13) Consider the following information for three stocks, Stocks X,Y, and Z. The
ID: 2713650 • Letter: 1
Question
13) Consider the following information for three stocks, Stocks X,Y, and Z. The returns on the three stocks are positvely correlated but are not perfectly correlated.
Stock Expected Return Standard Deviation Beta
x 9.00% 15% 0.8
y 10.75 15 1.2
z 12.50 15 1.6
Fund Q has one-third of its funds invested in each of the three stocks. The risk free rate is 5.5%. and the market is in equilibrium. ( That is the required returns equal expected returns)
a) Whta is the market risk premium?
b) What is the beta of Fund Q
c) What is the expected return of fund Q?
d) Would you expect the standard deviation of fund q to be less than 15%, equal to 15% or greater than 15%.
Explanation / Answer
a)
b)
c)
d) standard deviation of fund q would be Equal to 15% as each stock is having a SD of 15% and the investment is equal is all the stocks.
Stock Expected return Weight Return x 9 0.33 3 y 10.75 0.33 3.6 z 12.5 0.33 4.2 expected return of Fund Q 10.75 Market Risk Premium = Expected Return of the Market – Risk-Free Rate 5.25 (10.75-5.5)Related Questions
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