What does a hedge ratio of 0.8 mean in practice?

A hedge ratio of 0.8 means you should short futures with a notional value equal to 80% of your spot exposure to minimize portfolio variance. This is less than a full (1:1) hedge because imperfect correlation between spot and futures means over-hedging would increase, not decrease, risk.

How is hedge effectiveness measured?

Hedge effectiveness equals rho squared (the square of the correlation coefficient between spot and futures price changes). An rho of 0.9 gives hedge effectiveness of 81%, meaning the hedge eliminates 81% of price variance. A perfect hedge (rho = 1) eliminates all variance.

When would you use a cross-hedge instead of a direct hedge?

A cross-hedge uses a futures contract on a related but different asset when no futures market exists for the exact spot exposure - for example, hedging jet fuel exposure with crude oil futures, or hedging a mid-cap equity portfolio with S&P 500 futures. The hedge ratio accounts for the imperfect correlation between the two.

Hedge Ratio Calculator

Calculate the optimal hedge ratio (minimum variance hedge ratio) between a spot position and a futures contract using correlation and standard deviations. Determine how many futures contracts to use.

By AbraCalc Editorial Team · Reviewed by AbraCalc Methodology Review · Last reviewed: 2026-06-25

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How to use this tool

Enter correlation coefficient (ρ), std dev of spot price changes, std dev of futures price changes, value of position being hedged and futures contract size in the fields above.
Results update instantly as you type — or click Calculate.
Read your optimal hedge ratio (h*) and the full breakdown beneath it.

⚠ This tool provides general estimates for education only and is not financial, tax or legal advice. Figures may not reflect your situation — verify with a qualified professional.

Formula

Optimal hedge ratio: h* = ρ × (σ_S / σ_F)

Number of contracts: N* = h* × (V_S / V_F)

Hedge effectiveness: ρ²

How it works

The minimum-variance hedge ratio minimizes the variance of the combined hedged position (spot + futures). It equals the correlation between spot and futures price changes multiplied by the ratio of their standard deviations, which is equivalent to the regression coefficient (beta) from regressing spot price changes on futures price changes. The number of contracts required is the hedge ratio scaled by the ratio of portfolio value to futures contract size.

Worked example

Hedging a $1M portfolio with futures

Correlation (ρ) = 0.85, σ_spot = 0.20, σ_futures = 0.16
h* = 0.85 × (0.20 / 0.16) = 0.85 × 1.25 = 1.0625
Number of contracts = 1.0625 × ($1,000,000 / $50,000) = 1.0625 × 20 = 21.25
Hedge effectiveness = 0.85² = 0.7225 (72.25% of variance eliminated)

Optimal hedge ratio = 1.0625; short approximately 21.25 contracts

Common mistakes to avoid

Using price-level correlations instead of return or price-change correlations to estimate rho: two price series may appear highly correlated simply by trending upward together even when day-to-day changes are unrelated, producing a misleadingly high hedge ratio.
Ignoring the contract multiplier when computing number of contracts: each futures contract covers a specified notional amount (e.g., 1,000 barrels, $250 x index level), and forgetting to divide by this multiplier drastically underestimates the contracts needed.
Treating the hedge ratio as static when it must be dynamically rebalanced: as spot prices, futures prices, and correlations shift over time, the optimal number of contracts changes and the hedge must be adjusted.

Key terms

What is the hedge ratio?: The hedge ratio is the proportion of a position offset by a hedge. The optimal (minimum-variance) hedge ratio minimizes the variance of the hedged portfolio.
Why is correlation important?: Higher correlation between the spot and futures prices means the hedge is more effective, as movements in one are more closely mirrored by the other.
What does hedge effectiveness measure?: Hedge effectiveness (ρ²) represents the proportion of variance in the spot position that is eliminated by the hedge, ranging from 0 (no effectiveness) to 1 (perfect hedge).
When would the hedge ratio exceed 1?: When the spot asset's price changes are more volatile than the futures contract (σ_spot > σ_futures), the hedge ratio will exceed 1, requiring more than one unit of futures per unit of spot exposure.

Frequently asked questions

What does a hedge ratio of 0.8 mean in practice?: A hedge ratio of 0.8 means you should short futures with a notional value equal to 80% of your spot exposure to minimize portfolio variance. This is less than a full (1:1) hedge because imperfect correlation between spot and futures means over-hedging would increase, not decrease, risk.
How is hedge effectiveness measured?: Hedge effectiveness equals rho squared (the square of the correlation coefficient between spot and futures price changes). An rho of 0.9 gives hedge effectiveness of 81%, meaning the hedge eliminates 81% of price variance. A perfect hedge (rho = 1) eliminates all variance.
When would you use a cross-hedge instead of a direct hedge?: A cross-hedge uses a futures contract on a related but different asset when no futures market exists for the exact spot exposure - for example, hedging jet fuel exposure with crude oil futures, or hedging a mid-cap equity portfolio with S&P 500 futures. The hedge ratio accounts for the imperfect correlation between the two.