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Theoretical return — CAPM Return Relation Calculator

CAPM Return Relation: Calculate theoretical return from Assumed risk-free rate, Beta coefficient, Assumed market return. Check the formula, input units and worked result on this page.

Enter your values

%
Formula symbol: riskfree. Enter the percentage as a number: for 15%, enter 15. Allowed range: -99–100.
Formula symbol: beta. Enter a numeric value. Allowed range: -10–10.
%
Formula symbol: market. Enter the percentage as a number: for 15%, enter 15. Allowed range: -100–100.

Use a decimal point, without thousands separators.

Rates refer to the same period. Beta, market return and risk-free rate are user assumptions; historical data and forecasts are not verified.
Example result
Theoretical return
10 %

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

CAPM expresses theoretical return as the risk-free rate plus beta times the market premium. This form solves for theoretical return; enter the known quantities in Assumed risk-free rate, Beta coefficient, Assumed market return.

Inputs and units
Theoretical return — CAPM Return Relation Calculator · Inputs and units
InputExample valueWhat to enter
Assumed risk-free rate4 %Formula symbol: riskfree. Enter the percentage as a number: for 15%, enter 15. Allowed range: -99–100.
Beta coefficient1Formula symbol: beta. Enter a numeric value. Allowed range: -10–10.
Assumed market return10 %Formula symbol: market. Enter the percentage as a number: for 15%, enter 15. Allowed range: -100–100.
expected = (riskfree + (beta * (market - riskfree)))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Assumed risk-free rate
4 %
Beta coefficient
1
Assumed market return
10 %

Complete example results

Theoretical return
10 %

Reading the result

The result solves for theoretical return from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the theoretical return result?

Rates refer to the same period. Beta, market return and risk-free rate are user assumptions; historical data and forecasts are not verified.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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