Exam 4: Time value of money

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Disregarding risk, if money has time value, it is impossible for the present value of a given sum to exceed its future value.

(True/False)
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Your investment advisor has recommended your invest in bonds that pay 6.0%, compounded annually.If you invest $10, 000 today, how many years will it take for your investment to grow to $30, 000?

(Multiple Choice)
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Geraldine was injured in a car accident, and the insurance company has offered her the choice of $25, 000 per year for 15 years, with the first payment being made today, or a lump sum.If a fair return is 7.5%, how large must the lump sum be to leave her as well off financially as with the annuity?

(Multiple Choice)
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At a rate of 6.5%, what is the future value of the following cash flow stream? At a rate of 6.5%, what is the future value of the following cash flow stream?

(Multiple Choice)
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Your bank offers a savings account that pays 3.5% interest, compounded annually.If you invest $1, 000 in the account, then how much will it be worth at the end of 25 years?

(Multiple Choice)
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Partners Bank offers to lend you $50, 000 at a nominal rate of 5.0%, simple interest, with interest paid quarterly.An offer to lend you the $50, 000 also comes from Community Bank, but it will charge 6.0%, simple interest, with interest paid at the end of the year.What's the difference in the effective annual rates charged by the two banks?

(Multiple Choice)
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Suppose you deposited $5, 000 in a bank account that pays 5.25% with daily compounding based on a 360-day year.How much would be in the account after 8 months, assuming each month has 30 days?

(Multiple Choice)
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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?

(Multiple Choice)
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You would like to travel in South America 5 years from now, and you can save $3, 100 per year, beginning one year from today.You plan to deposit the funds in a mutual fund that you think will return 8.5% per year.Under these conditions, how much would you have just after you make the 5th deposit, 5 years from now?

(Multiple Choice)
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What's the future value of $1, 500 after 5 years if the appropriate interest rate is 6%, compounded semiannually?

(Multiple Choice)
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You plan to invest some money in a bank account.Which of the following banks provides you with the highest effective rate of interest?

(Multiple Choice)
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Your Green Investment Tips subscription is about to expire.You plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $85 annually, beginning immediately, or you can get a lifetime subscription for $850, also payable immediately.Assuming that you can earn 6.0% on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy?

(Multiple Choice)
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Pacific Bank pays a 4.50% nominal rate on deposits, with monthly compounding.What effective annual rate (EFF%)does the bank pay?

(Multiple Choice)
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Some of the cash flows shown on a time line can be in the form of annuity payments while others can be uneven amounts.

(True/False)
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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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You want to open a sushi bar 3 years from now, and you plan to save $7, 000 per year, beginning immediately.You will make 3 deposits in an account that pays 5.2% interest.Under these assumptions, how much will you have 3 years from today?

(Multiple Choice)
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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 greater the percentage of the payment that will be a repayment of principal.

(True/False)
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Which of the following statements regarding a 20-year monthly payment amortized mortgage with a nominal interest rate of 10% is CORRECT?

(Multiple Choice)
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What's the present value of $1, 525 discounted back 5 years if the appropriate interest rate is 6%, compounded monthly?

(Multiple Choice)
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A $250, 000 loan is to be amortized over 8 years, with annual end-of-year payments.Which of these statements is CORRECT?

(Multiple Choice)
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