Lucky Larry wins $6,000,000 in a state lottery. The standard way in which the state pays such lottery winnings is at a constant rate of $240,000 per year for 25 years. Round your answer to the nearest $10. If Lucky invests each payment from the state at 5% compounded continuously, what is the accumulated future value of the income stream? $ What is the accumulated present value of the income stream at 5%, compounded continuously? (This amount represents what the state has to invest at the start of its lottery payments, assuming the 5% interest rate holds.) $

Lucky Larry wins $6,000,000 in a state lottery. The standard way in which the state pays such lottery winnings is at a constant rate of $240,000 per year for 25 years. Round your answer to the nearest $10. If Lucky invests each payment from the state at 5% compounded continuously, what is the accumulated future value of the income stream? $ What is the accumulated present value of the income stream at 5%, compounded continuously? (This amount represents what the state has to invest at the start of its lottery payments, assuming the 5% interest rate holds.) $

Cornerstones of Cost Management (Cornerstones Series)

4th Edition

ISBN:9781305970663

Author:Don R. Hansen, Maryanne M. Mowen

Publisher:Don R. Hansen, Maryanne M. Mowen

Chapter19: Capital Investment

Section: Chapter Questions

Problem 8E

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The Caldwell Herald newspaper reported the following story: Frank Ormsby of Caldwell is the state’snewest millionaire. By choosing the six winning numbers on last week’s state lottery, Mr. Ormsby has wonthe week’s grand prize totaling $1.6 million. The State Lottery Commission has indicated that Mr. Ormsbywill receive his prize in 20 annual installments of $80,000 each.Required:1. If Mr. Ormsby can invest money at a 12% rate of return, what is the present value of his winnings?2. Is it correct to say that Mr. Ormsby is the “state’s newest millionaire”? Explain your answer.
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):
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Alex Kelton recently won the jackpot in the Colorado lottery while he was visiting his parents. When he arrived at the lottery office to collect his winnings, he was offered the following three payout options: Receive $100,000,000 in cash today. Receive $25,000,000 today and $9,000,000 per year for eight years, with the first payment being received one year from today. Receive $15,000,000 per year for 10 years, with the first payment being received one year from today. Assuming that the effective rate of interest is 7%, which payout option should Alex select? Use the present value tables in Appendix A. Explain your answer and provide any necessary supporting calculations.
Alex Kelton recently won the jackpot in the Colorado lottery while he was visiting his parents. When he arrived at the lottery office to collect his winnings, he was offered the following three payout options: Receive $100,000,000 in cash today. Receive $25,000,000 today and $9,000,000 per year for eight years, with the first payment being received one year from today. Receive $15,000,000 per year for 10 years, with the first payment being received one year from today. Assuming that the effective rate of interest is 7%, which payout option should Alex select?
John won a $45 million lottery today. The payout is the following: John gets $1.5 million today and $1.5 million each year for the next 29 years. How much money worth today for the lottery assuming John’s federal tax rate is 39.6%, state tax is 8.5% and his annual discount rate is 12%?
Alex Kelton recently won the jackpot in the Colorado lottery while he was visiting his parents. When he arrived at the lottery office to collect his winnings, he was offered the following three payout options:a. Receive $100,000,000 in cash today.b. Receive $25,000,000 today and $9,000,000 per year for eight years, with the first payment being received one year from today.c. Receive $15,000,000 per year for 10 years, with the first payment being received one year from today.Assuming that the effective rate of interest is 7%, which payout option should Alex select? Use the present value tables in Appendix A. Explain your answer and provide any necessary supporting calculations.
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