Finite Math and Applied Calculus (6th Edition)

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

Chapter 2 - Review - Review Exercises - Page 158: 11

Answer

The present value of the investment is equal to $5,331.37

Work Step by Step

The formula for the present value of an annuity is: $PV = PMT\frac{1 - (1+i)^{-n}}{i}$ Where: $PMT = 100$ **Each year has 12 months, so m = 12. $i = r/m = \frac{0.0475}{12}$ $n = mt = 12 * 5 = 60$ So: $PV = (100)\frac{1- (1 + \frac{0.0475}{12})^{-60}}{\frac{0.0475}{12}} = 5,331.37$
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