Exam 5: The Time Value of Money

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What is the value on 1/1/13 of the following cash flows: What is the value on 1/1/13 of the following cash flows:   Use a 7% discount rate,and round your answer to the nearest $10. Use a 7% discount rate,and round your answer to the nearest $10.

(Multiple Choice)
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Congratulations! You are the proud winner of the multi-state Sour Ball Lottery.You are to receive $2,000,000 at the end of each year for the next 20 years.While the Lottery Commission refers to this as a $40,000,000 jackpot,if you choose the "cash option" they will give you much less than that; you can receive a lump sum payment today equal to the present value of the ordinary annuity instead of the 20 annual payments.If the discount rate that the Lottery Commission uses to determine the lump sum payoff is 7%,what is your payoff if you select the cash option?

(Multiple Choice)
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Andre's wonderful parents established a college savings plan for him when he was born.They deposited $50 into the account on the last day of each month.The account has earned 10.9% compounded monthly,tax-free.How much can they withdraw on his 18th birthday to spend on his education?

(Multiple Choice)
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When solving time value of money problems using Excel,the type = 0 variable means payments are made at the end of each period,and the type = 1 variable means payments are made at the beginning of each period.

(True/False)
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What is the present value of an annuity of $4,000 received at the beginning of each year for the next eight years? The first payment will be received today,and the discount rate is 9% (round to nearest $1).

(Multiple Choice)
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You discover an antique in your attic that you purchased at an estate sale 10 years ago for $400.You auction it on eBay and receive $8,000 for your item.What annual rate of return did you earn?

(Multiple Choice)
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In order to send your first child to Law School when the time comes,you want to accumulate $40,000 at the end of 18 years.Assuming that your savings account will pay 6% compounded annually,how much would you have to deposit if: a.You want to deposit an equal amount at the end of each year? b.You want to deposit one large lump sum today?

(Short Answer)
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You can buy a $50 savings bond today for $25 and redeem the bond in 10 years for its full face value of $50.You could also put your money in a money market account that pays 7% interest per year.Which option is better,assuming they are of equal risk?

(Multiple Choice)
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Bill starts a retirement fund at age 21 and plans on depositing equal annual amounts on each birthday,starting at age 21,and ending at age 60.He wants to have $2 million at age 60.John starts his fund on his 30th birthday.He wants to deposit equal annual amounts on each birthday starting on his 30th birthday and ending on his 60th birthday.John wants to have $2 million at age 60.If the investment funds earn 10% per year,calculate the amounts the Bill and John respectively will have to save each year (rounded to the nearest dollar)to meet their goals.Comment on the difference.

(Essay)
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You have just purchased a share of preferred stock for $50.00.The preferred stock pays an annual dividend of $5.50 per share forever.What is the rate of return on your investment?

(Multiple Choice)
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Timelines are used for simple time value of money problems,but cannot be used for more complex problems.

(True/False)
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Leigh Delight Candy,Inc.is choosing between two bonds in which to invest their cash.One is being offered from Hershey's and will mature in 10 years and pay $30 each quarter.The other alternative is a Mars' bond that will mature in 20 years and pay $30 each quarter.What would be the present value of each bond if the discount rate is 10% compounded quarterly,and each bond pays $1,000 at maturity?

(Short Answer)
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Today is your 21st birthday and your bank account balance is $25,000.Your account is earning 6.5% interest compounded quarterly.How much will be in the account on your 50th birthday?

(Multiple Choice)
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A bond matures in 20 years,at which time it pays the owner $1,000.It also pays $70 at the end of each of the next 20 years.If similar bonds are currently yielding 7%,what is the market value of the bond?

(Multiple Choice)
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You are thinking of buying a craft emporium.It is expected to generate cash flows of $30,000 per year in years 1 through 5,and $40,000 per year in years 6 through 10.If the appropriate discount rate is 8%,what amount are you willing to pay for the emporium?

(Multiple Choice)
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The present value of a deferred annuity .

(True/False)
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Auto Loans R Them loans you $24,000 for four years to buy a car.The loan must be repaid in 48 equal monthly payments.The annual interest rate on the loan is 9 percent.What is the monthly payment?

(Multiple Choice)
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If you put $10,000 in an investment that returns 11 percent compounded monthly what would you have after 10 years (round to nearest $1)?

(Multiple Choice)
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You inherit $300,000 from your parents and want to use the money to supplement your retirement.You receive the money on your 65th birthday,the day you retire.You want to withdraw equal amounts at the end of each of the next 20 years.What constant amount can you withdraw each month and have nothing remaining at the end of 20 years if you are earning 7% interest compounded monthly?

(Multiple Choice)
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The same underlying formula is used for computing both the future value and present value.

(True/False)
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