Future Value Calculator
See what your money grows to with interest and regular contributions
โณ Investment details
Last updated June 2026
Method: Uses the standard future-value formulas - FV = PV x (1+r)^n for a lump sum and the ordinary-annuity (or annuity-due) formula for regular payments. The annual rate is converted to the periodic rate that matches your chosen compounding frequency.
Included: Starting amount, periodic contributions, compounding frequency, payment timing (start vs. end of period), interest earned, total invested and a year-by-year growth table.
Not included: Inflation, taxes, investment or account fees, and variable or guaranteed returns. Results assume a constant rate and are estimates, not investment advice.
Future value calculator: how your money grows
Suppose you start with $10,000 and add $200 every month for 20 years in an account earning 7% annually, compounded monthly. Your contributions total $48,000 and your starting balance is $10,000 - so you put in $58,000. Yet the ending balance is roughly $144,500. The extra ~$86,500 is compound growth: interest earning interest, year after year. That gap is the entire point of a future value calculator - it shows what disciplined investing turns into over time.
The future value formula
For a one-time lump sum, future value is:
FV = PV × (1 + r)n When you also make a fixed deposit each period, you add the future value of an ordinary annuity:
FV = PV × (1 + r)n + PMT × ((1 + r)n − 1) ÷ r where PV is the present value (starting amount), PMT is the payment each period, r is the periodic interest rate (annual rate ÷ periods per year), and n is the total number of periods (years × periods per year). If payments are made at the start of each period (an annuity due), the annuity portion is multiplied by (1 + r) for the extra period of growth.
Why compounding frequency matters
The same 7% annual rate produces different results depending on how often it compounds. With monthly compounding, the periodic rate is 7% ÷ 12 ≈ 0.583% applied 12 times a year, so interest is added more often and starts earning its own interest sooner. Daily compounding edges out monthly, monthly beats annual, and so on. Choosing the compounding option that matches your account (most savings and investment accounts compound at least monthly) keeps the estimate realistic.
Time is the biggest lever
Because future value grows with (1 + r)n, the exponent n drives the outcome more than almost anything else. Adding ten years to a 20-year horizon can more than double the ending balance, even with the same contributions. This is why starting early - even with small amounts - usually beats starting later with larger amounts. Use the year-by-year table to see how the balance accelerates in the later years as compound growth takes over.
Nominal vs. real dollars
The calculator returns future value in nominal dollars - the actual number you would see in the account. To understand buying power, subtract expected inflation from your return and enter that lower real rate; the result is then expressed in today's dollars. For example, a 7% nominal return with 3% inflation is roughly a 4% real return, which gives a much more conservative (and arguably more honest) picture of what your money will actually be worth. If you want to see how rising prices erode a fixed sum on their own, the Inflation Calculator isolates that effect.
How to use this calculator
You only need a few inputs to get a realistic projection. Work through the fields in order:
- Starting amount (present value): the lump sum you have today. Enter 0 if you are starting from scratch and relying purely on contributions.
- Regular contribution: the amount you add each period. Make sure this matches your compounding choice - a monthly contribution with monthly compounding, an annual contribution with annual compounding.
- Annual interest rate: your expected rate of return as a yearly percentage. The calculator converts it to the correct periodic rate automatically.
- Years: how long the money stays invested. This is the most powerful lever - small changes here move the result a lot.
- Compounding frequency: how often interest is added (annually, monthly, daily). Pick the one that matches your account.
- Payment timing: choose end of period (an ordinary annuity) or start of period (an annuity due) to match when you actually deposit.
The result updates instantly. Read the ending balance at the top, compare it to your total contributions to see how much is pure growth, then scroll the year-by-year table to watch the balance accelerate.
A second worked example: starting from zero
Suppose you have nothing saved but commit to $500 a month for 30 years at a 6% annual return, compounded monthly. Over those three decades you contribute $180,000 of your own money. Yet the ending balance is roughly $502,000 - meaning compound growth alone added about $322,000, nearly twice what you put in. Now change just one input: stretch the horizon to 40 years. Your contributions rise to $240,000, but the ending balance jumps to about $1,000,000. Ten extra years roughly doubled the result, even though you only added 33% more cash. That is the exponential nature of compounding, and it is the single best argument for starting early.
Who this calculator is for
Future value is one of the most broadly useful calculations in personal finance. This tool helps:
- Retirement savers projecting what a 401(k), IRA or brokerage account could grow to by a target age - pair this with the Retirement Calculator for a full plan.
- Parents estimating a college fund or 529 balance from regular contributions.
- Goal savers sizing a down payment, emergency fund, or large purchase years out - the Savings Calculator works the same math toward a target.
- New investors who want to see why "time in the market" matters before they choose a contribution rate.
- Anyone comparing accounts who wants to see how a higher rate or more frequent compounding changes the ending balance.
Key terms explained
- Present value (PV): the starting amount - what your money is worth today before it grows.
- Future value (FV): the ending balance - what that money plus contributions is worth at the end of the horizon.
- Periodic rate (r): the annual rate divided by the number of compounding periods per year. Monthly compounding at 6% gives a periodic rate of 0.5%.
- Number of periods (n): years multiplied by periods per year - the exponent that drives compound growth.
- Annuity: a series of equal payments. An ordinary annuity pays at the end of each period; an annuity due pays at the start.
- Nominal vs. real return: nominal is the raw rate; real subtracts inflation to show buying power in today's dollars.
What changes the result the most
If you adjust the inputs and watch the ending balance move, a clear ranking emerges:
- Time horizon: the dominant factor, because it sits in the exponent. Adding years compounds growth on growth.
