000 8,340,378,000 7,912,306,000   9,978,883,000     
        class a – authorized - 1,000,000,000, issued - 50,090,836 and
                                                                  
        47,797,844 shares, outstanding – 49,965,451 and 47,499,739 shares
                                                                  
        at june 30, 2013 and december 31, 2012
                                                 500,000                 
        class b – authorized, issued and outstanding – 100 shares
                                                                  
        accumulated other comprehensive income, net of income taxes of
                                                                  
        1,023 and 1,417 at june 30, 2013 and december 31, 2012
                                                 22,408,000                 
        customers, less allowance for doubtful accounts of 1,795 and
                                                                  
        class a – authorized - 1,000,000,000, issued - 47,801,449 and
                                                                  
        trading assets, at fair value:
                                                                  
        other receivables:
                                                                  
        trading liabilities - financial instruments sold but not yet purchased,
                                                                  
        other payables:
                                                                  
        senior notes payable
                                                     30,238,000 125,873,000 178,300,000 200,889,000 219,632,000 230,854,000 218,198,000 185,123,000 146,090,000 165,023,000 160,456,000 154,698,000 154,604,000 
        senior secured credit facility
                                                              150,000,000 300,000,000 150,000,000 150,000,000 
        redeemable noncontrolling interests
                                                                  
        trading assets, at fair value: - sum
                                                    6,161,777,000   6,103,463,000 6,418,978,000 9,213,203,000   10,250,531,000 10,777,137,000  16,857,513,000 14,882,166,000  
        customers, less allowance for doubtful accounts of 3,648 and
                                                                  
        other payables: - sum
                                                    20,155,687,000   19,136,005,000 18,389,309,000 14,226,887,000   12,043,876,000 9,593,962,000  9,807,365,000 7,838,251,000  
        equity:
                                                                  
        stockholders’ equity:
                                                                  
        class a – authorized - 1,000,000,000, issued - 47,788,659 and
                                                                  
        non-controlling interests
                                                     4,368,232,000 4,067,587,000 4,054,948,000 3,935,539,000 4,491,706,000 4,242,372,000 4,305,114,000 4,250,390,000 3,914,797,000     
        customers, less allowance for doubtful accounts of 5,063 and
                                                                  
        class a – authorized - 1,000,000,000, issued - 52,281,648 and
                                                                  
        customers, less allowance for doubtful accounts of 20,746 and
                                                                  
        class a – authorized - 1,000,000,000, issued - 50,298,024
                                                                  
        customers, less allowance for doubtful accounts of 18,286 and
                                                                  
        customers, less allowance for doubtful accounts of 18,212 and
                                                                  
        class a – authorized - 1,000,000,000, issued - 47,784,286
                                                                  
        customers, less allowance for doubtful accounts of 18,471 and
                                                                  
        customers, less allowance for doubtful accounts of 16,514 and
                                                                  
        trading liabilities - financial instruments sold but not yet purchased, at fair value
                                                           9,627,939,000 10,723,653,000   14,315,853,000 15,938,278,000  
        customers, less allowance for doubtful accounts of 16,636 and
                                                                  
        17,572 at september 30, 2009 and december 31, 2008
                                                            2,942,308,000      
        other receivables: - sum
                                                            4,955,325,000 3,752,503,000  4,485,717,000 4,843,621,000  
        class a – authorized - 1,000,000,000, issued - 45,336,255
                                                                  
        outstanding – 41,214,498 and 40,536,615 shares at september 30,
                                                                  
        2009 and december 31, 2008
                                                            453,000      
        at september 30, 2009 and december 31, 2008
                                                            -99,643,000      
        6,076 and 2,271 at september 30, 2009 and december 31, 2008
                                                            10,455,000      
        customers, less allowance for doubtful accounts of 18,154 and
                                                                  
        17,572 at march 31, 2009 and december 31, 2008
                                                             1,879,924,000     
        outstanding – 40,536,615 shares at march 31, 2009
                                                                  
        and december 31, 2008
                                                             453,000     
        at march 31, 2009 and december 31, 2008
                                                                  
        accumulated other comprehensive income, net of income taxes of (1,488) and 2,271 at
                                                                  
        march 31, 2009 and december 31, 2008
                                                             -2,560,000     
        customers, less allowance for doubtful accounts of3,483 and 1,999 at march 31, 2008 and december 31, 2007
                                                              1,955,409,000    
        liabilities and stockholders’ equity
                                                                  
        trading liabilities - financial instruments sold but notyet purchased, at fair value
                                                              13,523,203,000    
        minority interest
                                                              3,571,038,000 3,165,421,000 2,688,042,000  
        class a – authorized- 1,000,000, 000, issued-43,270,823, outstanding– 40,143,760
                                                              433,000    
        class b – authorized- 100, issued- 100, outstanding– 100
                                                                  
        accumulated other comprehensive income, net of income taxes of 7,677 and 2,388
                                                              13,211,000    
        customers, less allowance for doubtful accounts of 1,999 and 1,031 at december 31, 2007 and 2006
                                                               1,916,076,000   
        liabilities, redeemable members’ interests and stockholders’ equity
                                                                  
        redeemable members’ interests, including accumulated other comprehensive income of 98,568
                                                                  
        class a — authorized- 1,000,000, 000, issued- 43,270,823, outstanding — 40,143,760
                                                               433,000   
        class b — authorized- 100, issued- 100, outstanding — 100
                                                                  
