Expected Return (ER) Of a Portfolio | Calculation and Limitations (2024)

An expected return, or ER, is the return that is expected on an investment.

It is the total amount of money you can expect to gain or lose on an investment with a predictable rate of return. An expected return is often expressed in percentages, with positive returns representing profits and negative returns representing losses.

Expected returns are used in capital budgeting to compare the profitability of investments with different cash flows over time.

They are used by investors seeking to determine whether an investment is worthwhile based on their required rate of return. It allows people who are diversifying their investment portfolios to choose investments that will work best for them.

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The Formula of Expected Return of a Portfolio

Expected Return (ER) Of a Portfolio | Calculation and Limitations (1)

Where: R = Rate of return The rate of return is a calculation that estimates the annual return on an investment over a given period. Essentially, the calculations estimate how much you would have earned or lost had you invested in some asset.

The rate of return can be either positive or negative.

W = Asset weight Asset weight is the percentage of an investment's value that is represented by a particular asset.

It is used in calculations of expected return to determine the weighted average rate of return.

Sample Computation for Expected Return

To find the ER for a portfolio, sum up each position's ER and then weight it by the position's percentage of the portfolio.

For example, if you have a portfolio that is made up of 50% stocks and 50% bonds, and the expected return on stocks is 10%, and the expected return on bonds is 5%, then your expected return would be calculated as:

Expected Return (ER) Of a Portfolio | Calculation and Limitations (2)

The same calculation is done if you have 3 or more assets in the portfolio. Let us take another example of an investment with 5 stocks in the portfolio. The rate of return and weight for each stock are as follows: Stock A

  • Rate of return = 20%
  • Weight =10%

Stock B

  • Rate of return = 10%
  • Weight = 20%

Stock C

  • Rate of return = 8%
  • Weight = 30%

Stock D

  • Rate of return = 6%
  • Weight = 20%

Stock E

  • Rate of return = -4%
  • Weight = 10%

The rate of return for the entire portfolio would be calculated as follows:

Expected Return (ER) Of a Portfolio | Calculation and Limitations (3)

Limitations of Expected Return

An expected return is not a guarantee; it is an estimate of what you can expect to earn on an investment.

Actual rates of return may be different than estimated, and you may lose money on an investment. It is also important to note that expected returns are based on historical data, and past performance is not always indicative of future results.

The estimated return for investment may change over time as the market conditions change.

In addition, because expected returns are calculated using weighted averages, they can be impacted by the inclusion or exclusion of a particular asset.

For example, if an investment has a high rate of return but is only a small part of the portfolio, its impact on the overall expected return will be limited. Therefore, it is important to use caution when interpreting and using expected returns as an indicator of investment performance.

While they provide a useful tool for comparison, they should not be the only factor considered when making investment decisions.

The Importance of Diversification in Your Portfolio

Diversifying your investment portfolio is one of the most important things you can do to protect your investments.

When you spread your money out among different types of investments, you reduce your risk of losing money if anyone's investment performs poorly.

Diversification also helps to ensure that you will not lose all your money if a single investment goes bankrupt. Investing in a portfolio of different types of assets is one way to achieve diversification. However, it is important to remember that not all asset categories are created equal.

For example, investing in stocks and bonds is considered more conservative than investing in technology stocks. And while real estate may be a safe investment, it is not nearly as profitable as investing in stocks and bonds.

Therefore, it is important to perform your due diligence and learn about an investment before investing in it.

This way, you will feel more confident when making investment decisions and better identify potential risks and rewards.

Final Thoughts

An expected return is a key tool in helping you make wise investment choices.

As long as you understand the limitations of an expected return, it can be a helpful way to compare investments and see which ones are likely to provide the biggest returns over time.

However, because diversification helps reduce risk and prevent losses that one investment might cause, it is important to remember that it should be one of the key factors you consider when making investment decisions.

And finally, always remember to do your own research before investing in any asset, as past performance is not always indicative of future results.

Expected Return (ER) of a Portfolio FAQs

An expected return of a portfolio is the weighted average rate of return for all the assets in the portfolio. The weights represent the proportion invested in each asset in the entire investment portfolio and can be found by simply multiplying each asset's rate of return with its corresponding percentage.

The expected return of a portfolio is the sum of all the assets' expected returns, weighted by their corresponding proportion.

Expected Rate of Return (ERR) = (R1 x W1) + (R2 x W2) .. (Rn x Wn) Where R is the rate of return and W is the asset weight.

Expected returns are not a guarantee, and actual rates of return may vary from the expected rate. Expected returns can also change over time as market conditions change, and the inclusion or exclusion of an asset in the portfolio will affect its overall expected return.

Yes, diversification is an important factor when it comes to Expected Return. Diversifying your investment portfolio is one of the most important things you can do to protect your investments. When you spread your money out among different types of investments, you reduce your risk and protect yourself against potential losses due to the performance of any one investment. Additionally, diversifying helps to ensure that you will not lose all your money if a single investment goes bankrupt.

Expected Return (ER) Of a Portfolio | Calculation and Limitations (4)

About the Author

True Tamplin, BSc, CEPF®

True Tamplin is a published author, public speaker, CEO of UpDigital, and founder of Finance Strategists.

