Trading Activities - Gross Fair Values of Derivative Instruments of Futures and Forward Contracts Traded (Detail) - USD ($)	Sep. 30, 2016	Dec. 31, 2015
Futures Contracts [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	$ 2,404,371	$ 3,831,162
Total unrealized appreciation on open contracts	(1,273,030)	(2,431,726)
Net unrealized appreciation (depreciation) on open contracts	1,131,341	1,399,436
Futures Contracts [Member] \| Commodity [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	1,236,313	2,019,400
Total unrealized appreciation on open contracts	(691,687)	(937,844)
Futures Contracts [Member] \| Equity [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	385,966	196,959
Total unrealized appreciation on open contracts	(341,599)	(421,360)
Futures Contracts [Member] \| Currencies [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	194,614	1,206,216
Total unrealized appreciation on open contracts	(69,054)	(469,882)
Futures Contracts [Member] \| Interest Rates [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	587,478	408,587
Total unrealized appreciation on open contracts	(170,690)	(602,640)
Forward Contracts [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	1,053,943	1,168,919
Total unrealized appreciation on open contracts	(731,337)	(1,125,088)
Net unrealized appreciation (depreciation) on open contracts	322,606	43,831
Forward Contracts [Member] \| Commodity [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	514,365	740,942
Total unrealized appreciation on open contracts	(586,090)	(954,788)
Forward Contracts [Member] \| Currencies [Member]
Trading Activity, Gains and Losses, Net [Line Items]
Total unrealized appreciation on open contracts	539,578	427,977
Total unrealized appreciation on open contracts	$ (145,247)	$ (170,300)

This element represents the excess of the cost (face amount, notional amount) of an investment (security, contract) over its fair value which deficiency has not been recognized in earnings of the entity.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 946
-SubTopic 320
-Section S99
-Paragraph 22
-URI http://asc.fasb.org/extlink&oid=50485924&loc=SL6090603-123010

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- Definition

This element represents the net excess or deficiency of the fair value of an investment (security, contract) over or under its cost (face amount, notional amount), respectively, which excess value or deficiency has not been recognized in earnings of the entity.

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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