Hedge Ratio Calculator

The hedge ratio calculator measures how much of an exposure is covered by an offsetting hedge position. It is deliberately simpler than an optimal hedge model. You enter total exposure and hedge position, both as dollar values. The calculator divides hedge position by total exposure, formats the ratio as a percentage, and then shows how much exposure remains unhedged or how much the hedge exceeds the exposure.

This makes the result useful for quick risk-control checks. A treasurer can compare a currency forward with a forecast foreign-currency receipt. A commodity producer can compare futures coverage with expected production value. A portfolio manager can compare an index-futures overlay with an equity sleeve. In each case, the key question is the same: what share of the measured exposure is offset by the hedge position?

If you need a volatility-based hedge, use the Optimal Hedge Ratio Calculator. If a hedge changes market sensitivity, compare the before-and-after exposure with the Portfolio Beta Calculator. For performance review after a hedge is in place, the Information Ratio Calculator can help evaluate benchmark-relative outcomes.

Informational, not investment advice.

What the calculator measures

The calculator’s hedge ratio is exposure to hedge divided by value of position in the sense specified for this batch: the value of the hedge position divided by the value of the underlying position or exposure being protected. It accepts a positive total exposure and a nonnegative hedge position. If total exposure is zero or negative, the calculation is invalid because there is no meaningful denominator.

The output includes three supporting amounts. Hedged exposure is the hedge position you entered. Unhedged exposure is total exposure minus hedge position, but never less than zero. Over-hedged amount is hedge position minus total exposure, but never less than zero. These floor rules exactly match the calculation method, so an over-hedged position shows zero unhedged exposure and a positive over-hedged amount rather than a negative unhedged value.

Formula

The core formula is:

$\text{hedge ratio} = \frac{\text{hedge position}}{\text{total exposure}}$

The calculator formats that decimal as a percentage:

$\text{hedge ratio percent} = \text{hedge ratio} \times 100$

It also computes remaining unhedged exposure:

$\text{unhedged exposure} = \max\left(\text{total exposure} - \text{hedge position}, 0\right)$

And over-hedged amount:

$\text{over-hedged amount} = \max\left(\text{hedge position} - \text{total exposure}, 0\right)$

Worked example

Use the default inputs: total exposure of $1,000,000 and hedge position of $375,000.

The hedge ratio is:

$\text{hedge ratio} = \frac{\$375{,}000}{\$1{,}000{,}000} = 0.375$

The calculator displays 37.5 percent. Unhedged exposure is $1,000,000 minus $375,000, or $625,000. Over-hedged amount is the maximum of $375,000 minus $1,000,000 and zero, so it is $0. The note says 37.5 percent of the exposure is offset by the hedge position.

Now change the hedge position to $1,200,000 while total exposure stays $1,000,000. The ratio becomes 120 percent. Unhedged exposure is floored at $0, and over-hedged amount becomes $200,000. The note changes because the hedge position is larger than the exposure, creating a 20 percent over-hedge.

How practitioners use hedge ratios

A simple hedge ratio is a dashboard metric. It helps people see whether a hedge program is close to its policy target. For example, a company may decide to hedge 50 percent of forecast commodity purchases for the next quarter. A pension plan may compare an interest-rate hedge notional with the liability exposure it is intended to offset. A fund may track whether index futures cover a desired share of equity beta during a transition.

The number must be tied to the correct exposure definition. Futures notional, option delta-adjusted exposure, forward contract value, and cash market value are not always interchangeable. A hedge that looks like 100 percent by notional may cover much less economic risk if the hedge instrument and exposure do not move together. That mismatch is basis risk, and it is one reason a simple hedge ratio should be reviewed alongside correlation, volatility, and contract details.

Limitations and common mistakes

This calculator does not estimate the minimum-variance hedge ratio. It does not account for correlation, volatility, option Greeks, convexity, margin, liquidity, taxes, or roll costs. It also does not decide whether a higher hedge ratio is better. More hedging can reduce downside from the targeted risk, but it can also reduce upside, introduce cash-flow demands, and create losses if the hedge instrument diverges from the exposure.

Avoid mixing dates. If exposure is measured at today’s market value but the hedge position uses yesterday’s settlement price, the ratio can be stale. Avoid comparing gross exposure with net hedge value unless that is the intended policy measure. Above all, do not treat a neat percentage as proof of safety. A hedge ratio tells you size, not hedge quality.

Sources

• NYU Stern, Aswath Damodaran, Estimating Risk Parameters — broader context for volatility, correlation, and market-risk measurement.
• CFTC, Futures Market Basics — regulator education on futures used for hedging and risk management.