Question

According to the capital asset pricing model, the expected return on a security is: Group of answer choices positively and linearly related to the security's variance. positively and non-linearly related to the security's variance. positively and linearly related to the security's beta. positively and non-linearly related to the security's beta.

Answer 1

Answer:

e. the expected return on a security is positively and linearly related to the security's beta.

Explanation:

As per CAPM: Expected return (ER) = Rf + \beta (Rm - Rf)

Lets assume risk free return (Rf) as 5%, \beta as 2 and expected market return (Rm) as 10%

then, ER = 5% + 2 (10% - 5%) = 15%

However if lets assume all the other factors remain the same and \beta increases to 3

then, ER = 5% + 3 (10% - 5%) = 20%

Similarly if \beta reduces to 1

then, ER = 5% + 1 (10% - 5%) = 10%

So higher the \beta higher is the risk and hence higher the expected return. Hence expected return on a security is positvely and linearly related to the security's beta