Hedge Ratio Calculator

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Hedge ratio

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Table of Contents

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What is Hedge Ratio?

This calculator expresses the value of a hedge position as a percentage of the total exposure being hedged. If an exposure is worth $100,000 and the offsetting position is worth $75,000 on a comparable basis, the simple value hedge ratio is 75%. The calculation is useful for describing hedge size, checking an instruction or comparing scenarios.

A value ratio does not measure how effectively the hedge offsets risk. Prices may move by different amounts, contract multipliers may apply, currencies may differ, and basis risk can remain. The currency selectors on the form are labels only: the page performs no exchange-rate conversion. Both entries must therefore already be valued in the same currency, at the same date and on a consistent sign and valuation basis.

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How to Use This Calculator

Enter the positive value of the exposure and the non-negative value of the hedge position. Use absolute values when the purpose is to describe hedge size. The page divides the hedge value by exposure value and multiplies by 100.

  1. Define the risk being hedged, such as a commodity purchase, portfolio value or forecast foreign-currency receipt.
  2. Value the exposure and hedge at the same time and in the same currency.
  3. Include contract multipliers and quantity in the hedge position value.
  4. Calculate the percentage, then check whether the result matches the intended coverage.
  5. Assess sensitivity, correlation, basis, timing and liquidity separately before judging hedge quality.

Selecting USD for one field and EUR for the other does not translate either amount. Convert first using an appropriate rate. For futures, a minimum-variance hedge commonly uses a different formula involving covariance or correlation and volatility; this simple page does not estimate that optimal ratio or a contract count.

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Formula Used

Simple hedge ratio (%) = hedge position value ÷ total exposure value × 100

The denominator must be greater than zero. A hedge position of zero produces 0%. Equal values produce 100%. A position larger than the stated exposure produces more than 100%, indicating over-hedging by this value measure.

For comparison, a statistical minimum-variance ratio is often written h* = ρ × σS ÷ σF, where ρ is correlation and σ values are spot and futures-return volatility. The number of futures contracts may then use h*, exposure quantity and contract size. Those data are not collected here, so the output should be called a simple value ratio rather than an optimal hedge.

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Variables Explained

ItemRequired basisMeaning
Total exposurePositive valueCurrent value of the position or transaction whose risk is being offset.
Hedge positionNon-negative valueComparable value of the offsetting instrument, including quantity or multipliers.
CurrencySame for bothValuation currency; the selectors do not perform foreign-exchange conversion.
Valuation dateSame date/timeKeeps numerator and denominator comparable as markets move.
Hedge ratioPercentHedge value divided by exposure value; it is not hedge effectiveness.
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Worked Example

A company expects to receive EUR 200,000 and has entered an offsetting position with a comparable current value of EUR 150,000. The simple ratio is 150,000 ÷ 200,000 × 100 = 75%. On this value basis, the hedge position is three quarters of the stated exposure.

If the hedge were quoted as USD 162,000 while the exposure remained EUR 200,000, dividing the raw figures would be invalid. One side must first be translated to the other currency using a rate and valuation time appropriate to the analysis. Even with a 75% value ratio, the actual change in hedge value may offset more or less than 75% of the exposure’s change because sensitivities and basis differ.

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Why Use This Calculator?

Zero percent means no hedge value was entered. A result below 100% describes a partial hedge; 100% means equal stated values; above 100% describes a hedge value larger than the exposure. These labels describe size only. An over-100% ratio can create net exposure in the opposite direction if positions respond similarly, but the exact risk depends on instrument behavior.

Hedge effectiveness asks how changes in the hedging instrument offset changes in the hedged item. That requires more than notional or market values. Delta, duration, beta, commodity grade and location, maturity mismatch, option convexity, exchange rates, correlations and transaction costs can all matter. Accounting designation and effectiveness testing also follow applicable reporting standards and documentation, which this percentage does not address.

Recalculate when exposure value, hedge value or exchange rates change. For a material decision, define the objective and risk metric first and seek qualified financial, accounting or risk advice as appropriate. The output is arithmetic information, not a recommendation to trade.

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Common Mistakes

    • Using different currencies without converting one value.
    • Assuming the currency dropdown fetches live exchange rates.
    • Omitting futures contract size, quantity or an option’s sensitivity.
    • Calling the simple value ratio an optimal or minimum-variance hedge ratio.
    • Equating 100% notional coverage with perfect risk offset.
    • Mixing values from different dates or market closes.
    • Using a zero exposure denominator or a negative amount without defining signs.
    • Ignoring basis, maturity and liquidity risks.
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Frequently Asked Questions

What does a 100% hedge ratio mean here?

The entered hedge value equals the entered exposure value. It does not guarantee that gains and losses will offset exactly.

Can the two values use different currencies?

No. Convert both to one currency and valuation time first; the currency selectors do not perform conversion.

Can the result be above 100%?

Yes. It means the hedge value exceeds the stated exposure value on this simple basis.

Is this an optimal hedge ratio calculator?

No. It does not use return correlation, volatility, beta, duration or instrument sensitivity.

How do contract multipliers affect the input?

Include contract quantity and multiplier when finding the hedge position value; entering only a quoted price understates the position.

Why can a 100% value hedge still leave risk?

The exposure and hedge may respond differently because of basis, timing, sensitivity, currency or liquidity differences.

How often should the ratio be recalculated?

Recalculate when the exposure, hedge position or relevant exchange rates change materially, according to the hedging policy.

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Sources & References

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