CAPM Calculator – Capital Asset Pricing Model

Form

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Results

Risk premium of the asset

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Expected rate of return (R)

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Table of Contents

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What is CAPM Calculator?

The CAPM calculator estimates a return associated with an asset’s systematic market risk under the capital asset pricing model. It combines a risk-free rate, an expected broad-market return and beta. The result is often used as a model-based required return or an input to a valuation exercise; it is not a promise of investment performance.

The page returns both the asset risk premium and the total modeled return. Separating them helps show how much of the answer comes from the risk-free assumption and how much comes from beta times the market premium. All three inputs are assumptions supplied by you. The calculator does not download a current government yield, estimate beta or forecast the market.

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How to Use This Calculator

  1. Enter Risk-free interest rate as a percentage for the chosen time horizon and currency. If using an annual model, make the other return assumption annual as well.
  2. Enter Broad market return as the total expected market return, including the risk-free component. Do not enter a market risk premium in this field unless you first add back the risk-free rate.
  3. Enter Beta as a dimensionless number. A beta of 1 represents market-level exposure in the model; 1.2 is entered as 1.2, rather than 120%.
  4. Choose Calculate and read the two outputs. Asset risk premium is beta times the difference between the market and risk-free rates; expected return adds the risk-free rate back.
  5. Test alternative assumptions transparently. When comparing results, state the market benchmark, beta estimation period and source of the return assumptions rather than presenting a single figure as objectively certain.
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Formula Used

Expected return R = Rf + β(Rm − Rf). Market risk premium = Rm − Rf. Asset risk premium = β(Rm − Rf). Enter Rf and Rm on the same percentage scale.
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Variables Explained

ItemMeaning
Risk-free rate RfThe baseline rate used by the model. Its currency and horizon should be consistent with the valuation or comparison being performed.
Market return RmThe assumed total return of the selected broad market over the matching period. It is distinct from the market risk premium.
Beta βThe asset’s modeled sensitivity to market movements. It is not a measure of every possible investment risk and can depend on the estimation method.
Asset risk premiumThe beta-adjusted premium over the risk-free rate. The controller labels this separately from the full expected return.
Expected return RThe model’s combined return assumption. Its percentage unit follows the percentage scale used for both rate inputs.
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Worked Example

With Rf = 3%, Rm = 8% and beta = 1.2, the market premium is 8 − 3 = 5 percentage points. The asset premium is 1.2 × 5 = 6 percentage points. Adding the baseline gives R = 3 + 6 = 9%.

If beta is 1, the modeled return is 3 + 1 × 5 = 8%, equal to the assumed market return. If beta is zero, the premium term is zero and the model returns the 3% baseline. These are useful arithmetic checks when building a spreadsheet alongside this page.

For a sensitivity example, keep Rf at 3% and beta at 1.2 but change Rm to 10%. The market premium becomes 7 points, the asset premium becomes 8.4 points and the total becomes 11.4%. That change reflects an altered assumption, rather than new evidence generated by the calculator.

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Why Use This Calculator?

CAPM relates the modeled return to market exposure. It does not reward every source of volatility in the same way, and it does not claim that realized returns will equal the output. A security can earn much more or less over a particular period. Treat the number as a conditional model input and state the assumptions that produced it.

Beta is also an estimate rather than a permanent property. The selected benchmark, observation frequency, historical window and business changes can affect the value. A beta copied from one source may not match another source’s method. The form accepts your number without evaluating how it was obtained.

The model does not account explicitly for taxes, transaction costs, changing rates, liquidity constraints or every feature of an investment. A valuation can be sensitive to the required-return assumption, so retain a range of defensible scenarios when appropriate. This page checks the CAPM arithmetic; it does not select a suitable investment or establish a fair price on its own.

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Common Mistakes

    • Do not enter 5 as Rm when you mean a 5-point market premium and Rf is already 3; the total market assumption in that example is 8.
    • Do not enter one rate as a decimal and the other as a percentage. Mixing 0.03 with 8 breaks the intended scale.
    • Do not interpret beta as a percentage or as the probability of a loss.
    • Do not compare an annual expected return with a monthly risk-free rate without converting to a consistent period.
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Frequently Asked Questions

Can beta be negative?

A negative beta can be represented mathematically. With a positive market premium, it subtracts from the risk-free rate in this formula. Whether a particular negative estimate is meaningful depends on the data, benchmark and application.

Is the output a guaranteed annual return?

No. It is a model-based return conditional on the inputs. Realized performance can differ substantially, and the page does not test whether the assumptions are suitable for the asset or investor.

Why are there two return outputs?

One is the premium above the risk-free assumption, and the other is the total after adding that assumption. In the 3%, 8%, beta 1.2 example, the premium is 6 points and the total is 9%.

Does the calculator find beta for me?

No. It has no price-history or benchmark input. Supply a beta from an appropriate analysis and document the method so the final calculation can be assessed in context.

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Sources & References

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