        retained earnings, including accumulated other comprehensive income of 4,109, net of income taxes of 2,388
                                                               52,269,000   
        total liabilities, redeemable members’ interests and stockholders’ equity
                                                               34,542,086,000 33,544,823,000  
        customers, less allowance for doubtful accounts of 969 at june 30, 2007 and 1,031 at december 31, 2006
                                                                1,295,173,000  
        stockholders’ equity, including accumulated other comprehensive income of
                                                                344,483,000  
        cash and securities — segregated for regulatory purposes
                                                                 3,427,864,000 
        liabilities and redeemable members’ interest
                                                                  
        trading liabilities — financial instruments sold but not yet purchased, at fair value
                                                                 14,719,628,000 
        redeemable members’ interests
                                                                  
        total liabilities and redeemable members’ interest
                                                                 32,248,688,000 
        revenues:
                                                                  
        trading gains
                                                                 198,802,000 
        commissions and execution fees
                                                                 56,335,000 
        interest income
                                                                 184,519,000 
        other income
                                                                 24,689,000 
        total revenues
                                                                 464,345,000 
        interest expense
                                                                 133,537,000 
        total net revenues
                                                                 330,808,000 
        non-interest expenses:
                                                                  
        execution and clearing
                                                                 90,120,000 
        employee compensation and benefits
                                                                 32,793,000 
        occupancy, depreciation and amortization
                                                                 5,957,000 
        communications
                                                                 3,463,000 
        general and administrative
                                                                 8,136,000 
        total non-interest expenses
                                                                 140,469,000 
        income before income taxes
                                                                 190,339,000 
        income tax expense
                                                                 6,143,000 
        net income
                                                                 184,196,000 
      Cashflow Statements:
      Quarterly
      Annual
        Unit: USD2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-12-31 2019-09-30 2019-06-30 2019-03-31 2018-12-31 2018-09-30 2018-06-30 2018-03-31 2017-09-30 2017-06-30 2017-03-31 2016-09-30 2016-06-30 2016-03-31 2014-09-30 2014-06-30 2014-03-31 2013-09-30 2013-06-30 2013-03-31 2012-09-30 2012-06-30 2012-03-31 2011-09-30 2010-09-30 2010-06-30 2010-03-31 2009-03-31 2008-12-31 2008-09-30 2008-06-30 2008-03-31 2007-06-30 2007-03-31 
                                                                  
          cash flows from operating activities
                                                                  
          net income
        1,201,000,000 1,186,000,000 1,006,000,000 964,000,000 969,000,000 834,000,000 809,000,000 795,000,000 739,000,000 772,000,000 601,000,000 700,000,000 633,000,000 483,000,000 360,000,000 366,000,000 338,000,000 206,000,000 506,000,000 586,000,000 380,000,000 302,000,000 207,000,000 290,000,000 294,000,000 261,000,000 210,000,000 324,000,000 290,000,000 258,000,000 258,000,000 319,000,000 247,000,000 187,000,000 195,000,000 168,000,000 200,000,000 310,000,000 31,690,000 160,758,000 201,194,000 185,968,000 120,036,000 75,288,000     148,719,000 64,768,000 59,687,000 155,115,000  27,147,000 18,348,000 27,191,000 -177,190,000 184,196,000 
          adjustments to reconcile net income to net cash from operating activities
                                                                  
          deferred income taxes
        13,000,000 20,000,000 9,000,000 -1,000,000 -9,000,000 1,000,000 7,000,000 -1,000,000 21,000,000 2,000,000 4,000,000 3,000,000 12,000,000 2,000,000 4,000,000 2,000,000 5,000,000 -11,000,000 14,000,000 15,000,000 -3,000,000 2,000,000 5,000,000 5,000,000 7,000,000 5,000,000 3,000,000 9,000,000 2,000,000 8,000,000 7,000,000 4,000,000 8,000,000 10,000,000 5,000,000 3,000,000 10,000,000 8,000,000 6,397,000 6,057,000 2,390,000 1,814,000 -409,000 9,759,000        11,348,000  19,849,000 12,711,000 14,382,000   
          depreciation and amortization
        16,000,000 15,000,000 15,000,000 15,000,000 16,000,000 17,000,000 17,000,000 17,000,000 16,000,000 17,000,000 16,000,000 16,000,000 15,000,000 14,000,000 14,000,000 15,000,000 13,000,000 12,000,000 12,000,000 13,000,000 11,000,000 11,000,000 10,000,000 10,000,000 10,000,000 7,000,000 7,000,000 7,000,000 8,000,000 6,000,000 5,000,000 7,000,000 6,000,000 6,000,000 6,000,000 6,000,000 6,000,000 6,000,000 4,624,000 4,555,000 4,896,000 4,475,000 4,470,000 4,969,000        4,980,000  4,547,000 4,217,000 4,350,000 2,998,000 2,953,000 
          amortization of right-of-use assets
        8,000,000 9,000,000 8,000,000 7,000,000 7,000,000 8,000,000 7,000,000 7,000,000 9,000,000 6,000,000 7,000,000 7,000,000 7,000,000 6,000,000 7,000,000 6,000,000 7,000,000 6,000,000 6,000,000 5,000,000 6,000,000 4,000,000 5,000,000 5,000,000 6,000,000 5,000,000 5,000,000 5,000,000                               
          employee stock plan compensation
        28,000,000 31,000,000 28,000,000 31,000,000 32,000,000 26,000,000 26,000,000 28,000,000 25,000,000 26,000,000 23,000,000 26,000,000 28,000,000 22,000,000 21,000,000 21,000,000 29,000,000 17,000,000 17,000,000 17,000,000 19,000,000 17,000,000 13,000,000 16,000,000 17,000,000 13,000,000 14,000,000 16,000,000 16,000,000 13,000,000 15,000,000 14,000,000 13,000,000 12,000,000 13,000,000 12,000,000 10,000,000 12,000,000 9,866,000 11,550,000 10,051,000 3,905,000 15,711,000 8,470,000        7,909,000  6,843,000 6,976,000 6,836,000   
          unrealized losses on other investments
        -43,000,000 -16,000,000 -17,000,000     7,000,000 -28,000,000                            4,000,000                     
          loss on remeasurement of tax receivable agreement liability
                                                                  
