Future Value Calculator – Grow a Lump Sum or Monthly Savings
Future value answers the only question that matters before you save or invest a dollar: what will this money become? Enter a starting amount, a regular deposit, or both, pick the return you believe in, and this calculator grows it period by period — then shows you the split that changes how you think about saving: how much of the final figure is money you put in, and how much is interest that arrived on its own.
Your money, growing
Advanced options — deposit timing and compounding
Deposit timing and compounding are already included in the result with their default values — open Advanced options to change them.
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The future value
Where the final amount comes from
What this means
Save $200.00 a month on top of a $10,000.00 start for 10 years at 7.00% a year and the balance reaches an estimated $53,881.86. You put in $34,000.00 of it; interest contributes $19,881.86 — 36.9% of the final amount. The longer the horizon, the more of the balance is interest on interest: the deposits stop being the story and time takes over.
A projection, not a promise. This page grows your money at one steady rate. Real returns arrive in lumps — strong years, flat years, down years — and inflation quietly shrinks what the final figure can buy. Treat the number as the centre of a range: run it two points lower and two points higher before you build plans on it.
- Future value is the split that changes how you think about saving: how much of the final figure is money you put in, and how much is interest that arrived on its own.
- On the default — $10,000 to start, $200 a month at 7% for 10 years — the future value is $53,881.86.
- Timing is worth real money: a deposit made at the start of each period earns one extra period of interest compared with the same deposit at the end.
Watch it grow, year by year
Two lines tell the whole story. The gold dashed line is simply what you paid in — steady, straight, entirely under your control. The green curve is the balance, and it bends upward because each year’s interest starts earning interest of its own.
| Year | Balance | You have put in | Interest so far |
|---|---|---|---|
| 0 | $10,000.00 | $10,000.00 | $0.00 |
| 1 | $13,176.06 | $12,400.00 | $776.06 |
| 2 | $16,574.44 | $14,800.00 | $1,774.44 |
| 3 | $20,210.71 | $17,200.00 | $3,010.71 |
| 4 | $24,101.52 | $19,600.00 | $4,501.52 |
| 5 | $28,264.69 | $22,000.00 | $6,264.69 |
| 6 | $32,719.28 | $24,400.00 | $8,319.28 |
| 7 | $37,485.69 | $26,800.00 | $10,685.69 |
| 8 | $42,585.74 | $29,200.00 | $13,385.74 |
| 9 | $48,042.80 | $31,600.00 | $16,442.80 |
| 10 | $53,881.86 | $34,000.00 | $19,881.86 |
Let the same habit run further and the balance crosses a quiet line: by year 16 the interest alone stands at $50,174.12, more than the $48,400.00 you have put in by then. From that year on, the money is out-working the saver.
Compound Interest Calculator
The engine inside this page, on its own — one amount, one rate, and the year-by-year climb.
💹Investment Calculator
The same projection with withdrawals and longer horizons, for money already invested.
📈APY Calculator
Turn any quoted rate into its true annual yield, so two offers can be compared fairly.
How it works, in 3 steps
Start with what you have
A lump sum already saved does the heaviest early lifting, because it earns interest for the full term. On this page’s example, a $10,000 start becomes $19,671.51 all by itself. No lump sum yet? Enter zero — the deposits can carry the plan on their own.
Add what you can repeat
Regular deposits are the part of the future you control completely. $200 a month for 10 years is $24,000 out of your pocket that grows into $34,210.35 here. Pick an amount that survives a bad month, automate it, and choose start-of-period timing if your money lands on payday — it is worth a little extra, free.
Choose a rate you can defend
The rate is a weather forecast, not a setting. Run the projection at a cautious rate and an optimistic one and plan around the cautious figure. The difference between 5% and 7% on this page’s habit is $6,720.28 — big enough to matter, small enough that the habit still works either way.
How each figure is worked out
The two halves, in plain terms. The first half grows the lump sum: P is the starting amount, r the annual rate, m the compoundings per year and n the years. The second half grows the deposits: D is each deposit, N the total number of deposits, and i the interest rate per deposit period, converted from the same annual rate so both halves agree. Start-of-period deposits (an annuity due) get one extra period of growth, so that half is multiplied by (1 + i) once more. When the rate is zero, the second half is simply D × N — deposits with nothing added.
The default figures, worked through. The $10,000 start at 7%, compounded yearly for 10 years, becomes 10,000 × 1.0710 = $19,671.51. The 120 monthly deposits of $200, at the matching monthly rate, become $34,210.35. Together: $53,881.86. You supplied $34,000.00 of it; the other $19,881.86 is interest — money that was never in your pocket or your pay cheque.
