Exam 6: Time Value of Money

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More frequent compounding results in ____ future values and ____ present values than less frequent compounding at the same nominal interest rate.

(Multiple Choice)
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A thirty year $200,000.00 mortgage has a monthly payment of $1,199.10 based on a rate of 6% APR. After making 180 payments over fifteen years, how much of the mortgage do you still owe?

(Multiple Choice)
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Find the present value of a perpetuity of $1,500 per year, given a 20% opportunity cost.

(Multiple Choice)
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What amount received at the end of 20-years is equivalent to $100 today, given an interest rate of 14%?

(Multiple Choice)
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Which of the following phrases would not be utilized if the payments were an annuity due?

(Multiple Choice)
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If money has a time value, then the future value of an investment will always be more than the original amount invested and the present value of an investment will always be less than the anticipated future sum of money.

(True/False)
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If you deposit $3500 in a bank account paying 6% interest and leave it there for fifteen years, how much will you have?

(Multiple Choice)
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An increase in the number of time periods reduces the present value of an annuity if all other variables are held constant.

(True/False)
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Opportunity cost is the:

(Multiple Choice)
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Assume you want to pay off your $10,000, 30-month car loan after only the first 12 months of payments. With interest at 12% compounded monthly, how much will you need pay off the loan in full at the end of the first year?

(Multiple Choice)
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After watching "Who Wants to Be a Millionaire," you have decided you want to join the millionaire's club. Your goal is to have $1,000,000 in 35 years. If you can invest in a mutual fund that you project will earn a 10% return, how much must you invest each year to meet your goal? (Round to nearest $)

(Multiple Choice)
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If you deposit $250 each quarter in a bank account that pays interest at 16% compounded quarterly, how much will you have at the end of five years?

(Multiple Choice)
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Holding all other variables constant, an increase in the interest rate will cause ____ to decrease.

(Multiple Choice)
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Joan is saving to open her own dress shop in 10 years. She currently has $10,000. In addition, she plans to save $2,000 per year for the next 5 years and $3,000 per year for the following 5 years. How much will Joan have in 10 years if she earns a 10 % return on her savings?

(Multiple Choice)
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An insurance company offers you an end of year annuity of $48,000 per year for the next 20 years. They claim your return on the annuity is 9 percent. What should you be willing to pay today for this annuity?

(Multiple Choice)
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You wish to save $500,000 in the next 25 years. You notice that a corporate bond fund that earns about 11 percent per year and decide to invest in it. How much must you save each year to obtain your goal?

(Multiple Choice)
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The term knom represents the effective annual rate of interest.

(True/False)
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What is the rate of return on an investment if you lend $1,000 and are repaid $1,254.70 two years later?

(Multiple Choice)
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What is the amount of the equal annual installments for a 10-year, $10,000 loan with a 20% rate of interest?

(Multiple Choice)
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The future value factor for an annuity of n periods can be obtained by adding the future value factors for amounts for 1 through n periods.

(True/False)
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