Exam 5: The Time Value of Money

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The present value of an annuity stream of $100 per year is $614 when valued at a 10 percent rate.By approximately how much would the value change if these were annuities due?

(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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After reading the fine print in your credit card agreement, you find that the "low" interest rate is actually an 18 percent APR, or 1.5 percent per month.Now, to make you feel even worse, calculate the effective annual interest rate.

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An APR will be equal to an effective annual rate if:

(Multiple Choice)
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What is the difference between the effective annual rate and the nominal rate if the nominal rate is compounded annually?

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Accrued interest declines with each payment on an amortizing loan.

(True/False)
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If $120,000 is borrowed for a home mortgage, to be repaid at 9 percent interest over 30 years with monthly payments of $965.55, how much interest is paid over the life of the loan?

(Multiple Choice)
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If a borrower promises to pay you $1,900 nine years from now in return for a loan of $1,000 today, what effective annual interest rate is being offered?

(Multiple Choice)
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Discuss the statement, "Money has a time value."

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A corporation has promised to pay $1,000 twenty years from today for each bond sold now.No interest will be paid on the bonds during the twenty years, and the bonds are said to offer a 7 percent interest rate.Approximately how much should an investor pay for each bond?

(Multiple Choice)
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Appleton University seeks to setup a scholarship for its students in perpetuity.Every six months, $5,000 will be provided to students.If interest is 4.8% compounded monthly, determine the amount that must be invested in order to deliver on the semi-annual scholarship.

(Multiple Choice)
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"Give me $5,000 today and I'll return $20,000 to you in five years," offers the investment broker.To the nearest percent, what annual interest rate is being offered?

(Multiple Choice)
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A cash-strapped young professional offers to buy your car with four, equal annual payments of $3,000, beginning two years from today.Assuming you're indifferent to cash versus credit, that you can invest at 10 percent, and that you want to receive $9,000 for the car, should you accept?

(Multiple Choice)
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What is the present value of the following set of cash flows at an interest rate of 7 percent; $1,000 today, $2,000 at end of year one, $4,000 at end of year three, and $6,000 at end of year five?

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

(Multiple Choice)
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$50,000 is borrowed, to be repaid in three equal, annual payments with 10% interest.Approximately how much principal is amortized with the first payment?

(Multiple Choice)
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How much can be accumulated for retirement if $2,000 is deposited annually, beginning one year from today, and the account earns 9 percent interest compounded annually for 40 years?

(Multiple Choice)
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An effective annual rate must be greater than an annual percentage rate.

(True/False)
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Jackson purchased a $40,000 sports car through a 60 month financing plan.The interest rate was 4.95% compounded monthly.At the end of year 3, Jackson wanted to pay off the outstanding balance.Determine the amount that must be paid off by Jackson

(Multiple Choice)
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A dollar tomorrow is worth more than a dollar today.

(True/False)
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