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Liability for Losses and Loss Expenses - Summary of Insurance Subsidiaries' Liability for Losses and Loss Expenses (Detail) - USD ($)
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Liability for Claims and Claims Adjustment Expense [Abstract]      
Balance at January 1 $ 814,665,224 $ 676,671,727 $ 606,664,590
Less reinsurance recoverable (339,267,525) (293,271,257) (259,147,147)
Net balance at January 1 475,397,699 383,400,470 347,517,443
Incurred related to:      
Current year 519,319,941 540,826,810 480,646,641
Prior years (12,932,277) 35,631,610 6,621,413
Total incurred 506,387,664 576,458,420 487,268,054
Paid related to:      
Current year 278,923,614 308,578,285 288,379,600
Prior years 195,956,327 175,882,906 163,005,427
Total paid 474,879,941 484,461,191 451,385,027
Net balance at end of period 506,905,422 475,397,699 383,400,470
Plus reinsurance recoverable 362,768,427 339,267,525 293,271,257
Balance at end of period $ 869,673,849 $ 814,665,224 $ 676,671,727