Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 8 - Personal Finance - 8.5 Annuities, Methods of Saving, and Investments - Exercise Set 8.5: 23

Answer

$P = \frac{A~r}{(1+r)^t-1}$ The resulting formula describes the amount of the periodic deposit $P$ required in an annuity.

Work Step by Step

$A = \frac{P~[(1+r)^t-1]}{r}$ $P = \frac{A~r}{(1+r)^t-1}$ The resulting formula describes the amount of the periodic deposit $P$ required in an annuity if we want to end up with a final amount, $A$, with an interest rate of $r$ compounded annually for a time of $t$ years.
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