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Consolidated Statements of Cash Flows (Unaudited) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Cash flows provided by operating activities    
Net income (loss) $ 5,476,983us-gaap_IncomeLossAttributableToParent $ (8,384,583)us-gaap_IncomeLossAttributableToParent
Adjustments to reconcile net income (loss) to net cash provided by operating activities:    
Net cash provided by operating activities 2,190,054us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 1,529,282us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
Cash flows used in financing activities    
Subscriptions 734,544gaifb_ProceedsFromSubscriptions 1,462,800gaifb_ProceedsFromSubscriptions
Redemptions (2,924,598)gaifb_PaymentsOfRedemptions (2,992,082)gaifb_PaymentsOfRedemptions
Net cash used in financing activities (2,190,054)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (1,529,282)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
Net change in cash and cash equivalents 0us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 0us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents, beginning of period 0us-gaap_CashAndCashEquivalentsAtCarryingValue 0us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents, end of period 0us-gaap_CashAndCashEquivalentsAtCarryingValue 0us-gaap_CashAndCashEquivalentsAtCarryingValue
Graham Alternative Investment Trading LLC [Member]    
Cash flows provided by operating activities    
Net income (loss) (5,476,983)us-gaap_IncomeLossAttributableToParent
/ invest_InvestmentContractCounterpartyAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember
8,384,583us-gaap_IncomeLossAttributableToParent
/ invest_InvestmentContractCounterpartyAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember
Adjustments to reconcile net income (loss) to net cash provided by operating activities:    
Proceeds from sale of investments 2,924,598us-gaap_ProceedsFromSaleOfOtherInvestments
/ invest_InvestmentContractCounterpartyAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember
2,992,082us-gaap_ProceedsFromSaleOfOtherInvestments
/ invest_InvestmentContractCounterpartyAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember
Investments $ (734,544)gaifb_InvestmentsMadeInOtherFunds
/ invest_InvestmentContractCounterpartyAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember
$ (1,462,800)gaifb_InvestmentsMadeInOtherFunds
/ invest_InvestmentContractCounterpartyAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember