Future Value Calculator
Investing & ReturnsWhat today's money and deposits grow into.
Future value: $237,053
What do you want to solve for?
Pick the unknown — the other inputs become your assumptions.
Advanced — fee, tax, inflation & timing
- Contributions$92,000
- Growth$145,053
Fees, tax & present value
Future value growth
How your balance, contributions and today's-money value build over the full horizon.
Contributions vs growth
How much of the final balance is money you put in versus growth the market added.
- Contributions$92,000
- Growth$145,053
Balance timeline
Your balance at four checkpoints across the horizon — watch the later years pull away.
- Year 5$49,830
- Year 10$92,119
- Year 15$152,068
- Year 20$237,053
Nominal vs real vs after-tax
The same future value three ways: headline, in today's money, and after tax on the gain.
- Nominal future value$237,053
- Real (today's money)$237,053
- After-tax value$237,053
Inflation impact
How much of the future balance is real purchasing power and how much inflation quietly erodes.
- Real value kept$237,053
- Purchasing power lost$0
Rate sensitivity
The future value across a band of nearby rates — small rate changes swing a long-horizon result a lot.
- 5.0%$177,563
- 6.0%$204,816
- 7.0%$237,053
- 8.0%$275,242
- 9.0%$320,549
Compound frequency comparison
The same rate compounded more often lifts the result — but the gains shrink fast past monthly.
- Annual$229,655
- Semi-annual$233,580
- Quarterly$235,641
- Monthly$237,053
- Daily$237,747
- Continuous$237,771
Step by step
How the future value is built from what you put in and the growth on top.
- Starting amount$20,000
- Deposits added$72,000
- Total contributions$92,000
- Growth earned$145,053
- Future value$237,053
Year-by-year balance
| Year | Contributions | Growth | Balance |
|---|---|---|---|
| 0 | $20,000 | $0 | $20,000 |
| 1 | $23,600 | $1,564 | $25,164 |
| 2 | $27,200 | $3,500 | $30,700 |
| 3 | $30,800 | $5,838 | $36,638 |
| 4 | $34,400 | $8,604 | $43,004 |
| 5 | $38,000 | $11,830 | $49,830 |
| 6 | $41,600 | $15,550 | $57,150 |
| 7 | $45,200 | $19,800 | $65,000 |
| 8 | $48,800 | $24,616 | $73,416 |
| 9 | $52,400 | $30,041 | $82,441 |
| 10 | $56,000 | $36,119 | $92,119 |
| 11 | $59,600 | $42,896 | $102,496 |
| 12 | $63,200 | $50,423 | $113,623 |
| 13 | $66,800 | $58,754 | $125,554 |
| 14 | $70,400 | $67,949 | $138,349 |
| 15 | $74,000 | $78,068 | $152,068 |
| 16 | $77,600 | $89,178 | $166,778 |
| 17 | $81,200 | $101,353 | $182,553 |
| 18 | $84,800 | $114,667 | $199,467 |
| 19 | $88,400 | $129,204 | $217,604 |
| 20 | $92,000 | $145,053 | $237,053 |
Balances are end-of-year, after fees and before tax; the real column is in today's money.
Contribution schedule
| Item | Value |
|---|---|
| Starting amount | $20,000 |
| Deposit | $300 /mo |
| Deposits per year | 12 |
| Number of deposits | 240 |
| Total deposited | $72,000 |
| Total contributions | $92,000 |
Growth & deductions
| Item | Value |
|---|---|
| Growth before fees | $145,053 |
| Lifetime fee cost | −$0 |
| Growth after fees | $145,053 |
| Tax on gain | −$0 |
| Growth kept after tax | $145,053 |
Inflation-adjusted value
| Item | Value |
|---|---|
| Nominal future value | $237,053 |
| Inflation | 0.0% |
| Years | 20 yrs |
| Real (today's money) | $237,053 |
| Purchasing power lost | $0 |
Rate sensitivity table
| Annual rate | Value |
|---|---|
| 5.0% | $177,563 (-25.1%) |
| 6.0% | $204,816 (-13.6%) |
| 7.0% | $237,053 |
| 8.0% | $275,242 (+16.1%) |
| 9.0% | $320,549 (+35.2%) |
Inputs & outputs
| Item | Value |
|---|---|
| Present value (starting amount) | $20,000 |
| Deposit | $300 /mo |
| Annual rate | 7.00% |
| Compounding frequency | Monthly |
| Years | 20 yrs |
| Future value | $237,053 |
| Total growth | $145,053 |
| Real value (today's money) | $237,053 |
| Growth multiple | 2.58× |
| Effective annual rate | 7.23% |
The formula
The future value adds a compounding lump sum to the future value of a stream of equal deposits.