The textbook checks. A lump sum alone — $10,000 at 8% for 10 years, no deposits — gives 10,000 × 1.0810 = $21,589.25. Deposits alone — $200 a month at 6%, compounded monthly, for 10 years — give $32,775.87, of which $24,000 is your money and $8,775.87 is interest. Run either pair of numbers through this page and you will land on the same cents.
Deep dives
Money at a steady rate doubles on a schedule. Divide 72 by the annual rate and you get roughly the doubling time in years: at 8%, about 9 years; at 6%, about 12; at 7%, a little over 10. It is a rule of thumb, but a good one — $10,000 at 8% becomes $21,589.25 in 10 years and $46,609.57 in 20, so the second decade added more than twice what the first did, on exactly the same money at exactly the same rate.
That asymmetry is the deepest fact on this page. Growth is not a wage, paid evenly by the hour. It is back-loaded: most of what a long-term balance earns arrives in the later years, when the balance doing the earning is largest. On the default habit here, interest is 36.9% of the final amount at year 10 — but 58.6% by year 20. Nothing about the habit changed; the interest simply had more interest to stand on.
The practical lesson cuts both ways. Starting early is worth more than starting big, because the early dollars are the ones that get to double twice. And stopping early is expensive in a way the balance hides: the years you skip are not the flat early years, they are the steep later ones you never reach.
Future value and present value are one calculation read from opposite ends. This page rolls money forward; the present value question rolls it back: what is a future sum worth today? They are exact inverses — $21,589.25 arriving in 10 years, discounted at 8%, is worth precisely $10,000.00 today. Lenders, courts and pension funds live on the backward version; savers plan with the forward one. If a future target is what you actually have — a house deposit, a tuition bill — the backward question is the one to ask.
Inflation is the first thing this number leaves out. The future value is in future dollars, and future dollars buy less. At a steady 3% inflation, the default result here — $53,881.86 in 10 years — spends like about $40,093 does today. That does not make the figure useless; it makes it a measuring stick rather than a shopping budget. If you want the answer in today’s buying power, run the same figures with the inflation rate subtracted from the return.
Taxes and fees are the other two silences. Interest in a taxable account is taxed as it lands or when you sell, depending on the account and the asset, and fund or plan fees skim a small percentage every year whether the market rises or not. Both drag the real future value below the projection. The honest use of this page is as an upper-bound map: plan so the plan still works a couple of points lower, and the silences stop mattering.
The levers, one at a time: what actually moves the final figure
Every projection on this page is the same habit — $10,000 to start, $200 a month, 7% a year compounded annually, 10 years — with one lever changed at a time. The table below was run through this page’s own calculator, so each row is reproducible by typing the same change in. Read it as a ranking of what matters: time and rate dominate, the starting amount and the deposit matter steadily, and compounding frequency and deposit timing are real but small.
| Change from the default | Future value | Interest earned | Interest share |
|---|---|---|---|
| Default ($10,000 + $200/month, 7%, 10 years) | $53,881.86 | $19,881.86 | 36.9% |
| Rate 5% instead of 7% | $47,161.58 | $13,161.58 | 27.9% |
| Rate 9% instead of 7% | $61,617.37 | $27,617.37 | 44.8% |
| 20 years instead of 10 | $140,204.12 | $82,204.12 | 58.6% |
| No starting amount ($0 + $200/month) | $34,210.35 | $10,210.35 | 29.8% |
| No monthly deposits ($10,000 only) | $19,671.51 | $9,671.51 | 49.2% |
| Compounding monthly instead of annually | $54,713.58 | $20,713.58 | 37.9% |
| Compounding daily instead of annually | $54,790.85 | $20,790.85 | 37.9% |
| Deposits at the start of each month (annuity due) | $54,075.29 | $20,075.29 | 37.1% |
Start with the rate, because it is the lever people argue about most and control least. Dropping from 7% to 5% costs $6,720.28 of final value; rising to 9% adds $7,735.51. The asymmetry is compounding itself: a higher rate does not add a fixed amount each year, it multiplies a growing balance, so the gain from 7% to 9% is larger than the loss from 7% to 5%. That is also why the guide above warns against planning on a single rate: a two-point error in either direction moves this ten-year projection by roughly $7,000, which is about a fifth of everything you put in. Plan on the cautious figure and treat anything above it as a bonus, not as the plan.
