Problem 1. Consider the following table, which gives a security analysts expected return on two stocks for two particular market returns:

States	Market Return	Aggressive Stock	Defensive Stock
Bad Good	5% 25%	-2% 38%	6% 12%

a) What are the betas of the two stocks?

b) What is the expected rate of return on each stock if the market return is equally likely to be 5% or 25%?

c) If the T-bill rate is 6% and the market return is equally likely to be 5% or 25%, draw the SML for this economy.

d) Plot the two securities on the SML graph. What are the alphas of each?

Problem 2. Assume that the risk-free rate of interest is 6% and the expected rate of return on the market is 16%.

a) A share of stock sells for $50 today. It will pay a dividend of $6 per share at the end of the year. Its beta is 1.2. What do investors expect the stock to sell for at the end of the year?

b) A stock has an expected rate of return of 4%. What is its beta?