Problem 3 Scenario Analysis (33 points)

Use the following scenario analysis for stocks X and Y to answer the questions. Round to the nearest 1/100 of 1% (i.e., 15.07%).

	Bear	Normal	Bull
	Market	Market	Market
Probability	35.00%	55.00%	10.00%
Stock X	-20.00%	11.00%	28.00%
Stock Y	-17.00%	16.00%	49.00%

3.a) What are the expected rates of return for stocks X and Y (9 points)?

3.b) What are the standard deviations for of returns for stocks X and Y (8 points)?

3.c) If the riskfree rate of return is 2.50%, what are the Sharpe Ratios for stocks X and Y (8 points)? (Please assume that the standard deviations of the excess returns are the same as the standard deviations of returns calculated in part b.)

3.d) Assume you have a $200,000 portfolio and you invest $75,000 in stock X and the remainder in stock Y. What is the expected return for this portfolio (8 points)?