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Consolidated Statements of Financial Condition (Unaudited) (USD $)
Mar. 31, 2015
Dec. 31, 2014
Assets    
Investment in Graham Alternative Investment Trading LLC, at fair value $ 83,925,493us-gaap_InvestmentOwnedAtFairValue $ 78,546,247us-gaap_InvestmentOwnedAtFairValue
Redemption receivable from Graham Alternative Investment Trading LLC 626,716gaifb_RedemptionReceivable 2,719,033gaifb_RedemptionReceivable
Total assets 84,552,209us-gaap_Assets 81,265,280us-gaap_Assets
Liabilities:    
Accrued redemptions 626,716gaifb_AccruedRedemptions 2,719,033gaifb_AccruedRedemptions
Total liabilities 626,716us-gaap_Liabilities 2,719,033us-gaap_Liabilities
Members' capital:    
Members' capital 83,925,493us-gaap_PartnersCapital 78,546,247us-gaap_PartnersCapital
Total liabilities and members' capital 84,552,209us-gaap_LiabilitiesAndStockholdersEquity 81,265,280us-gaap_LiabilitiesAndStockholdersEquity
Class 0 Units [Member]    
Members' capital:    
Members' capital 62,700,318us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
58,300,841us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
Class 2 Units [Member]    
Members' capital:    
Members' capital $ 21,225,175us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
$ 20,245,406us-gaap_PartnersCapital
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember