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Fair value measurements - Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($)
$ in Thousands
Mar. 31, 2024
Dec. 31, 2023
ASSETS    
Deposits with clearing organizations $ 35,225 $ 34,789
Securities owned:    
Securities owned, at fair value 1,044,089 795,312
Investments 18,160 18,785
Loans 2,485  
Securities purchased under agreements to resell 4,090 5,842
Derivative contracts:    
Derivative contracts, total 185 13
Total 1,100,144 854,741
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 520,932 31,676
Derivative contracts:    
Derivative contracts 1,891 737
Total 522,823 32,413
U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 927,933 695,346
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 488,901 14,603
U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 8,419 2
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 1  
Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 11,707 5,769
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 10,577 1,508
Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 2,981 6,627
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value   2
Municipal obligations    
Securities owned:    
Securities owned, at fair value 47,374 35,333
Convertible bonds    
Securities owned:    
Securities owned, at fair value 14,393 16,735
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 11,687 2,136
Corporate equities    
Securities owned:    
Securities owned, at fair value 28,319 27,170
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 9,766 13,427
Money markets    
Securities owned:    
Securities owned, at fair value 250 5,617
Auction rate securities    
Securities owned:    
Securities owned, at fair value 2,713 2,713
Futures    
Derivative contracts:    
Derivative contracts, total   2
Derivative contracts:    
Derivative contracts 1,714 735
TBAs    
Derivative contracts:    
Derivative contracts, total 185 11
Derivative contracts:    
Derivative contracts 177 2
Level 1    
ASSETS    
Deposits with clearing organizations 35,225 34,789
Securities owned:    
Securities owned, at fair value 956,252 727,916
Investments 1,715 1,872
Loans 0  
Securities purchased under agreements to resell   0
Derivative contracts:    
Derivative contracts, total 0 2
Total 993,192 764,579
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 498,667 28,030
Derivative contracts:    
Derivative contracts 1,714 735
Total 500,381 28,765
Level 1 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 927,933 695,346
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 488,901 14,603
Level 1 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0  
Level 1 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 1 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value   0
Level 1 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 1 | Corporate equities    
Securities owned:    
Securities owned, at fair value 28,319 27,170
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 9,766 13,427
Level 1 | Money markets    
Securities owned:    
Securities owned, at fair value 0 5,400
Level 1 | Auction rate securities    
Securities owned:    
Securities owned, at fair value 0 0
Level 1 | Futures    
Derivative contracts:    
Derivative contracts, total   2
Derivative contracts:    
Derivative contracts 1,714 735
Level 1 | TBAs    
Derivative contracts:    
Derivative contracts, total 0 0
Derivative contracts:    
Derivative contracts 0 0
Level 2    
ASSETS    
Deposits with clearing organizations 0 0
Securities owned:    
Securities owned, at fair value 85,124 64,683
Investments 16,445 16,913
Loans 2,485  
Securities purchased under agreements to resell   5,842
Derivative contracts:    
Derivative contracts, total 185 11
Total 104,239 87,449
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 22,265 3,646
Derivative contracts:    
Derivative contracts 177 2
Total 22,442 3,648
Level 2 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 2 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 8,419 2
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 1  
Level 2 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 11,707 5,769
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 10,577 1,508
Level 2 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 2,981 6,627
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value   2
Level 2 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 47,374 35,333
Level 2 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 14,393 16,735
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 11,687 2,136
Level 2 | Corporate equities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 2 | Money markets    
Securities owned:    
Securities owned, at fair value 250 217
Level 2 | Auction rate securities    
Securities owned:    
Securities owned, at fair value 0 0
Level 2 | Futures    
Derivative contracts:    
Derivative contracts, total   0
Derivative contracts:    
Derivative contracts 0 0
Level 2 | TBAs    
Derivative contracts:    
Derivative contracts, total 185 11
Derivative contracts:    
Derivative contracts 177 2
Level 3    
ASSETS    
Deposits with clearing organizations 0 0
Securities owned:    
Securities owned, at fair value 2,713 2,713
Investments 0 0
Loans 0  
Securities purchased under agreements to resell   0
Derivative contracts:    
Derivative contracts, total 0 0
Total 2,713 2,713
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Derivative contracts:    
Derivative contracts 0 0
Total 0 0
Level 3 | U.S. Treasury securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | U.S. Agency securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0  
Level 3 | Corporate debt and other obligations    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Mortgage and other asset-backed securities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value   0
Level 3 | Municipal obligations    
Securities owned:    
Securities owned, at fair value 0 0
Level 3 | Convertible bonds    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Corporate equities    
Securities owned:    
Securities owned, at fair value 0 0
Securities sold but not yet purchased:    
Securities sold but not yet purchased, at fair value 0 0
Level 3 | Money markets    
Securities owned:    
Securities owned, at fair value 0 0
Level 3 | Auction rate securities    
Securities owned:    
Securities owned, at fair value 2,713 2,713
Level 3 | Futures    
Derivative contracts:    
Derivative contracts, total   0
Derivative contracts:    
Derivative contracts 0 0
Level 3 | TBAs    
Derivative contracts:    
Derivative contracts, total 0 0
Derivative contracts:    
Derivative contracts $ 0 $ 0