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Insurance and reinsurance (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Incurred and paid claims $ 20,425,000 $ 14,838,000 $ 24,380,000
Change in claims outstanding and claims IBNR 3,416,000 11,599,000 5,700,000
Cash collateral pledged 47,494 110,743 6,563
Total collateral posted for reinsurance business 60,100 120,500  
Collateral released related to reinsurance business $ 60,400    
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 $ 44,100 106,800  
US Treasury Bond Securities      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Total collateral posted for reinsurance business 16,000 13,700  
Outward insurance      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Incurred and paid claims 3,285,000 0 0
Change in claims outstanding and claims IBNR 112,000 0 0
Inward Reinsurance      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Incurred and paid claims 17,140,000 14,838,000 24,380,000
Change in claims outstanding and claims IBNR 3,304,000 11,599,000 $ 5,700,000
Collateral Reinsurance Agreement      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Cash collateral pledged 44,100 $ 106,800  
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 $ 19,600