Exam 4: Time Value of Money

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deposit $1,000 today in a savings account that pays 3.5% interest, compounded annually.How much will your account be worth at the end of 25 years?

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B

Assume that you own an annuity that will pay you $15,000 per year for 12 years, with the first payment being made today.You need money today to start a new business, and your uncle offers to give you $120,000 for the annuity.If you sell it, what rate of return would your uncle earn on his investment?

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E

Which of the following investments would have the highest future value at the end of 10 years? Assume that the effective annual rate for all investments is the same and is greater than zero.

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A

sold a car and accepted a note with the following cash flow stream as your payment.What was the effective price you received for the car assuming an interest rate of 6.0%?

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uncle has $300,000 invested at 7.5%, and he now wants to retire.He wants to withdraw $35,000 at the end of each year, beginning at the end of this year.He also wants to have $25,000 left to give you when he ceases to withdraw funds from the account.What is the maximum number of $35,000 withdrawals that he can make and still have at least $25,000 left in the account? (Hint: If your solution for N is not an integer, round down to the nearest whole number.)

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are offered a chance to buy an asset for $7,250 that is expected to produce cash flows of $750 at the end of Year 1, $1,000 at the end of Year 2, $850 at the end of Year 3, and $6,250 at the end of Year 4.What rate of return would you earn if you bought this asset?

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have a chance to buy an annuity that pays $5,000 at the beginning of each year for 5 years.You could earn 4.5% on your money in other investments with equal risk.What is the most you should pay for the annuity?

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of the cash flows shown on a time line can be in the form of annuity payments but none can be uneven amounts.

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year Ellis Inc's earnings per share were $3.50, and its growth rate during the prior 5 years was 9.0% per year.If that growth rate were maintained, how many years would it take for Ellis' EPS to triple?

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What's the future value of $1,200 after 5 years if the appropriate interest rate is 6%, compounded monthly?

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greater the number of compounding periods within a year, then (1) the greater the future value of a lump sum investment at Time 0 and (2) the greater the present value of a given lump sum to be received at some future date.

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lines cannot be constructed for annuities unless all the payments occur at the end of the periods.

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Which of the following statements is CORRECT?

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

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plan to invest in securities that pay 8.0%, compounded annually.If you invest $5,000 today, how many years will it take for your investment to grow to $9,140.20?

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Suppose you are buying your first condo for $145,000, and you will make a $15,000 down payment.You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6.5% nominal interest rate, with the first payment due in one month.What will your monthly payments be?

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Suppose a State of California bond will pay $1,000 eight years from now.If the going interest rate on these 8-year bonds is 5.5%, how much is the bond worth today?

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was injured in an accident, and the insurance company has offered him 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 him as well off financially as with the annuity?

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What's the present value of $4,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?

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and Daphne are saving for their daughter Ellen's college education.Ellen just turned 10 at Their long-run financial plan is to add an additional $5,000 in each of the next 4 years Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7.They expect their investment account to earn 9%.How large must the annual payments at t = 5, 6, and 7 be to cover Ellen's anticipated college costs?

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