Finite Math and Applied Calculus (6th Edition)

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

Chapter 2 - Section 2.1 - Simple Interest - Exercises - Page 134: 46

Answer

The second year had a greater PV to start with.

Work Step by Step

$FV=PV(1+rt)$. The problem text takes PV as the FV of the year before, and t is always t=1 (we compare a year to the previous year ): For example, taking 100 units as PV: After one year, $FV=PV(1+0.1\times 1)=100\cdot 1.01=101$ units (growth:=101-100=1 unit) For the second year, they take PV=101 (FV of the previous year) $FV=PV(1+0.1\times 1)=101\cdot 1.01=102,01$ units. (growth: $102.01-101=1.01$ units) In dollar terms, growth is greater in the second year, and the reason is: The second year had a greater PV to start with.
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