Exam 5: The Time Value of Money

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The present value of an annuity due equals the present value of an ordinary annuity times the discount rate.

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An amortizing loan is one in which:

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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 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." Assuming that the salesperson does not offer a free lunch, calculate the "appropriate" down payment.

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What happens over time to the real cost of purchasing a home if the mortgage payments are fixed in nominal terms and inflation is in existence?

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Which one of the following factors is fixed and thus cannot change for a specific perpetuity?

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When an investment pays only simple interest, this means:

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A cash-strapped young professional offers to buy your car with four, equal annual payments of $3,000, beginning 2 years from today. 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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What APR is being earned on a deposit of $5,000 made 10 years ago today if the deposit is worth $9,848.21 today? The deposit pays interest semiannually.

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"Give me $5,000 today and I'll return $10,000 to you in 5 years," offers the investment broker. To the nearest percent, what annual interest rate is being offered?

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What is the present value of $100 to be deposited today into an account paying 8%, compounded semiannually for 2 years?

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Approximately how much must be saved for retirement in order to withdraw $100,000 per year for the next 25 years if the balance earns 8% annually, and the first payment occurs one year from now?

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The APR on a loan must be equal to the effective annual rate when:

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

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A credit card account that charges interest at the rate of 1.25% per month would have an annually compounded rate of _____ and an APR of ____.

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You're ready to make the last of four equal, annual payments on a $1,000 loan with a 10% interest rate. If the amount of the payment is $315.47, how much of that payment is accrued interest?

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Accrued interest declines with each payment on an amortizing loan.

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An annual percentage rate (APR) is determined by annualizing the rate using compound interest.

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Discuss the statement, "Money has a time value."

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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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