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: 25

Answer

$\$ 2927.15$

Work Step by Step

The present value (the amount you pay now) $\\$ of an investment earning interest at$\\\\$ an annual rate of r$=5.5\%=0.055 \\$ compounded m$=1$ times per year $\\$ for a period of t$=10$ years,$\\$ with future (maturity) value FV$=5,000$ is$\\\\$ $ PV=\displaystyle \frac{FV}{(1+\frac{r}{m})^{mt}}=\frac{5000}{(1+\frac{0.055}{1})^{1(10)}}\approx$2927.15289714$\\\\$ rounded to the nearest cent: $PV=\$ 2927.15$
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