Exam 28: Time Value of Money

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Your bank offers a 10-year certificate of deposit (CD)that pays 6.5% interest,compounded annually.If you invest $2,000 in the CD,how much will you have when it matures?

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The going rate of interest on a 5-year treasury bond is 4.25%.You have one that will pay $2,500 five years from now.How much is the bond worth today?

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Suppose a State of North Carolina bond will pay $1,000 ten years from now.If the going interest rate on these 10-year bonds is 5.5%,how much is the bond worth today?

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How much would $100,growing at 5% per year,be worth after 75 years?

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A time line is meaningful even if all cash flows do not occur annually.

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When a loan is amortized,a relatively low percentage of the payment goes to reduce the outstanding principal in the early years,and the principal repayment's percentage increases in the loan's later years.

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Your aunt wants to retire and has $375,000.She expects to live for another 25 years,and she also expects to earn 7.5% on her invested funds.How much could she withdraw at the beginning of each of the next 25 years and end up with zero in the account?

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Which of the following statements is CORRECT?

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If we are given a periodic interest rate,say a monthly rate,we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year.

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Which of the following bank accounts has the highest effective annual return?

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The store where you bought new home furnishings offers you two alternative payment plans.The first plan requires a $4,000 immediate up-front payment.The second plan requires you to make monthly payments of $137.41,payable at the end of each month for 3 years.What nominal annual interest rate is built into the monthly payment plan?

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A U.S.Treasury bond will pay a lump sum of $1,000 exactly 3 years from today.The nominal interest rate is 6%,semiannual compounding.Which of the following statements is CORRECT?

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Which of the following statements is CORRECT?

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Your bank offers a savings account that pays 3.5% interest,compounded annually.How much will $500 invested today be worth at the end of 25 years?

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What is the present value of the following cash flow stream at a rate of 8.0%? What is the present value of the following cash flow stream at a rate of 8.0%?

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The payment made each period on an amortized loan is constant,and it consists of some interest and some principal.The closer we are to the end of the loan's life,the smaller the percentage of the payment that will be a repayment of principal.

(True/False)
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Which of the following statements is CORRECT?

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All other things held constant,the present value of a given annual annuity decreases as the number of periods per year increases.

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You are hoping to buy a new boat 3 years from now,and you plan to save $4,200 per year,beginning one year from today.You will deposit your savings in an account that pays 5.2% interest.How much will you have just after you make the 3rd deposit,3 years from now?

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A $150,000 loan is to be amortized over 6 years,with annual end-of-year payments.Which of these statements is CORRECT?

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