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Investments - Available for sale investments (Details) (USD $)
Mar. 31, 2015
Dec. 31, 2014
Certificates of deposit    
Amortized cost of fixed maturity investments by asset type $ 19,489,000UNAM_AmortizedCostOfFixedMaturityInvestmentByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
$ 15,089,000UNAM_AmortizedCostOfFixedMaturityInvestmentByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
Gross unrealized gains by asset type 0UNAM_GrossUnrealizedGainsByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
0UNAM_GrossUnrealizedGainsByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
Gross unrealized losses by asset type 0UNAM_GrossUnrealizedLossesByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
0UNAM_GrossUnrealizedLossesByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
Investments at fair value 19,489,000us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
15,089,000us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_CertificatesOfDepositMember
U.S. treasury securities    
Amortized cost of fixed maturity investments by asset type 25,064,427UNAM_AmortizedCostOfFixedMaturityInvestmentByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
20,064,111UNAM_AmortizedCostOfFixedMaturityInvestmentByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
Gross unrealized gains by asset type 90,158UNAM_GrossUnrealizedGainsByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
14,476UNAM_GrossUnrealizedGainsByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
Gross unrealized losses by asset type (680)UNAM_GrossUnrealizedLossesByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
(9,031)UNAM_GrossUnrealizedLossesByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
Investments at fair value 25,153,905us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
20,069,556us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasurySecuritiesMember
Total fixed maturities    
Amortized cost of fixed maturity investments by asset type 44,553,427UNAM_AmortizedCostOfFixedMaturityInvestmentByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
35,153,111UNAM_AmortizedCostOfFixedMaturityInvestmentByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Gross unrealized gains by asset type 90,158UNAM_GrossUnrealizedGainsByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
14,476UNAM_GrossUnrealizedGainsByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Gross unrealized losses by asset type (680)UNAM_GrossUnrealizedLossesByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(9,031)UNAM_GrossUnrealizedLossesByAssetType
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Investments at fair value $ 44,642,905us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
$ 35,158,556us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember