Exam 6: Time Value of Money

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The present value interest factor for i percent and n periods is the inverse of the future value interest factor for k percent and n periods.

(True/False)
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A generous benefactor to the local ballet plans to make a one-time endowment which would provide the ballet with $150,000 per year into perpetuity. The rate of interest is expected to be 5 percent for all future time periods. How large must the endowment be?

(Multiple Choice)
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You have a choice between two investments. Investment A provides your with $1,000 today; investment B provides you with $10,000 in 10 years. Assuming a discount rate of 10%, you would be better off with investment B.

(True/False)
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The rate of interest actually paid or earned is the ________interest rate.

(Multiple Choice)
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Carol borrows $20,000 from the bank. For a five year loan, the bank requires annual end-of-year payments of $4,878.05. The annual interest rate on the loan is

(Multiple Choice)
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Marion makes annual end-of-year payments of $6,260.96 on a five year loan with an 8 percent interest rate. The original principal amount was _________.

(Multiple Choice)
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A perpetuity is a cash flow stream that

(Multiple Choice)
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James plans to fund his individual retirement account, beginning today, with 20 annual deposits of$2,000, which he will continue for the next 20 years. If he can earn an annual compound rate of 8percent on his deposits, the amount in the account upon retirement will be________ .

(Multiple Choice)
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The future value of a dollar ________as the interest rate increases and ________ the farther in the future an initial deposit is to be received.

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The present value of a $20,000 perpetuity at a 7 percent discount rate is ________

(Multiple Choice)
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A ski chalet in Aspen now costs $250,000. Inflation is expected to cause this price to increase at 5 percent per year over the next 10 years before Barbara and Phil retire from successful investment banking careers. How large an equal annual end-of-year deposit must be made into an account paying an annual rate of interest of 13 percent in order to buy the ski chalet upon retirement?

(Multiple Choice)
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Given a discount rate of zero percent and n periods of time, the present value interest factor and future value interest factor are equal.

(True/False)
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Interest earned on a given deposit that has become part of the principal at the end of a specified period is called compound interest.

(True/False)
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When the amount earned on a deposit has become part of the principal at the end of a specified time period, the concept is called

(Multiple Choice)
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The rate of interest agreed upon contractually charged by a lender or promised by a borrower is ________theinterest rate.

(Multiple Choice)
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What is the rate of return on an investment of $124,090 if the company expects to receive $10,000 per year for the next 30 years?

(Multiple Choice)
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The effective rate of interest differs from the nominal rate of interest in that it reflects the impact ofcompounding frequency.

(True/False)
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At 10% per annum, $100 to be received in one year and $200 to be received in two years is worth$288 today.

(True/False)
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If you desire to have $1,000,000 in 25 years, you need to save $309 at the end of each month toachieve your goal assuming a 1.25% per month rate of return.

(True/False)
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You currently have $100,000 in the stock market.per annum return. You estimate that you will need $250,000 from this investment before you canretire. How many years are you from retirement?

(Multiple Choice)
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