General - Statements of Financial Condition (Detail) (USD $)	Jun. 30, 2013	Dec. 31, 2012	Jun. 30, 2012
Equity in trading account:
Cash	$ 124,051	$ 125,706
Total assets	109,675,111	145,928,434
Accrued expenses:
Total liabilities	6,310,892	3,438,385
Members' Capital
Total liabilities and partners' capital	109,675,111	145,928,434
Net asset value per unit	9,490.53		10,020.25
Limited Partners [Member]
Equity in trading account:
Cash	609,712,360	710,986,415
Cash margin	28,434,614	38,559,983
Options purchased, at fair value (cost $176,179,528 and $214,452,195, respectively)	97,288,719	160,438,693
Total assets	735,435,693	909,985,091
Liabilities:
Net unrealized depreciation on open futures and exchange-cleared swap contracts	13,176,347	29,721,227
Options premium received, at fair value (premium $81,917,009 and $75,518,560, respectively)	32,987,494	37,237,413
Accrued expenses:
Professional fees	203,622	268,298
Total liabilities	46,367,463	67,226,938
Members' Capital
Members' Capital, 71,776.9756 and 82,455.2248 units outstanding at June 30, 2013 and December 31, 2012, respectively	689,068,230	842,758,153
Total liabilities and partners' capital	$ 735,435,693	$ 909,985,091
Net asset value per unit	9,600.13	10,220.80	9,804.88