Exam 2: How to Calculate Present Values

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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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Briefly explain the concept of risk.

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A dollar today is worth more than a dollar tomorrow if the interest rate is positive.

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In the case of a growing perpetuity, the present value of the cash flow is given by: [C1/(r - g)] where r > g.

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If the present value of $1.00 received n years from today at an interest rate of r is 0.621, then what is the future value of $1.00 invested today at an interest rate of r% for n years?

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The opportunity cost of capital is higher for safe investments than for risky ones.

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

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You would like to have enough money saved to receive $100,000 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 start one year from the date of your retirement. The interest rate is 12.5%)?

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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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Briefly explain, "continuous compounding."

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For $10,000 you can purchase a 5-year annuity that will pay $2504.57 per year for five years. The payments are made at the end of each year. Calculate the effective annual interest rate implied by this arrangement: (approximately)

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The managers of a firm can maximize stockholder wealth by:

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

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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 compound interest?

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The net present value formula for one period is: I. NPV = C0 + [C1/(1 + r)]; II) NPV = PV required investment; and III. NPV = C0/C1

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State the "rate of return rule."

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The opportunity cost of capital for a risky project is

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John House has taken a $250,000 mortgage on his house at an interest rate of 6% per year. If the mortgage calls for twenty equal annual payments, what is the amount of each payment?

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