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Calculating Expected Portfolio Return from Asset Weights

Article Quant Q&A · Author: Fred_2
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Summary

The document explains how to calculate a portfolio’s expected return when the expected returns of its component assets and their portfolio weights are known. The method is a weighted sum: multiply each asset’s expected return by its portfolio weight, then add the results. The portfolio’s beta is not needed for this calculation; beta describes market sensitivity, while the weighted expected returns give the portfolio’s expected return under the stated inputs.

The answer provides the formula for a three-asset portfolio but no numerical example, assumptions about how expected returns were estimated, or evidence from performance data. The calculation applies directly when the weights and return estimates use consistent periods and conventions. It does not address uncertainty in those estimates, changing weights, transaction costs, or how to use beta to forecast returns.

Key ideas

  • A portfolio’s expected return is the weighted sum of its assets’ expected returns.
  • Each asset’s expected return is multiplied by its portfolio weight before aggregation.
  • Portfolio beta is not required to compute expected return when asset-level estimates are already available.
  • The calculation depends on consistent weights and return assumptions.

Tags

Multi-assetPortfolio constructionStatistics
Full text
# Portfolio return through beta


# Portfolio return through beta












Considering the beta value of the three assets in my portfolio simulation and the weights of the assets, i have computed the beta of the portfolio itself. How can i calculate the expected return of the portfolio?

(I have also the expected return for each of the three assets)

## Answer by Cettt (score 1, accepted)

https://quant.stackexchange.com/a/37954

The expected return of the portfolio is just the weighted sum of the expected returns of the assets, i.e. $$ R_P = w_1\cdot R_1 + w_2\cdot R_2 + w_3\cdot R_3, $$ where $w_1, w_2, w_3$ are the porfolio weights and $R_1, R_2, R_3$ are the expected returns for the assets.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.