Concept explainers
a.
To discuss: The option that should be selected after comparing the present values.
It refers to the ability of the person to buy something. Purchasing power decreases with increase in inflation and increases with decrease in inflation. Because of purchasing power, individual adjust future inflow of cash according to the interest rate to get the
b.
To discuss: The option that should be selected after comparing the present values.
Purchasing Power:
It refers to the ability of the person to buy something. Purchasing power decreases with increase in inflation and increases with decrease in inflation. Because of purchasing power, individual adjust future inflow of cash according to the interest rate to get the present value of the money.
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Chapter 4 Solutions
UPENN: LOOSE LEAF CORP.FIN W/CONNECT
- You have just won the Multi-State Lottery. You have the option of receiving a check for $35,000,000 every year at the end of the next 22 years. The lottery commission also allows you the option of receiving a one-time payment of $387,143,417 when you turn in the winning ticket. What is the approximate interest rate that the lottery commission is using to determine the one-time payment? (Use spreadsheet software or a financial calculator to calculate your answer. Do not round any intermediary calculations, and round your final answer to the nearest percent, X%.) Group of answer choices 7% 6% 8% 5%arrow_forwardSuppose you just won the state lottery, and you have a choice between receiving $3,600,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes. Select the correct answer. a. 1.56% b. 2.46% c. 3.36% d. 4.26% e. 5.16%arrow_forwardSuppose you just won the state lottery, and you have a choice between receiving $2,679,000 today or a 20-year annuity of $261,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes. Group of answer choices 8.96% 7.41% 7.82% 8.55% 7.04%arrow_forward
- 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.arrow_forwardSuppose you just won the state lottery, and you have a choice between receiving $2,825,000 today or a 20-year annuity of $240,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.arrow_forwardSuppose you borrow money from your parents for college tuition on January 1, 2019. Your parents require four annual payments of $30,000 each, with the first payment due on January 1, 2023. They are charging you 5% annual interest. What is the cost of college tuition? (Use spreadsheet software or a financial calculator to calculate your answer. Round intermediary calculations to two decimal places and round your final answer to the nearest dollar.) Question content area bottom Part 1 A$91,894 B.$111,697 C.$120,000 D.$88,475arrow_forward
- You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.arrow_forwardSuppose you just won the state lottery, and you have two options: (1) receiving $2,550,000 now or (2) receiving a 20-year annuity with $250,000 payment at the end of each year. What rate of return is built into the annuity to make you indifferent with these two options? A) 7.12% B) 7.87% C) 8.26% D) 7.49% E) 8.67%arrow_forwardYou have just won the lottery and took a lump sum payout. After talking with a financial adviser you will make an lump sum deposit into an annuity that pays 3.3%, compounded semi-annual. If you will defer payments for 31 years and then receive payments at the end of every six months in the amount of $16,000.00 for 15 years. How much must you put into the annuity today to make this happen?You must deposit $ from your lottery winnings. (Round to 2 decimal places.)arrow_forward
- 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. c. At what investment rate will the annuity stream of $160,000 be the same as the lump-sum payment of $1,864,573?arrow_forwardYou choose to invest your $3,435 income tax refund check (rather than spend it) in an account earning 6% compounded annually. How much will the account be worth in 30 years? (Use the Table provided.) (Round your answer to the nearest cent.) Wortharrow_forwardAs the winner of a lottery you are promised 15 payments of $0.98 million each year starting a year from now. If the discount rate is 0.095, what is the present value of your winnings? Instruction: Type ONLY your numerical answer in the unit of millions,arrow_forward
- Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
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