          customer bad debt expense
          1,000,000 1,000,000  7,000,000 2,000,000 5,000,000                                                   
          shares distributed to customers under ibkr promotions
        9,000,000 8,000,000 8,000,000 9,000,000 6,000,000 6,000,000 6,000,000 5,000,000 5,000,000 2,000,000 3,000,000 2,000,000 2,000,000 2,000,000 2,000,000 3,000,000 3,000,000 2,000,000 2,000,000 2,000,000                                       
          non-cash capital contribution
                                                                  
          change in operating assets and liabilities
                                                                  
          securities - segregated for regulatory purposes
        12,170,000,000 -1,719,000,000 -7,578,000,000 -1,548,000,000 3,257,000,000 -2,785,000,000 974,000,000 6,094,000,000 -4,051,000,000   -5,206,000,000 -480,000,000 -592,000,000 -6,359,000,000 -9,229,000,000 -721,000,000 1,235,000,000 9,434,000,000 2,752,000,000 1,495,000,000 4,134,000,000 -3,263,000,000 -12,363,000,000 3,422,000,000 -973,000,000 -1,741,000,000 -2,937,000,000 -2,763,000,000 536,000,000 -615,000,000 932,000,000                           
          securities borrowed
        -21,000,000 -1,423,000,000 -4,300,000,000 -476,000,000 2,144,000,000 -1,295,000,000 144,000,000 -527,000,000 -357,000,000 521,000,000 -693,000,000 -557,000,000 -841,000,000 -53,000,000 590,000,000 -533,000,000 -101,000,000 -181,000,000 2,078,000,000 -752,000,000 -961,000,000 841,000,000 -866,000,000 -54,000,000 94,000,000 18,000,000 168,000,000 -865,000,000 220,000,000 37,000,000 -620,000,000 -11,000,000 -300,000,000 28,000,000 -294,000,000 -1,025,000,000 251,000,000 -87,000,000                     
          securities purchased under agreements to resell
        1,407,000,000 1,005,000,000 -1,153,000,000 -1,801,000,000 1,601,000,000 -1,965,000,000 463,000,000 -1,170,000,000 -24,000,000 951,000,000 268,000,000 -670,000,000 -1,169,000,000 1,428,000,000 -20,000,000 -1,888,000,000 1,728,000,000 -1,942,000,000 -2,474,000,000 -900,000,000 609,000,000 -34,000,000 -457,000,000 2,201,000,000 -1,720,000,000 -89,000,000 278,000,000 -338,000,000 -911,000,000 202,000,000 144,000,000 1,358,000,000 -223,000,000   -35,000,000 692,000,000 -610,000,000                     
          financial instruments owned, at fair value
        -1,856,000,000 731,000,000 -448,000,000 -1,480,000,000 1,027,000,000 -1,184,000,000 -653,000,000 376,000,000 -163,000,000 -828,000,000 -113,000,000 71,000,000 612,000,000 -537,000,000 18,000,000 96,000,000 -12,000,000 66,000,000 -82,000,000 -4,000,000 -170,000,000 436,000,000 316,000,000 704,000,000 -40,000,000 -689,000,000 136,000,000 803,000,000 467,000,000 -501,000,000 326,000,000 742,000,000 -5,000,000 450,000,000 1,014,000,000 434,000,000 -609,000,000 -260,000,000                     
          receivables from customers
        -12,888,000,000 -12,242,000,000 -1,489,000,000 574,000,000 -8,427,000,000 -761,000,000 -3,859,000,000 -6,928,000,000 -875,000,000 -1,636,000,000 -2,473,000,000 -735,000,000 1,664,000,000 2,127,000,000 5,753,000,000 6,628,000,000 -4,432,000,000 -549,000,000 -7,310,000,000 -3,314,000,000 -8,989,000,000 -4,668,000,000 -5,589,000,000 11,205,000,000 -5,334,000,000 -64,000,000 -40,000,000 1,106,000,000 3,894,000,000 -1,942,000,000 494,000,000 354,000,000 -2,500,000,000 -1,561,000,000 -1,865,000,000 -3,089,000,000 82,000,000 1,828,000,000                     
          other receivables
        -430,000,000 -733,000,000 -1,590,000,000 -296,000,000 -9,000,000 -320,000,000 -192,000,000 -103,000,000 148,000,000 -375,000,000 259,000,000 1,760,000,000 -265,000,000 -1,456,000,000 217,000,000 1,592,000,000 253,000,000 -60,000,000 -607,000,000 -2,126,000,000 1,286,000,000 -1,168,000,000 172,000,000 -805,000,000 157,000,000 -134,000,000 12,000,000 -31,000,000 116,000,000 288,000,000 -150,000,000 -162,000,000 112,000,000 -109,000,000 -17,000,000 579,000,000 -632,000,000 -22,000,000                     
          other assets
        -53,000,000 -104,000,000 -149,000,000 -42,000,000 -68,000,000 -31,000,000 -69,000,000 -35,000,000 -44,000,000 -3,000,000 -31,000,000 -25,000,000 -26,000,000 26,000,000 55,000,000 -20,000,000 -179,000,000 -2,000,000 -11,000,000 -6,000,000 -7,000,000 -3,000,000 3,000,000 -4,000,000 -21,000,000 -3,000,000 -5,000,000 -140,000,000 4,000,000 21,000,000 -2,000,000 -12,000,000 -6,000,000                          
