What is the beta for a company with a 12% expected return, while treasury bills are yielding 5% and the market risk premium is 7%

The beta for the company is 1.

Explanation:

A beta is the measure of systematic risk associated to a stock or the portfolio. Systematic risk is the market risk that affects all the stocks in the market due to factors that are uncontrollable. Such a risk is what the companies compensate the investors for. Using the CAPM equation, we calculate the expected rate of return of a stock. The equation is,

r = rRF + Beta * rpM

Where,

We already have the values for r, rRF and rpM. Plugging them in the formula, we calculate the beta to be,

0.12 = 0.05  +  Beta * 0.07

0.12 - 0.05 = Beta * 0.07

0.07/ 0.07 = Beta

Beta = 1

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