Exam 5: The Time Value of Money

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What will be the monthly payment on a home mortgage of $75,000 at 12% interest compounded monthly,to be amortized over 30 years?

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The salesperson offers,"Buy this new car for $25,000 cash or,with an appropriate down payment,pay $500 per month for 48 months at 8% interest,compounded monthly." Calculate the "appropriate" down payment.

(Multiple Choice)
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A loan officer states,"Thousands of dollars can be saved by switching to a 15-year mortgage from a 30-year mortgage." Calculate the difference in payments on a 30-year mortgage at 9% interest versus a 15-year mortgage with 8.5% interest.Both mortgages are for $100,000 and have monthly payments.What is the difference in total dollars that will be paid to the lender under each loan? (Round the monthly payment amounts to 2 decimal places.Both interest rates are compounded monthly.)

(Multiple Choice)
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When an investment pays only simple interest,this means:

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Cash flows occurring in different periods should not be compared unless:

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Prizes are often not "worth" as much as claimed.Place a value on a prize of $5,000,000 that is to be received in equal payments over 20 years,with the first payment beginning today.Assume an interest rate of 7%.

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How much will accumulate in an account with an initial deposit of $100,and which earns 10% interest compounded quarterly for 3 years?

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A stream of equal cash payments lasting forever is termed as:

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If the effective annual rate of interest is known to be 16.08% on a debt that has quarterly payments,what is the annual percentage rate?

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The appropriate manner of adjusting for inflationary effects is to discount nominal cash flows with real interest rates.

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How much can be accumulated for retirement if $2,000 is deposited annually,beginning 1 year from today,and the account earns 9% interest compounded annually for 40 years?

(Multiple Choice)
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A cash-strapped young professional offers to buy your car with four,equal end of year annual payments of $3,000,beginning 2 years from today (the first payment will be made on the last day of year 2).Assuming you're indifferent to cash versus credit,that you can invest at 10%,and that you want to receive $9,000 for the car,should you accept?

(Multiple Choice)
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Under which of the following conditions will a future value calculated with simple interest exceed a future value calculated with compound interest at the same rate?

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How much interest can be accumulated during one year on a $1,000 deposit paying continuously compounded interest at an APR of 10%?

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Your retirement account has a current balance of $50,000.What interest rate would need to be earned in order to accumulate a total of $1,000,000 in 30 years,by adding $6,000 annually?

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An effective annual rate must be greater than an annual percentage rate.

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

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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.Both interest rates are compounded monthly.)

(Multiple Choice)
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What is the APR on a loan that charges interest at the rate of 1.4% per month?

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

(Multiple Choice)
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