Hedge ratio

β · (σ_s/σ_f).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

h*
1,0000

About this calculator

The hedge ratio calculator helps determine the optimal proportion between underlying assets and derivatives to mitigate market risks. It is commonly used in hedging strategies, such as futures or options, to balance gains and losses across different scenarios.

The calculation uses the formula: hedge ratio = β × (σ_s/σ_f), where β is the asset's sensitivity (beta), σ_s is the standard deviation of the underlying asset, and σ_f is the standard deviation of the hedging instrument. This adjusts the hedge weight according to the relative volatility of assets.

This tool is useful for investors seeking to protect portfolios against systematic risks, such as exchange rate fluctuations or commodity price swings. For example, an exporter might use it to hedge against currency exchange rate volatility.

Note that the hedge ratio does not fully eliminate risks. Factors like imperfect correlation between assets or sudden market changes can reduce its effectiveness. Always review assumptions and update data periodically.

Frequently asked questions

What is the difference between beta and hedge ratio?

Beta measures an asset's sensitivity to a market index, while the hedge ratio adjusts this relationship based on the relative volatility of assets, indicating the optimal proportion for hedging.

Why is standard deviation used in the calculation?

Standard deviation quantifies historical volatility. Including it ensures the hedge accounts for the magnitude of price swings, not just their direction.

Should the hedge ratio result be applied directly?

The result is a guideline. Adjust it according to liquidity constraints, transaction costs, and specific investment strategy goals.

How do market changes affect the calculation?

Changes in asset correlation or volatility can invalidate the calculated hedge ratio. Regularly review data to maintain its relevance.

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