1. Suppose that the market consists of two stocks A and B. In the market there are 100 shares of A and 100 shares of B traded. The price of A is currently $1 per share, and the price of B is $2. Let the risk free rate be 2%.
a. If the expected returns of stock A is 10%, and B is 6%, what is the expected return of the market?
b. Assuming CAPM holds, what is the beta of stock A and the beta of stock B?
c. Assuming a standard deviation of the market of 20%, what is the covariance between stock A and the market?