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Fair value measurements - Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
Mar. 31, 2023
Dec. 31, 2022
ASSETS    
Deposits with clearing organizations $ 25,211 $ 24,937
Securities owned:    
Securities owned, at fair value 762,154 498,594
Securities owned and sold, fair value 762,154 498,594
Investments 15,036 7,068
Derivative contracts    
Derivative contracts, total 21  
Total 802,422 532,361
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 110,657 52,768
Derivative contracts:    
Derivative contracts 70 1,805
Total 110,727 54,573
Corporate equities    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 14,328 11,378
Money markets    
Securities owned:    
Securities owned, at fair value 1,519 0
Auction rate securities    
Securities owned:    
Securities owned, at fair value 31,776 31,776
TBAs    
Derivative contracts    
Derivative contracts, total 21 1,762
Derivative contracts:    
Derivative contracts 19 1,761
Futures    
Derivative contracts:    
Derivative contracts 51 44
U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 618,227 362,815
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 82,387 25,006
U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 7,994 6,012
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 2 3
Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 4,591 9,844
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 208 2,905
Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 2,741 1,882
Municipal obligations    
Securities owned:    
Securities owned, at fair value 38,183 30,126
Convertible bonds    
Securities owned:    
Securities owned, at fair value 29,812 21,800
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 13,732 4,428
Corporate equities | Corporate equities    
Securities owned:    
Securities owned, at fair value 27,311 24,837
Sovereign obligations    
Securities owned:    
Securities owned, at fair value   9,502
Level 1    
ASSETS    
Deposits with clearing organizations 25,211 24,937
Securities owned:    
Securities owned, at fair value 645,538 387,652
Investments 5,242  
Derivative contracts    
Derivative contracts, total 0  
Total 675,991 412,589
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 96,715 36,384
Derivative contracts:    
Derivative contracts 51 44
Total 96,766 36,428
Level 1 | Money markets    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | Futures    
Derivative contracts:    
Derivative contracts 51 44
Level 1 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 618,227 362,815
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 82,387 25,006
Level 1 | Corporate equities    
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 14,328 11,378
Level 1 | Corporate equities | Corporate equities    
Securities owned:    
Securities owned, at fair value 27,311 24,837
Level 2    
Securities owned:    
Securities owned, at fair value 84,840 79,166
Investments 9,794 7,068
Derivative contracts    
Derivative contracts, total 21  
Total 94,655 87,996
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 13,942 16,384
Derivative contracts:    
Derivative contracts 19 1,761
Total 13,961 18,145
Level 2 | Money markets    
Securities owned:    
Securities owned, at fair value 1,519  
Level 2 | TBAs    
Derivative contracts    
Derivative contracts, total 21 1,762
Derivative contracts:    
Derivative contracts 19 1,761
Level 2 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 7,994 6,012
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 2 3
Level 2 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 4,591 9,844
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 208 2,905
Level 2 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 2,741 1,882
Level 2 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 38,183 30,126
Level 2 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 29,812 21,800
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 13,732 4,428
Level 2 | Sovereign obligations    
Securities owned:    
Securities owned, at fair value   9,502
Level 3    
Securities owned:    
Securities owned, at fair value 31,776 31,776
Derivative contracts    
Derivative contracts, total 0  
Total 31,776 31,776
Securities sold, but not yet purchased    
Securities sold but not yet purchased, at fair value 0  
Derivative contracts:    
Derivative contracts 0 0
Total 0 0
Level 3 | Auction rate securities    
Securities owned:    
Securities owned, at fair value $ 31,776 $ 31,776