1. Suppose you invest $7,000 in Stock A and $3,000 in Stock B. The variance of Stock A is 50 percent, the variance of Stock B is also 50 percent, and the covariance between the two stocks is 0 percent. What is the variance of your portfolio in percent?

2. Suppose that you currently have $250,000 invested in a portfolio with an expected return of 12 percent and a standard deviation of 10 percent. The risk-free rate of interest is 5 percent.

The Sharpe ratio for your portfolio is:

3. You are an active portfolio manager for a large hedge fund. The overall return on your portfolio for the year is 25 percent. What is your fund's alpha if the the risk-free rate is 5 percent, the Beta for you portfolio is 1.50 and the market risk premium is 10 percent?

4. Suppose an investment has a 50 percent chance to have a 40 percent return and a 50 percent chance to have a 20 percent return. What is the expected return for this investment?

5. Suppose an investment has a 50 percent chance to have a 40 percent return and a 50 percent chance to have a 20 percent return. What is the standard deviation of the return for this investment?

6. Consider two stocks X and Y with the following expected returns (in percent) and standard deviations. How much of your $10,000 total investment should you invest in stock Y if you would like a portfolio with an expected return of 18 percent?

StockExpected return Standard deviation

X 10 25

Y 20 50