EBK CORPORATE FINANCE
EBK CORPORATE FINANCE
11th Edition
ISBN: 8220102798878
Author: Ross
Publisher: YUZU
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Chapter 4, Problem 74QP
Summary Introduction

To determine: The rate at which Rule of 72 is exact.

Rule of 72:

The rule of 72 is a thumb rule which states that if the interest rate is divided by 72 then the number of periods that the amount takes to double can be calculated. By this rule, the interest rate which is needed to double a money in a given time period can also be calculated.

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1. Find how long will it take for money to triple at {0.05, m = 2} The rule of 72 provides a fast computation in finding the number of years required to double an amount at a given interest rate, just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at 6%, divide 72 by 6 and get 9 years. The rule of 72 is accurate, as long as the interest rate is less than 20%. If the unknown is the interest rate, run backward. Hence to double an amount in 8 years, just divide 72 by 9 to find that it will require an interest rate of about 8%.
Example 1. Compound interest When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal); that is, dx/dt = rx. (a) If $2000 is invested at 8%, compounded continuously, find an equation for the future value of the investment as a function of time t, in years. (b) How long will it take for the investment to double? (c) What will be the future value of this investment after 35 years?
All of the following are the steps to figure out "The Rule of 72" EXCEPT Find the interest rate. O 72 divided by the interest rate. O Roughly how many years it will take your money to double. O Add 72 to the interest rate.

Chapter 4 Solutions

EBK CORPORATE FINANCE

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