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Investments (Tables)
 12 Months Ended
Dec. 31, 2024
Investments [Abstract]  
Schedule of Fixed-Maturity Securities Classified as Available-for-Sale
The amortized cost, estimated fair value, and unrealized gains and losses on investments in fixed-maturity securities classified as available-for-sale as of December 31, 2024 and 2023 are summarized as follows:
 December 31, 2024
    
 Cost or
Amortized
Cost 		Gross
Unrealized
Gains 		Gross Unrealized LossesEstimated
Fair
Value		Net
Unrealized
Losses
Category Less than
12 Months		More than
12 Months
   
Fixed-Maturity Securities:       
U.S. Treasury securities and obligations of U.S. government corporations and agencies (1)$— $— $— $- $— $— 
       
Political subdivisions of States, Territories and Possessions (1)24,271,177 - (73,589)(3,324,491)20,873,097 (3,398,080)
       
Corporate and other bonds Industrial and miscellaneous (1)112,507,436 - (1,024,461)(4,690,597)106,792,378 (5,715,058)
       
Residential mortgage and other asset backed securities (1) (2)65,529,545 119,647 (209,890)(6,211,339)59,227,963 (6,301,582)
Total fixed-maturity securities$202,308,158 $119,647 $(1,307,940)$(14,226,427)$186,893,438 $(15,414,720)
 December 31, 2023
 Cost or
Amortized
Cost		Gross
Unrealized
Gains		Gross Unrealized LossesEstimated
Fair
Value		Net
Unrealized
Losses
Category Less than
12 Months		More than
12 Months
   
Fixed-Maturity Securities:       
U.S. Treasury securities and obligations of U.S. government corporations and agencies (1)$20,954,764 $1,799 $(17,373)$- $20,939,190 $(15,574)
       
Political subdivisions of States, Territories and Possessions16,607,713 - — (3,209,161)13,398,552 (3,209,161)
       
Corporate and other bonds Industrial and miscellaneous75,993,042 - — (5,885,296)70,107,746 (5,885,296)
       
Residential mortgage and other asset backed securities (2)50,905,423 113,761 (2,144)(6,541,731)44,475,309 (6,430,114)
Total fixed-maturity securities$164,460,942 $115,560 $(19,517)$(15,636,188)$148,920,797 $(15,540,145)
(1)In October 2022, KICO placed certain U.S. Treasury securities to fulfill the required collateral for a sale leaseback transaction in a designated custodian account (see Note 9 – Debt - “Equipment Financing”). As of December 31, 2024 KICO had sold its U.S. Treasury securities and replaced a portion of its other fixed-maturity securities in the designated custodian account, As of December 31, 2024 and 2023, the amount of required collateral was approximately $5,308,000 and $6,999,000, respectively. As of December 31, 2024 and 2023, the estimated fair value of the eligible collateral was approximately $5,308,000 and $6,999,000, respectively.
(2)KICO has placed certain residential mortgage backed securities as eligible collateral in a designated custodian account related to its membership in the Federal Home Loan Bank of New York ("FHLBNY") (see Note 9 – Debt – “Federal Home Loan Bank”). The eligible collateral would be pledged to FHLBNY if KICO draws an advance from the FHLBNY credit line. As of December 31, 2024, the estimated fair value of the eligible investments was approximately $10,130,000. KICO will retain all rights regarding all securities if pledged as collateral. As of December 31, 2024 and 2023 there was no outstanding balance on the FHLBNY credit line.
Schedule of Available for Sale Fixed Maturity Securities Contractual Maturity
A summary of the amortized cost and estimated fair value of the Company’s investments in available-for-sale fixed-maturity securities by contractual maturity as of December 31, 2024 and 2023 is shown below:
 December 31, 2024December 31, 2023
Remaining Time to Maturity Amortized
Cost		Estimated
Fair Value		Amortized
Cost		Estimated
Fair Value
     
