CAPM Calculator

The Capital Asset Pricing Model (CAPM) is an extremely popular model to estimate the expected return of a firm considering the market conditions, the risk free level of return and the risk of a company.

What is the formula for the CAPM model?

The CAPM formula is very intuitive. It indicates that the expected return an investor should expect from a specific firm corresponds the risk free return, plus an amount that is proportional to the market premium. The proportionality constant is simply the beta of the company .

Mathematically, this is written as follows:

$$r_s = r_f + \beta (r_M - r_f)$$

where $r_f$ is the risk-free return (usual the government bonds), $\beta$ is the beta of the company (measuring its risk with respect to the market) and $r_M - r_f$ is the market risk premium.

Example of CAPM calculation?

Assume you have a stock that has a beta of 1.5, and that the risk-free return is 3%. Also, the return of the market is 8%. What is the expected return of the firm?

We have to use the CAPM model formula:

$$r_s = r_f + \beta (r_M - r_f)$$ $$= 3$$ $$= 3$$ $$= 3$$ $$= 10.5$$