growth fund who’s annual rate of return average is 13%. Five years later, you transfer all proceeds from the scrubs fun into a long-term IRA that pays an average annual rate of 8%. Immediately you start making additional contributions of $7000 per year to the same IRA. Assuming continuous interest, steady interest rates, and a perfect record of making annualcontributions, how
growth fund who’s annual rate of return average is 13%. Five years later, you transfer all proceeds from the scrubs fun into a long-term IRA that pays an average annual rate of 8%. Immediately you start making additional contributions of $7000 per year to the same IRA. Assuming continuous interest, steady interest rates, and a perfect record of making annualcontributions, how
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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Suppose you inherit $100,000 at age 25 and immediately invested in a growth fund who’s annual rate of return average is 13%. Five years later, you transfer all proceeds from the scrubs fun into a long-term IRA that pays an average annual rate of 8%. Immediately you start making additional contributions of $7000 per year to the same IRA. Assuming continuous interest, steady interest rates, and a perfect record of making annualcontributions, how much is this IRA worth when you reach the age of 65? The formula that will need to be used is A = P e^r*t + D/r (e^r*t - 1).
Hint: use the continuous interest formula to find the accumulated amount for the first five years, which is then the annual investment, P, into the IRA. 
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