8. (Present value of a complex stream) Don Draper has signed a contract that will pay him 580.000 at the end of each year for the next 6 years, plus an additional $100.000 at the end of year 6. If 8 percent is the appropriate discount rate, what is the present value of this contract? 9. (Expected return and risk) Universal Corporation is planning to invest in a security that has several possible rates of retum. Given the following probability distribution of returns, what is the expected rate of return on the investment? Also compute the standard deviations of the returns. What do the resulting numbers represent? Probability 0.10 Retur -10% S% 0.20 0.30 1095 0.40 25% 10. (Capital asset pricing model) Using the CAPM. estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 5 percent and the expected return for the market is 12 percent. Stock Beta 0.75 B 0.90 c 1.40 1 11. (Portfolio beta and security market dine) You own a portfolio consisting of the stocks below: Stock of security Percentage of portfolio Beta Expected return 206 1.00 12% 30 15% 12% 25% 7% 2 08 8% 3 1.30 4 0.60 5 10% 1.60 The risk-free rate is 3 percent. Also, the expected retur on the market portfolio is Il percent. Calculate the expected return of your portfolio. (Hint: The expected return of a portfolio equals the weighted average of the individual stocks expected returns, where the weights are the percentage invested in each stock.) b. Calculate the portfolio beta c. Given the foregoing information, plot the security market line on paper. Plot the stocks from your portfolio on your graph. d. From your plot in part (e), which stocks appear to be your winners and which ones appear to be your losers? e. Why should you consider your conclusion in part (d) to be less than certain? 3