Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.4 - Mathematics of Finance - 12.4 Exercises - Page 872: 13

Answer

$\$ 2601.59$

Work Step by Step

(see p. 870) The present value $A_{p}$ of an annuity consisting of $n$ regular equal payments of size $R$ with interest rate $i$ per time period is given by $A_{p}=R\displaystyle \frac{1-(1+i)^{-n}}{i}$ --------------- Given $\mathrm{R}=200, n=20,$ semiannualy = twice per year: $i=\displaystyle \frac{0.09}{2}=0.045. $ $A_{p}=200\displaystyle \times\frac{1-(1+0.045)^{-20}}{0.045}=\$ 2601.59$
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