Future Value and the Time Value of Money
Future value (FV) is what money is expected to be worth at a later date. Cash resting in a
savings account, or locked into a bond, earns compound interest — so its amount at any future
checkpoint differs from today's, and FV is the arithmetic that names the checkpoint figure:
FV = PV × (1 + r)N + PMT × [((1 + r)N − 1) ÷ r] · defaults: $3,108.93
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The savings account is the natural classroom for the concept, because its future value simply
answers "how much will be in the account then?" Try the smallest possible case in the calculator
above: $10 of starting amount at 6% for 1 period, no deposits — FV comes out $10.60, ten
dollars of principal and sixty cents of interest. Scale that seed up and the second term takes
over: in the defaults, $1,000 of starting money and $1,000 of deposits produce $1,108.93 of pure
interest — the interest ends up the largest of the three slices, which is compounding's signature.
Given enough periods it always wins; the only question the inputs decide is how long "enough"
takes.
One of the five keys
FV, together with PV, I/Y, N, and PMT, forms the time value of money — the backbone of
finance. There could be no mortgages, auto loans, or credit cards without it: a lender computes
the future value of the sum advanced, a borrower repays it in installments, and the rate is the
bridge negotiated between them. To run the same machinery backward — what a future sum is worth
now — use the Present Value Calculator; to solve for any of the five keys from the other four,
the Finance Calculator.
FAQ
Does FV account for inflation or taxes?
Not by itself — FV is stated in nominal future dollars. For purchasing-power terms, either discount the result by expected inflation or rerun with a real (inflation-adjusted) rate; our Interest Calculator shows buying power explicitly, and the Savings Calculator can skim tax from interest as it accrues.
Can the periodic deposit be zero?
Yes — with PMT at zero the calculator reduces to pure lump-sum compounding, FV = PV × (1 + r)^N, the same engine as the Compound Interest Calculator (which adds compounding-frequency choices).
Disclaimer: This calculator provides estimates for educational purposes only and does not constitute financial advice.