FV = PV·(1 + i)ⁿ + PMT · [((1 + i)ⁿ − 1) ÷ i] · dwhere:
- FV
- the future value — the projected balance at the end of the horizon
- PV
- the present value — your starting amount today
- PMT
- the deposit added each contribution period
- i
- the net rate per contribution period, derived from the effective annual rate
- n
- the number of contribution periods (frequency × years)
- d
- the timing factor — (1 + i) for start-of-period deposits, otherwise 1
Effective annual rate: EAR = (1 + rate ÷ m)^m − 1, where m is the compounding frequency (or e^rate − 1 for continuous compounding).
Net annual growth after a fee: (1 + EAR) × (1 − fee), applied to the whole balance each year.
Real future value: the nominal balance ÷ (1 + inflation)^years, restating it in today's money.
Worked example
Set the calculator to your own numbers and the example below updates live. It blends a starting amount with a regular deposit, grows both at your rate and compounding frequency, and reads off the future value and how many times over your contributions multiplied.
Your numbers
Starting with $20,000 and adding $300 /mo for 20 years at 7.00%, your balance grows to $237,053 — about 2.58× the money you put in.
Assumptions
- The growth rate is assumed constant for the whole horizon — real returns vary from year to year.
- Deposits are equal and regular, made every period at the timing you choose (start or end).
- Any fee is a flat annual percentage of the balance; real fee schedules can be tiered or fixed.
- Tax applies only to the gain and only at withdrawal; tax-sheltered accounts may owe nothing.
- Inflation is a single constant rate used only for the today's-money value; it doesn't change the nominal result.
- No withdrawals or irregular cash flows are modelled — for dated, uneven flows use an XIRR calculator.
Methodology
The calculator evaluates a closed-form time-value-of-money expression rather than stepping through each month: the starting amount is carried forward at the net growth rate and each deposit is valued with an annuity factor, so every forward and reverse answer comes from one equation.
An annual fee is modelled as a multiplicative drag on the whole balance — net annual growth is (1 + effective annual rate) × (1 − fee) — so its cost compounds and the lifetime fee impact exceeds the headline percentage.
Tax is charged once, on the gain at withdrawal, rather than each year — the gentler capital-gains assumption — so it never alters the compounding path; the after-tax value subtracts that single charge.
Deposits are counted at period boundaries, with the number of deposits rounded to whole periods (frequency × years); the duration solver searches a continuous horizon for a smooth result.
Real, today's-money figures discount the nominal balance at the inflation rate over the full horizon; the effective annual rate converts your nominal rate and compounding frequency, with continuous compounding as the limit.
Input definitions
- Present value (PV)
- The amount you start with today, before any growth — the seed your deposits build on.
- Future value (FV)
- The projected balance at the end of the horizon, in the dollars of that future year.
- Contribution
- The recurring deposit you add each period, which grows for the time it stays invested.
- Annual rate
- The nominal yearly rate of return before the compounding frequency converts it to an effective rate.
- Compounding frequency
- How often growth is credited and starts earning on itself — higher frequencies lift the effective rate slightly.
- Effective annual rate (EAR)
- The true yearly rate once compounding frequency is taken into account — what you actually earn over a year.
- Real value
- The future balance restated in today's purchasing power by discounting it at the inflation rate.
- Growth multiple
- Future value divided by everything you contributed — a multiple of 2× means your money in doubled.
Know what this estimate is based on
- Jurisdiction
- General mathematical model
- Scope and limitations
- Scenario model, not a forecast. Returns, volatility, inflation, fees, and taxes are assumptions and actual investment outcomes can be lower or negative.
- Source links checked
- Jul 30, 2026
Built and regression-tested by Smart Tools Lab. It has not been individually reviewed by a licensed financial, tax, or legal professional.
How to use
- 01
Choose what to solve for. Future value is the default; switch the selector to work backward to the present value, the starting amount, the deposit, the rate or the number of years your goal needs.
- 02
Enter your starting amount, an optional recurring deposit and how often you add it, the expected annual rate, the time horizon and how often returns compound.
- 03
Open the advanced panel to layer on a yearly fee, a tax on the gain, an inflation rate and whether deposits land at the start or end of each period.
- 04
Read the future value with its real (today's-money), after-fee and after-tax companions, then explore the growth, sensitivity and compound-frequency charts and save scenarios to compare plans side by side.
