Exam 5: The Time Value of Money

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Compounding: Chung Lee wants to invest $3,000 in an account paying 5.25 percent compounded quarterly. What is the interest on interest after four years?

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Explain the difference between simple interest and compound interest.

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Growth rate: Peterson Electrical Supplies has generated a net income of $161,424 this year. The firm expects to see an annual growth of 30 percent for the next five years, followed by a growth rate of 15 percent for each of the next three years. What will be the firm's expected net income in eight years? (Round to the nearest dollar.)

(Multiple Choice)
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Multiple compounding periods (FV): Your brother has asked you to help him with choosing an investment. He has $5,000 to invest today for a period of two years. You identify a bank CD that pays an interest rate of 4.25 percent with the interest being paid quarterly. What will be the value of the investment in two years?

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The Rule of 72 allows one to calculate the return earned on an investment over six years.

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Berrian invested $5,000 in an account earning 10 percent for one year. If he had left his investment in that account for another two years, he would expect the total interest earned over the three years to be higher by exactly $1,000.

(True/False)
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The Rule of 72

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Multiple compounding periods (FV): Your mother is trying to choose one of the following bank CDs to deposit $10,000. Which one will have the highest future value if she plans to invest for three years?

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Multiple compounding (PV): Darius Miller is seeking to accumulate $50,000 in six years to invest in a real estate venture. He can earn 6.35 percent annual interest with monthly compounding in a private investment. How much will he have invest today to reach his goal? (Round to the nearest dollar.)

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Which one of the following statements is NOT true?

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The process of converting an amount given at the present time into a future value is called

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Multiple compounding periods (FV): Hector Cervantes started on his first job last year and plans to save for a down payment on a house in 10 years. He will be able to invest $12,000 today in a money market account that will pay him an interest of 6.25 percent on a monthly basis. How much will he have at the end of 10 years?

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Which of the following statements is false with respect to the present value of a future amount?

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If Bank A pays interest on a monthly basis and Bank B pays the same interest on a quarterly basis, then investing $1,000 in Bank B will lead to a higher future value than investing the same amount in Bank A.

(True/False)
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The present value technique uses discounting to find the present value of each cash flow at the beginning of the project.

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The higher the discount rate, the lower the present value of a future cash flow.

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Your aunt is looking to invest a certain amount today. Which of the following choices should she opt for?

(Multiple Choice)
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If you had a choice of choosing a payment of $5,000 to be received in five years being discounted at 8 percent or at 10 percent, you should always choose the higher rate because it gives you the higher present value.

(True/False)
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Future Value: Herbert Hall just received an inheritance of $35,775 from his great aunt. He plans to invest the funds for retirement. If Herbert can earn 4.75% per year with quarterly compounding for 32 years, how much will he have accumulated? (Round off to the nearest dollar.)

(Multiple Choice)
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Compounding accelerates the growth of the total interest earned.

(True/False)
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