True is a Certified Educator in Personal Finance (CEPF®), author of The Handy Financial Ratios Guide, a member of the Society for Advancing Business Editing and Writing, contributes to his financial education site, Finance Strategists, and has spoken to various financial communities such as the CFA Institute, as well as university students like his Alma mater, Biola University, where he received a bachelor of science in business and data analytics.

To learn more about True, visit his personal website or view his author profiles on Amazon, Nasdaq and Forbes.

Expected Return (ER) Of a Portfolio | Calculation and Limitations (2024)

FAQs

Expected Return (ER) Of a Portfolio | Calculation and Limitations? ›

An expected return is calculated by multiplying potential outcomes by the odds of them occurring and then totaling these results. Expected returns cannot be guaranteed. The expected return for a portfolio containing multiple investments is the weighted average of the expected return of each of the investments.

How do you calculate the expected return on a portfolio? ›

The expected return is calculated by multiplying the weight of each asset by its expected return. Then add the values for each investment to get the total expected return for your portfolio. Hence, the formula: Expected Portfolio Return = (Asset 1 Weight x Expected Return) + (Asset 2 Weight x Expected Return)...

How do you calculate expected excess return of a portfolio? ›

How do you calculate excess return? In order to calculate excess returns, subtract the returns on a risk-free investment from the returns on an investment and that will equal the excess returns. The formula is: Excess returns = Returns on investment - Returns on a risk-free investment.

How to calculate ERR? ›

To calculate the expected rate of return on a stock or other security, you need to think about the different scenarios in which the asset could see a gain or loss. For each scenario, multiply that amount of gain or loss (return) by its probability. Finally, add up the numbers you get from each scenario.

How do we calculate the expected return on a portfolio quizlet? ›

Expected return on a portfolio is calculated as the summation of weight for each asset multiplied by expected return on asset.

What is an example of expected return? ›

Expected return calculations are a key piece of both business operations and financial theory, including in the well-known models of the modern portfolio theory (MPT) or the Black-Scholes options pricing model.12 For example, if an investment has a 50% chance of gaining 20% and a 50% chance of losing 10%, the expected ...

How to calculate portfolio return and risk? ›

To calculate the risk in the portfolio, you can use the formula: σ P = w A 2 ⋅ σ A 2 + w B 2 ⋅ σ B 2 + 2 ⋅ w A ⋅ w B ⋅ σ A ⋅ σ B ⋅ ρ A B where: - stands for the portfolio risk, - and are the weights of investment in asset A and asset B, - and are the standard deviations of returns of asset A and asset B respectively, - ...

What is the expected return for a stock that has a beta of 1.5 if the risk-free rate is 6% and the market rate of return is 11%? ›

The expected rate of return is 13.5% calculated as (6%+1.5*(11%-6%)). The return on this stock is higher than the market rate of return of 11% as the beta i.e. the expected volatility of the stock is higher than 1.…

How to calculate the expected return? ›

The expected return is calculated by multiplying the probability of each possible return scenario by its corresponding value and then adding up the products. The expected return metric – often denoted as “E(R)” – considers the potential return on an individual security or portfolio and the likelihood of each outcome.

What is err and how to calculate it? ›

One needs to calculate this by dividing the value of each chosen asset by the total value of the portfolio. For example, in case one's portfolio is worth INR 50,000. A single asset in it is worth INR 18,000. This asset's weight in the portfolio would be 36 percent.

How to calculate the expected return of a portfolio in Excel? ›

In column D, enter the expected return rates of each investment. In cell E2, enter the formula = (C2 / A2) to render the weight of the first investment. Enter this same formula in subsequent cells to calculate the portfolio weight of each investment, always dividing by the value in cell A2.

What is a reasonable return on portfolio? ›

A good return on investment is generally considered to be around 7% per year, based on the average historic return of the S&P 500 index, adjusted for inflation. • The average return of the U.S. stock market is around 10% per year, adjusted for inflation, dating back to the late 1920s.

What is the best way to calculate the rate of return? ›

There must be two values that are known to calculate the rate of return; the current value of the investment and the original value. To calculate the rate of return subtract the original value from the current value, divide the difference by the original value, then multiply by 100.

What is the difference between expected return and required return? ›

Expected return is the expected holding-period return for a stock in the future based on expected dividend yield and the expected price appreciation return. Required return is the minimum level of expected return that an investor requires over a specified period of time, given the asset's riskiness.

What is the formula for calculating expected return? ›

The expected return is calculated by multiplying the probability of each possible return scenario by its corresponding value and then adding up the products. The expected return metric – often denoted as “E(R)” – considers the potential return on an individual security or portfolio and the likelihood of each outcome.

How do you calculate the expected return for the two stocks? ›

How to calculate expected return
  1. Determine the probability of each return that might occur. ...
  2. Determine the expected return for each possible return. ...
  3. Multiply each expected return by its corresponding percentage (weight) ...
  4. Add each of the products together to find the weighted average expected return.
Oct 22, 2023

What is the expected return on an equally weighted portfolio? ›

Calculating the Expected Return of the Portfolio:

Multiply each individual expected stock return by the assigned weight (an equally weighted portfolio of three stocks equal 0.33 or 1/3 for each stock). Sum the products for the expected return.

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