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Consolidated Statements of Operations (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Net gain allocated from investment in Graham Alternative Investment Trading LLC:    
Net realized gain on investments $ 15,370,375us-gaap_TradingSecuritiesRealizedGainLoss $ 9,734,900us-gaap_TradingSecuritiesRealizedGainLoss
Net (decrease) increase in unrealized appreciation on investments (506,765)us-gaap_TradingSecuritiesUnrealizedHoldingGainLoss 1,992,310us-gaap_TradingSecuritiesUnrealizedHoldingGainLoss
Brokerage commissions and fees (381,539)us-gaap_PaymentsForCommissions (472,949)us-gaap_PaymentsForCommissions
Net gain allocated from investment in Graham Alternative Investment Trading LLC 14,482,071us-gaap_NetRealizedOrUnrealizedGainLossOnTradingSecurities 11,254,261us-gaap_NetRealizedOrUnrealizedGainLossOnTradingSecurities
Investment income:    
Interest income 136,488us-gaap_InterestIncomeOperating 169,921us-gaap_InterestIncomeOperating
Expenses:    
Advisory fees 1,228,756us-gaap_NoninterestExpenseInvestmentAdvisoryFees 1,514,751us-gaap_NoninterestExpenseInvestmentAdvisoryFees
Sponsor fees 893,625us-gaap_SponsorFees 1,021,642us-gaap_SponsorFees
Professional fees and other 163,009us-gaap_ProfessionalFees 216,618us-gaap_ProfessionalFees
Administrator's fees 95,861gaifb_AdministratorSFees 112,745gaifb_AdministratorSFees
Incentive allocation 1,740,643us-gaap_IncentiveFeeExpense 0us-gaap_IncentiveFeeExpense
Total expenses 4,121,894us-gaap_OperatingExpenses 2,865,756us-gaap_OperatingExpenses
Net investment loss allocated from investment in Graham Alternative Investment Trading LLC (3,985,406)gaifb_NetInvestmentLoss (2,695,835)gaifb_NetInvestmentLoss
Net income $ 10,496,665us-gaap_IncomeLossAttributableToParent $ 8,558,426us-gaap_IncomeLossAttributableToParent