Exam 23: Understanding Time Value of Money Formulas and Concepts

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The formula to compute the present value of a dollar is PV=FV×1(1+i)nP V = F V \times \frac { 1 } { ( 1 + i ) ^ { n } }

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Table factors for present values

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Currently in August, 2017), Abby wants to have $20,000 available in August 2021 to make a college tuition payment. To be able to have this amount available, Abby will make equal annual deposits in an investment account earning 12% annually in August 2017,2018,2019,2020,and 2021. What is the annual amount to be deposited?

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Using the table approach, the future amount of an annuity due may be calculated by finding the table factor for the future amount of an ordinary annuity of

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One type of compensation provided by the time value of money is compensation for risk.

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The future value of an annuity due is lower if the discount rate is higher.

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David Company borrowed $550,000 on December 31, 2014. The loan will be paid with six equal annual payments of $115,388, beginning on December 31, 2015. The rate of interest compounded annually for the loan is most nearly equal to

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Jessie's Dry Cleaner began making $2,000 equal, annual deposits in a fund starting on January 2, 2016. The fund earns 10% compounded annually, and the last deposit is made on January 2, 2020. How much will be in the fund on January 2, 2021, one year after the final deposit?

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To compare the value of amounts received at different times in the future, dollar amounts

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Using the compound interest tables, answer the following questions. Required: a. What amount of interest will be earned on an investment of $10,500 left on deposit by Marcy for three years at 9% interest compounded annually? b. Travis deposited $10,000 in a fund that earns 8% interest compounded annually. How many years will it take for the fund to grow to $21,589.25?

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Using the compound interest tables, answer each of the following questions. Required: a. Assuming that $100,000 to be paid at the end of ten years has a present value today of $50,834.90, what interest rate compounded annually is used in the calculation of the present value? b. What amount must be deposited today if $200,000 is to be accumulated six years from today, and interest at 12% is compounded semiannually?

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What is the formula for the present value of an ordinary annuity of 1?

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The future value of an annuity due is determined one period after the first cash flow in the series.

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Georgia deposits $4,000 every three months for five years. The first deposit is made on March 31, 2016, and the last deposit is made on December 31, 2020. The fund earns 16% and interest is compounded quarterly. How much money will Georgia have on December 31, 2020, immediately after her last deposit? Factors for future value of an annuity of $1 are

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The formula to calculate a present value of a deferred annuity is: PVdeferred = C × Converted Factor for Present Value of Deferred Annuity of 1)

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All of the following are conditions for an ordinary annuity except

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Marco needs $175,000 six years from today. How much should Marco deposit today into an investment account that provides a 12% annual return in order to accomplish his goals?

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The present value of an annuity due is determined on the date of the last cash flow in the series.

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Bruno deposited $7,500 into an investment account and seven years later, the balance in the account was $10,910. What is the rate of return on this investment if interest is compounded annually?

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Rita deposited $8,000 in a savings account that provides for interest at the rate of 16% compounded quarterly. Required: Compute the balance in the account at the end of seven years.

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