Formula
FV = PV × (1 + i)ᴺ + PMT × ((1 + i)ᴺ − 1) ÷ i × due factor. PV is the amount invested today, PMT is each recurring deposit, i is the net rate per contribution period and N is the number of deposits. The due factor is (1 + i) for beginning-of-period deposits and 1 for end-of-period deposits. When i is zero, the annuity factor becomes N.
Example
Invest 10,000 today and add 500 at the end of each month for 5 years at a 6% nominal rate compounded monthly, with no fee, tax or inflation. The future value is about 48,373.52: 40,000 contributed and about 8,373.52 of growth.
Definitions
- Present value
- The amount invested today at the start of the calculation.
- Future value
- What the present amount and recurring deposits grow to at the end of the horizon.
- Annuity factor
- The multiplier that accumulates a level series of equal deposits at the periodic rate.
- Annuity due
- A deposit stream paid at the beginning of each period, giving every payment one extra period of growth.
- Periodic rate
- The effective growth rate for one contribution period after compounding and fee assumptions.
Good to know
Future value, and the question it really answers
Future value is the single number that tells you what money becomes once you give it time to work. You hand the calculator three things you usually already know — what you hold today, what you intend to add along the way, and how long you will leave it alone — together with a growth rate, and it hands back the balance you would be looking at on the final day. Framed plainly, future value answers "if I do nothing differently, where does this end up?" It is the forward direction of the time-value-of-money idea, the principle that a dollar in hand is worth more than a dollar promised later because the dollar in hand can be put to work in the meantime. That single principle quietly governs mortgages, pensions, bond prices and the decision to take a lump sum or an annuity, and a future value tool is simply the most direct way to see it in action. What makes the figure powerful is also what makes it easy to misread: it is stated in the dollars of a distant year, not today's, so a six-figure result can feel larger than the spending power it truly represents. The rest of this calculator exists to keep that distinction honest — surrounding the headline with its inflation-adjusted twin, its after-fee and after-tax versions, and the reverse questions that let you steer toward a goal rather than merely watch a projection unfold.
How the engine backs the number out
Under the surface this tool does not crawl through your timeline month by month; it evaluates a closed-form expression in one pass. A starting amount left to grow follows a clean exponential path, while a stream of equal deposits follows what finance calls an annuity factor — a compact term that collapses "a payment that grows, plus the next payment that grows for one period less, plus the next" into a single multiplication. The future value is the starting amount carried forward at the growth rate, plus each deposit multiplied by that annuity factor. Because the whole thing is one formula rather than a simulation, every reverse question — solve for the rate, the duration, the deposit, the seed amount — is just the same expression rearranged or searched, which is why the answers appear instantly as you change an input. The one input that bends the shape of the curve is the compounding frequency. Rather than apply your nominal rate once a year, the engine first converts it into an effective annual rate that already reflects how often growth is credited, then drives the formula with that. The upshot is a result that matches a spreadsheet to the cent for any frequency, from annual all the way to continuous, without the rounding wobble a step-by-step loop can introduce near the end of a long horizon.
The two directions: growing forward, discounting back
Every future value has a mirror image called a present value, and holding both in view is the most useful habit this calculator can teach. Growing forward asks what a sum you own today turns into; discounting back asks what a sum promised in the future is worth right now. They use the same rate and the same horizon — one as a multiplier, the other as a divisor — so they always reconcile: discount a projected future value at the rate that produced it and you land back on your starting amount exactly. That symmetry is why the tool offers reverse modes at all. When you switch it to solve for the present value, it strips a single future sum back to today, the classic valuation move behind pricing a bond, a settlement offer or a deferred bonus. When you instead ask for the starting amount needed, it keeps your planned deposits in the picture and solves only for the seed capital that, together with those deposits, lands on the target. The first is a pure discounting question about one cash flow; the second is a goal-funding question about a whole plan. Keeping them as separate modes prevents the common error of discounting a future figure while quietly forgetting the contributions that were always meant to sit alongside it.
When deposits land: ordinary annuity versus annuity-due
A recurring deposit is worth more if it arrives at the start of each period than at the end, and over a long horizon that small timing difference compounds into real money. Deposits made at the end of each period form what is called an ordinary annuity — the standard assumption, since most people fund a plan out of income they receive during the period. Deposits made at the beginning form an annuity-due, and because every one of them gets an extra period of growth, the resulting future value is simply the ordinary figure scaled up by one more period's worth of return. The calculator lets you toggle between the two so you can see the gap rather than guess at it. For a typical monthly plan the difference looks modest as a percentage, but on a decades-long horizon it can amount to a meaningful slice of the final balance, and it is entirely free — the same money, merely contributed a few weeks earlier each cycle. Payroll-deducted retirement contributions, rent received in advance and insurance premiums are natural beginning-of-period flows; bills paid in arrears and most ad-hoc savings transfers are end-of-period. Matching the toggle to how your money actually moves keeps the projection honest.