          securities loaned
        -2,280,000,000 5,802,000,000 4,335,000,000 646,000,000 -570,000,000 1,136,000,000 1,466,000,000 2,869,000,000 865,000,000 221,000,000 -458,000,000 1,779,000,000 -550,000,000 -1,206,000,000 -683,000,000 -390,000,000 1,234,000,000 -1,045,000,000 -287,000,000 2,029,000,000 4,100,000,000 -118,000,000 1,812,000,000 -366,000,000 455,000,000 -146,000,000 -149,000,000 213,000,000 203,000,000 -257,000,000 -80,000,000 -273,000,000 500,000,000 -335,000,000 -326,000,000 347,000,000 869,000,000 -493,000,000                     
          financial instruments sold, but not yet purchased, at fair value
        241,000,000 5,000,000 242,000,000 -41,000,000 -88,000,000 -92,000,000 237,000,000 43,000,000 -5,000,000 41,000,000 -33,000,000 44,000,000 -265,000,000 193,000,000 28,000,000 8,000,000 -51,000,000 42,000,000 38,000,000 -34,000,000 -47,000,000 73,000,000 -296,000,000 -520,000,000 620,000,000 102,000,000 -426,000,000 -234,000,000 285,000,000 388,000,000 -525,000,000 203,000,000 -392,000,000 -779,000,000 -417,000,000 -87,000,000 353,000,000                     
          payable to customers
        4,894,000,000 11,025,000,000 17,763,000,000 5,311,000,000 2,764,000,000 9,206,000,000 2,176,000,000 185,000,000 6,139,000,000 -1,126,000,000 1,102,000,000 1,702,000,000 601,000,000 1,829,000,000 -332,000,000 5,463,000,000 1,549,000,000 2,635,000,000 248,000,000 5,322,000,000 7,052,000,000 34,000,000 6,057,000,000 6,491,000,000 1,774,000,000 1,420,000,000 2,312,000,000 2,749,000,000 -1,830,000,000 1,584,000,000 816,000,000 -125,000,000 1,600,000,000 1,649,000,000 2,570,000,000 3,167,000,000 929,000,000 1,306,000,000                     
          other payables
        37,000,000 14,000,000 447,000,000 728,000,000 -831,000,000 787,000,000 73,000,000 15,000,000 -84,000,000 294,000,000 98,000,000 160,000,000 3,000,000 118,000,000 76,000,000 -316,000,000 -92,000,000 603,000,000 -106,000,000 163,000,000 -160,000,000 77,000,000 -41,000,000 47,000,000 -35,000,000 -126,000,000 51,000,000 171,000,000 109,000,000 93,000,000 -55,000,000 -107,000,000 -201,000,000 267,000,000 -36,000,000 -63,000,000 -87,000,000 -31,000,000                     
          net cash from operating activities
        1,609,000,000 4,479,000,000 7,139,000,000 2,584,000,000 1,838,000,000 3,582,000,000 1,621,000,000 1,683,000,000 2,369,000,000 979,000,000 2,119,000,000 -923,000,000 -30,000,000 2,414,000,000 -541,000,000 2,125,000,000 -375,000,000 1,213,000,000 1,324,000,000 3,734,000,000 4,596,000,000 -174,000,000 -1,557,000,000 5,203,000,000 488,000,000 133,000,000 1,442,000,000 603,000,000 -408,000,000 632,000,000 931,000,000 1,201,000,000 73,000,000 509,000,000 -209,000,000 102,000,000 -110,000,000 122,000,000 242,989,000             56,682,000  -550,611,000 622,721,000 728,076,000 187,870,000 216,644,000 
          capital expenditures
        -22,000,000 -15,000,000 -14,000,000 -16,000,000 -15,000,000 -11,000,000 -11,000,000 -12,000,000 -9,000,000 -8,000,000 -15,000,000 -17,000,000 -19,000,000 -18,000,000 -13,000,000 -19,000,000 -26,000,000 -13,000,000 -17,000,000 -21,000,000 -19,000,000 -9,000,000 -10,000,000 -12,000,000 -12,000,000 -17,000,000 -19,000,000 -26,000,000 -13,000,000 -8,000,000 -7,000,000 -8,000,000 -6,000,000 -7,000,000 -4,417,000             -4,991,000  
          free cash flows
        1,587,000,000 4,464,000,000 7,125,000,000 2,568,000,000 1,823,000,000 3,571,000,000 1,610,000,000 1,671,000,000 2,360,000,000 971,000,000 2,104,000,000 -940,000,000 -49,000,000 2,396,000,000 -554,000,000 2,106,000,000 -401,000,000 1,200,000,000 1,307,000,000 3,713,000,000 4,577,000,000 -183,000,000 -1,567,000,000 5,191,000,000 476,000,000 116,000,000 1,423,000,000 577,000,000 -421,000,000 624,000,000 924,000,000 1,193,000,000 67,000,000 509,000,000 -209,000,000 95,000,000 -110,000,000 122,000,000 238,572,000             51,691,000  -550,611,000 622,721,000 728,076,000 187,870,000 216,644,000 
          cash flows from investing activities
                                                                  
