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Financial Assets and Liabilities - Not Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
Dec. 31, 2020
Dec. 31, 2019
Assets    
Cash restricted or segregated under regulations and other $ 117,446 $ 41,116
Receivables from broker-dealers and clearing organizations 1,684,006 1,318,584
Receivables from customers 214,478 103,531
Other assets 317,747 252,640
Liabilities    
Interest rate swap 876,446 826,750
Payables to customers 118,826 89,719
Quoted Prices in Active Markets for Identical Assets (Level 1)     
Assets    
Cash and cash equivalents 889,559 732,164
Cash restricted or segregated under regulations and other 117,446 41,116
Securities borrowed 0 0
Securities purchased under agreements to resell 0 0
Receivables from broker-dealers and clearing organizations 173,578 40,842
Receivables from customers 0  
Other assets 0  
Total Assets 1,180,583 814,122
Liabilities    
Short-term borrowings 0 0
Long-term borrowings 0 0
Securities loaned 0 0
Securities sold under agreements to repurchase 0 0
Interest rate swap 3,517 49,514
Payables to customers 0  
Other Liabilities 0  
Total Liabilities 3,517 49,514
Significant Other Observable Inputs (Level 2)     
Assets    
Cash and cash equivalents 0 0
Cash restricted or segregated under regulations and other 0 0
Securities borrowed 1,425,016 1,928,763
Securities purchased under agreements to resell 22,866 143,032
Receivables from broker-dealers and clearing organizations 1,510,428 1,277,742
Receivables from customers 214,478  
Other assets 21,735  
Total Assets 3,194,523 3,349,537
Liabilities    
Short-term borrowings 65,073 75,586
Long-term borrowings 1,672,456 1,966,850
Securities loaned 948,256 1,600,099
Securities sold under agreements to repurchase 461,235 340,742
Interest rate swap 872,929 777,236
Payables to customers 118,826  
Other Liabilities 9,208  
Total Liabilities 4,147,983 4,760,513
Significant Unobservable Inputs (Level 3)     
Assets    
Cash and cash equivalents 0 0
Cash restricted or segregated under regulations and other 0 0
Securities borrowed 0 0
Securities purchased under agreements to resell 0 0
Receivables from broker-dealers and clearing organizations 0 0
Receivables from customers 0  
Other assets 0  
Total Assets 0 0
Liabilities    
Short-term borrowings 0 0
Long-term borrowings 0 0
Securities loaned 0 0
Securities sold under agreements to repurchase 0 0
Interest rate swap 0 0
Payables to customers 0  
Other Liabilities 0  
Total Liabilities 0 0
Reported Value Measurement    
Assets    
Cash and cash equivalents 889,559 732,164
Cash restricted or segregated under regulations and other 117,446 41,116
Securities borrowed 1,425,016 1,928,763
Securities purchased under agreements to resell 22,866 143,032
Receivables from broker-dealers and clearing organizations 1,684,006 1,318,584
Receivables from customers 214,478  
Other assets 21,735  
Total Assets 4,375,106 4,163,659
Liabilities    
Short-term borrowings 64,686 73,486
Long-term borrowings 1,639,280 1,917,866
Securities loaned 948,256 1,600,099
Securities sold under agreements to repurchase 461,235 340,742
Interest rate swap 876,446 826,750
Payables to customers 118,826  
Other Liabilities 9,208  
Total Liabilities 4,117,937 4,758,943
Estimate of Fair Value Measurement    
Assets    
Cash and cash equivalents 889,559 732,164
Cash restricted or segregated under regulations and other 117,446 41,116
Securities borrowed 1,425,016 1,928,763
Securities purchased under agreements to resell 22,866 143,032
Receivables from broker-dealers and clearing organizations 1,684,006 1,318,584
Receivables from customers 214,478  
Other assets 21,735  
Total Assets 4,375,106 4,163,659
Liabilities    
Short-term borrowings 65,073 75,586
Long-term borrowings 1,672,456 1,966,850
Securities loaned 948,256 1,600,099
Securities sold under agreements to repurchase 461,235 340,742
Interest rate swap 876,446 826,750
Payables to customers 118,826  
Other Liabilities 9,208  
Total Liabilities $ 4,151,500 $ 4,810,027