Question

You decide to invest in a portfolio consisting of 40 percent Stock A, 30 percent Stock B, and the remainder in Stock C. Based on the following information, what is the expected return of your portfolio?
Probability of State Return if State Stock
State of Economy of Economy Stock A Stock B Stock C
Recession -20 -18.2% 3.6% -22.5%
Normal -51 10.8% 8.2% 16.8%
Boom -29 28.0% 15.5% 31.4%
a. 11.14%.
b. 13.73%.
c. 12.59%.
d. 71.62%.
e. 10.65%.

Answer 1

Answer: e. 10.65%.

Explanation:

First find the expected return of the individual stocks;

Stock A = (0.2 * - 0.182) + (0.51 * 0.108) + (0.29 * 0.28) = 9.99%

Stock B =  (0.2 * - 0.036) + (0.51 * 0.082) + (0.29 * 0.155) = 7.96%

Stock C = (0.2 * - 0.225) + (0.51 * 0.168) + (0.29 * 0.314) = 13.17%

Expected return of portfolio = ∑(Stock expected return * weight)

= (0.4 * 0.0999) + (0.3 * 0.0796) + (0.3 * 0.1317)

= 10.65%

Question is missing detail. Stock B return in recession is negative figure.