Finite Math and Applied Calculus (6th Edition)

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

Chapter 2 - Section 2.2 - Compound Interest - Exercises - Page 142: 18

Answer

$ 10.52\%$

Work Step by Step

The effective interest rate $r_{eff}$ of an investment$\\$ paying a nominal interest rate of $r_{nom}=10\%=0.10\\\\$ compounded m$=365 \ \ \ \ $ times per year is$\\$ $r_{eff}=(1+\displaystyle \frac{r_{nom}}{m})^{m}-1$ $=(1+\displaystyle \frac{0.1}{365})^{365}-1\approx$0.105155781616$\\\\$ Rounded to the nearest $ 0.01\%$ (4th decimal place): $ r_{eff}=10.52\%$
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