Lucky Larry wins $5,000,000 in a state lottery. The standard way in which the state pays such lottery winnings is at a constant rate of $200,000 per year for 25 years. Round your answer to the nearest $10. If Lucky invests each payment from the state at 6% compounded continuously, what is the accumulated future value of the income stream? $ What is the accumulated present value of the income stream at 6%, compounded continuously? (This amount represents what the state has to invest at the start of its lottery payments, assuming the 6% interest rate holds.)

Lucky Larry wins $5,000,000 in a state lottery. The standard way in which the state pays such lottery winnings is at a constant rate of $200,000 per year for 25 years. Round your answer to the nearest $10. If Lucky invests each payment from the state at 6% compounded continuously, what is the accumulated future value of the income stream? $ What is the accumulated present value of the income stream at 6%, compounded continuously? (This amount represents what the state has to invest at the start of its lottery payments, assuming the 6% interest rate holds.)

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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On January 1, you win $60,000,000 in the state lottery. The $60,000,000 prize will be paid in equal installments of $6,000,000 over 10 years. The payments will be made on December 31 of each year, beginning on December 31 of the current year. If the current interest rate is 6%, determine the present value of your winnings. Use the present value factor of annuity of $1 Show your work:
Peggy just won the lottery! She could either receive $75,000 today or $1,000,000 in 40 years. At what rate of interest, compounded annually, would Peggy be indifferent between accepting the lottery winnings of $75,000 today and investing it on her own? A) 6.7%B) 6.1%C) 5.5%D) 2.4%
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…
Hank made payments of $106 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for $99,810. What annual interest rate would he need to earn on an ordinary annuity for a comparable rate of return? ◻️٪؜ (Round to the nearest hundredth as needed.)
Ellen won a lottery that will pay her $100,000 a year for 20 years, or she can accept $1,500,000 today. A)Assuming she can earn 2.5% and maximizing her winnings is the only consideration, which offer should she accept? Show your calculations. B)Assuming she can earn 3%, what would be the lump sum today equivalent to the 20 payments of $100,000?
Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the$4,000,000 advertised jackpot. You can take annual payments of $160,000 at the end of the year for the next 25 years or $1,864,573 today. b. If your investment rate over the next 25 years is 6%, what is the present value of the $160,000 annual payments today?
Several years ago, an individual won $27 million in the state lottery. To pay off the winner, the state planned to make an initial $1 million payment immediately followed by equal annual payments of $1.3 million at the end of each year for the next 20 years. Just before receiving any money, the person offered to sell the winning ticket back to the state for a one-time immediate payment of $14.4 million. If the state uses a 6%/year MARR, should it accept the offer? Use a present worth analysis.
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%
Anthony has just won the Flyball Lottery. He has two options for receiving his prize. The first option is to accept a $133,000 cash payment today. The second option is to receive $20,000 at the end of each of the next 19 years and a $33,500 lump sum payment in the 20th year. Anthony can invest money at a 11% rate. Click here to view the factor table. (a) Calculate the present value of the two options. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,971.) Option 1 Option 2 Present value $ $ Which option should Anthony choose to receive his winnings? Option 2 Option 1 (b) If Anthony could invest money at 14%, calculate the present value of the two options. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,971.) Option 1 Option 2 Present value $ $ Which option should he choose?
You have just won the state lottery and have two choices for collecting your winnings. You can collect $111,000 today or receive $21,900 at the end of each year for the next seven years. A financial analyst has told you that you can earn 9 percent on your investments. Required: 1. Calculate the present value of both the options (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use appropriate factor(s) from the tables provided. 2. Which alternative should you select?
You like to buy lottery tickets every week. The lottery pays an insurancecompany that pays the winner an annuity. If you win a $60,000,000 lotteryand elect to take an annuity, you get $3,000,000 per year at the beginningof each year for the next 20 years.a. How much must the state pay the insurance company if money can earn3 percent?b. How much interest is earned on this lump-sum payment over the 20 years?c. If you take the cash rather than the annuity, the state pays you $30,000,000in one lump sum today. You must pay 40 percent of this in taxes. If you arecurrently working and invest this money at 6 percent, how much moneywill you have in a mutual fund at the end of 20 years?d. Are you better off with the annuity, or should you take the cash? Explain.

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