Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 2 - Section 2.2 - Compound Interest - Exercises - Page 142: 14

Answer

$\$ 1,226.43$

Work Step by Step

The present value of an investment earning interest at$\\$ an annual rate of $\mathrm{r}=-4\%=-0.04\ \ \ \ $(depreciation=negative rate) $\\$ compounded m$=1$ times per year $\\$ for a period of t$=5$ years,$\\$ with future value FV$=1000$ is$\\\\$ $ PV=\displaystyle \frac{FV}{(1+\frac{r}{m})^{mt}}=\frac{1000}{(1+\frac{-0.04}{1})^{1(5)}}\approx$1226.43302007$\\\\$ rounded to the nearest cent: $\$ 1,226.43$
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