Less than one year$9,522,262 $9,484,834 $34,729,120 $34,461,172 
One to five years68,052,387 66,141,372 31,803,338 30,416,618 
Five to ten years38,159,446 34,068,922 31,596,410 27,330,377 
More than 10 years21,044,518 17,970,347 15,426,651 12,237,321 
Residential mortgage and other asset backed securities65,529,545 59,227,963 50,905,423 44,475,309 
Total$202,308,158 $186,893,438 $164,460,942 $148,920,797 
Schedule of Equity Securities
The cost and estimated fair value of, and gross unrealized gains and losses on, investments in equity securities as of December 31, 2024 and 2023 are as follows:
 December 31, 2024
Category Cost Gross
Gains 		Gross
Losses 		Estimated
Fair Value
   
Equity Securities:     
Preferred stocks$9,750,322 $- $(2,422,617)$7,327,705 
Fixed income exchange traded funds3,711,232  (808,432)2,902,800 
FHLBNY common stock66,000 - - 66,000 
Total$13,527,554 $- $(3,231,049)$10,296,505 
 December 31, 2023
Category CostGross
Gains		Gross
Losses 		Estimated
Fair Value
   
Equity Securities:     
Preferred stocks$13,583,942 $- $(2,870,027)$10,713,915 
Fixed income exchange traded funds,3,711,232  (669,232)3,042,000 
Mutual funds622,209 314,816 - 937,025 
FHLBNY common stock69,400 - - 69,400 
Total$17,986,783 $314,816 $(3,539,259)$14,762,340 
Schedule of Other Investments
The cost and estimated fair value of, and gross unrealized gains on, the Company’s other investments as of December 31, 2024 and 2023 are as follows:
 December 31, 2024December 31, 2023
Category Cost Gross
Gains 		Estimated
Fair Value 		CostGross
Gains		Estimated
Fair Value
 
Other Investments:
Hedge fund$1,987,040 $2,393,616 $4,380,656 $1,987,040 $1,910,110 $3,897,150 
Schedule of Held to Maturity Securities
The cost or amortized cost and estimated fair value of, and gross unrealized gains and losses on, investments in held-to-maturity fixed-maturity securities as of December 31, 2024 and 2023 are summarized as follows:
 December 31, 2024
 Cost or
Amortized
Cost 		Gross
Unrealized
Gains 		Gross Unrealized Losses Estimated
Fair
Value 		Net
Unrealized
Gains/
(Losses)
Category Less than
12 Months		More than
12 Months
    
Held-to-Maturity Securities:       
U.S. Treasury securities$1,229,170 $- $(39,630)$(15,990)$1,173,550 $(55,620)
       
Political subdivisions of States,      
Territories and Possessions499,719 - (654)- 499,065 (654)
       
Exchange traded debt304,111 - - (55,611)248,500 (55,611)
       
Corporate and other bonds      
Industrial and miscellaneous5,014,342 - - (976,192)4,038,150 (976,192)
Total$7,047,342 $- $(40,284)$(1,047,793)$5,959,265 $(1,088,077)
 December 31, 2023
 Cost or
Amortized
Cost		Gross
Unrealized
Gains		Gross Unrealized Losses Estimated
Fair
Value		Net
Unrealized
Gains/
(Losses)
CategoryLess than
12 Months		More than
12 Months
   
Held-to-Maturity Securities:       
U.S. Treasury securities$1,228,860 $15,045 $(6,914)$(18,163)$1,218,828 $(10,032)
       
Political subdivisions of States,      
Territories and Possessions499,170 890 - - 500,060 890 
       
Exchange traded debt304,111 - - (70,111)234,000 (70,111)
       
