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Cross-Hedging: Contract Maturity, Roll Costs, and Hedge Data Frequency

Article Quant Q&A · Author: Kix111

Summary

The document considers hedging a one-year exposure in an underlying asset with Brent crude futures. It raises whether to match futures maturity to the exposure or use shorter-dated contracts when their historical price changes show a stronger relationship, accepting the need to roll. It also asks how frequently to sample prices when estimating a regression-based hedge ratio.

The responses emphasize that a rolling hedge adds uncertain basis outcomes, while trading costs such as bid–offer spreads can be compared. A longer-dated contract may have wider spreads, whereas rolling shorter contracts incurs repeated transaction costs. One response favors the prompt contract, warning that deferred maturities can sometimes move differently; another suggests choosing price frequency to match how often the exposure is valued, with daily data for daily exposure. These are brief opinions, not a systematic comparison or universal industry standard. The document provides no empirical results establishing an optimal maturity, sampling interval, or hedge ratio.

Key ideas

  • A rolling hedge can introduce uncertain basis outcomes as contracts are replaced.
  • Compare the spread cost of a longer-dated contract with the repeated trading costs of rolling shorter contracts.
  • Deferred futures maturities can move differently from the prompt contract.
  • Choose regression sampling frequency to reflect how often the underlying exposure is valued.
  • The responses give practical considerations but do not establish a universally optimal hedge convention.

Tags

Full text
# Two questions regarding cross-hedge


# Two questions regarding cross-hedge












A company has to hold an underlying asset for one year and it is looking to use Brent Crude futures to hedge against changes in the underlying asset's price.

- Assuming there is no liquidity concerns in Brent Crude futures of all expiries, would it always make more sense to match the maturity of the futures and the underlying asset? (i.e. taking short position in one-year futures in this case). Or, for example if the 3-month futures show the highest $R^2$ between the futures' and underlying asset's historical price changes, are you willing to engage in a rolling hedge even when it means additional basis risk every time you rollover?

- In running the regression of futures' and the underlying asset's price changes to estimate the optimal hedge ratio, is it better to use daily, weekly or monthly price? What is the most common industry practice and is there any justification for that?

Thank you so much in advance!

## Answer by plkn (score 1)

https://quant.stackexchange.com/a/29826

What you call additional basis risk is unpredictable. It may win or lose in rolling strategy against buying 1 year futures once. But what is measurable is bid/offer spread. In 1 y contract it might be significantly wider that in quarter futures, even considering that you sell 4 times and buy 3 (lose 7 half spreads).

## Answer by HazelnutCoffee (score 0)

https://quant.stackexchange.com/a/31142

- Always use the prompt contract when hedging an asset. deferred months can move opposite to the prompt contact on occasion.

- Use whatever time period you are using to value the asset. If you are using Brent to hedge it then it likely has daily exposure so you would want to use daily price.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.