Compounding frequency and the effective annual rate
A stated rate is not quite the rate you earn until you know how often it compounds, and the bridge between the two is the effective annual rate. Crediting growth more often lets the earliest gains begin earning a little sooner, which nudges the yearly outcome upward even though the headline rate has not changed. So a seven percent rate compounded monthly does not deliver seven percent over the year — it delivers a touch more, because each month's gain joins the balance and compounds for the rest of the year. The calculator surfaces this as the effective annual rate beside your inputs and draws the full ladder in the compound-frequency chart, stepping from annual through semi-annual, quarterly, monthly and daily to the continuous limit. Two things tend to surprise people when they study that ladder. First, the largest single jump is from annual to monthly; beyond monthly the gains shrink quickly, and the leap from daily to continuous is almost invisible. Second, the effect scales with the rate — at low rates the whole ladder is nearly flat, while at high rates the rungs spread apart. Knowing this lets you ignore marketing that trumpets "daily compounding" as a major advantage when, for ordinary rates, it adds only a sliver over monthly.
Nominal versus real: what the money will actually buy
The headline future value is a nominal figure, expressed in the dollars of the year you reach it, and on its own it flatters the result because those dollars buy less than today's. Real future value corrects for that by discounting the nominal balance at your assumed inflation rate, translating it back into present-day purchasing power so you can judge the outcome against prices you actually understand. The two can diverge sharply over a long horizon: a balance that reads as impressive in tomorrow's dollars can shrink to a far more sober gain once inflation is stripped out. Consider a plan that grows to two hundred thirty-seven thousand in nominal terms over twenty years; at two and a half percent inflation its real value is closer to one hundred forty-three thousand in today's money — still a solid result, but a very different number to anchor a retirement or a house deposit on. The practical lesson is to set goals in the frame you think in. If your target reflects a lifestyle or a price you understand now, judge the plan by its real future value; if you are matching a fixed future obligation quoted in tomorrow's dollars, the nominal figure is the right yardstick. Reading only the nominal number, and forgetting which frame you started in, is the most common way long-range plans quietly overstate themselves.
Fees and taxes: the quiet leaks in a long plan
Two costs sit between the gross projection and the money you keep, and both deserve to be modelled rather than waved away. A yearly fee — an expense ratio, a platform charge, an advisory percentage — is taken from the entire balance every year, so it does not just cost you its headline rate; it costs you all the future growth that the skimmed amount would have earned. That is why the calculator reports a lifetime fee impact that is larger than a naive multiplication suggests, and why a fee that sounds trivial can quietly consume a noticeable share of a multi-decade result. Tax is handled more gently, charged on the gain at the moment of withdrawal rather than nibbling at the balance each year, which mirrors how a capital-gains account behaves and leaves the compounding path undisturbed until the end. The after-tax value subtracts that single charge so you can see the spendable result. Crucially, the tool always shows the before-fee and pre-tax figures alongside the net ones, so the cost of each is never hidden inside a single number — you can read exactly how many dollars the fee removed and how many the tax took, and decide whether a cheaper account or a tax-sheltered wrapper would change the picture.
Sensitivity: how much the rate assumption matters
Of all the inputs, the growth rate is the one you are least certain about and the one the result leans on most heavily, which is why the calculator devotes a whole view to testing it. The sensitivity chart recomputes the future value across a band of nearby rates — a couple of points below your assumption, your assumption itself, and a couple of points above — and shows how far the outcome swings. Because growth enters as an exponent over many years, that swing is rarely gentle: a difference of two percentage points in the assumed rate can move a long-horizon result by a third or more. Seeing the spread does two things for a planner. It guards against false precision, reminding you that a future value is a projection bracketed by uncertainty, not a guarantee carried to the cent. And it helps you stress-test a goal: if the plan only succeeds at the optimistic end of the band, it is fragile; if it clears the target even at the pessimistic end, it is robust. The honest way to use any future value tool is to read the central figure as a midpoint and the sensitivity band as the range you should actually plan around, sizing your contributions so that even a disappointing rate still carries you home.
