Question

You have been managing a $5 million portfolio that has a beta of 1.25 and a required rate of return of 12%. The current risk-free rate is 5.25%. Please answer the following three questions: What is the market risk premium from the CAPM

Answer 1

1.

Required rate = risk free rate + beta (market rate – risk free rate)

.12 = 0.0525 + 1.25(X – 0.0525)

1.25X – 0.065625 = .12 – 0.0525

1.25X = 0.0675 + 0.065625

X = .1333125/1.25

= 0.1065

Marker risk premium = market rate – risk free rate

= .1065 – 0.0525

= 0.054 (A)

2.

Beta of portfolio = (5000000/5500000)* 1.25 + (500000/5500000)* 1

= 0.90909* 1.25 + 0.090909* 1

= 1.136 + 0.090909

= 1.2273

3.

Required rate = risk free rate + beta (market rate – risk free rate)

= 0.0525 + 1.2273* 0.054

= 0.0525 + 0.06627

= .11877 or 11.88%