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Summary of Significant Accounting Policies (Details)
Mar. 31, 2015
Dec. 31, 2014
Graham Alternative Investment Ltd. [Abstract]    
Percentage of ownership interest (in hundredths) 100.00%gaifb_PercentageOfOwnershipInterest  
Graham Alternative Investment Trading LLC [Member]    
Schedule of Equity Method Investments [Line Items]    
Ownership percentage (in hundredths) 46.50%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember
46.52%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= gaifb_GrahamAlternativeInvestmentTradingLlcMember