Next, the two halves of the default, separated. With no starting amount, the $200 monthly deposits alone reach $34,210.35 — $24,000 of deposits plus $10,210.35 of interest. With no deposits, the $10,000 lump sum alone reaches $19,671.51 — $9,671.51 of interest, which is 49.2% of its own final figure, the highest interest share in the table, because every dollar of it works for the full ten years. Add the two halves together and you get the default $53,881.86 exactly ($34,210.35 + $19,671.51), which is a useful check that the page’s two-part formula is doing what it claims: the lump-sum half and the deposits half are independent, and the total is their sum. If you have no lump sum yet, the deposits-only row is your starting point, and it is a respectable one: $24,000 in, $34,210.35 out, with no starting capital at all.
Why the second decade does most of the work
Run the default habit for 20 years instead of 10 and the final figure is $140,204.12, on $58,000 put in. The first decade ends at $53,881.86; the second decade ends $86,322.26 higher. Of that second-decade gain, $24,000 is new deposits — the same $200 a month for another ten years — and the remaining $62,322.26 is interest earned in the second decade alone. Compare that with the first decade’s interest of $19,881.86: the second decade earns more than three times as much interest as the first, on the same monthly habit, because it starts from a $53,881.86 balance instead of $10,000. This is the arithmetic behind the guide’s claim that compounding does its heaviest lifting in the second half, and it is also why starting a few years earlier beats saving a little more each month: earlier years buy you a larger balance for every later year to work on.
The same point shows up in the interest share. At 10 years, interest is 36.9% of the final figure; at 20 years it is 58.6%. Somewhere between those two horizons, interest overtakes deposits as the larger contributor — the guide above places that crossing in year 16, when the interest alone passes the amount put in. None of this means the later years are somehow more productive in themselves; the rate never changed. It means compounding is a balance effect, not a time effect: each year’s interest is a percentage of a balance that includes all previous years’ interest. A saver who stops after ten years and a saver who continues for twenty are not doing the same thing twice as long; the second saver is doing a different, larger thing in the second decade, because the balance they are compounding is nearly five times the one they started with.
There is a practical consequence that is easy to miss. If you are choosing between saving $200 a month for ten years starting now and saving $250 a month for ten years starting five years later, the earlier start usually wins even though the later plan deposits more per month, because the earlier plan’s balance has five extra years of compounding at every later stage. The calculator lets you test that directly: run your earlier-start plan, note the figure, then run the later-start plan with the higher deposit and compare. Do not take the comparison on trust from this paragraph; the whole point of the page is that the comparison costs thirty seconds of typing.
Compounding frequency and deposit timing: real, but small
Switching from annual to monthly compounding on the default habit raises the final figure from $53,881.86 to $54,713.58, a gain of $831.72. Switching to daily compounding raises it to $54,790.85, a gain of $908.99 over annual — only $77.27 more than monthly. The lesson is that compounding frequency has rapidly diminishing returns: going from once a year to twelve times a year is worth $831.72, but going from twelve times a year to 365 times a year is worth almost nothing, because the balance is already being updated often enough that further updates add little. A product that advertises daily compounding over monthly compounding is advertising a $77.27 difference on a $53,881.86 outcome, which is about 0.14%. It is not nothing, but it should never decide between two savings options when the rate differs by even a tenth of a point.
Deposit timing is smaller still. Moving the $200 deposits from the end of each month to the start — an annuity due — raises the final figure to $54,075.29, a gain of $193.43. Only the deposits half benefits, because the lump sum is already invested from day one; the deposits gain exactly one extra month of growth each, which on $24,000 of deposits at 7% is worth $193.43 over ten years. If your money genuinely lands on payday, take the start-of-period setting, because $193.43 is free. But do not restructure your finances to chase it: it is less than one month’s deposit, and it is dwarfed by a single extra year of saving or a single point of rate. The ranking from the table is the ranking to plan by: years first, rate second, deposits third, and frequency and timing as finishing touches.
One last check on the table, because projections invite a false precision. Every figure above is exact arithmetic at a fixed rate, and real returns are not fixed: they arrive in strong years, flat years and down years, and inflation shrinks what the final figure buys. The $140,204.12 twenty-year figure is not a promise of $140,204.12 of spending power; it is the centre of a range whose width depends on the real path of returns and prices. Use the calculator the way the guide above suggests — run two points lower and two points higher, plan around the cautious figure — and the table’s ranking, rather than any single figure in it, is what you can safely carry into a plan.
