Exam 2: How to Calculate Present Values

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An investment at 10.47% effective rate compounded monthly is equal to a nominal (annual) rate of:

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If the interest rate is 12%, what is the 2-year discount factor?

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A

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

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C

Define the term "perpetuity."

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Which of the following statements is true?

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"Accept investments that offer rates of return in excess of opportunity cost of capital".

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"Accept investments that have positive net present values" is called the net present value rule.

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An investment at 12% nominal rate compounded monthly is equal to an annual rate of:

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What is the net present value of the following cash flow at a discount rate of 11%? What is the net present value of the following cash flow at a discount rate of 11%?

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At an interest rate of 10%, which of the following cash flows should you prefer? At an interest rate of 10%, which of the following cash flows should you prefer?

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For $10,000 you can purchase a 5-year annuity that will pay $2358.65 per year for five years. The payments are made at the beginning of each year. Calculate the effective annual interest rate implied by this arrangement: (approximately)

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An equal-payment home mortgage is an example of an annuity.

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John House has taken a 20-year, $250,000 mortgage on his house at an interest rate of 6% per year. What is the value of the mortgage after the payment of the fifth annual installment?

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What is the present value annuity factor at an interest rate of 9% for 6 years?

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

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Briefly explain the term "discount rate."

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The value of a five-year annuity is equal to the sum of two perpetuities. One makes its first payment in year 1, and the other makes its first payment in year 6.

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

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If the present value annuity factor at 8% APR for 10 years is 6.71, what is the equivalent future value annuity factor?

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If the present value annuity factor at 12% APR for 5 years is 3.6048, what is the equivalent future value annuity factor?

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