Exam 5: The Time Value of Money

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A furniture store is offering free credit on purchases over $1,000.You observe that a big-screen television can be purchased for nothing down and $4,000 due in one year.The store next door offers an identical television for $3,650 but does not offer credit terms.Which statement below best describes the cost of the "free" credit?

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What is the discount factor for $1 to be received in 5 years at a discount rate of 8%?

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Three thousand dollars is deposited into an account paying 10% annually to provide three annual withdrawals of $1,206.34 beginning in one year.How much remains in the account after the second payment has been withdrawn?

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How much interest is earned in just the third year on a $1,000 deposit that earns 7% interest compounded annually?

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The more frequent the compounding,the higher the future value,other things equal.

(True/False)
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Would a depositor prefer an APR of 8% with monthly compounding or an APR of 8.5% with semiannual compounding?

(Multiple Choice)
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Comparing the values of undiscounted cash flows is analogous to comparing apples to oranges.

(True/False)
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The present value of an annuity due equals the present value of an ordinary annuity times the discount rate.

(True/False)
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What will be the approximate population of the Canada,if its current population of 35 million grows at a compound rate of 2% annually for 25 years?

(Multiple Choice)
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To calculate present value,we discount the future value by some interest rate r,the discount rate.

(True/False)
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When money is invested at compound interest,the growth rate is the interest rate.

(True/False)
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Your car loan requires payments of $200 per month for the first year and payments of $400 per month during the second year.The annual interest rate is 12% and payments begin in one month.What is the present value of this 2-year loan?

(Multiple Choice)
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You invested $1,200 three years ago.During the three years,you earned annual rates of return of 4.8%,9.2%,and 11.6%.What is the value of this investment today?

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The present value of a perpetuity can be determined by:

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

(True/False)
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What is the present value of your trust fund if you have projected that it will provide you with $50,000 on your 30th birthday (7 years from today)and it earns 10% compounded annually?

(Multiple Choice)
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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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What is the annually compounded rate of interest on an account with an APR of 10% and monthly compounding?

(Multiple Choice)
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After reading the fine print in your credit card agreement,you find that the "low" interest rate is actually an 18% APR,or 1.5% per month.What is the effective annual rate?

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A car dealer offers payments of $522.59 per month for 48 months on a $25,000 car after making a $4,000 down payment.What is the loan's APR?

(Multiple Choice)
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