Today you have $100,000 in your investment account, which will grow by 7.5% annually. If you keep investing $600 every month, how many months does it take for your account balance to increase to $300,000? (Report an integer)
Today you have $100,000 in your investment account, which will grow by 7.5% annually. If you keep investing $600 every month, how many months does it take for your account balance to increase to $300,000? (Report an integer)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Today you have $100,000 in your investment account, which will grow by 7.5% annually. If you keep investing $600 every month, how many months does it take for your account balance to increase to $300,000? (Report an integer)
Expert Solution
Step 1
Monthly interest rate = Annual interest rate / 12
= 0.075/12
= 0.00625
The number of months it takes to grow to the future value of $300,000 is calculated in excel using NPER function with $100,000 as present value(PV), $600 as monthly payment(PMT), $300,000 as future value(FV) and 0.00625 as rate.
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