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Consolidated Statements of Financial Condition (USD $)
Dec. 31, 2014
Dec. 31, 2013
Assets    
Investment in Graham Alternative Investment Trading LLC, at fair value $ 78,546,247us-gaap_InvestmentOwnedAtFairValue $ 76,659,546us-gaap_InvestmentOwnedAtFairValue
Redemption receivable from Graham Alternative Investment Trading LLC 2,719,033gaifb_RedemptionReceivable 1,779,202gaifb_RedemptionReceivable
Total assets 81,265,280us-gaap_Assets 78,438,748us-gaap_Assets
Liabilities:    
Accrued redemptions 2,719,033gaifb_AccruedRedemptions 1,779,202gaifb_AccruedRedemptions
Total liabilities 2,719,033us-gaap_Liabilities 1,779,202us-gaap_Liabilities
Members' capital:    
Members' capital 78,546,247us-gaap_PartnersCapital 76,659,546us-gaap_PartnersCapital
Total liabilities and members' capital 81,265,280us-gaap_LiabilitiesAndStockholdersEquity 78,438,748us-gaap_LiabilitiesAndStockholdersEquity
Class 0 Units [Member]    
Members' capital:    
Members' capital 58,300,841us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
58,310,022us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
Class 2 Units [Member]    
Members' capital:    
Members' capital $ 20,245,406us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
$ 18,349,524us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember