Exam 5: The Time Value of Money

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The effective rate of interest will always be the nominal rate.

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Sales for Triad Inc.have grown from $2 million to $8.092 million in 10 years.What is the implied growth rate of sales for Triad?

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Jenny Genius wants to purchase a new car.She knows that she can afford to pay $250 per month and that her bank will charge her 8% interest on the car loan.She intends to pay off the car in five years.Interest will be compounded monthly.Of the following, which is the most expensive vehicle in her price range that she could consider?

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When you purchased a car, you borrowed $20,000 from the bank at 9.20% and agreed to make monthly payments for 3 years.What is your monthly payment?

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What is the difference between the nominal interest rate and the effective interest rate?

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Roy, who has just turned 40, would like to have an annual annuity of $20,000 paid over a 20 year period, the first payment occurring on his 66th birthday.How much must Roy save each year (end of year) for the next 25 years to have this annuity, if the investment will earn 12 percent compounded annually?

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Comet Powder Company has purchased a piece of equipment costing $100,000.It is expected to generate a ten- year stream of benefits amounting to $16,273 per year.Determine the rate of return Comet expects to earn from this equipment.

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Which of the following statements is/are correct?

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Explain a perpetuity and list some investment vehicles that can be perpetuities.

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Baggos has seen their EPS increase from $0.30 to $3.16 in seven years.What has been the growth rate of Baggos's EPS?

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An insurance company offers you an end of year annuity of $48,000 per year for the next 20 years.They claim your return on the annuity is 9 percent.What should you be willing to pay today for this annuity?

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If you invest the $10,000 you receive at graduation (age 22) in a mutual fund that averages a 12% annual return, how much will you have at retirement in 40 years?

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In six years, your daughter will be going to college.You wish to have a fund that will provide her $10,000 per year (end of year) for each of her four years in college.How much must you put into that fund today if the fund will earn 10 percent in each of the 10 years?

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More frequent compounding results in future values and present values than less frequent compounding at the same interest rate.

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John is 25 years old and wishes to retire in 30 years.His plan is to invest in a mutual fund earning a 12 percent annual return and have a $1 million retirement fund at age 55.How much must he invest at the end of each year to achieve this goal?

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You wish to save $500,000 in the next 25 years.You notice that a corporate bond fund earns about 11 percent per year and that is where you put your savings.How much must you save each year to obtain your goal?

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Your firm, New Sunrise, has just leased a $28,000 BMW for you.The lease requires six beginning of the year payments that will fully amortize the cost of the car.What is the amount of the payments if the interest rate is 12 percent?

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Your brother, who is 6 years old, just received a trust fund that will be worth $25,000 when he is 21 years old.If the fund earns 10 percent interest compounded annually, what is the value of the fund today?

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The basic future value equation is given by

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What is the value in 10 years of $10,000 deposited in an account earning 8% compounded monthly?

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