Working backward: turning a projection into a plan
A forward projection tells you where today's choices lead; the reverse modes let you start from where you want to end up and solve for the choice that gets you there. That inversion is what turns this from a curiosity into a planning instrument. Fix a target and the tool will tell you the annual rate it would demand — and if that rate is higher than any sensible investment delivers, you have learned something vital before committing a cent. Fix the target and the rate instead, and it solves for the number of years, putting a price on waiting and a value on starting sooner. Ask for the deposit and it sizes the monthly habit your goal requires; ask for the starting amount and it finds the seed capital that, alongside those deposits, closes the gap. Each of these is the same equation read from a different unknown, and each comes with a reality check: when a goal cannot be reached even by pushing an input to its limit, the calculator says so plainly rather than returning a fantasy. The discipline this encourages is simple and powerful — if the required rate looks unrealistic, you do not wish for a better market; you lengthen the horizon, lift the contribution, or trim the target until the plan rests on numbers an ordinary investment can actually supply.
A worked example, and the traps to avoid
Make it concrete. Start with twenty thousand dollars, add three hundred a month, assume a seven percent return compounded monthly, and leave it for twenty years. Your own money in over that stretch totals ninety-two thousand dollars — the starting sum plus two hundred forty deposits — and the calculator projects a future value of about two hundred thirty-seven thousand, which means growth manufactured roughly one hundred forty-five thousand of the result and your contributions multiplied about two and a half times over. Now layer in reality: a half-percent yearly fee and fifteen percent tax on the gain trim the spendable figure, and at two and a half percent inflation the real, today's-money value lands near one hundred thirty-four thousand. Flip the same inputs into a goal and the planning power appears — to reach half a million in those twenty years you would need to start with about eighty-five thousand instead of twenty, or lift the deposit from three hundred to around eight hundred a month, while the present value of that half-million today is roughly one hundred twenty-four thousand. The traps cluster around the readings, not the math: do not mistake the nominal balance for its real purchasing power; do not discount a future sum while forgetting the deposits that belong beside it; do not treat a fee as a rounding error when it compounds for decades; and do not read a single rate as destiny when the sensitivity band shows how wide the true range is.
Frequently asked questions
Does this calculator handle regular deposits, or only a one-time lump sum?
Both, and together. Your starting amount grows on its own while each recurring deposit grows for the time it remains invested, and the result adds the two streams. Set the deposit to zero for a pure lump-sum projection, set the starting amount to zero to value a deposit plan on its own, or combine them — which is how most real savings goals actually behave.
What is the difference between present value and future value here?
They are two readings of the same time-value-of-money relationship. Future value pushes a sum you hold today forward at a growth rate to find what it becomes; present value pulls a sum you want in the future backward at a discount rate to find what it is worth now. Solving for future value answers "what will my money grow into," while solving for present value answers "what would I need today to land on that figure" — the calculator does both from one engine.
Why does the calculator offer both a 'present value' and a 'starting amount needed' mode?
They answer different questions even though both work backward from a target. Present value discounts a single future sum on its own, ignoring any deposits — the classic "what is this worth today." Starting amount needed assumes you will also be making the recurring deposits you entered and solves only for the seed lump that, alongside those deposits, reaches the target. Use present value to price a one-off future payment; use starting amount needed to plan a goal you will keep feeding.
What is the real future value, and why is it lower than the nominal figure?
The nominal future value is the raw balance in the dollars of the final year. The real future value restates that balance in today's purchasing power by discounting it at your inflation rate, so it tells you what the money would actually buy. Because prices tend to rise, the real figure sits below the nominal one — and the gap widens the longer the horizon, which is why a large future balance can represent a more modest gain in genuine spending power.
How does the compounding frequency change the result?
It sets how often growth is converted into an effective annual rate before it is applied. A nominal rate compounded more often produces a slightly higher effective annual rate, because earlier gains start earning sooner, so monthly edges out annual and daily edges out monthly — with continuous compounding as the mathematical ceiling. The compound-frequency chart shows the whole ladder for your inputs, and the jump from annual to monthly is usually far larger than the jump from monthly to daily.
What do the growth multiple and effective return tell me?
The growth multiple takes your future value and divides it by every dollar you put in, so a multiple of two means your total contributions doubled. The effective return is the per-year net rate your money actually earns after the yearly fee is removed — distinct from the headline nominal rate, and distinct from the growth multiple, which folds many years of compounding into a single ratio. Reading them together separates how fast the money grows each year from how far it travels over the whole horizon.
How do fees and taxes affect the future value shown?
A yearly fee is treated as a drag on the whole balance every year, so it compounds against you and its lifetime cost — shown as the fee impact — is larger than the headline percentage suggests. Tax is applied to the gain at withdrawal rather than each year, which is the gentler, capital-gains-style assumption; the after-tax value subtracts that one-time charge. Both are optional, and the calculator always shows the before-fee and pre-tax figures alongside so you can see exactly what each one costs.