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Matching a futures hedge to an exposure9 min read

Futures Hedge Ratio and Basis Risk Explained

Learn how futures hedge ratios, contract multipliers, beta or correlation estimates, basis risk, roll dates, and daily margin affect a hedge beyond a simple notional match

Prepared by Mark · Primary sources below

Direct answer

A futures hedge ratio translates the risk being hedged into a number of futures contracts, but notional value alone is only a starting point. The correct sign, contract multiplier, maturity, price sensitivity, correlation, basis behavior, and available margin all affect whether a futures position offsets the exposure or introduces a new mismatch.

Start with the exposure, not the contract count

Define what can lose value, when the loss matters, and which price reference measures it. A portfolio, inventory, expected purchase, or option book can each require a different hedge direction and horizon.

For a simple value match, divide the exposure value by one futures contract's notional value, then apply the direction. A short futures position may offset a long price exposure, while a long future may offset a planned purchase. The sign must follow the economic loss, not a headline view.

Contract notional changes as the futures price changes. Recalculate rather than treating the opening number of contracts as permanently exact.

Sensitivity can matter more than face value

When the exposure and future are not identical, a hedge ratio may use beta, volatility, and correlation estimates. A common minimum-variance form is correlation times the exposure volatility divided by futures volatility, scaled by the value relationship.

That estimate is historical and model-dependent. A high correlation can change during a shock, and beta does not ensure that two instruments move together on the day the hedge is needed.

For rate, commodity, or option exposures, the relevant sensitivity can be duration, DV01, delta, quantity, grade, or location rather than a dollar market-cap measure.

Basis risk is the remaining difference

Basis risk is the risk that the hedge future and the hedged item move differently. It can arise from expiry, delivery location, quality, index composition, dividends, currency, timing, or a different benchmark.

Choosing a nearer maturity can reduce one mismatch but increase rollover needs. Choosing a later maturity can improve timing but make the price relationship less direct. There is no universal best month.

Track the spot or exposure reference and the futures contract together. Measuring only futures P&L cannot reveal whether a disappointing hedge came from the market move, a basis change, or an incorrect size.

Rolling and margin are part of the hedge design

Futures expire. If the underlying exposure lasts longer, a roll replaces one basis and contract liquidity profile with another. Set a roll rule before the expiry week and record which contract and prices were used.

Daily mark-to-market can require cash when the future moves adversely even if the overall hedge is expected to offset a later physical loss. Margin capacity is therefore part of hedge feasibility, not an administrative afterthought.

Review the hedge after changes in exposure size, contract price, correlation, dividends, inventory, delivery date, or liquidity. A ratio is a documented estimate that must be monitored, not a one-time promise.

Common questions

What is a one-to-one futures hedge?

It is a simple notional or quantity match between an exposure and futures contracts. It can still leave basis and sensitivity mismatch if their prices do not move identically.

Why can a hedge lose money while the exposure also loses money?

The future may move by a different amount or at a different time because of basis risk, incorrect sizing, roll effects, or a changed relationship between the instruments.

Does a hedge ratio stay fixed?

Usually not. Prices, exposure size, beta, volatility, time to expiry, and contract liquidity can all change, so the calculation needs review.

Sources and further reading

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