Question

Your portfolio has a beta of 1.75. The portfolio consists of 17 percent U.S. Treasury bills, 31 percent Stock A, and 52 percent Stock B. Stock A has a risk level equivalent to that of the overall market. What is the beta of Stock B?

Answer 1

Answer: 2.77

Explanation:

Portfolio Beta is the Weighted Average Beta of all the individual stocks in a portfolio.

Seeing as the other betas and proportions are given, we can plug this into a formula to find out the beta of stock B.

In case you do not see a beta for the U.S. Treasury bills that's fine because beta is a measure of risk and U.S. Treasury bills have NONE so that means that their better is 0.

And if you are wondering what the beta of stock A is, the answer is 1 because that is the beta of the overall market by definition.

Creating a formula therefore we have,

1.75 = 0.17(0) + 0.31(1) + 0.52x

0.52x = 1.75 - 0.31

0.52x = 1.44

x = 2.76923076923

x = 2.77 (2dp)

2.77 is the beta of Stock B.

Answer 2

Answer:

2.53

Explanation:

Stock A beta would be equal to 1

Portfolio beta=Respective betas*Respective weights

1.75=(0.17*0)+(0.31*1)+(0.57*beta of stock B)(Beta of Treasury bills=0)

1.75=0.31+0.57beta of stock B

Hence beta of stock B=(1.75-0.31/0.57

=2.53(Approx)