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Patrick Boyle

The Minimum Variance Hedge Ratio and Beta Hedging using Futures

Dienstag, 3. November 2026 · 8 min

MP3

Shownotes

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. amzn.to/2WIoAL0
Check out our website onfinance.org

Follow Patrick on twitter here: twitter.com/PatrickEBoyle

One problem with using financial futures contracts to hedge a portfolio of assets, is that a perfect futures contract may not exist. Thus a perfect hedge cannot be achieved.

An example would be, if an airline company executive wished to hedge the company's exposure to jet fuel prices, and found that there was no jet fuel futures market or if they found that a futures market exists but it is so illiquid that it is functionally useless.

The CFO then needs to find a way to use a different contract that is highly correlated with the underlying asset and has a similar variance. This is done using the minimum variance hedge ratio.
The minimum variance hedge ratio (or optimal hedge ratio) is the ratio of futures position relative to the spot position that minimizes the variance of the position. In this video we will learn how to do this calculation.

We also learn how to use beta in hedging a portfolio of stocks using S&P500 index futures.

minimum variance portfolio.

beta hedging equity portfolio

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