You are going to retire in 40 years and currently have $100,000. What average annual return would you have to earn on your investment to have $1 million by the time you retire?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 23P
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You are going to retire in 40 years and currently have $100,000. What average annual return would you have to earn on your investment to have $1 million by the time you retire?

Expert Solution
Step 1

Future Value = Present Value * (1+r)^n
Where,
r = rate of interest per period
n = no. of compounding period i.e. 40

 

Step 2

Future Value = Present Value * (1+r)^n

$1,000,000 = $100,000 * (1+r)^40

$1,000,000/$100,000 =(1+r)^40

10 = (1+r)^40

(10)^(1/40) = (1+r)

1.05925 = 1+r

r = 1.05925 -1

r = 0.05925

r =5.92%

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