          purchases of other investments
        -38,000,000 -29,000,000 -28,000,000 -10,000,000 -12,000,000 -24,000,000 -3,000,000 -1,000,000 -16,000,000    -2,000,000   -103,000,000 -9,000,000 -3,000,000 -1,000,000 -3,000,000   -3,000,000 -16,000,000 -1,000,000         -346,855,000                    
          distributions received and proceeds from sales of other investments
                23,000,000 -2,000,000 4,000,000 5,000,000 1,000,000 3,000,000 1,000,000 4,000,000 1,000,000 2,000,000         2,000,000 36,000,000                     
          purchase of property, equipment and intangible assets
        -22,000,000 -15,000,000 -14,000,000 -16,000,000 -15,000,000 -11,000,000 -11,000,000 -12,000,000 -9,000,000 -8,000,000 -15,000,000 -17,000,000 -19,000,000 -18,000,000 -13,000,000 -19,000,000 -26,000,000 -13,000,000 -17,000,000 -21,000,000 -19,000,000 -9,000,000 -10,000,000 -12,000,000 -12,000,000 -17,000,000 -19,000,000 -26,000,000 -13,000,000 -8,000,000 -7,000,000 -8,000,000 -6,000,000                          
          net cash from investing activities
        -59,000,000 -44,000,000 -42,000,000 -26,000,000 18,000,000 -35,000,000 -14,000,000 -13,000,000 -25,000,000 -18,000,000 -15,000,000 6,000,000 -19,000,000 -22,000,000 -12,000,000 -14,000,000 -129,000,000 -21,000,000 -17,000,000 -21,000,000 -22,000,000 -5,000,000 -12,000,000 -11,000,000 -12,000,000 -15,000,000 -20,000,000 -42,000,000 -14,000,000 -7,000,000 -28,000,000 -8,000,000 -4,000,000   -7,000,000 -5,000,000 23,000,000 -151,722,000 128,031,000 87,486,000 -21,413,000 25,668,000 7,104,000        -11,426,000       
          cash flows from financing activities
                                                                  
          short-term borrowings
        9,000,000 2,000,000 -4,000,000 -2,000,000 -19,000,000 22,000,000 -3,000,000 -3,000,000 6,000,000 -6,000,000 7,000,000 -8,000,000 -17,000,000 18,000,000 6,000,000 -16,000,000 -2,000,000 -145,000,000 161,000,000 -10,000,000 -606,000,000 489,000,000 125,000,000 -2,000,000 1,000,000   -11,000,000 -165,000,000 174,000,000 4,000,000 29,000,000 -29,000,000 -36,000,000 16,000,000 4,000,000 4,000,000                     
          dividends paid to stockholders
        -36,000,000 -36,000,000 -35,000,000 -27,000,000 -27,000,000 -27,000,000 -27,000,000 -11,000,000 -11,000,000 -10,000,000 -11,000,000 -10,000,000 -10,000,000 -10,000,000 -11,000,000 -9,000,000 -10,000,000 -10,000,000 -9,000,000 -9,000,000 -9,000,000 -8,000,000 -7,000,000 -8,000,000 -8,000,000 -8,000,000   -7,000,000 -8,000,000 -7,000,000 -7,000,000 -7,000,000   -7,000,000   -5,710,000                    
          distributions to noncontrolling interests
        -156,000,000 -196,000,000 -288,000,000 -196,000,000 -139,000,000 -172,000,000 -281,000,000 -123,000,000 -103,000,000 -111,000,000 -223,000,000 -119,000,000                   -189,000,000 -61,000,000 -140,000,000 -48,000,000 -34,000,000 -24,000,000 -125,000,000 -35,000,000 -40,657,000                    
          repurchases of common stock for employee tax withholdings
                                                            
          proceeds from the sale of treasury stock
          -1,000,000                                        
          payments made under the tax receivable agreement
                                                   
          net cash from financing activities
        -183,000,000 -230,000,000 -331,000,000 -225,000,000 -186,000,000 -177,000,000 -333,000,000 -137,000,000 -108,000,000 -127,000,000 -252,000,000 -137,000,000 -122,000,000 -70,000,000 -173,000,000 -105,000,000 -174,000,000 -506,000,000 158,000,000 -1,000,000 -555,000,000 416,000,000 -27,000,000 -63,000,000 -61,000,000 -242,000,000 -46,000,000 -70,000,000 -58,000,000 -222,000,000 -55,000,000 -64,000,000 -133,000,000 -84,000,000 -77,000,000 10,000,000 -170,000,000 -38,000,000 -2,198,000             -278,914,000       
          effect of exchange rate changes on cash, cash equivalents and restricted cash
        16,000,000 -38,000,000 306,000,000 107,000,000 -248,000,000 153,000,000 -10,000,000 -102,000,000 148,000,000 -76,000,000 31,000,000 19,000,000 158,000,000 -123,000,000 -105,000,000 -41,000,000 -2,000,000                                          
          net increase in cash, cash equivalents and restricted cash
        1,383,000,000 4,167,000,000 7,072,000,000 2,440,000,000 1,422,000,000 3,523,000,000 1,264,000,000 1,431,000,000 2,384,000,000 758,000,000 1,883,000,000 -1,035,000,000 -13,000,000 2,199,000,000 -831,000,000 1,965,000,000 -680,000,000                                          
          cash, cash equivalents and restricted cash at beginning of period
        40,233,000,000 32,593,000,000 28,603,000,000 25,283,000,000                                          
          cash, cash equivalents and restricted cash at end of period
        1,383,000,000 4,167,000,000 7,072,000,000 42,673,000,000 1,422,000,000 3,523,000,000 1,264,000,000 34,024,000,000 2,384,000,000 758,000,000 1,883,000,000 27,568,000,000 -13,000,000 2,199,000,000 -831,000,000 27,248,000,000 -680,000,000                                          
          cash, cash equivalents and restricted cash
                                                                  
