CAPM Expected Return Calculator United States

This CAPM calculator estimates an asset's expected return with the Capital Asset Pricing Model: enter the risk-free rate, beta and market return.

CAPM Expected Return Calculator United States
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Expected return —
Market risk premium —
Asset risk premium —

We always strive to use the latest data for every variable so our results and reports are as accurate as possible. Even so, errors are possible — you should not rely on this tool or its report alone, and we accept no liability for any decision made based on it.

What it does

The CAPM Expected Return Calculator estimates the return an investor should require on an asset, given its risk relative to the market, using the Capital Asset Pricing Model.

Data sources & parameters

This calculator uses standard financial formulas and runs entirely in your browser. It needs no external rate data — your result is computed only from the values you enter above.

We always strive to use the latest data for every variable so our results and reports are as accurate as possible. Even so, errors are possible — you should not rely on this tool or its report alone, and we accept no liability for any decision made based on it.

The formula

E(R) = Rf + Beta x (Rm - Rf)

How it works

It adds the risk-free rate to the asset's beta multiplied by the market risk premium, the amount the market is expected to return above the risk-free rate.

Where it is used

  • Estimating a required rate of return
  • Setting a discount rate for valuation
  • Comparing expected returns across assets with different betas

Worked example

With a 4% risk-free rate, a beta of 1.2, and a 10% expected market return, the market risk premium is … and the CAPM expected return is ….

What the CAPM calculator does

The CAPM expected return calculator estimates the return an investor should require on an asset, given how risky it is compared with the broad market. It uses the Capital Asset Pricing Model, a standard framework in finance courses, to combine three inputs (the risk-free rate, the asset’s beta and the expected market return) into one expected return.

The model pays investors for two things: the time value of money, measured by the risk-free rate on a safe government security, and the risk they bear, measured by a premium that scales with how much the asset amplifies market movements. The calculator adds the two to give the return you should expect before committing capital.

The CAPM formula

  • Expected return = Risk-free rate + Beta x (Market return – Risk-free rate)

The term in parentheses is the market risk premium, the extra return investors expect for holding the market portfolio instead of a risk-free asset. Beta scales that premium to the specific asset: a high-beta asset gets a larger share because it carries more market risk, and a low-beta asset gets a smaller share.

The calculator shows the market risk premium and the asset’s own risk premium separately. The asset risk premium plus the risk-free rate is the expected return.

Understanding beta

Beta measures how sensitive an asset’s returns are to movements in the overall market. A beta of 1.0 means the asset tends to move in line with the market. A beta of 1.5 means it tends to move one and a half times as much, rising more in up markets and falling more in down markets. A beta below 1.0 signals a more defensive asset, and a negative beta describes an asset that tends to move the opposite way, which can help with diversification.

Because beta drives the risk premium, small changes in it can change the expected return noticeably. Published betas are estimates from historical data and vary by data provider and time window, so check a couple of sources and consider a range.

The risk-free rate and market return

The risk-free rate is the return available with essentially no default risk. Investors use the yield on U.S. Treasury securities as a proxy, matching the maturity to their horizon: a short-term Treasury yield for a short holding period, a longer-dated yield for a long-term valuation.

The expected market return is what you anticipate from a broad market portfolio, such as a large index fund, over your horizon. It is an estimate, and investors disagree about it; some use long-run historical averages, others forward-looking models. Since the market risk premium is this figure minus the risk-free rate, your market assumption feeds directly into the result.

How to use the result

As a hurdle rate, the CAPM return is the minimum that compensates you for the asset’s risk; if you expect the asset to return less, the model says it is not paying enough for that risk. As a cost of equity, it is the discount rate analysts use to convert an asset’s future cash flows into a present value, so a higher required return lowers that value.

To compare assets, enter each one’s beta with the same risk-free rate and market return. Under the model, a higher expected return always comes with higher market sensitivity.

Limitations

CAPM assumes markets are efficient, that beta captures all relevant risk, and that investors care only about market risk. In practice, factors such as size, value, momentum and liquidity affect returns in ways one beta does not capture, and betas change over time. The model also depends on a forecast of the market return, which no one knows in advance.

Treat the output as a transparent benchmark, not a forecast. It makes you state your assumptions about risk and return and gives a consistent way to compare assets, so use it alongside other analysis. Update your inputs when yields move or your view of the market changes.

This is general information only and not investment advice. Confirm your assumptions and consult a qualified professional before making investment decisions.

About This CAPM Calculator

Use this CAPM calculator to get an instant estimate based on the figures you enter. Adjust the inputs above to match your situation, or browse all our calculators to plan your next step.

Frequently asked questions

What does the CAPM calculator do?
It applies the Capital Asset Pricing Model to estimate the return an investor should require on an asset, based on the risk-free rate, the asset's beta, and the expected market return.
What is the CAPM formula?
Expected return equals the risk-free rate plus beta multiplied by the market risk premium: E(R) = Rf + Beta x (Rm – Rf). The market risk premium is the market return minus the risk-free rate.
What is beta?
Beta measures how much an asset moves relative to the overall market. A beta of 1 moves with the market, above 1 is more volatile, below 1 is less volatile, and a negative beta tends to move opposite the market.
What should I use for the risk-free rate?
Investors commonly use the yield on a short-term or long-term U.S. Treasury security as a proxy for the risk-free rate. Match the maturity to your investment horizon.
Can I use CAPM as a discount rate?
Yes. The CAPM expected return is often used as the cost of equity in valuation models, as the discount rate applied to an asset's expected future cash flows.
Is my data private?
Yes. The calculation runs entirely in your browser, so nothing you enter is uploaded, stored, or shared.

About the author

Taha Kheirandish

Written and reviewed by

Taha Kheirandish

Economics student and independent researcher

Taha Kheirandish reads tax codes the way other people read maps — to find out where a system actually leads, not where it claims to go.

He is an economics student, and his work here is comparative by design. A pension deferral bonus in Quebec, a commuting allowance in Germany, a rent-increase ceiling in the Netherlands: each is a decision a government made about how money should move, and each reads differently once you set it beside eight others. He builds and checks these calculators across nine markets from primary sources — the regulation rather than a summary of it, the ministry’s own circular rather than a news item quoting it.

That is the editorial standard of the site as well as his habit. Every rate, threshold and bracket here carries the document it was read from and the date it takes effect, and gets re-checked when the law moves rather than when someone happens to notice.

He is a researcher, not a licensed adviser, and nothing on this site is personal financial advice. It is arithmetic done carefully with its sources shown — so that you can check it, and take it to someone who is.

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