Assume that you just won the state lottery. Your prize can be taken either in the form of 100,000 at the end of each of the next 15 years or as a single amount of $1,000,000 paid immediately. If you expect to be able to earn 5% annually on your investments, ignoring taxes and other considerations, which alternative should you take? Why?

Assume that you just won the state lottery. Your prize can be taken either in the form of 100,000 at the end of each of the next 15 years or as a single amount of $1,000,000 paid immediately. If you expect to be able to earn 5% annually on your investments, ignoring taxes and other considerations, which alternative should you take? Why?

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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Assume you won the state lottery and you are entitled to $5,000,000. If you choose not to take the money right away but wish to be paid weekly, you estimate that you will want to receive this cash flow over the next 10 years. How much will your weekly payment be at an interest rate of 5% ?
You won the state lottery and took the payout as a $1,823,475 lump sum today. Your spouse has decided that you need to invest this money for the next 9 years and can expect it to earn an average annual rate of return of 8.00%. If this comes to pass, how much money will be in the account at the end of the period?
Assume that you just won the state lottery. Your prize can be taken either in the form of $40,000 at the end of each of the next 25 years (that is, $1,000,000 over 25 years) or as a single amount of $500,000 paid immediately.i. If you expect to be able to earn 4% annually on your investments over the next 25 years, ignoring taxes and other considerations, which alternative should you take? Why?ii. Would your decision in part (i) change if you could earn 7% rather than 4% on your investments over the next 25 years? Why?
Suppose you just won the state lottery, and you have a choice between receiving $2,625,000 today or a 20-year annuity of $270,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.
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You just won the lottery and are offered the following payout: $1,000,000 immediately plus another 6 payments that increase by $500,000 per year. Thus in year one, you receive $1,500,000, etc. The EAR you expect to earn on reinvestment of your money is 8.5%. What is the minimum amount you should be willing to accept as a lump sum today rather than the payout over time? How does the return given in the form of EAR impact your answer?
Answer each of the following independent questions. Ignore personal income taxes. Use Appendix A for your reference. (Use appropriate factor(s) from the tables provided.) Required: 1. Suppose you invest $4,100 in an account bearing interest at the rate of 10 percent per year. What will be the future value of your investment in five years? 2. Your best friend won the state lottery and has offered to give you $11,600 in four years, after he has made his first million dollars. You figure that if you had the money today, you could invest it at 8 percent annual interest. What is the present value of your friend’s future gift? 3. In four years, you would like to buy a small cabin in the mountains. You estimate that the property will cost you $68,500 when you are ready to buy. How much money would you need to invest each year in an account bearing interest at the rate of 4 percent per year in order to accumulate the $68,500 purchase price? 4. You have estimated that your educational expenses…
How much would you accept in a lump sum today, in place of a lottery payment of $35,000 at the end of the next 20 years ($700,000 in total), assuming you could invest it at a 6 percent rate?
You are applying for a scholarship currently valued at $6,500. If you are awarded it at the end of next year, how much will it be worth in today's dollars, assuming inflation of 2.5 percent
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Suppose that you are obtaining a personal loan from your uncle in the amount of $20,000 (now) to be repaid in two years to cover some of your college expenses. If your uncle usually earns minimum 8% profit (annually) on his money, which is invested in various sources, what minimum lump-sum payment two years from now would make your uncle happy?
Suppose you just won the state lottery, and you have two options: (1) receiving $2,550,000 now or (2) receiving a 20-year annuity with $250,000 payment at the end of each year. What rate of return is built into the annuity to make you indifferent with these two options? A) 7.12% B) 7.87% C) 8.26% D) 7.49% E) 8.67%

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