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Time Value of Money: Basics
Using Excel or the equations and tables in Appendix 12A of this chapter, determine the answers to each of the following independent situations:
Round answers to the nearest whole number.
(a) The future value in two years of $5,000 deposited today in a savings account with interest compounded annually at 4%.
$5,408
(b) The present value of $15,000 to be received in four years, discounted at 10%.
$10,245
(c) The present value of an annuity of $2,500 per year for five years discounted at 12%.
$ 9,012
(d) An initial investment of $69,845 is to be returned in eight equal annual payments. Determine the amount of each payment if the interest rate is 8%.
$ 12,154
(e) A proposed investment will provide cash flows of $20,000,$25,000, and $30,000 at the end of Years 1,2, and 3, respectively. Using a discount rate of 6%, determine the present value of these cash flows.
\table[[Year 1,$,0],[Year 2,$,22,250],[Year 3,$,0]]
(f) Find the present value of an investment that will pay $3,000 at the end of Years 10,11, and 12. Use a discount rate of 896.
$ 3,867
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