Fundamentals of Corporate Finance
Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 5, Problem 7QP
Summary Introduction

To determine: The number of periods of investment to double and quadruple the investment

Introduction:

The number of periods of investment helps to understand the time required for the money to grow. Suppose a person knows the future value of cash he or she requires, then it is possible to find number of years required for the accumulation of future value. However, the person should know the present contribution and the interest on the contribution.

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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%.
At 7.5 percent interest, how long does it take to double your money?
9. Suppose the interest rate is 3.8%. a. Having $600 today is equivalent to having what amount in one year? b. Having $600 in one year is equivalent to having what amount today? c. Which would you prefer, S600 today or $600 in one year? Does your answer depend on when you need the money? Why or why not? a. Having $600 today is equivalent to having what amount in one year? It is equivalent to $ (Round to the nearest cent.) b. Having $600 in one year is equivalent to having what amount today? It is equivalent to $ (Round to the nearest cent.) c. Which would you prefer, $600 today or $600 in one year? Does your answer depend on when you need the money? Why or why not? "Because money today is worth more than money in the future, $600 today is preferred to $600 in one year. This answer is correct even if you don't need the money today, because by investing the $600 you receive today at the current interest rate, you will have more than $600 in one year." Is the above statement true or…
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