Exam 9: The Time Value of Money

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The present value of a positive future value may become negative as discount rates become higher and higher.

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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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If you were to put $1,000 in the bank at 6% interest each year for the next 10 years,which table would you use to find the ending balance in your account?

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What is the difference between a nominal interest rate and an effective interest rate?

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Yield is defined as the interest rate that equates a future value of an annuity to a given present value.

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As the discount rate becomes higher and higher,the present value of inflows approaches:

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The interest factor for the future value of an annuity is simply the sum of the interest factors for the future value using the same number of periods.

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If an individual's cost of capital were 10%,he or she would prefer to receive $107 at the end of one year rather than $100 right now.

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The formula FV = PV (1 + n)i will determine the present value of $1.

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Pension fund retirement accounts use the present value of an annuity to calculate the ending value upon retirement.

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You will deposit $10,000 today.It will grow for 10 years at 10% interest compounded monthly.You will then withdraw the funds quarterly over the next 4 years.The annual interest rate over those 4 years is 8%.Your annual withdrawal will be:

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You will deposit $2,000 today.It will grow for 6 years at 10% interest compounded semiannually.You will then withdraw the funds annually over the next 4 years.The annual interest rate is 8%.Your annual withdrawal will be:

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The interest factor for a future value (FVIF)is equal to (1 + i)n.

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If you were to put $5,000 in the bank at 4% interest each year for the next 8 years,which table would you use to find the ending balance in your account?

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The future value is the same concept as the way money grows in a bank account.

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As the interest rate increases,the PVIF for the present value of $1 increases.

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If a single amount were put on deposit at a given interest rate and allowed to grow,its future value could be determined by reference to the future value of $1 table.

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Lou Lewis borrows $10,000 to be repaid over 10 years with equal annual payments at 9 percent.Repayment of principal in the first year is:

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Sara Shouppe has invested $100,000 in an account at her local bank.The bank will pay her a constant amount each year for 6 years,starting one year from today,and the account's balance will be 0 at the end of the sixth year.If the bank has promised Ms.Shouppe a 10% return,how much will they have to pay her each year?

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An annuity may be defined as:

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