The multistate Powerball Lottery, worth $182 million, was won by a single individual who had purchased five tickets at $1 each. The winner was given two choices: receive 26 payments of $7 million each, with the first payment to be made now and the rest to be made at the end of each of the next 25 years, or receive a single lump-sum payment now that would be equivalent to the 26 payments of $7 million each. If the state uses an interest rate of 4% per year, find the amount of the lump sum payment.
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The multistate Powerball Lottery, worth $182 million, was won by a single individual who had purchased five tickets at $1 each. The winner was given two choices: receive 26 payments of $7 million each, with the first payment to be made now and the rest to be made at the end of each of the next 25 years, or receive a single lump-sum payment now that would be equivalent to the 26 payments of $7 million each. If the state uses an interest rate of 4% per year, find the amount of the lump sum payment.
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- A winner of the state lottery was given two choices: receive a single lump sum payment now of $50 million or receive 21 uniform payments, with the first payment to be made now, and the rest to be made at the end of each of the next 20 years. At an interest rate of 4% per year, the amount ofthe 21 uniform payments that would be equivalent to the $50 million lump-sum payment is closest to:a. $3,152,000b. $3,426,800c. $3,623,600d. $3,923,800The top prize for the state lottery is $115,700,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $115,700,000 in 25 equal payments of $4,628,000—one payment today and one payment at the end of each of the next 24 years. If you choose the cash payment, you will receive a one-time lump sum payment of $53,355,093.34. If you can invest the proceeds and earn 9 percent, which option should you choose? (Round factor values to 3 decimal places, e.g. 1.521.) Lump sum paymentAnnual paymentThe top prize for the state lottery is $105,704,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $105,704,000 in 25 equal payments of $4,228,160—one payment today and one payment at the end of each of the next 24 years. If you choose the cash payment, you will receive a one-time lump sum payment of $57,293,079.68. At what interest rate would you be indifferent between the cash and annual payment options? (Round answer to 0 decimal places, e.g. 15%.) Interest rate %
- The top prize for the state lottery is $105,000,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $105,000,000 in 20 equal payments of $5,250,000—one payment today and one payment at the end of each of the next 19 years. If you choose the cash payment, you will receive a one-time lump sum payment of $63,830,111.58. You can invest the proceeds and earn 7%. At what interest rate would you be indifferent between the cash and annual payment options? (Round factor values to 3 decimal places, e.g. 1.521 and final answer to 0 decimal places, e.g. 15%.)Click here to view the PV Table. Interest rate %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.Several years ago, a man won $27 million in the State Lottery. To pay off the winner, the State planned to make an initial $1 million payment today 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 man 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%/yr MARR, should the State accept the man’s offer? Use an internal rate of return analysis.
- 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.You and 11 coworkers just won $1616 million ($1 comma 333 comma 333.331,333,333.33 each) from the state lottery. Assuming you each receive your share over 1717 years and that the state lottery earns a 66 percent return on its funds, what is the present value of your prize before taxes if you request the 'up-front cash' option?A lottery administrator has just completed the state's most recent $50 million lottery. Receipts fromlottery sales were $50 million and the payout will be $5 million at the end of each year for 10 years.The expenses of running the lottery were $800,000. The state is able to earn an annual return of 8 percent on any funds invested.If you were the lottery administrator and were interested in knowing the dollar amount of net profit, how would you proceed with your computation, assuming that sales proceeds from the lottery were invested at a rate of 8%, followed by end-of-year payouts of $5 million for 10 years and that the expenses were a one-time payment? What would be the net profit in dollar terms? Ignore taxes. Consider NPV of the project
- Several years ago, a woman won $50 million in the state lottery. To pay off the winner, the state offered three payment plans to the woman. Plan 1 included an immediate payment of $12 million followed by 13 annual payments of $4.5 million. Plan 2 consisted of an immediate payment of $19 million followed by 9 equal annual payments of $5 million. Plan 3 included an immediate payment of $50 million. Calculate the present worth (PW) of each plan and determine which plan should be considered by a woman. Consider a MARR of 6%.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.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.