Jane won the $70 million lottery. She is to receive $1 million a year for the next 50 years beginning one year from now, plus an additional lump sum payment of $10 million after 50 years. The discount rate is 10 percent. How much cash would she need to be offered today to tempt her to take a lump-sum cash offer instead, all

Jane won the $70 million lottery. She is to receive $1 million a year for the next 50 years beginning one year from now, plus an additional lump sum payment of $10 million after 50 years. The discount rate is 10 percent. How much cash would she need to be offered today to tempt her to take a lump-sum cash offer instead, all

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Jane Bauer has won the lottery and has the following four options for receiving her winnings: Receive $100,000 at the beginning of the current year Receive $108,000 at the end of the year Receive $20,000 at the end of each year for eight years Receive $10,000 at the end of each year for 30 years Jane can invest her winnings at an interest rate of 8% compounded annually at a major bank. Use the appropriate present or future value table: FV of $1, PV of $1, FV of Annuity of $1 and PV of Annuity of $1 Calculate the Present value for each of the above options. Round all answers to the nearest dollar. Present Value Option 1 $fill in the blank 1 Option 2 $fill in the blank 2 Option 3 $fill in the blank 3 Option 4 $fill in the blank 4 Which of the payment options should Jane choose?
Joan Lucky won the $44,000,000 lottery. She is to receive $1.3 million a year for the next 25 years plus an additional lum payment of $11.5 million after 25 years. The discount rate is 18 percent. What is the current value of her winnings? (Use a Financial calculator to arrive at the answer. Round the final answer nearest whole dollar.) Current Value $
Gail has won a lottery that pays her $100,000 at the end of this year and increases by 15 percent per year thereafter for 20 years. Leon has offered Gail $2,500,000 today in exchange for all the money she will receive. If Gail can get 9 percent interest on her savings, is this a good deal? Since the present value of the lottery winnings is $ (Round to the nearest dollar as needed.) the offer a good deal.
Cammie won the lottery. She can take a single lump sum payout of $10 million dollars or receive $750,000 per year, beginning immediately, for the next 25 years. What rate of return would Cammie need to break even if she took the lump sum amount instead of the annuity? O 5.31% O 6.19 % O 4.98% 5.56%
Sima has won the Wisconsin lottery with a jackpot of $10,000,000. She will be paid out in 20 equal annual installments with the first payment made immediately. If she had the money now she could invest it in an account that generates 9% compounded annually. What is the present value of the stream of payments? Present value of the lottery winnings (round up to the nearest dollar):
Karen White, a lottery winner, will receive the following payments over the next seven years. She has been approached by an investor who will pay Karen a lump sum today for the rights to those future cash flows. If she can invest her cash flows in a fund that will earn 10.7 percent annually, how much should Karen require the investor to pay for the cash flows? (Round answer to 2 decimal places, e.g. 15.25. Do not round factor values.) 1 2 Present value of investment $ 3 4 5 6 7 $326,000 $376,000 $401,000 $426,000 $476,000 $526,000 $676,000 Year
Maya just win the lottery! She could either receive $75,000 today or $1,000,000 in 40 years. At what rate of interest, compounded annually, would Maya be indifferent between accepting the lottery winnings of $75,000 today and investing it on her own?
Mary Cooper, Sheldon's mother, who lives in east Texas, wants to help pay for her grandchild's education. How long will it take Mary to reach her goal of $295,000 if she invests $10,000 per year, earning 6 percent? Use Appendix A-3 or the Garman/Forgue companion website. Round your answer to the nearest half-year. years
Brenda Young desires to have $20,000 eight years from now for her daughter’s college fund. If she will earn 4 percent (compounded annually) on her money, what amount should she deposit now? Use the present value of a single amount calculation. Use Exhibit 1-C. (Round time value factor to 3 decimal places and final answer to nearest whole number.)
A man won 300,000 in a lottery decided to place 50% of his winning in a trust fund for the college education of his son. If the money will earn 14% per year compounded quarterly, how much will be the money at the end of ten years when his son will be starting his college education? Provide the cash flows and diagram.
Aunt Zelda’s son starts college in 5 years for which she will need $15,000 payable at the end of each of the 4 years. Suppose she can buy an annuity in 5 yrs. that will enable her to make the four $15,000 annual payments. Draw a timeline for all cash flows. What will be the cost of the annuity 5 years from today? What is the most she should be willing to pay for it if purchased today? Assume an interest (discount) rate of 6% during these 9 years.
Jane has been given an opportunity to receive 20,000, six years from now. If she can earn 10% on her investments, what is the most she should pay for this. opportunity?

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