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Optimal Hedge Ratio Calculator

Calculate the minimum-variance hedge ratio using historical price volatility and correlations.

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Calculation Parameters

Specify your inputs below.

Calculated Result

Optimal Hedge Ratio (h*) 0.7286
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Expert Tip

The optimal hedge ratio represents the proportion of physical exposure that should be covered with derivatives to minimize variance.

How this Calculator Works

This calculator computes the optimal hedge ratio (minimum variance hedge ratio) to protect against spot market price changes using futures contracts. By analyzing asset price volatility and correlation, it determines the exact contract size needed to offset maximum price movements. Portfolio managers use it for hedging.

Formula & Methodology

h* = Correlation Coefficient * (Spot Price Volatility / Futures Price Volatility) - h* is the optimal hedge ratio. - Correlation Coefficient is the correlation between spot and futures prices. - Spot Price Volatility is the standard deviation of changes in the spot price. - Futures Price Volatility is the standard deviation of changes in the futures price.

Step-by-Step Calculation Example

Here is a step-by-step example showing how the calculations are performed:

A fund wants to hedge a stock portfolio using index futures. Spot volatility is 12%, futures volatility is 15%, and their correlation is 0.85. 1. Divide spot volatility by futures volatility: 0.12 / 0.15 = 0.80. 2. Multiply by correlation: 0.85 * 0.80 = 0.68. Result: The optimal hedge ratio is 0.68, indicating 68% of the stock portfolio value should be hedged with index futures.

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Detailed Insights & Expert Guide

ℹ️ About this Calculation

This investment analytics calculator evaluates portfolio yield, compounding growth, risk-adjusted returns, present/future asset valuations, and capital growth metrics based on CFA and modern portfolio theory (MPT) principles.

Variable Glossary

Input

Investment Parameters

Initial principal, periodic contribution, interest rate, discount factor, holding period, or asset price inputs.

Parameter

Performance Metrics

Compound Annual Growth Rate (CAGR %), Net Present Value (NPV), Internal Rate of Return (IRR), or Sharpe ratio.

How to Calculate Step-by-Step

1

Step 1

Enter your initial investment capital, asset purchase prices, or cash flow streams.

2

Step 2

Set compounding frequency, discount rate, or benchmark risk-free rate factors.

3

Step 3

Review calculated total return value, annualized growth %, or risk-adjusted alpha/beta statistics.

FAQ

How does compounding frequency impact investment returns?
More frequent compounding (e.g. monthly or daily vs. annually) generates higher effective annual yields (APY) because interest is calculated on accumulated interest earlier in the period.
What is the difference between Sharpe Ratio and Sortino Ratio?
The Sharpe ratio divides excess return by total standard deviation (both upside and downside volatility), whereas the Sortino ratio divides excess return by downside deviation only.
Should investment calculators replace professional wealth management?
No. Investment calculators model financial mathematics under assumed growth rates. Actual market performance fluctuates, so consult a licensed financial planner (CFP) or RIA for personalized advice.