Exam 9: The Time Value of Money

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Ambrin Corp. expects to receive $2,000 at the end of each year for 10 years. Then the corporation expects to receive $3,500 per year for the following 10 years, at the end of each year. What is the approximate present value of this 20-year cash flow? Use an 8% discount rate.

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You will deposit $2,000 today. It will grow for five years at 12% interest, but compounded semiannually. You will then withdraw the funds annually over the next four years at the end of each year, with an annual interest rate of 8%. Your annual withdrawal will be approximately ________.

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Higher interest rates reduce the present value amount.

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Mr. Darden is selling his house for $200,000. He bought it for $164,000 ten years ago. What is the annual return on his investment?

(Multiple Choice)
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Time value of money considers which of the following item(s) that change the value of money?

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Discounting refers to devaluing the item from the higher future value amount to the present value amount through the consideration of interest.

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In determining the future value of a single amount, one must consider

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The present value of a positive future inflow can become negative as discount rates become higher and higher.

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The interest factor for the present value of a single amount is the reciprocal of the future value interest factor.

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To save for her newborn son's college education, Lea Wilson will invest $1,000 at the end of each year for the next 20 years. The interest rate is 10%. What is the future value?

(Multiple Choice)
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A home buyer signed a 20-year, 8% mortgage for $72,500. Given the following information, how much should the annual loan payments be?

(Multiple Choice)
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Sharon Smith will receive $1 million in 20 years. The discount rate is 10%. As an alternative, she can receive $200,000 today. Which should she choose?

(Multiple Choice)
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John Doeber borrowed $150,000 to buy a house. His loan cost was 6% and he promised to repay the loan in 10 equal annual payments. What is the principal outstanding after the first loan payment?

(Multiple Choice)
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To calculate "Future or Present Values of an "Annuity Due," we must assume that payments happen twice as often.

(True/False)
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The interest factor (IF) for the future value of an ordinary annuity is 4.641 at 10% for four years. If we wish to accumulate $8,000 by the end of four years, how much should the annual payments be?

(Multiple Choice)
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Mr. Bubble wants to sell his bubble machine for $1,000,000, but it might take awhile before it is valued that high. He bought it for $149,000 and is earning annual interest of 10% on the machine. How long will Mr. Bubble have to wait before the machine is valued at $1,000,000?

(Multiple Choice)
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Discounted at 10%, $1,000 received at the end of each year for three years is worth less than $2,700 received today.

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Carol Thomas will pay out $6,000 at the end of year two and $8,000 at the end of year three. Then Carol will receive $10,000 at the end of year four. With an interest rate of 10%, what is the net value of the payments versus receipts in today's dollars?

(Multiple Choice)
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A company wants to find the yield on an investment that requires a certain amount today in which then returns a single amount some time in the future. Which time value of money table would the company use?

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The time value of money is not a useful concept in determining the value of a bond or in capital investment decisions.

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