Commodity Contracts Optimal Number
Calculate the optimal number of contracts to hedge a portfolio
The optimal futures contracts number equals the position size times the minimum variance hedge ratio divided by the futures contract value.
Formula
![Copy to Clipboard QuantityVariable[SuperStar["N"], "Unitless"] == (QuantityVariable[Subscript["N", "A"], "Money"]*QuantityVariable[SuperStar["h"], "Unitless"])/QuantityVariable[Subscript["Q", "F"], "Money"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/f1e/f1e96217-91f0-4a17-adc4-9e11733eea97/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| N* | optimal futures contracts number | "Unitless" |
| NA | position size | "Money" |
| QF | futures contract value | "Money" |
| h* | minimum variance hedge ratio | "Unitless" |
Forms
Examples
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Use some values:
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