Exam 2: How to Calculate Present Values

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Which of the following statements is true?

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If you invest $100 at 12% APR for three years, how much would you have at the end of 3 years using simple interest?

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

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According to the net present value rule, an investment in a project should be made if the:

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If the present value of $480 to be paid at the end of one year is $400, what is the one-year discount factor?

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One year discount factor at a discount rate of 25% per year is:

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What is the present value annuity factor at a discount rate of 11% for 8 years?

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What is the difference between simple interest and compound interest?

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Present Value is defined as:

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An initial investment of $500 produces a cash flow $550 one year from today. Calculate the rate of return on the project

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State the "net present value rule."

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What is the present value of the following cash flow at a discount rate of 16% APR? -100,00 300,000

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Mr. Hopper is expected to retire in 25 years and he wishes accumulate $750,000 in his retirement fund by that time. If the interest rate is 10% per year, how much should Mr. Hopper put into the retirement fund each year in order to achieve this goal? [Assume that the payments are made at the end of each year]

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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 the retirement to receive this income, if the interest is 9% per year (assume that the payments start on the day of retirement)?

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

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You would like to have enough money saved to receive an $80,000 per year perpetuity after retirement so that you and your family can lead a good life. How much would you need to save in your retirement fund to achieve this goal (assume that the perpetuity payments starts on the day of retirement. The interest rate is 10%)?

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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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What is the present value of the following cash flow at a discount rate of 9%? Year 1 Year 2 Year 3 \ 100,000 \ 150,000 \ 200,000

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

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