Exam 5: The Time Value of Money

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What is the effective annual rate if a bank charges you 7.64% compounded quarterly?

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A sports team in an effort to solve the salary cap problem has offered a player a contract of $1 million dollars a year for the next season with the payments growing at 7% per year for the next 25 years. The player believes the discount rate for such payments is 13%. What is the value today of taking this contract?

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The compound value is defined as:

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The present value factor is:

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The BobIU Computer Graphics Co. has just produced a new multimedia graphics chip which will cost $6,000,000 this year to put into production. They anticipate net cash flows of $3 million next year, $2million, $1 million, $.5 million, $.25 million and then $0 over each of the following years. The two owners require a 15% return on their investment. The value of this investment to the firm is:

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In the equation, NPV = -Cost + PV, the term Cost is the:

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An equal stream of payments that lasts forever is:

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Which of the following amounts is closest to the end value of investing $10,000 for 1 1/2 years at a stated annual interest rate of 12% compounded quarterly?

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Aunt Clarisse has promised to leave you an annuity that will pay $60 next year and grow at an annual rate of 4%. The payments are expected to go on indefinitely and the interest rate is 9%. What is the value of the growing perpetuity?

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Your parents are giving you $100 a month for four years while you are in college. At a 6% discount rate, what are these payments worth to you when you first start college?

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Which of the following amounts is closest to the present value of a payment of $21,000 three years from now if the effective annual interest rate is 4%?

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If the compound period is greater than one:

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A court settlement awarded an accident victim four payments of $50,000 to be paid at the end of each of the next four years. Using a discount rate of 4%, calculate the present value of the annuity.

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You are the beneficiary of a life insurance policy. The insurance company informs you that you have two options for receiving the insurance proceeds. You can receive a lump sum of $50,000 today or receive payments of $641 a month for ten years. You can earn 6.5% on your money. Which option should you take and why?

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Which of the following amounts is closest to the end value of investing $9,000 for 7 years at a continuously compounded rate of 11%?

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The discount rate is adjusted:

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Which of the following amounts is closest to the end value of investing $3,000 for 3/4 year at a continuously compounded rate of 12%?

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What is the future value of the following cash flows at the end of year 3 if the interest rate is 6%? The cash flows occur at the end of each year. What is the future value of the following cash flows at the end of year 3 if the interest rate is 6%? The cash flows occur at the end of each year.

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If you have a choice to earn simple interest on $10,000 for three years at 8% or compound interest at 7.5% for three years which one will pay more and by how much?

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Your employer contributes $25 a week to your retirement plan. Assume that you work for your employer for another twenty years and that the applicable discount rate is 5%. Given these assumptions, what is this employee benefit worth to you today?

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