Exam 9: The Time Value of Money

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When adjusting for semi-annual compounding of an annuity, the adjustments include multiplying the periods and annuity payment amount by 2.

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Lou Lewis borrows $10,000 to be repaid over 10 years at 9%. Repayment of principal in the first year is ______.

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Samuel Johnson invested in gold U.S. coins 10 years ago, paying $216.53 for one-ounce gold "double eagle" coins. He could sell these coins for $734 today. What was his annual rate of return for this investment?

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In evaluating capital investment projects, current outlays must be judged against the current value of future benefits.

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Sharon Smith will receive $1 million in 50 years. The discount rate is 14%. As an alternative, she can receive $1,000 today. Which should she choose?

(Multiple Choice)
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Joe Nautilus has $210,000 and wants to retire. What approximate return must his money earn so he may receive annual benefits of $30,000 for the next 10 years?

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To calculate Future or Present Values of an "Annuity Due," we must assume that payments happen twice as often. Annuities Due simply move TVM calculations back to the beginning of a year, rather than the end.

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Mr. Blochirt is creating a college investment fund for his daughter. He will put in $1,000 per year for the next 15 years beginning one year from now and expects to earn a 6% annual rate of return. How much money will his daughter have when she starts college?

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The concept of time value of money is important to financial decision making because

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As the interest rate increases, the present value of an amount to be received at the end of a fixed period

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Mr. Nailor invests $5,000 in a money market account at his local bank. He receives annual interest of 8% for seven years. How much total return will his investment earn during this time period?

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John Doeber borrowed $150,000 to buy a house. His loan cost was 6% and he promised to repay the loan in 15 equal annual payments. What is the principal outstanding after the first loan payment?

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The interest factor for the present value of a single amount is the reciprocal of the future value interest factor.

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Marcia Stubern is planning for her golden years. She will retire in 20 years, at which time she plans to begin withdrawing $60,000 annually. She is expected to live for 20 years following her retirement. Her financial advisor thinks she can earn 9% annually. How much does she need to invest at the end of each year before she retires, to prepare for her financial needs after her retirement?

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Under what conditions must a distinction be made between money to be received today and money to be received in the future?

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Mr. Sullivan is borrowing $2 million to expand his business. The loan will be for 10 years at 12% and will be repaid in equal quarterly installments. What will the quarterly payments be? D.A = $2 million/23.115 = $86,524

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Ian would like to save $2,000,000 by the time he retires in 40 years. If he believes that he can achieve a 7% rate of return, how much does he need to deposit each year, starting one year from now, to achieve his goal?

(Multiple Choice)
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Kathy has $50,000 to invest today and would like to determine whether it is realistic for her to achieve her goal of buying a home for $150,000 in 10 years with this investment. What return must she achieve in order to buy her home in 10 years?

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To determine the current worth of four annual payments of $1,000 at 4%, one would refer to a table for the present value of $1.

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How much must you invest at 8% interest in order to see your investment grow to $8,000 in 10 years?

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