Exam 2: How to Calculate Present Values

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An investment at 10% compounded continuously has an equivalent annual rate of:

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Briefly explain the concept of risk.

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For $10,000,you can purchase a five-year annuity that will pay $2,504.57 per year for five years.The payments occur at the end of each year.Calculate the effective annual interest rate implied by this arrangement.

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An annuity is an asset that pays a fixed amount each period for a specified number of periods.

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One can find a project's net present value by subtracting the present value of its required investment from the present value of its future cash flows.

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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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You would like to have enough money saved to receive a growing annuity for 25 years,growing at a rate of 4% per year,with the first payment of $60,000 occurring exactly one year after retirement.How much would you need to save in your retirement fund to achieve this goal? (The interest rate is 12%.)

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

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You would like to have enough money saved after your retirement such that you and your heirs can receive $100,000 per year in perpetuity.How much would you need to have saved at the time of your retirement in order to achieve this goal? (Assume that the perpetuity payments start one year after the date of your retirement.The annual interest rate is 12.5%.)

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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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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 statements regarding the NPV rule and the rate of return rule is false?

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You just inherited a trust that will pay you $100,000 per year in perpetuity.However,the first payment will not occur for exactly four more years.Assuming an 8% annual interest rate,what is the value of this trust?

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

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The rate of return is also called the: I) Discount rate; II)hurdle rate; III)opportunity cost of capital

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An investment having a 10.47% effective annual rate (EAR)has what APR? (Assume monthly compounding.)

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The present value of $100,000 expected at the end of one year,at a discount rate of 25% per year,is:

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The present value of a $100 per year perpetuity at 10% per year interest rate is $1000.What would be the present value of this perpetuity if the payments were compounded continuously?

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What is the six-year present value annuity factor at an interest rate of 9%?

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The present value formula for a cash flow expected one period from now is:

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