Future Value Calculator

Future value (FV) is what a sum of money invested today, or a series of regular contributions, will grow to by a chosen date once interest or returns compound on it. It is the core idea behind time value of money: a rupee or dollar today is worth more than the same amount later because it can earn returns in between. Knowing the future value lets you compare investments, set savings targets and see what a rate and time horizon actually produce.

A lump-sum future value projects a single amount invested once today: FV = PV × (1 + i)^N. An annuity future value projects a stream of equal payments made every period: FV = PMT × [((1 + i)^N − 1) / i]. This calculator does both at once — enter a present value, a recurring contribution, or both — and the combined future value is simply the two added together.

An ordinary annuity assumes each payment lands at the end of the period; an annuity due assumes it lands at the start. Because every payment in an annuity due is invested one period earlier, it earns one extra period of compounding, so its future value is exactly (1 + i) times the ordinary-annuity value. Switch the payment-timing toggle to compare the two — start-of-period always produces a slightly higher result.

The frequency (m) sets how often interest is added and how often you contribute — annually, semi-annually, quarterly, monthly, weekly or daily. More frequent compounding raises the periodic rate count: the periodic rate becomes i = (annual rate / 100) / m and the number of periods becomes N = years × m. For the same annual rate, more frequent compounding produces a slightly higher future value because interest starts earning interest sooner.

They are inverse operations. Future value moves money forward in time by multiplying by (1 + i)^N — it answers "what will this grow to?". Present value moves money backward by dividing by (1 + i)^N — it answers "what is a future amount worth today?". This tool computes future value; to discount a future sum back to today you would use a present value calculator.

At a 0% rate nothing compounds, so the future value is just the money you put in: present value plus all contributions (PV + PMT × N). Mathematically the annuity factor ((1 + i)^N − 1) / i becomes 0/0, which is why a correct calculator evaluates it as its limit, N, rather than dividing by zero. At 0% an ordinary annuity and an annuity due give the same result because there is no compounding advantage to paying early.

Yes. Enter a present value for the amount you have today and a recurring contribution for what you will add each period. The calculator compounds the lump sum forward as FV = PV × (1 + i)^N and adds the annuity future value of the contributions. This is the realistic case for most savers: a starting balance plus monthly deposits both growing at the same rate.

No. It shows the gross nominal future value before any tax on returns, account or fund fees, or inflation. Inflation in particular erodes purchasing power, so the real (inflation-adjusted) value will be lower than the figure shown. Treat the result as an illustrative projection of the nominal balance, not a guaranteed or after-tax outcome.

Enter the nominal annual rate as a percentage — for example 6 for 6%. The calculator divides it by the frequency you pick to get the periodic rate, so you do not need to convert it yourself. Use a realistic expected return for the asset: a fixed deposit or bond rate is fairly certain, while a stock-market return is an assumption and actual results will vary year to year.

The Rule of 72 gives a quick estimate: divide 72 by the annual interest rate (as a percentage) and the result is roughly the number of years it takes to double your money. At 6% that is 72 / 6 = 12 years; at 9% it is 8 years; at 4% it is 18 years. You can verify this with the calculator: set a present value, no contributions, and your rate, then increase the time horizon until the future value reaches twice the present value — you will find it lands very close to the Rule of 72 estimate. The rule is an approximation that works best for rates between 4% and 15%; at very high or very low rates a more precise doubling time is ln(2) / ln(1 + i), where i is the periodic rate.

Most textbooks round the annuity factor to a few significant figures before multiplying, which can shift the final amount by a cent. For example OpenStax shows $16,248.98 for $3,000 a year over five years at 4%, while rounding only once at the very end gives $16,248.97. This calculator rounds once at the end, which is the more precise convention; the difference is never more than a cent or two and reflects rounding, not a different formula.

Yes. Enter whole years plus any extra months (0–11) and the horizon becomes t = years + months/12. The number of periods N = t × m can then be fractional, and the formula applies the same fractional exponent to the compounding term so a horizon like 10 years 6 months is handled correctly.

The underlying math is the same time-value-of-money family. The Future Value Calculator presents the textbook TVM closed form and lets you choose ordinary versus annuity-due timing. The Compound Interest Calculator adds features like annual contribution step-ups and withdrawals, while the FD calculator frames a single lump sum as a bank deposit with quarterly compounding. Pick whichever framing matches your question.