          cash and cash equivalents
        -165,000,000 440,000,000 1,188,000,000 3,500,000,000 38,000,000 -323,000,000 -145,000,000 4,063,000,000 -71,000,000 143,000,000 467,000,000 3,214,000,000 252,000,000 303,000,000 214,000,000 2,667,000,000 -443,000,000 -380,000,000 591,000,000 2,627,000,000 1,000,000,000 177,000,000 14,000,000 3,101,000,000 -153,000,000 -127,000,000 616,000,000 2,546,000,000 -465,000,000 562,000,000 599,000,000 1,901,000,000                           
          cash segregated for regulatory purposes
        1,548,000,000 3,727,000,000 5,884,000,000 39,173,000,000 1,384,000,000 3,846,000,000 1,409,000,000 29,961,000,000 2,455,000,000 615,000,000 1,416,000,000 24,354,000,000 -265,000,000 1,896,000,000 -1,045,000,000 24,581,000,000 -237,000,000 1,026,000,000 895,000,000 21,204,000,000 3,114,000,000 105,000,000 -1,588,000,000 14,272,000,000 606,000,000 -25,000,000 776,000,000 8,043,000,000 -20,000,000 -163,000,000 171,000,000 7,515,000,000                           
          supplemental disclosures of cash flow information
                                                                  
          cash paid for interest
        1,101,000,000 1,101,000,000 1,044,000,000 963,000,000 1,071,000,000 1,079,000,000 1,034,000,000 1,006,000,000 942,000,000 891,000,000 818,000,000 666,000,000 452,000,000 248,000,000 83,000,000 50,000,000 57,000,000 50,000,000 36,000,000 79,000,000 52,000,000 45,000,000 58,000,000 129,000,000 139,000,000 188,000,000 169,000,000 158,000,000 136,000,000 113,000,000 106,000,000 89,000,000 59,000,000 47,000,000 30,000,000 21,000,000 17,000,000 18,000,000 22,761,000 11,102,000 13,788,000 11,845,000 14,356,000 14,460,000 15,002,000 17,581,000 18,585,000 24,595,000 15,690,000 17,619,000 16,571,000   72,347,000 105,399,000 124,432,000   
          cash paid for taxes
        65,000,000 58,000,000 153,000,000 40,000,000 66,000,000 61,000,000 120,000,000 32,000,000 66,000,000 37,000,000 75,000,000 50,000,000 59,000,000 24,000,000 49,000,000 16,000,000 27,000,000 44,000,000 19,000,000 24,000,000 21,000,000 22,000,000 6,000,000 15,000,000 10,000,000 14,000,000 15,000,000 12,000,000 15,000,000 9,000,000 13,000,000 13,000,000 14,000,000 10,000,000 7,000,000 11,000,000 1,000,000 5,000,000 5,677,000 -5,707,000 26,533,000 8,270,000 16,345,000 20,628,000 6,890,000 12,223,000 6,239,000 14,398,000 3,598,000 52,383,000 8,276,000   27,886,000 36,751,000 13,655,000   
          cash paid for amounts included in lease liabilities
        11,000,000 10,000,000 11,000,000 10,000,000 8,000,000 11,000,000 8,000,000 12,000,000 9,000,000 9,000,000 8,000,000 9,000,000 9,000,000 7,000,000 8,000,000 8,000,000 6,000,000 6,000,000 6,000,000 6,000,000 5,000,000 6,000,000 5,000,000 5,000,000 5,000,000 5,000,000 5,000,000 5,000,000                               
          non-cash financing activities
                                                                  
          issuance of common stock in exchange of member interests in ibg llc
                       557,000,000                                    
          redemption of member interests from ibg holdings llc
                       -557,000,000                                    
          adjustments to additional paid-in capital for changes in proportionate ownership in ibg llc
        2,000,000 45,000,000 1,000,000 1,000,000 2,000,000 37,000,000 1,000,000 1,000,000 30,000,000 2,000,000 1,000,000 25,000,000 1,000,000 1,000,000 23,000,000 1,000,000           1,089,000 26,739,000 393,000 637,000                 
          adjustments to noncontrolling interests for changes in proportionate ownership in ibg llc
        -2,000,000 -45,000,000 -1,000,000 -1,000,000 -2,000,000 -37,000,000 -1,000,000 -1,000,000 -30,000,000 -2,000,000 -1,000,000 -25,000,000 -1,000,000 -1,000,000 -23,000,000 -1,000,000           -1,089,000     125,000               
          non-cash distributions to noncontrolling interests
                                                                 
          advertising expenses paid by noncontrolling interests
                                                                  
          securities sold under agreement to repurchase
                       300,000,000     -1,909,000,000     -1,316,000,000                           
          bad debt expense
                5,000,000 -1,000,000 3,000,000 1,000,000 1,000,000 1,000,000 1,000,000 2,000,000 3,000,000 3,000,000 7,000,000 -1,000,000 -2,000,000 4,000,000 43,000,000 2,000,000 -1,000,000 3,000,000 1,000,000 1,000,000 3,000,000   1,491,000 270,000 743,000                  
          impairment loss
                           1,000,000      1,000,000                          
          unrealized (gains) losses on other investments
               8,000,000    -3,000,000                                               
          gain on remeasurement of tax receivable agreement liability
                                                                  
