5-18 UNEVEN CASH FLOW STREAM a. Find the present values of the following cash flow streams at a 5% discount rate. b. What are the PVs of the streams at a 0% discount rate? 5-19 FUTURE VALUE OF AN ANNUITY Your client is 26 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $8,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 10% in the future. a. If she follows your advice, how much money will she have at 65 ? b. How much will she have at 70 ? c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70 . If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? PV OF A CASH FLOW STREAM A rookie quarterback is negotiating his first NFL contract. His opportunity cost is 7%. He has been offered three possible 4-year contracts. Payments are guaranteed, and they would be made at the end of each year. Terms of each contract are as follows: As his adviser, which contract would you recommend that he accept? 5-21 EVALUATING LUMP SUMS AND ANNUITIES Kristina just won the lottery, and she must choose among three award options. She can elect to receive a lump sum today of $62 million, to receive 10 end-of-year payments of $9.5 million, or to receive 30 end-of-year payments of $5.6 million. a. If she thinks she can earn 7% annually, which should she choose? b. If she expects to earn 8% annually, which is the best choice? c. If she expects to earn 9% annually, which option would you recommend? d. Explain how interest rates influence her choice. FUTURE VALUE OF AN ANNUITY Your client is 26 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $8,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 10% in the future. a. If she follows your advice, how much money will she have at 65 ? b. How much will she have at 70 ? c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70 . If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age