Exam 2: How to Calculate Present Values

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Which of the following is generally considered an example of a perpetuity?

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C

Mr.Hopper expects to retire in 30 years, and he wishes to accumulate $1,000,000 in his retirement fund by that time.If the interest rate is 12 percent per year, how much should Mr.Hopper put into his retirement fund at the end of each year in order to achieve this goal?

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A

If the one-year discount factor is 0.8333, what is the discount rate (interest rate) per year?

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B

An investment at 12 percent APR compounded monthly is equal to an effective annual rate of

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What is the net present value of the following sequence of annual cash flows at a discount rate of 16 percent APR? t=1100,000t=2300,000\frac { t = 1 } { 100,000 } \quad \frac { t = 2 } { 300,000 }

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The one-year discount factor, at a discount rate of 25 percent per year, is

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Which of the following statements regarding the net present value rule and the rate of return rule is false?

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Briefly explain the concept of risk.

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If the present value of $1 received n years from today at an interest rate of r is 0.3855, then what is the future value of $1 invested today at an interest rate of r percent for n years?

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Ms.Colonial has just taken out a $150,000 mortgage at an interest rate of 6 percent per year.If the mortgage calls for equal monthly payments for 20 years, what is the amount of each payment? (Assume monthly compounding or discounting.)

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After retirement, you expect to live for 25 years.You would like to have $75,000 income each year.How much should you have saved in your retirement account to receive this income if the annual interest rate is 9 percent per year? (Assume that the payments start one year after your retirement.)

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If the one-year discount factor is 0.90, what is the present value of $120 expected one year from today?

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If the present value annuity factor at 10 percent for 10 years is 6.1446, what is the equivalent future value annuity factor?

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A safe dollar is always worth less than a risky dollar because the rate of return on a safe investment is generally low and the rate of return on a risky investment is generally high.

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If the present value of $250 expected one year from today is $200, what is the one-year discount rate?

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What is the present value of the following cash flows at a discount rate of 9 percent? Year 1 Year 2 Year 3 \ 100.000 \ 150.000 \ 200,000

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What is the present value of a $1,000 per year annuity for five years at an interest rate of 12 percent?

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If the five-year present value annuity factor is 3.60478 and the four-year present value annuity factor is 3.03735, what is the present value of the $1 received at the end of five years?

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The managers of a firm can maximize stockholder wealth by

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If the future value of $1 invested today at an interest rate of r percent for n years is 9.6463, what is the present value of $1 to be received in n years at r percent interest rate?

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