7. Suppose you find an investment account that you decide to contribute to every month over the course of 30 years. The investment has an average rate of return of 5.2%, compounding daily. Also, you decide to start the account with an initial amount of $10,000, and that your monthly contributions will be $1000. How much is the account worth after 30 years? Suppose, for the sake of simplicity that the account compounds continuously, and that your contributions to the account are spread out evenly (continuously) over the course of the year.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 16P
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7. Suppose you find an investment account that you decide to contribute to every month over the course
of 30 years. The investment has an average rate of return of 5.2%, compounding daily. Also, you decide
to start the account with an initial amount of $10,000, and that your monthly contributions will be
$1000. How much is the account worth after 30 years? Suppose, for the sake of simplicity that the
account compounds continuously, and that your contributions to the account are spread out evenly
(continuously) over the course of the year.
Transcribed Image Text:7. Suppose you find an investment account that you decide to contribute to every month over the course of 30 years. The investment has an average rate of return of 5.2%, compounding daily. Also, you decide to start the account with an initial amount of $10,000, and that your monthly contributions will be $1000. How much is the account worth after 30 years? Suppose, for the sake of simplicity that the account compounds continuously, and that your contributions to the account are spread out evenly (continuously) over the course of the year.
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