Question

Portfolio AB has half of its funds invested in Stock A and half in Stock B. Portfolio ABC has one third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium, so required returns equal expected returns. Which of the following statements is CORRECT?
a) Portfolio ABC's expected return is 10.66667%.
b) Portfolio AB has a standard deviation of 20%.
c) Portfolio ABC has a standard deviation of 20%.
d) Portfolio AB's required return is greater than the required return on Stock A.
e) Portfolio AB's coefficient of variation is greater than 2.0.

Answer 1

Answer:

a) Portfolio ABC's expected return is 10.66667%.

Explanation:

Some information is missing:

Stock                Expected         Standard             Beta

                         return              deviation

A                            10%                 20%                 1.0

B                            10%                  10%                 1.0

C                            12%                  12%                 1.4

The expected return or portfolio AB = (1/2 x 10%) + (1/2 x 10%) = 10% (it is the same as the required rate for stock A or B)

The expected return or portfolio ABC = (weight of stock A x expected return of stock A) +  (weight of stock B x expected return of stock B) + (weight of stock C x expected return of stock C) = (1/3 x 10%) + (1/3 x 10%) + (1/3 x 12%) = 3.333% + 3.333% + 4% = 10.667% THIS IS CORRECT

Options B, C, D and E are wrong.