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Calculate the Future Value After 25 Years in Each of the Following

Question 6

Short Answer

Calculate the future value after 25 years in each of the following scenarios:
a. $6000 invested at end of each year earning 9% compounded annually.
b. $3000 invested at end of each half-year earning 9% compounded semiannually.
c. $1500 invested at end of each quarter earning 9% compounded quarterly?
d. $500 invested at end of each month earning 9% compounded monthly?
[Note that the same total amount ($6000) is invested every year at nominally equal rates of return (7.5%). The combined beneficial effects of (i) smaller but earlier and more frequent payments, and (ii) more frequent compounding are quite significant.]

Correct Answer:

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a) $508,205.38.12
b)...

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