Portfolio Risk Estimator

The Portfolio Risk Estimator calculates expected return and volatility for a two-asset portfolio using asset weights, individual volatility estimates, and correlation. It also shows a simple return-to-risk ratio using a user-entered risk-free rate. The key benefit is seeing how correlation changes portfolio volatility. Two risky assets can produce lower combined volatility when their returns do not move together, but the estimate remains dependent on historical or assumed inputs.

Calculator inputs

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Result
Estimated annual portfolio volatility
Asset B weight
Expected return
Portfolio volatility
Return-to-risk ratio

1. Set the first asset weight

Asset B automatically receives the remainder to total 100%.

2. Enter return assumptions

Use expected annual returns for both assets.

3. Enter annual volatility

Use standard deviation estimates expressed as percentages.

4. Add correlation

Enter a value from -1 to 1 describing how the assets move together.

5. Interpret the combined risk

Compare portfolio volatility with each asset and review the return-to-risk ratio cautiously.

Expected return = wA × rA + wB × rB

Portfolio variance = wA²σA² + wB²σB² + 2wAwBσAσBρ

Portfolio volatility = square root of portfolio variance

ρ is correlation and must be between -1 and 1.

What the result means

Use the result as an estimate based on the values and assumptions entered.

Changing an input updates the result automatically.

Given: 60% in Asset A with 8% return and 15% volatility; 40% in Asset B with 4% return and 7% volatility; correlation 0.20.

Calculation: Expected return = 0.60 × 8% + 0.40 × 4% = 6.4%. The covariance term is included in the variance formula.

Result: Estimated portfolio volatility is about 10.0%.

What does volatility measure?

It estimates the dispersion of returns, not the maximum possible loss.

Why does correlation matter?

Lower correlation can reduce combined volatility even when both assets are individually risky.

Can correlation change over time?

Yes. Correlations can rise during stressed markets, reducing diversification benefits.

Is this suitable for more than two assets?

No. It is a two-asset model; larger portfolios require a covariance matrix.

Does a higher return-to-risk ratio guarantee a better investment?

No. It is only one summary measure and depends on uncertain assumptions.