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1. Assume the risk-free rate of return is 3% and the market rate of return is 11%. Consider the following three investments alternatives.
ROR Std.Dev Beta
X 9% 16% 0.8
Y 15% 25% 1.4
Z 12% 18% 1.2
a) Calculate the coefficient of variations and rank the three investments.
b) Calculate the Sharpe ratios and rank them. Is the ranking the same as in (a)? why or why not?
c) Use the CAPM and rank the investments. Is the ranking the same as in (a) and (b)? why or why not?
d) If the correlation coefficient between X and Y is 0.10, calculate the expected return and standard deviation of a portfolio that invests 40% in X and 60% in Y.
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