          issuances of senior notes
                        191,000,000 635,000,000 602,000,000                                  127,632,000     
          redemptions of senior notes
                        -443,000,000 -583,000,000 -498,000,000                                -106,668,000       
          securities – segregated for regulatory purposes
                                                                  
          unrealized loss on other investments
                    -5,000,000                                              
          distributions from ibg llc to noncontrolling interests
                    -95,000,000 -78,000,000 -151,000,000 -80,000,000 -144,000,000 -99,000,000 -45,000,000 -86,000,000 -36,000,000 -65,000,000 -129,000,000 -53,000,000 -54,000,000 -205,000,000 -38,000,000 -60,000,000 -40,000,000                              
          repurchases of common stock for employee tax withholdings under stock incentive plans
                                                      
          unrealized gain on other investments
                                                                  
          effect of exchange rate changes on cash, cash equivalents, and restricted cash
                          21,000,000 -76,000,000 95,000,000 45,000,000 22,000,000 -38,000,000 38,000,000 -28,000,000   -5,000,000 -4,000,000 -78,000,000 8,000,000                           
          net increase in cash, cash equivalents, and restricted cash
                          1,486,000,000 3,636,000,000 4,114,000,000 282,000,000 -1,574,000,000 5,091,000,000 453,000,000 -152,000,000 1,392,000,000 489,000,000 -485,000,000 399,000,000 770,000,000 1,137,000,000                           
          cash, cash equivalents, and restricted cash at beginning of period
                          20,195,000,000 12,282,000,000 10,100,000,000 8,279,000,000                           
          cash, cash equivalents, and restricted cash at end of period
                          1,486,000,000 23,831,000,000 4,114,000,000 282,000,000 -1,574,000,000 17,373,000,000 453,000,000 -152,000,000 1,392,000,000 10,589,000,000 -485,000,000 399,000,000 770,000,000 9,416,000,000                           
          cash, cash equivalents, and restricted cash
                                                                  
          unrealized (gain) loss on other investments
                           -108,000,000 -42,000,000 -10,000,000 -17,000,000 19,000,000 14,000,000 10,000,000 74,000,000 -106,000,000    -2,000,000                           
          (gain) loss on remeasurement of tax receivable agreement liability
                                                                  
          securities sold under agreements to repurchase
                                                                  
          non-cash financing activities:
                                                                  
          cash and securities - segregated for regulatory purposes
                                        621,000,000 523,000,000 -693,000,000 7,000,000 -1,749,000,000 -2,199,000,000                     
          effect of exchange rate changes on cash and cash equivalents
                                        5,000,000 38,000,000 23,000,000 2,000,000 -19,000,000 39,000,000 -77,940,000 11,030,000 3,488,000      23,428,000    3,295,000 -6,347,000   -9,852,000 31,459,000   
          net increase in cash and cash equivalents
                                        -59,000,000 459,000,000 -269,000,000   146,000,000          132,800,000 180,673,000 260,823,000 43,661,000 -240,005,000   -264,123,000 173,611,000   
          cash and cash equivalents at beginning of period
                                        1,925,000,000 1,601,000,000 1,213,241,000 1,614,592,000 1,695,495,000 806,560,000 943,497,000  521,776,000 669,271,000 
          cash and cash equivalents at end of period
                                        -59,000,000 459,000,000 1,656,000,000 107,000,000 -304,000,000 1,747,000,000 11,129,000 8,191,000 991,439,000 133,671,000 229,981,000 1,184,868,000 -344,000,000 452,106,000 1,551,399,000 132,800,000 180,673,000 260,823,000 850,221,000 703,492,000  39,784,000 -264,123,000 695,387,000 260,810,000 607,776,000 
          non-cash distribution to noncontrolling interests
                                                                  
          purchase of property and equipment
                                           -7,000,000   -4,417,000             -4,991,000       
          excess tax benefit on stock incentive plans
                                                                  
          net decrease in cash and cash equivalents
                                              11,129,000                    
          cash flows from operating activities:
                                                                  
          adjustments to reconcile net income to net cash provided by
                                                                  
          losses (gains) on other investments
                                              5,399,000                    
          change in operating assets and liabilities:
                                                                  
          increase in cash and securities - segregated for regulatory purposes
                                              225,733,000             -456,225,000       
          increase in securities borrowed
                                              544,177,000                    
          decrease (increase) in securities purchased under agreements to resell
                                              785,000                    
          decrease in financial instruments owned, at fair value
                                                                  
          increase in receivables from customers
                                              -1,935,988,000             -258,417,000       
          increase in other receivables
                                                                  
          decrease in other assets
                                                           -7,219,000  -10,660,000 -7,597,000 27,562,000   
          decrease in financial instruments sold, but not yet purchased, at fair value
                                                                  
          increase in securities loaned
                                              183,991,000 1,182,000 367,569,000 -273,714,000 269,885,000 358,227,000        74,884,000       
          increase in payable to customers
                                              1,554,977,000 1,435,530,000 656,152,000 1,854,447,000 -106,002,000 1,638,930,000        708,102,000     1,149,004,000 677,017,000 
          decrease in other payables
                                                           -295,037,000       
          cash flows from investing activities:
                                                                  
          proceeds from sales of other investments
                                              199,550,000 145,499,000 152,561,000 45,711,000 89,300,000 67,234,000               
          distributions received from and redemptions of equity investments
                                                                
          cash flows from financing activities:
                                                                  
          increase in short-term borrowings
                                                8,968,000           51,809,000       
          supplemental disclosures of cash flow information:
                                                                  
