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Supplementary Information on Loss and ALAE Development - Incurred and Paid Claims (Details) - USD ($)
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Dec. 31, 2010
Dec. 31, 2009
Dec. 31, 2008
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance $ 196,783,974 $ 193,271,387                
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 157,445,399 156,930,790                
Short-duration Insurance Contracts, Accident Year 2008                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,497,508,000 17,617,589,000 $ 17,456,810,000 $ 17,889,384,000 $ 18,668,518,000 $ 19,347,265,000 $ 20,004,073,000 $ 21,290,931,000 $ 22,106,937,000 $ 22,580,220,000
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,497,105,000 17,593,260,000 17,178,322,000 17,041,185,000 17,001,061,000 16,856,762,000 15,902,618,000 13,950,969,000 9,869,827,000 $ 6,962,996,000
Short-duration Insurance Contracts, Accident Year 2009                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,622,828,000 18,554,526,000 19,050,348,000 19,667,376,000 20,398,961,000 21,012,811,000 21,571,780,000 21,412,289,000 21,751,337,000  
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,568,877,000 17,550,304,000 17,380,065,000 17,336,454,000 17,121,818,000 16,180,346,000 13,160,200,000 9,592,059,000 $ 4,919,359,000  
Short-duration Insurance Contracts, Accident Year 2010                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 16,828,688,000 17,641,161,000 18,075,737,000 18,639,537,000 19,326,007,000 19,883,812,000 20,437,443,000 21,418,368,000    
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 16,720,942,000 16,778,214,000 16,283,050,000 15,330,864,000 14,756,510,000 12,955,467,000 10,695,223,000 $ 7,535,122,000    
Short-duration Insurance Contracts, Accident Year 2011                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 19,187,240,000 18,224,634,000 17,879,595,000 17,014,895,000 17,605,460,000 17,900,250,000 18,120,563,000      
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 19,027,232,000 17,422,583,000 16,115,802,000 14,251,525,000 11,212,490,000 8,608,287,000 $ 4,719,943,000      
Short-duration Insurance Contracts, Accident Year 2012                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,914,837,000 18,050,131,000 18,344,175,000 18,895,666,000 19,532,022,000 18,511,598,000        
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,265,513,000 16,734,967,000 15,369,629,000 13,411,125,000 11,673,621,000 $ 6,719,982,000        
Short-duration Insurance Contracts, Accident Year 2013                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 22,798,398,000 21,742,580,000 20,323,841,000 20,118,343,000 19,570,946,000          
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 21,415,490,000 19,067,334,000 14,319,057,000 10,656,777,000 $ 7,594,731,000          
Short-duration Insurance Contracts, Accident Year 2014                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 17,640,211,000 14,930,960,000 15,394,995,000 16,884,731,000            
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 14,556,687,000 9,173,947,000 6,082,893,000 $ 3,826,263,000            
Short-duration Insurance Contracts, Accident Year 2015                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 22,471,512,000 20,840,034,000 20,452,199,000              
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 14,978,639,000 11,151,955,000 $ 6,263,796,000              
Short-duration Insurance Contracts, Accident Year 2016                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 22,908,016,000 21,646,663,000                
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 12,009,273,000 $ 7,435,120,000                
Short-duration Insurance Contracts, Accident Year 2017                    
Claims Development [Line Items]                    
Cumulative Incurred Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance 21,914,736,000                  
Cumulative Paid Losses and Allocated Loss Adjustment Expenses, Net of Reinsurance $ 6,405,641,000