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: 16

Answer

The semmiannual withdrawals possible is equal to \$2,160.22

Work Step by Step

The formula for the payment value for an ordinary annuity is: $PMT = PV\frac{i}{1-(1+i)^{-n}}$ Where: $PV= 10,000$ ** The withdrawals are made semmiannualy (2 times per year), so m = 2. $i=r/m=\frac{0.0525}{2} = 0.02625$ $n=mt=2 \times 2.5=5$ So: $PMT = (10,000)\frac{0.02625}{1-(1+0.02625)^{-5}} = 2,160.22$
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