          adjustments to reconcile net income to net cash from operating activities:
                                                                  
          decrease in financial instruments owned
                                               190,108,000 1,020,583,000 -11,066,000                 
          decrease (increase) in other receivables
                                                                  
          increase in other assets
                                                                  
          decrease in financial instruments sold but not yet purchased
                                                                  
          increase in other payables
                                                             1,619,818,000   493,791,000 639,544,000 
          decrease in short-term borrowings
                                                                  
          losses on other investments
                                                   133,000               
          decrease in cash and securities - segregated for regulatory purposes
                                                                  
          decrease in securities purchased under agreements to resell
                                                103,568,000           311,844,000   -52,804,000 35,001,000 97,740,000 
          decrease in other receivables
                                                   28,323,000        677,100,000  -10,655,000 -641,233,000 916,828,000   
          increase in financial instruments sold but not yet purchased
                                                16,879,000   76,519,000               
          dividends paid to shareholders
                                                                  
          dividends paid to noncontrolling interests
                                                                  
          translation losses
                                                 14,496,000 4,529,000 814,000        -34,745,000    47,770,000   
          bad debt expense and other
                                                 1,129,000 889,000 454,000        725,000       
          changes in redemption value of redeemable noncontrolling interests
                                                                  
          changes to total equity (deficit) for the change in the redemption value of redeemable noncontrolling interests
                                                                  
          see accompanying notes to the unaudited condensed consolidated financial statements.
                                                                  
          (gains) losses on other investments
                                                                  
          increase in securities purchased under agreements to resell
                                                                  
          adjustments to reconcile net income to net cash used in
                                                                  
          operating activities:
                                                                  
          increase in financial instruments owned
                                                                  
          distribution received from equity investment
                                                   11,054,000        1,130,000       
          adjustments to additional paid in capital for changes in proportionate ownership in ibg llc
                                                                  
          adjustments to non-controlling interests for changes in proportionate ownership in ibg llc
                                                      38,000 6,102,000           
          adjustments to reconcile net income to net cash from
                                                                  
          adjustments to reconcile net income to net cash from operating
                                                                  
          activities:
                                                                  
          translation losses -
                                                                  
          losses on non-trading investments
                                                           636,000  11,573,000 1,921,000 642,000   
          decrease in securities borrowed
                                                           2,370,088,000  466,994,000 1,371,198,000 322,405,000   
          decrease in trading assets
                                                           308,237,000  -965,823,000 2,436,983,000 1,672,840,000   
          decrease in trading liabilities
                                                           -3,522,643,000       
          sale of investments
                                                           -7,565,000  310,000 300,000   
          dividends paid to non-controlling interests
                                                                  
          redemption of former member interest
                                                                  
          reduction in non-controlling interest in subsidiary
                                                           22,000       
          issuance of senior notes
                                                           109,704,000    124,699,000 110,911,000 112,816,000 
          borrowings under senior secured credit facility
                                                             250,000,000 300,000,000   
          repayments of senior secured credit facility
                                                           -300,000,000       
          dividends paid to ibg holdings llc
                                                           -33,781,000       
          interest paid
                                                           20,860,000     140,926,000 134,178,000 
          taxes paid
                                                           68,664,000     -3,994,000 5,279,000 
          cash from operating activities
                                                                  
          cash from investing activities
                                                                  
          cash from financing activities
                                                                  
          increase in cash and cash equivalents
                                                                  
          translation gains
                                                                  
          minority interest
                                                             287,859,000 212,420,000 313,349,000   
          other
                                                             2,548,000 441,000 1,048,000 468,000 29,000 
          increase in trading liabilities
                                                                  
          decrease in securities loaned
                                                                  
          puchase of ibg llc historical member interests
                                                                  
          puchase of trading rights
                                                                  
          net proceeds from issuance of class a and class b common stock
                                                                  
          class a common stock acquired from employees
                                                                  
          dividends paid by ibg llc prior to ipo
                                                                  
          dividends paid to ibg holdings llc subsequent to ipo
                                                                  
          cash capital contribution to the
                                                                  
          ipo related transactions
                                                                  
          deferred tax asset arising from ipo
                                                                  
          payable to affiliate
                                                                  
          net tax benefit retained, recorded as additional paid in capital
                                                                  
          non-cash investing activities:
                                                                  
          refinancing of bridge loan
                                                                  
          dividends received from ibg llc
                                                                  
          net used in financing activities
                                                                  
          increase in trading assets
                                                                  
          purchase of ibg llc historical member interests
                                                                  
          distributions received from investment in exchange
                                                                  
          sale of trading rights
                                                                  
          dividends paid by ibg llc prior to may 4, 2007
                                                                  
          dividends paid to ibg holdings llc after may 3, 2007
                                                                  
          members’ contributions to ibg llc
                                                                  
          ibg llc member interests redeemed
                                                                  
          adjustments to reconcile net income to net cash provided by in operating activities:
                                                                  
          purchase of investments
                                                                  
          redemptions from senior notes
                                                                  
          ibg llc member interests redeeemed
                                                                  
          translation (gains) losses
                                                                  
          loss (income) from equity investments in exchanges
                                                                 591,000 
          increase in cash and securities — segregated for regulatory
                                                                  
          decrease (increase) in trading assets
                                                                 1,162,118,000 
          increase in securities sold under agreements to repurchase
                                                                 17,093,000 
          members’ contributions
                                                                  
          members’ interests redeeemed
                                                                  
          dividends paid
                                                                  
          refinancing of bridge loan receivable
                                                                 10,018,000