The future value calculator can be used to calculate the future value (FV) of an investment with given inputs of compounding periods (N), interest/yield rate (I/Y), starting amount, and periodic deposit/annuity payment per period (PMT).
The future value calculator tells you what a sum of money will be worth at a future date, given a rate of return and a schedule of contributions. Enter the number of periods, your starting amount, the interest rate per period, and any periodic deposit, and it returns the future value along with a full breakdown: how much of the final balance came from your starting amount, how much from your deposits, and how much from compound interest. It also charts the balance period by period so you can see the growth take shape.
Future value is one of the foundational ideas in finance. It is the engine behind retirement planning, savings goals, investment comparisons, and any decision that trades money today for money tomorrow. Understanding it — and being able to compute it quickly — turns vague intentions like "I should save more" into concrete, testable numbers.
Future value (FV) is the value that a current sum of money will grow to at a specified point in the future, assuming a given rate of return. It is the opposite side of the coin from present value (PV), which discounts a future sum back to what it is worth today. Both rest on the same principle: the time value of money — a dollar today is worth more than a dollar tomorrow, because a dollar today can be invested and earn a return.
This matters in practical terms constantly. Would you rather receive $1,000 now or $1,000 in five years? The answer is always now, because in five years that $1,000 could have grown. Future value quantifies exactly how much more it would be worth, letting you compare options that pay out at different times on equal footing.
The calculator combines two components: the growth of your starting lump sum, and the growth of your stream of deposits.
FV = PV × (1 + i)N + PMT × [((1 + i)N − 1) / i]
Here PV is the starting amount, i is the interest rate per period expressed as a decimal, N is the number of periods, and PMT is the deposit made each period. The first term compounds your lump sum forward. The second term — the annuity factor — sums the future value of every individual deposit.
When deposits are made at the beginning of each period rather than the end, every payment gets one extra period of growth, so the annuity portion is multiplied by an additional (1 + i). If the interest rate is zero, the formula simplifies to FV = PV + PMT × N, since nothing compounds.
Take the calculator's defaults: 10 periods, a $1,000 starting amount, a 6% rate per period, and a $100 deposit at the end of each period.
Of that final balance, $1,000 is your original money, $1,000 is the deposits you made, and $1,108.93 is interest — more than a third of the total, earned simply by leaving the money invested. Switch the deposits to the beginning of each period and the future value rises to $3,188.01: an extra $79.08 for nothing more than better timing.
The pie chart splits the final balance into those three sources, and the schedule chart below it stacks them period by period so you can watch the interest slice grow relative to your own contributions.
Compound interest is interest earned on interest. In the first period of the example above, your $1,000 earns $60. In the second period you earn 6% not on $1,000 but on $1,160 — your original money plus the first period's interest plus your deposit. That is why the schedule chart curves upward rather than rising in a straight line, and why the effect becomes dramatic over long horizons.
The three levers that drive future value are time, rate, and contribution, and they are not equally powerful. Time is usually the strongest, because compounding is exponential: money invested for 30 years at 7% grows roughly 7.6×, while the same money invested for 15 years grows only about 2.8× — half the time yields far less than half the result. This is the single best argument for starting early, even with small amounts.
A useful mental shortcut for future value is the Rule of 72: divide 72 by your annual rate of return to estimate how many years it takes for money to double. At 6%, money doubles in roughly 72 ÷ 6 = 12 years. At 9%, about 8 years. At 3%, about 24 years. The rule is an approximation, but it is remarkably accurate for rates in the normal range and gives you an instant feel for how a rate difference compounds. It also cuts the other way: at 3% inflation, prices double roughly every 24 years, which is why the real (inflation-adjusted) rate matters more than the nominal one.
The most common mistake with future value calculations is mismatching the period and the rate. This calculator works in generic periods: whatever unit you choose for N, the interest rate must be the rate for that same unit, and PMT must be the deposit made each of those periods.
For example, to model $200 per month for 20 years at a 6% annual rate, enter N = 240, I/Y = 0.5, and PMT = 200. Entering N = 240 with I/Y = 6 would model a 6% monthly return and produce a wildly inflated answer.
The timing of your deposits matters more than most people expect. A deposit made at the beginning of a period earns interest for that entire period; one made at the end does not. In finance these are called an annuity due and an ordinary annuity respectively.
The difference is exactly one period of growth on the whole deposit stream, so the annuity-due future value is simply the ordinary value multiplied by (1 + i). Over ten periods at 6% that is worth an extra 6% on the contribution portion. In real life, salary-deferral retirement contributions and rent-style payments are usually beginning-of-period, while many savings transfers land at the end. If you can shift a contribution earlier, do — it is free money.
Future value math assumes a constant rate of return, and real markets do not cooperate. A portfolio averaging 7% does not deliver 7% every year; it delivers a scatter of gains and losses that happens to average out, and the order of those returns affects your actual outcome when you are contributing or withdrawing along the way — a phenomenon known as sequence-of-returns risk. The calculator also ignores taxes, fees, and inflation, each of which quietly reduces your real result. A 7% nominal return with 3% inflation and 1% in fees is closer to 3% in real, spendable terms. Treat the output as a well-grounded projection for comparison and planning, not a prediction.
The schedule below the results stacks each period's balance into its three sources, and watching how those bands change is the most instructive part of the whole calculation. In the early periods the bar is dominated by your starting amount, with only a sliver of interest on top. As periods pass, the deposit band grows in a straight line — you contribute the same amount each period — while the interest band grows in a curve, accelerating as it compounds on an ever-larger balance.
In the default example, period 1 ends at $1,160.00 with just $60.00 of interest. By period 10 the balance is $3,108.93 and interest has reached $1,108.93 — it has overtaken both your starting amount and your total deposits. Extend the horizon and that crossover becomes even more dramatic: over decades, the interest band typically dwarfs everything you personally put in. That visual is the entire argument for long-term investing in a single picture, and it is worth running your own numbers to see where your crossover point falls.
FV = PV × (1 + i)N + PMT × [((1 + i)N − 1) / i], where PV is the starting amount, i is the rate per period as a decimal, N is the number of periods, and PMT is the deposit per period. For deposits at the beginning of each period, multiply the PMT term by an extra (1 + i).
Per period. The rate must match whatever unit you use for N. If N is in months, enter the monthly rate — the annual rate divided by 12. Mismatching these is the most common source of wrong answers.
Future value grows a sum forward in time to what it will be worth later. Present value discounts a future sum back to what it is worth today. They are inverse operations using the same rate, and this calculator reports both.
A deposit made at the start of a period earns interest for that whole period, while one made at the end earns nothing until the next period. Across the entire deposit stream that is worth one extra period of growth, so the annuity portion is multiplied by (1 + i).
It is the future value minus your starting amount minus the sum of all your deposits — in other words, everything in the final balance that you did not put in yourself.
Yes. Set N to the number of months, the interest rate to the monthly rate, and PMT to your monthly deposit. For $500 a month for 30 years at 6% annually, that is N = 360, I/Y = 0.5, PMT = 500.
This Future Value Calculator is provided for educational and general informational purposes. It assumes a constant rate of return and does not account for taxes, fees, inflation, or market volatility. Actual investment results will vary and past performance does not guarantee future returns. Consult a qualified financial professional before making investment decisions.