Using the cash flow pattern of deposits presented above, compute the value of the investment at the end of year 7.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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John and Marsha are in an argument about an investment which requires a series of six annual deposits.

If an investor decides to invest, he/she has to deposit $30,000 at the end of year 1, $30,000 at the end of year 2, $30,000 at the end of year 4, $30,000 at the end of year 5, $30,000 at the end of year 6 and $30,000 at the end of year 7. The deposited amounts grow at a rate of 5% p.a.

The argument is about the nature of the cash flow stream of the six deposits – whether the cash flows is an annuity or a mixed stream. As per John’s opinion, the value of this investment at the end of year 7 will be $244,260.25 while Marsha thinks that the value of this investment at the end of year 7 will be $207,795.07

You are required to assist both in coming to a resolution of the argument by doing as follows:

  1. i)  Using the cash flow pattern of deposits presented above, compute the value of the investment at the end of year 7.
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