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Investments - Schedule of securities with unrealized losses (Details) | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2024 USD ($) position | Dec. 31, 2023 USD ($) position
U.S. Treasury securities and obligations of U.S. government corporations and agencies |  |
Net Investment Income [Line Items] |  |
Estimated fair value - less than 12 months | $ 0 | $ 5,974,440
Unrealized losses - less than 12 months | $ 0 | $ (17,373)
Number of positions held - less than 12 months | position | 0 | 1
Estimated fair value - 12 months or more | $ 5,997,060 | $ 0
Unrealized losses - 12 months or more | $ (2,128) | $ 0
Number of positions held - 12 months or more | position | 1 | 0
Estimated fair value - total | $ 5,997,060 | $ 5,974,440
Unrealized losses - total | (2,128) | (17,373)
Political subdivisions of States, Territories and Possessions |  |
Net Investment Income [Line Items] |  |
Estimated fair value - less than 12 months | 0 | 0
Unrealized losses - less than 12 months | $ 0 | $ 0
Number of positions held - less than 12 months | position | 0 | 0
Estimated fair value - 12 months or more | $ 13,889,291 | $ 13,398,552
Unrealized losses - 12 months or more | $ (2,610,572) | $ (3,209,161)
Number of positions held - 12 months or more | position | 12 | 13
Estimated fair value - total | $ 13,889,291 | $ 13,398,552
Unrealized losses - total | (2,610,572) | (3,209,161)
Corporate and other bonds industrial and miscellaneous |  |
Net Investment Income [Line Items] |  |
Estimated fair value - less than 12 months | 17,557,547 | 0
Unrealized losses - less than 12 months | $ (49,276) | $ 0
Number of positions held - less than 12 months | position | 18 | 0
Estimated fair value - 12 months or more | $ 63,278,931 | $ 70,107,746
Unrealized losses - 12 months or more | $ (3,854,059) | $ (5,885,296)
Number of positions held - 12 months or more | position | 74 | 85
Estimated fair value - total | $ 80,836,478 | $ 70,107,746
Unrealized losses - total | (3,903,335) | (5,885,296)
Residential mortgage and other asset backed securities |  |
Net Investment Income [Line Items] |  |
Estimated fair value - less than 12 months | 8,405 | 88,988
Unrealized losses - less than 12 months | $ (136) | $ (2,144)
Number of positions held - less than 12 months | position | 1 | 4
Estimated fair value - 12 months or more | $ 37,008,025 | $ 38,675,604
Unrealized losses - 12 months or more | $ (5,097,373) | $ (6,541,731)
Number of positions held - 12 months or more | position | 36 | 37
Estimated fair value - total | $ 37,016,430 | $ 38,764,592
Unrealized losses - total | (5,097,509) | (6,543,875)
Total fixed-maturity securities |  |
Net Investment Income [Line Items] |  |
Estimated fair value - less than 12 months | 17,565,952 | 6,063,428
Unrealized losses - less than 12 months | $ (49,412) | $ (19,517)
Number of positions held - less than 12 months | position | 19 | 5
Estimated fair value - 12 months or more | $ 120,173,307 | $ 122,181,902
Unrealized losses - 12 months or more | $ (11,564,132) | $ (15,636,188)
Number of positions held - 12 months or more | position | 123 | 135
Estimated fair value - total | $ 137,739,259 | $ 128,245,330
Unrealized losses - total | $ (11,613,544) | $ (15,655,705)

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