1. You own a portfolio that is 20% invested in stock X, 30% in stock Y, and 50% in Stock Z. The expected returns on these three stocks are 8%, 13%, and 7%, respectively. What is the expected return of the portfolio?

2. You have $240 to invest. Your choices are Stock A with a return of 12% and Stock B with a return of 5%. You want a portfolio with a return of 8%. How much money should you invest in Stock B?

3. A stock has an expected return of 11%, the risk-free rate is 5%, and its beta is 0.7. What must the expected return of the market be?

4. What is the expected return for a stock that has a beta of 0.9 when the return of the market is 10% and the risk-free rate is 4%.

5. A stock has an expected return of 10.8% and a beta of 0.7, and the expected return of the market is 12%. What must the risk-free rate be?

Please show your work, thank you.