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Consolidated Statements of Operations (Unaudited) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Net gain (loss) allocated from investment in Graham Alternative Investment Trading LLC:    
Net realized gain (loss) on investments $ 9,604,138us-gaap_TradingSecuritiesRealizedGainLoss $ (4,652,707)us-gaap_TradingSecuritiesRealizedGainLoss
Net decrease in unrealized appreciation on investments (1,998,606)us-gaap_TradingSecuritiesUnrealizedHoldingGainLoss (3,083,378)us-gaap_TradingSecuritiesUnrealizedHoldingGainLoss
Brokerage commissions and fees (103,194)us-gaap_PaymentsForCommissions (106,993)us-gaap_PaymentsForCommissions
Net gain (loss) allocated from investment in Graham Alternative Investment Trading LLC 7,502,338us-gaap_NetRealizedOrUnrealizedGainLossOnTradingSecurities (7,843,078)us-gaap_NetRealizedOrUnrealizedGainLossOnTradingSecurities
Investment income:    
Interest income 52,187us-gaap_InterestIncomeOperating 37,862us-gaap_InterestIncomeOperating
Expenses:    
Advisory fees 367,004us-gaap_NoninterestExpenseInvestmentAdvisoryFees 308,018us-gaap_NoninterestExpenseInvestmentAdvisoryFees
Sponsor fees 265,241us-gaap_SponsorFees 219,570us-gaap_SponsorFees
Professional fees and other 47,091us-gaap_ProfessionalFees 28,722us-gaap_ProfessionalFees
Administrator's fees 29,008gaifb_AdministratorSFees 23,057gaifb_AdministratorSFees
Incentive allocation 1,369,198us-gaap_IncentiveFeeExpense 0us-gaap_IncentiveFeeExpense
Total expenses 2,077,542us-gaap_OperatingExpenses 579,367us-gaap_OperatingExpenses
Net investment loss allocated from investment in Graham Alternative Investment Trading LLC (2,025,355)gaifb_NetInvestmentLoss (541,505)gaifb_NetInvestmentLoss
Net income (loss) $ 5,476,983us-gaap_IncomeLossAttributableToParent $ (8,384,583)us-gaap_IncomeLossAttributableToParent