A lottery winner is given the choice of receiving a lump sum amount of $450,000 or a monthly perpetuity starting in the upcoming month. At what perpetuity amount are both options equal for the lottery winner given their required annual rate of return of 12%? Selected Answers: Answers: $4,500 $4,500 $4,545 $54,000 $60,480
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- On January 1, you win $46,000,000 in the state lottery. The $46,000,000 prize will be paid in equal installments of $5,750,000 over eight years. The payments will be made on December 31 of each year, beginning on December 31 of this year. The current interest rate is 5%. Determine the present value of your winnings. Round your answer to the nearest dollar. $ fill in the blank 2On January 1, you win $4,800,000 in the state lottery. The $4,800,000 prize will be paid in equal installments of $480,000 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 Table 3. Round to the nearest whole dollar.On January 1 you win $3,480,000 in the state lottery. The $3,480,000 prize will be paid in equal installments of $290,000 over 12 years. The payments will be made on December 31 of each year, beginning on December 31. If the current interest rate is 7%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar.
- On January 1 you win $50,000,000 in the state lottery. The $50,000,000 prize will be paid in equal installments of $6,250,000 over eight years. The payments will be made on December 31 of each year, beginning on December 31 of this year. If the current interest rate is 12%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar. Will the present value of your winnings using an interest rate of 12% be more than the present value of your winnings using an interest rate of 5%?Archibald Andrews has just learned that he won $1,040,000 in the lottery. Archie has three options for payment: 36 equal semi-annual payments of $36,000, the first to occur in exactly one year. Taxes of 15% will be deducted from each payment. For this option, assume interest of 8% APR, compounded semi-annually. What is the present value?Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $94,000 cash immediately, (2) $38,000 cash immediately and a six-period annuity of $9,700 beginning one year from today, or (3) a six-period annuity of $19,600 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1. Assuming an interest rate of 7%, determine the present value for the above options. Which option should Alex choose?2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will make annual deposits of $190,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 8% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030?
- Rita Gonzales won the $41 million lottery. She is to receive $1.5 million a year for the next 19 years plus an additional lump sum payment of $12.5 million after 19 years. The discount rate is 14 percent. What is the current value of her winnings? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)Archibald Andrews has just learned that he won $1,040,000 in the lottery. Archie has three options for payment: 20 equal annual payments of $72,000, the first to occur immediately. Taxes of 25% of will be deducted from each payment. Assume an inherent interest rate of 8% APR. What is the present value?The 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 %
- Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $64,000 cash immediately, (2) $20,000 cash immediately and a six-period annuity of $8,000 beginning one year from today, or (3) a six -period annuity of $13,000 beginning one year from today. (FV of $1, PV of $1, FVA of $1, FVAD of $1 and PVAD of $1) Required 1. Assuming an interest rate of 6%, determine the present value for the above options. Which option should Alex choose? Annuity PV Annuity Immediate PV Option Payment Cash Option 1 ____________ _________ + __________ = $__________0 Option 2 ____________ _________ + __________ = $ 0 Option 3 ____________ __________ + ___________ =…1. You just won the PA lottery! The lottery offers you a choice: you may choose a lump sum today, or $89 million in 26 equal annual installments at the end of each year. Assume the funds can be invested (yield) at an annual rate of 7.65%. What is the lump sum that would equal the present value of the annual installments? : $89,000,000 $38,163,612 $41,083,128 $13,092,576A $1.2 million state lottery pays $5,000 at the beginning of each month for 20 years. How much money must the state actually have in hand to set up the payments for this prize if money is worth 8%, compounded monthly? (a) Decide whether the problem relates to an ordinary annuity or an annuity due. (b) Solve the problem. (Round your answer to the nearest cent.)