1. Suppose that you have the following data on states of nature and outcomes for three securities:
State Prob. RA RM RF
I 0.6 14% 12% 4%
II 0.4 -2% 3% 4%
- Find the expected return and standard deviation for each security.
- Find the covariance between A and M. Then, find the correlation between A and M.
- Given the correlation between A and M, is it useful to form a portfolio using these two assets? Explain.
- Form a portfolio by allocating 40% of your wealth to A and the remainder to M. Compute the expected return and standard deviation of this portfolio. Compare the standard deviation to a weighted average standard deviation for A and M. Explain why the portfolio standard deviation is either the same as or lower than the weighted average standard deviation.
2. What is a "real option" and how does it relate to capital budgeting and the objective of the firm?