Reading the year-by-year table the page already shows
The page’s own year-by-year table is the best check on everything above, because it shows the two halves of the balance separately at every year. At year 5 the balance is $28,264.69, made of $22,000 you put in and $6,264.69 of interest — interest is only 22.2% of the balance at the halfway mark. At year 10 the balance is $53,881.86, made of $34,000 put in and $19,881.86 of interest — 36.9%. The deposits grew by $12,000 between year 5 and year 10, but the interest grew by $13,617.17, from $6,264.69 to $19,881.86. In the second half, interest added more than deposits did, even though the deposits never stopped. That crossover — the point where a year’s interest exceeds a year’s deposits — is the moment a savings habit stops feeling like saving and starts feeling like growth, and on this habit it happens somewhere in the second half, when the balance is large enough that 7% of it exceeds $2,400 a year of deposits.
The table also disciplines the most common misreading of a projection, which is to treat the final figure as evenly earned. It is not: year 1 adds $776.06 of interest, year 5 adds $1,763.17 over the previous year ($6,264.69 minus $4,501.52), and year 10 adds $3,439.06 ($19,881.86 minus $16,442.80). Each year’s interest is larger than the last, because each year’s balance is larger than the last. A saver who quits at year 5 has earned $6,264.69 of interest; a saver who continues to year 10 earns $19,881.86, more than three times as much, for twice the time and only about one and a half times the deposits. Quitting early does not cost you half the interest; it costs you the heaviest years, which are always the last ones. That is the single most expensive misunderstanding in personal saving, and the year-by-year table exists to prevent it.
Nominal future value and real purchasing power
The calculator returns nominal dollars. A future value must be compared with the future cost of the goal, or discounted for inflation, before it is judged enough.
Take the lump-sum example from the companion guide: $10,000 at 5% for 10 years grows to $16,288.95 in nominal dollars. If prices rise at 2% a year over the same decade, the purchasing power of that $16,288.95 in today prices is $16,288.95 divided by 1.02 to the power of 10, which is $13,362.61. The investment grew by $6,288.95 in nominal terms, but by only $3,362.61 in real terms, because $2,926.34 of the nominal growth merely kept pace with prices. The real rate, approximately the nominal rate minus inflation, 5% minus 2% is about 3%, is the rate that matters for planning, and it is why a projection at a high nominal rate in a high-inflation environment can look generous while buying little more than the starting amount.
Apply the same discount to a goal, not only to the savings. A goal that costs $16,289 in ten years prices, at 2% inflation, costs about $13,363 in today prices, and a savings plan that reaches $16,289 nominally has exactly funded it, no more and no less. The error to avoid is comparing a nominal future value with a today price, which flatters every projection by the full inflation over the term, and grows with the term: over 30 years at 2% inflation, a nominal figure must be divided by 1.81 to give today purchasing power, so a $416,129 nominal projection is about $229,700 in today prices. State the price basis, nominal or real, alongside every future value quoted, and the comparison stays honest. Present-value calculations, which discount future amounts back to today systematically, belong to the Present Value Calculator, and net-present-value comparisons belong to the NPV Calculator; this page stays with growth, and this section states the inflation adjustment that growth figures need before they are read as wealth.
Future value questions, answered
What is future value?
Future value is what a sum of money will grow into by a future date, once interest is added. It combines what you start with, what you add along the way, the rate the money earns, and the time it has to earn it. On this page’s example — a $10,000 start plus $200 a month at 7.00% for 10 years — the future value is $53,881.86: $34,000.00 of your money and $19,881.86 of interest. It is the mirror image of present value, which asks what a future sum is worth today.
How do I calculate the future value of a lump sum?
Multiply the amount by (1 + the rate) raised to the number of years, adjusting the rate and the exponent if interest compounds more often than yearly. For $10,000 at 8% a year over 10 years: 10,000 × 1.08^10 = $21,589.25. Compounded monthly instead, the same money reaches $22,196.40 — more frequent compounding always adds a little, because interest starts earning interest sooner.
What will regular monthly deposits grow to?
Each deposit is its own small lump sum, growing for whatever time it has left, and the future value is the total of all of them — the formula in the worked section adds them up in one step. Deposits of $200 a month at 6% a year, compounded monthly, over 10 years grow to $32,775.87. You paid in $24,000.00 of that; the remaining $8,775.87 is interest the deposits earned along the way.
What is the difference between an ordinary annuity and an annuity due?
