A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.
A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.
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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Transcribed Image Text:A saver plans to make 25 deposits of 100 at the end of each
year. If the interest rate were 6% effective per annum, he
would accumulate a fund of amount F on the date of the last
payment.
The saver makes the first 10 deposits of 100. However, the
account only credits an effective annual interest rate of 5%.
Therefore, the saver determines that he must increase each
of the remaining 15 deposits to X so that he can accumulate
the desired fund of F. Assuming that the fund continues to
earn 5% effective annual interest, find X.
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