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Fair Value of Financial Instruments - Information about Significant Unobservable Inputs used in Fair Value Measurement (Details) - Level III
12 Months Ended
Dec. 31, 2017
Equity securities in private companies | Investments at fair value | Minimum | Market approach  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Revenue multiple 1.9
EBITDA multiple 10.6
Equity securities in private companies | Investments at fair value | Maximum | Market approach  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Revenue multiple 6.2
EBITDA multiple 15
Equity securities in private companies | Investments at fair value | Weighted Average | Market approach  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Revenue multiple 4.9
EBITDA multiple 12.8
Interest rate locks | Financial instruments and other inventory positions sold, but not yet purchased | Minimum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Premium over the MMD curve 1
Interest rate locks | Financial instruments and other inventory positions sold, but not yet purchased | Maximum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Premium over the MMD curve 15.92
Interest rate locks | Financial instruments and other inventory positions sold, but not yet purchased | Weighted Average | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Premium over the MMD curve 7.91
Tax-exempt securities | Financial instruments and other inventory positions owned | Minimum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Expected recovery rate (% of par) 5.00%
Tax-exempt securities | Financial instruments and other inventory positions owned | Maximum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Expected recovery rate (% of par) 60.00%
Tax-exempt securities | Financial instruments and other inventory positions owned | Weighted Average | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Expected recovery rate (% of par) 19.40%
Short-term securities | Financial instruments and other inventory positions owned | Minimum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Expected recovery rate (% of par) 66.00%
Short-term securities | Financial instruments and other inventory positions owned | Maximum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Expected recovery rate (% of par) 94.00%
Short-term securities | Financial instruments and other inventory positions owned | Weighted Average | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Expected recovery rate (% of par) 91.00%
Collateralized by residential mortgages | Financial instruments and other inventory positions owned | Minimum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Credit default rate 1.00%
Prepayment rates 20.00%
Loss severity 25.00%
Valuation yields 5.00%
Collateralized by residential mortgages | Financial instruments and other inventory positions owned | Maximum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Credit default rate 2.00%
Prepayment rates 0.00%
Loss severity 50.00%
Valuation yields 0.00%
Collateralized by residential mortgages | Financial instruments and other inventory positions owned | Weighted Average | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Credit default rate 1.50%
Prepayment rates 20.00%
Loss severity 26.90%
Valuation yields 5.00%
Interest rate locks | Financial instruments and other inventory positions owned | Minimum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Premium over the MMD curve 7.42
Interest rate locks | Financial instruments and other inventory positions owned | Maximum | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Premium over the MMD curve 15.26
Interest rate locks | Financial instruments and other inventory positions owned | Weighted Average | Discounted cash flow  
Fair Value Inputs Assets and Liabilities Quantitative Information [Line Items]  
Premium over the MMD curve 11.08