Hedge Ratio Calculator
Enter your portfolio exposure and hedge position to find out what percentage of your portfolio is protected against market risk. Switch between three calculation modes: the simple hedge ratio, the optimal hedge ratio (based on correlation and volatility), or the number of futures contracts needed to reach a target protection level. Results update instantly as you type.
What is the hedge ratio?
The hedge ratio is the proportion of a financial position that is protected against risk by an offsetting instrument such as a futures contract, option, or inverse ETF. A hedge ratio of 50% means half your exposure is protected and half remains open to market movement. It is expressed as a decimal (0 to 1) or a percentage (0% to 100%). A ratio above 100% means your hedge position is larger than your exposure, which is called an over-hedge and can create risk in the opposite direction.
Three ways to calculate a hedge ratio
The simplest method divides the value of the hedge instrument by the total exposure: h = V_H / V_S. This tells you what fraction of your position is currently hedged, but it does not account for how well the hedge instrument tracks the underlying asset. The optimal hedge ratio corrects for this by weighting the ratio by the relationship between the two instruments: h* = rho x (sigmaS / sigmaF), where rho is the correlation between spot and futures price changes, sigmaS is the standard deviation of the spot price, and sigmaF is the standard deviation of the futures price. A higher correlation and a spot-to-futures volatility ratio near 1 produce an optimal ratio close to 1, meaning a full hedge minimizes variance effectively. The futures-contracts formula converts a target hedge ratio into a tradeable number of contracts: N = (h x V_S) / (F x Q), where F is the futures price and Q is the contract multiplier. Because contracts must be whole numbers, the result is rounded, which introduces a small residual exposure.
Basis risk and why the optimal ratio matters
Basis risk is the risk that the hedge instrument does not move exactly in line with the underlying exposure. Even a seemingly good hedge can underperform if the correlation is lower than expected or if the futures contract tracks a different but related asset (a cross-hedge). The optimal hedge ratio accounts for basis risk explicitly: low correlation reduces the optimal ratio below 1, meaning you should hedge a smaller proportion because the hedge instrument is an imperfect substitute. For example, an airline hedging jet fuel costs with crude oil futures faces basis risk because jet fuel and crude oil prices, while related, are not identical. A correlation of 0.85 and a spot-to-futures volatility ratio of 0.95 would give an optimal hedge ratio of 0.85 x 0.95 = 0.81, meaning hedging 81% of exposure minimizes the variance of costs better than a full hedge would.
Practical limits and what this calculator does not cover
This calculator provides theoretical hedge ratios. In practice, several factors affect real-world hedging outcomes. Rolling costs arise when futures contracts expire and must be replaced, introducing additional transaction costs and potential roll yield gains or losses. Margin requirements mean you must post collateral for futures positions, tying up capital. Liquidity constraints may prevent you from establishing the exact number of contracts indicated. Contract expiry mismatch occurs when the hedge horizon and the contract expiry date differ. None of these are captured here, so treat the output as a starting point for a hedging strategy, not a complete risk management plan.
Hedge ratio interpretation guide
| Hedge ratio | Classification | Practical meaning |
|---|---|---|
| 0% | Unhedged | Full exposure to market movement, maximum upside and downside |
| 1% - 24% | Lightly hedged | Minimal protection, mostly exposed to price movements |
| 25% - 49% | Partially hedged | Moderate protection, significant exposure remains |
| 50% - 74% | Moderately hedged | Majority of downside reduced, some upside preserved |
| 75% - 99% | Well hedged | Strong protection with limited residual exposure |
| 100% | Fully hedged | Complete protection, no upside or downside from price moves |
| Above 100% | Over-hedged | Hedge exceeds exposure, new directional risk introduced |
Common hedge ratio ranges and their practical meaning for portfolio risk management.
Frequently asked questions
What is a good hedge ratio?
There is no single "good" ratio as it depends on your risk tolerance, the cost of hedging, and the quality of the hedge instrument. Commodity producers, airlines, and exporters often target 50% to 80% of their exposure to balance protection against cost. A ratio above 75% is generally considered well hedged. The optimal hedge ratio formula helps you find the theoretically variance-minimizing ratio given the available instrument.
What is the difference between the simple and optimal hedge ratio?
The simple hedge ratio is purely a snapshot: it tells you what percentage of your position is currently covered by a hedge instrument in dollar terms. The optimal hedge ratio uses historical or implied statistics (correlation and volatility) to find the fraction of exposure that minimizes the variance of the hedged portfolio. The optimal ratio will be below 1 whenever the hedge instrument is imperfectly correlated with the underlying asset.
Can the hedge ratio be greater than 1 or negative?
Yes. A ratio above 1 (over-hedge) means your hedge position notionally exceeds your exposure. This can be intentional (a speculative overlay) or accidental (your position size shrank after placing the hedge). A negative optimal hedge ratio can arise when the correlation between spot and futures prices is negative, which is rare in practice and usually signals that the chosen futures contract is not an appropriate hedge instrument.
How do I calculate the number of futures contracts I need?
Use the formula N = (h x V_S) / (F x Q), where h is your target hedge ratio as a decimal, V_S is your exposure in dollars, F is the futures price, and Q is the contract multiplier. Round to the nearest whole number because fractional contracts are not tradeable. The "Futures contracts needed" mode of this calculator does this for you.
What is basis risk?
Basis risk is the risk that your hedge instrument does not move perfectly in line with the asset you are protecting. It arises from differences in location, quality, timing, or the nature of the hedging instrument. For example, hedging a portfolio of small-cap stocks with S&P 500 futures involves basis risk because the two may not move identically. The optimal hedge ratio formula explicitly incorporates correlation to account for basis risk.