What does the future value factor formula represent?

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The future value factor formula, expressed as FV = PV(1+r)^t, represents how much a current amount of money (present value or PV) will grow over time when invested at a specific interest rate (r) for a designated number of periods (t). This formula is crucial in finance as it allows individuals and businesses to estimate how much their investments will be worth in the future, taking into account the effects of compound interest.

In the formula, PV is multiplied by (1+r)^t, where (1+r) is the growth factor per period, and raising it to the power of t accounts for compound growth over multiple periods. This relationship is fundamental to understanding time value of money in corporate finance, as it helps in making informed investment decisions, planning for future expenses, and valuing cash flows in present terms.

The other formulas listed serve different purposes in finance, such as calculating present value or determining the interest rate or time required to achieve a specific future value, but they do not represent the future value factor directly.

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