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Fair value measurements - Schedule of Assets and Liabilities Measured at Fair Value on Recurring Basis (Details) - USD ($) $ in Thousands | Sep. 30, 2025 | Dec. 31, 2024
--- | --- | ---
Assets |  |
Deposits with clearing organizations | $ 27,993 | $ 28,071
Securities owned: |  |
Securities owned, at fair value | 1,316,093 | 1,108,206
Investments | 17,146 | 17,983
Trade claim |  | 2,684
Loans | 734 | 432
Total | 1,362,049 | 1,157,376
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 258,856 | 98,892
Derivative contracts: (2) |  |
Derivative contracts, total | 1,068 | 1,071
Total | 259,924 | 99,963
Derivative contracts, total | 83 |
U.S. Treasury securities |  |
Securities owned: |  |
Securities owned, at fair value | 1,216,287 | 995,420
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 230,586 | 82,767
U.S. Agency securities |  |
Securities owned: |  |
Securities owned, at fair value | 6,205 | 3,691
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 27 | 4
Sovereign obligations |  |
Securities owned: |  |
Securities owned, at fair value | 6,403 |
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 4,599 |
Corporate debt and other obligations |  |
Securities owned: |  |
Securities owned, at fair value | 10,529 | 9,423
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 1,143 | 11
Mortgage and other asset-backed securities |  |
Securities owned: |  |
Securities owned, at fair value | 2,095 | 8,954
Municipal obligations |  |
Securities owned: |  |
Securities owned, at fair value | 17,259 | 34,704
Convertible bonds |  |
Securities owned: |  |
Securities owned, at fair value | 17,222 | 21,938
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 13,521 | 4,998
Corporate equities |  |
Securities owned: |  |
Securities owned, at fair value | 32,937 | 23,873
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 8,980 | 11,112
Money markets |  |
Securities owned: |  |
Securities owned, at fair value | 7,028 | 7,551
Auction rate securities |  |
Securities owned: |  |
Securities owned, at fair value | 128 | 2,652
Futures |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 982 | 1,071
TBAs |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 86 |
Derivative contracts, total | 83 |
Level 1 |  |
Assets |  |
Deposits with clearing organizations | 27,993 | 28,071
Securities owned: |  |
Securities owned, at fair value | 1,254,554 | 1,026,844
Investments | 0 | 978
Trade claim |  | 0
Loans | 0 | 0
Total | 1,282,547 | 1,055,893
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 239,566 | 93,879
Derivative contracts: (2) |  |
Derivative contracts, total | 982 | 1,071
Total | 240,548 | 94,950
Derivative contracts, total | 0 |
Level 1 | U.S. Treasury securities |  |
Securities owned: |  |
Securities owned, at fair value | 1,216,287 | 995,420
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 230,586 | 82,767
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 | 0
Level 1 | Sovereign obligations |  |
Securities owned: |  |
Securities owned, at fair value | 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
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 | 31,767 | 23,873
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 8,980 | 11,112
Level 1 | Money markets |  |
Securities owned: |  |
Securities owned, at fair value | 6,500 | 7,551
Level 1 | Auction rate securities |  |
Securities owned: |  |
Securities owned, at fair value | 0 | 0
Level 1 | Futures |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 982 | 1,071
Level 1 | TBAs |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 0 |
Derivative contracts, total | 0 |
Level 2 |  |
Assets |  |
Deposits with clearing organizations | 0 | 0
Securities owned: |  |
Securities owned, at fair value | 58,268 | 78,710
Investments | 17,146 | 17,005
Trade claim |  | 0
Loans | 734 | 432
Total | 76,231 | 96,147
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 19,290 | 5,013
Derivative contracts: (2) |  |
Derivative contracts, total | 86 | 0
Total | 19,376 | 5,013
Derivative contracts, total | 83 |
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 | 6,205 | 3,691
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 27 | 4
Level 2 | Sovereign obligations |  |
Securities owned: |  |
Securities owned, at fair value | 6,403 |
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 4,599 |
Level 2 | Corporate debt and other obligations |  |
Securities owned: |  |
Securities owned, at fair value | 8,556 | 9,423
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 1,143 | 11
Level 2 | Mortgage and other asset-backed securities |  |
Securities owned: |  |
Securities owned, at fair value | 2,095 | 8,954
Level 2 | Municipal obligations |  |
Securities owned: |  |
Securities owned, at fair value | 17,259 | 34,704
Level 2 | Convertible bonds |  |
Securities owned: |  |
Securities owned, at fair value | 17,222 | 21,938
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 13,521 | 4,998
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 | 528 | 0
Level 2 | Auction rate securities |  |
Securities owned: |  |
Securities owned, at fair value | 0 | 0
Level 2 | Futures |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 0 | 0
Level 2 | TBAs |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 86 |
Derivative contracts, total | 83 |
Level 3 |  |
Assets |  |
Deposits with clearing organizations | 0 | 0
Securities owned: |  |
Securities owned, at fair value | 3,271 | 2,652
Investments | 0 | 0
Trade claim |  | 2,684
Loans | 0 | 0
Total | 3,271 | 5,336
Securities sold but not yet purchased: |  |
Securities sold but not yet purchased, at fair value | 0 | 0
Derivative contracts: (2) |  |
Derivative contracts, total | 0 | 0
Total | 0 | 0
Derivative contracts, total | 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 | 0
Level 3 | Sovereign obligations |  |
Securities owned: |  |
Securities owned, at fair value | 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 | 1,973 | 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
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 | 1,170 | 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 | 128 | 2,652
Level 3 | Futures |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 0 | $ 0
Level 3 | TBAs |  |
Derivative contracts: (2) |  |
Derivative contracts, total | 0 |
Derivative contracts, total | $ 0 |

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