Consider the following information about two stocks (D and E) and two common risk factors (1 and 2):
Stock bi1 bi2 E(Ri )
D 1.2 3.4 13.1%
E 2.6 2.6 15.4%
a. Assuming that the risk-free rate is 5.0%, calculate the levels of the factor risk premia that are consistent with the reported values for the factor betas and the expected returns for the two stocks.
b. You expect that in one year the prices for Stocks D and E will be $55 and $36, respectively. Also, neither stock is expected to pay a dividend over the next year. What should the price of each stock be today to be consistent with the expected return levels listed at the beginning of the problem?
c. Suppose now that the risk premium for Factor 1 that you calculated in Part a suddenly increases by 0.25% (i.e., from x% to (x + 0.25)%, where x is the value established in Part
a. What are the new expected returns for Stocks D and E?
d. If the increase in the Factor 1 risk premium in Part c does not cause you to change your opinion about what the stock prices will be in one year, what adjustment will be necessary in the current (i.e., today's) prices?