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Collateralized Transactions - Additional Information (Narrative) (Details)
12 Months Ended
Dec. 31, 2020
USD ($)
dealer
Dec. 31, 2019
USD ($)
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Bank call loans $ 82,000,000 $ 0
Outstanding letters of credit 0  
Gross Amounts of Recognized Liabilities   343,192,000
Gross Amounts of Recognized Liabilities [1]   234,343,000
Amounts pledged $ 440,531,000 357,120,000
Number of broker-dealers | dealer 3  
Receivable from brokers and clearing organizations $ 69,700,000  
Firm's Securities Fair Value, Collateral for Bank Loans 63,700,000  
Customer Securities Fair Value, Collateral for Bank Loans 28,400,000  
customer securities under customer margin loans that are available to be pledged 1,600,000,000  
Customer Securities under Customer Margin Loans that are Available to be Pledged, Re-pledged Amount 208,000,000.0  
Customer securities directly with the Options Clearing Corporation to secure obligations and margin requirements under option contracts written by customers 377,900,000  
Fair Value of Securities Received as Collateral under Securities Borrowed Transactions 108,000,000.0  
Reverse Repurchase Agreements    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Securities received as collateral under securities borrowed transaction with market value   55,800,000
Securities Borrowed Transactions    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Customer securities under customer margin loans agreement available to be repledged   19,300,000
Securities received as collateral under securities borrowed transaction with market value   96,300,000
Repurchase Agreements [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Customer securities under customer margin loans agreement available to be repledged   $ 55,800,000
Maturity Overnight and on Demand [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Securities Loaned and Securities Sold under Agreement to Repurchase, Gross Including Not Subject to Master Netting Arrangement 680,286,000  
U.S. treasury, agency and sovereign obligations | Maturity Overnight and on Demand [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Gross Amounts of Recognized Liabilities 430,787,000  
Equity Securities [Member] | Maturity Overnight and on Demand [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Gross Amounts of Recognized Liabilities $ 249,499,000  
Minimum [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Number of business days for related transactions 1 day  
Maximum [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Number of business days for related transactions 2 days  
[1] (2) Included in payable to brokers, dealers and clearing organizations on the consolidated balance sheet.