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Insurance and reinsurance (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Dec. 31, 2021
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Incurred and paid claims $ 4,078,000 $ 4,648,000  
Change in claims outstanding and claims IBNR (535,000) (695,000)  
Total collateral posted for reinsurance business 61,400   $ 120,500
Collateral released related to reinsurance business 1,400    
Cash collateral pledged $ 52,865 110,303 47,494
Cowen Insurance Co and Cowen Re      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Historical Average Claims Ratios, Period, Maximum 10 years    
Cash and Cash Equivalents      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Total collateral posted for reinsurance business $ 49,400   106,800
US Treasury Bond Securities      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Total collateral posted for reinsurance business 12,000   13,700
Outward insurance      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Incurred and paid claims 1,067,000 744,000  
Change in claims outstanding and claims IBNR 54,000 (136,000)  
Inward Reinsurance      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Incurred and paid claims 3,011,000 3,904,000  
Change in claims outstanding and claims IBNR (589,000) $ (559,000)  
Collateral Reinsurance Agreement      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Cash collateral pledged 49,500   $ 44,100
Collateral Reinsurance Agreement, Released September 30, 2023      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Cash collateral pledged 40,500    
Collateral Reinsurance Agreement, Released March 31, 2024      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Cash collateral pledged $ 20,900