Corporate and other bonds      
Industrial and miscellaneous5,020,400 - - (867,140)4,153,260 (867,140)
Total$7,052,541 $15,935 $(6,914)$(955,414)$6,106,148 $(946,393)
Schedule of Held to Maturity Securities by Contractual Maturity
A summary of the amortized cost and the estimated fair value of the Company’s investments in held-to-maturity securities by contractual maturity as of December 31, 2024 and 2023 is shown below:
 December 31, 2024December 31, 2023
Remaining Time to Maturity Amortized
Cost		Estimated
Fair Value		Amortized
Cost		Estimated
Fair Value
Less than one year$499,719 $499,065 $- $- 
One to five years622,375 600,288 1,121,288 1,097,101 
Five to ten years1,427,579 1,323,600 1,414,911 1,270,770 
More than 10 years4,497,669 3,536,312 4,516,342 3,738,277 
Total$7,047,342 $5,959,265 $7,052,541 $6,106,148 
Schedule of Investment Income
Major categories of the Company’s net investment income are summarized as follows:
 Years ended
December 31,
 20242023
Income:
Fixed-maturity securities$5,197,793 $5,352,304 
Equity securities591,023 707,835 
Cash and cash equivalents1,215,861 255,905 
Other39,227 — 
Total7,043,904 6,316,044 
Expenses:   
Investment expenses220,314 307,362 
Net investment income$6,823,590 $6,008,682 
Schedule of Securities with Realized Gains and Losses on Investments
The Company’s net gains (losses) on investments for the years ended December 31, 2024 and 2023 are summarized as follows:
 Years ended
December 31,
 20242023
Realized Gains (Losses)
Fixed-maturity securities:
Gross realized gains$1,287 $2,428 
Gross realized losses(15,266)(21,239)
 (13,979)(18,811)
   
Equity securities:   
Gross realized gains374,997 - 
Gross realized losses(423,367)- 
 (48,370)- 
   
Net realized losses(62,349)(18,811)
   
Unrealized (Losses) Gains   
   
Equity Securities:   
Gross gains308,210 1,027,867 
Gross losses(314,816)- 
 (6,606)1,027,867 
   
Other Investments:   
Gross gains483,506 1,125,498 
Gross losses- - 
 483,506 1,125,498 
   
Net unrealized gains476,900 2,153,365 
   
Net gains on investments$414,551 $2,134,554 
Schedule of Available-for-Sale Securities with Unrealized Losses
The Company held available-for-sale securities with unrealized losses representing declines that were considered temporary at December 31, 2024 and 2023 as follows:
 December 31, 2024
 Less than 12 months12 months or more
Total
Category Estimated
Fair
Value 		Unrealized
Losses 		No. of
Positions
Held 		Estimated
Fair
Value		Unrealized
Losses 		No. of
Positions
Held		Estimated
Fair
Value		Unrealized
Losses
    
Fixed-Maturity Securities:       
U.S. Treasury securities and obligations of U.S. government corporations and agencies$- $- -$- - -$- $- 
         
Political subdivisions of States, Territories and Possessions7,705,370 (73,589)613,167,726 (3,324,491)1220,873,096 (3,398,080)
         
Corporate and other bonds industrial and miscellaneous51,411,296 (1,024,461)6055,381,083 (4,690,597)68106,792,379 (5,715,058)
         
Residential mortgage and other asset backed securities19,315,521 (209,890)2235,206,442 (6,211,339)3654,521,963 (6,421,229)
         
Total fixed-maturity securities$78,432,187 $(1,307,940)88$103,755,251 $(14,226,427)116$182,187,438 $(15,534,367)
 December 31, 2023
 Less than 12 months12 months or more
Total
Category Estimated
Fair
Value		Unrealized
Losses 		No. of
Positions
Held		Estimated
Fair
Value		Unrealized
Losses 		No. of
Positions
Held		Estimated
Fair
Value		Unrealized
Losses
    
Fixed-Maturity Securities:       
U.S. Treasury securities and obligations of U.S. government corporations and agencies$5,974,440 $(17,373)1$- - -$5,974,440 $(17,373)
         
Political subdivisions of States, Territories and Possessions- - -13,398,552 (3,209,161)1513,398,552 (3,209,161)
         
Corporate and other bonds industrial and miscellaneous- - -70,107,746 (5,885,296)8570,107,746 (5,885,296)
         
Residential mortgage and other asset backed securities88,988 (2,144)438,675,604 (6,541,731)3738,764,592 (6,543,875)
         
Total fixed-maturity securities$6,063,428 $(19,517)5$122,181,902 $(15,636,188)137$128,245,330 $(15,655,705)