*The Powerball Lottery, worth $280 million, was won by a single individual. Thewinner was given two choices: receive 26 payments of $7 million each with thefirst payment to be made immediately and the rest to be made at the end of eachof the next 25 years, or receive a single lump-sum payment now that would beequivalent to the 26 payments of $7 million each. If the state uses an interestrate of 4.5 % per year, calculate the amount of the lump sum payment.

In this problem, we're dealing with the concept of the time value of money. Essentially, money…

Answered: * The Powerball Lottery, worth $280…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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P3-20 a. and b.
On January 1, you win $5,000,000 in the state lottery. The $5,000,000 prize will be paid in equal installments of $500,000 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.
(Related to Checkpoint 6.2) (Present value of annuity payments) The state lottery's million-dollar payout provides for $1 million to be paid in 25 installments of $40,000 per payment. The first $40,000 payment is made immediately, and the 24 remaining $40,000 payments occur at the end of each of the next 24 years. If 12 percent is the discount rate, what is the present value of this stream of cash flows? If 24 percent is the discount rate, what is the present value of the cash flows? a. If 12 percent is the discount rate, the present value of the annuity due is $ b. If 24 percent is the discount rate, the present value of the annuity due is $ *** (Round to the nearest cent.) (Round to the nearest cent.)
Your answer is partially correct. Chris Long has just learned he has won a $506,800 prize in the lottery. The lottery has given him two options for receiving the payments. (1) If Chris takes all the money today, the state and federal governments will deduct taxes at a rate of 46% immediately. (2) Alternatively, the lottery offers Chris a payout of 20 equal payments of $39,500 with the first payment occurring when Chris turns in the winning ticket. Chris will be taxed on each of these payments at a rate of 26%. Click here to view factor tables. Compute the present value of the cash flows for lump sum payout. (Round answer to O decimal places, e.g. 458,581.) Lump sum payout $ Assuming Chris can earn an 9% rate of return (compounded annually) on any money invested during this period, compute the present value of the cash flows for annuity payout. (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to O decimal places, e.g. 458,581.) Present value of annuity payout…
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.
the lottery commission wants to be able to withdraw $400,000 at the beginning of each year for twenty years to cover annual payments due to Randy who won 8 million. How much does the commission need to invest today in an account paying 3.6% compounded annually to provide these payments?
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.
I solved the problem, but please put the information you provided in an excel spreadsheet to get the answers I have please and explain the steps/formula used. 1. 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%? Annual Discount Rate = 12% Annual Income = 1.5 million Annual Federal Tax = 39.6% * 1.5 million = 0.594 million Annual State Tax = 8.5% * 1.5 million = 0.1275 million Annual Net Income = 1.5 million - 0.594 million - 0.1275 million = 0.7785 million Calculate Total Present Value by using the PVOA Formula. Annuity Factor i = 12% ; time = 29 years ; Factor = 8.0218 PVOA = PMT x Annuity Factor = 0.7785 x 8.0218 = 6.244971 million Total PV = Initial Net Income + PVOA = 0.7785 million + 6.244971 million = 7.02 million

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