Timing, and only timing. An ordinary annuity pays at the end of each period; an annuity due pays at the start. A start-of-period deposit earns one extra period of interest, so over a whole plan the annuity due comes out ahead by exactly one period’s growth on the ordinary figure. On $200 a month at 6% over 10 years that is $32,939.75 against $32,775.87 — a difference of $163.88 for changing nothing but when the money moves. Rent and most subscriptions are annuities due; most loan payments are ordinary annuities.
Does compounding more often make a real difference?
A real difference, but a modest one — and it shrinks as the rate falls. Take $10,000 at 8% for 10 years: compounded yearly it becomes $21,589.25, quarterly $22,080.40, monthly $22,196.40, and daily $22,253.46. Daily beats yearly by $664.21 over a whole decade. Worth having, never worth choosing an account for on its own: a slightly higher rate or a lower fee will usually matter more than the compounding schedule.
Is the future value shown here a guarantee?
No. It is the exact answer to a deliberately simplified question — what happens at one steady rate, with no taxes, no fees and no bad years. Real money grows unevenly, inflation shrinks what the final figure buys, and tax may be due on the interest. Use the number as the centre of a range, not a promise: if your plan still works at a rate two points lower, it is a plan; if it only works at the optimistic figure, it is a hope.
What does monthly compounding add over annual compounding?
On the default habit — $10,000 to start, $200 a month, 7%, 10 years — monthly compounding gives $54,713.58 against $53,881.86 annually, a gain of $831.72. Daily compounding gives $54,790.85, only $77.27 more than monthly. Frequency matters, but it flattens fast: the jump from yearly to monthly is worth more than ten times the jump from monthly to daily, so never let a daily-compounding claim outweigh even a small difference in rate.
Can I start with no lump sum at all?
Yes. Enter zero as the starting amount and the $200 monthly deposits alone reach $34,210.35 after 10 years at 7% — $24,000 of deposits plus $10,210.35 of interest, which is 29.8% of the final figure. The interest share is lower than the default’s 36.9% because deposits trickle in over time instead of working from day one, but the habit alone still turns $24,000 into more than $34,000.
Why does the 20-year figure more than double the 10-year one?
Because the second decade starts from $53,881.86, not $10,000. The 20-year figure is $140,204.12, which is $86,322.26 above the 10-year figure. Only $24,000 of that is new deposits; the other $62,322.26 is interest earned in the second decade alone, more than three times the first decade’s $19,881.86. Compounding is a balance effect: a bigger balance earns more interest at the same rate, so later decades are always heavier than earlier ones.
Does depositing at the start of the month matter?
A little, and it is free if your money lands on payday. Switching the default habit to start-of-month deposits (an annuity due) raises the final figure from $53,881.86 to $54,075.29, a gain of $193.43. Only the deposits gain, because the lump sum is invested from day one either way; each deposit simply gets one extra month of growth. Take it if it matches your payday, but do not let $193.43 decide a savings plan.
How do I calculate future value in Excel?
With the FV function: =FV(rate, nper, pmt, pv, type). For monthly deposits of $500 at 5% for 30 years, use =FV(0.05/12, 360, -500), which returns $416,129.32. The rate and period count must describe the same period, payments out are negative, and type is 0 for end-of-period payments or 1 for beginning-of-period payments. The companion guide works four Excel examples by hand.
Is a future value figure in today money or future money?
Future money: nominal dollars at the future date, before inflation. To express it in today purchasing power, divide by 1 plus the inflation rate, raised to the number of years: $16,288.95 in 10 years at 2% inflation is $13,362.61 in today prices. Compare a nominal future value with the future cost of the goal, or discount both to today prices, and never compare a nominal future value with a today price.
What if the interest rate changes during the term?
Use a year-by-year table, not a single FV calculation, because FV assumes a constant rate. Split the term at each rate change, carry the balance forward as the starting amount for the next segment, and add the segments. The calculator year-by-year table performs the same split for deposit timing and compounding choices, and any changing-rate projection should be built the same way, segment by segment, with each segment checked separately.
Related calculators
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📖Future Value Formula in Excel
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A projection for planning — not financial advice.
This calculator grows your money at one steady rate that you supply. Real investments do not move in straight lines: returns vary year to year, inflation reduces what the final figure can buy, taxes may be due on interest, and fees reduce the return actually earned, so your real future value will differ from any figure shown here. Nothing on this page is a recommendation of any specific account, fund or product. For decisions about your own money, run the cautious version of the numbers as well as the optimistic one, and where it matters, talk to a qualified adviser.
Put time on your side — the earliest deposit is the one that grows the most.
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