Exam 5: The Time Value of Money

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As long as the interest rate is positive,the future value will always be larger than the present value given any period of time.

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What is the future value of $10,000 on deposit for 2 years at 6% simple interest?

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Assume the total expense for your current year in college equals $20,000.How much would your parents have needed to invest 21 years ago in an account paying 8% compounded annually to cover this amount?

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For a given amount,the lower the discount rate,the less the present value.

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Someone offers to buy your car for four,equal annual payments,beginning 2 years from today.If you think that the present value of your car is $9,000 and the interest rate is 10%,what is the minimum annual payment that you would accept?

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Present values decline as the time to the cash flows increases.

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You are considering the purchase of a home that would require a mortgage of $150,000.How much more in total interest will you pay if you select a 30-year mortgage at 5.65% rather than a 15-year mortgage at 4.9%? (Round the monthly payment amount to 2 decimal places.)

(Multiple Choice)
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A perpetuity of $5,000 per year beginning today offers a 15% return.What is its present value?

(Multiple Choice)
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Prizes are often not "worth" as much as claimed.What is the value of a prize of $5,000,000 that is to be received in 20 equal yearly payments,with the first payment beginning today? Assume an interest rate of 7%.

(Multiple Choice)
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Miller's Hardware plans on saving $42,000,$54,000,and $58,000 at the end of each year for the next three years,respectively.How much will the firm have saved at the end of the three years if it can earn 4.5% on its savings?

(Multiple Choice)
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Compound interest pays interest for each time period on the original investment plus the accumulated interest.

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Which one of the following will increase the present value of an annuity,other things equal?

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Assume you are making $989 monthly payments on your amortized mortgage.The amount of each payment that is applied to the principal balance:

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The discount factor is used to calculate the present value of $1 received in year t.

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The term "constant dollars" refers to equal payments for amortizing a loan.

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A dollar tomorrow is worth more than a dollar today.

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An annuity factor represents the future value of $1 that is deposited today.

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You should never compare cash flows occurring at different times without first discounting them to a common date.

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The five-year discount factor is less than the four-year discount factor.

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When inflation is positive,the nominal interest rate is larger than the real rate.

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