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Assumed market return — CAPM Return Relation Calculator

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

Enter your values

%
Formula symbol: expected. Enter the percentage as a number: for 15%, enter 15. Allowed range: -100–100.
%
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.

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
Assumed market 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 assumed market return; enter the known quantities in Theoretical return, Assumed risk-free rate, Beta coefficient.

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

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.

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

Complete example results

Assumed market return
10 %

Reading the result

The result solves for assumed market 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 assumed market 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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