- Rate of return: over long horizons even a one-point difference in rate can change the result by tens of percent.
- Contribution amount: raises the result steadily and predictably - the most controllable lever.
- Compounding frequency: matters at the margin; more frequent compounding helps, but less than time or rate.
- Payment timing: an annuity due edges out an ordinary annuity by one extra period of growth on every deposit.
The Rule of 72: a quick sanity check
Before you trust any future value number, it helps to have a rough estimate in your head. The Rule of 72 is a classic shortcut: divide 72 by your annual rate of return to approximate how many years it takes money to double. At 6% a lump sum doubles in about 72 ÷ 6 = 12 years; at 8% it doubles in roughly 9 years; at 3% it takes about 24 years. So $10,000 left untouched at 8% becomes about $20,000 after 9 years, $40,000 after 18, and $80,000 after 27 - three doublings. The rule ignores contributions and is only an approximation (it is most accurate between 6% and 10%), but it is a fast way to gut-check the calculator: if the tool says a one-time deposit quadrupled in the time it should have merely doubled, you probably entered the rate or the years wrong. Use it as a guardrail, then let the calculator handle the exact math and the contribution stream.
Lump sum vs. regular contributions
There are two ways to fund a future goal, and they grow differently. A lump sum invested today has the maximum amount of time to compound, so every dollar earns returns for the full horizon. A stream of regular contributions drips money in over the years, so your last deposit barely has time to grow at all while your first deposit compounds nearly as long as a lump sum would. If you have a fixed amount of cash available now, investing it all at once usually beats spreading it out, simply because more money is exposed to growth for longer. In practice, though, most people do not have a large sum sitting idle - they invest what they can each paycheck, which is why the annuity portion of the formula matters so much. The calculator lets you model either approach: set the contribution to zero to see a pure lump-sum projection, set the starting amount to zero to see a pure contribution plan, or combine both to match how you actually save. Comparing the two side by side often reveals that consistency over many years rivals or beats a one-time windfall invested late.
How taxes and account type change the outcome
The raw future value assumes nothing is skimmed off along the way, but the account you hold the money in can change your real ending balance substantially. In a taxable brokerage account, interest and dividends are taxed in the year you receive them and capital gains are taxed when you sell, both of which act like a small annual drag on the rate. In a tax-deferred account such as a traditional 401(k) or IRA, the money compounds untaxed and you pay ordinary income tax only on withdrawals - so the full pre-tax balance keeps working for you the whole time. In a Roth account, you contribute after-tax dollars but qualified withdrawals are entirely tax-free, meaning the future value you see is closer to what you actually keep. This calculator does not model any of these tax treatments; to compare them fairly, run the same inputs and then apply your expected tax rate to the result, remembering that tax-advantaged accounts will end up ahead of a taxable account earning the identical rate. The takeaway is simple: where you invest can matter almost as much as how much and how long.
Limitations and assumptions
This calculator is a planning estimate, not a forecast. Keep these assumptions in mind:
- It assumes a constant rate for the whole horizon. Real returns are volatile, and a poor sequence of early returns can leave you short of the projection.
- It does not adjust for inflation unless you deliberately enter a real (inflation-adjusted) rate.
- It excludes taxes on interest, dividends and capital gains, as well as account and fund fees, all of which reduce the actual balance.
- It assumes contributions stay level; in practice many savers increase deposits over time as income grows.
- The result is a single scenario - run a lower rate to see a more cautious case and a higher one for an optimistic case.
How it compares to related calculators
This page answers "what will my money grow to?" If you have a different question, a sister tool fits better:
- To discount a future amount back to today's dollars, use the Present Value Calculator.
- To focus purely on interest-on-interest without contributions, use the Compound Interest Calculator.
- To project a portfolio with contributions and withdrawals, use the Investment Calculator.
- To find the annualized growth rate between a start and end value, use the CAGR Calculator.
- To structure a fixed series of payments or a payout, use the Annuity Calculator, and to plan a retirement nest egg, the Retirement Calculator.
Sources
- U.S. Securities and Exchange Commission (Investor.gov) - Compound Interest Calculator and how compounding works.
- Consumer Financial Protection Bureau (CFPB) - Compounding frequency, APY and how interest is credited.
- U.S. Securities and Exchange Commission (Investor.gov) - Investing basics, return expectations and risk.
โ ๏ธ Common mistakes & edge cases
Mismatching the payment and compounding period
If interest compounds monthly, your contribution field should be the amount you deposit each month - not a yearly total. Entering an annual figure with monthly compounding overstates the future value dramatically. Match the payment to the compounding period you select.
Ignoring start-of-period vs. end-of-period
An annuity due (payments at the start of each period) grows faster than an ordinary annuity because every deposit earns one extra period of interest. Over decades the difference can be thousands of dollars, so set the payment timing to match how you actually invest.
Treating an assumed rate as guaranteed
A constant rate is a modeling assumption, not a promise. Real markets are volatile, and a bad sequence of early returns can leave you well short of the projection. Treat the output as one scenario, and test a lower rate to see a more cautious case.
Forgetting taxes, fees and inflation
The result is pre-tax and pre-fee, in nominal dollars. Account fees, fund expense ratios, and taxes on interest, dividends or gains all reduce the real outcome, and inflation erodes buying power. For a true picture, use a real (inflation-adjusted) rate and account for costs separately.
❓ Frequently asked questions
What is future value?
Future value (FV) is what a sum of money is worth at a future date, assuming it earns a steady rate of return. A dollar invested today is worth more than a dollar later because it can earn interest; future value measures exactly how much more. It is the opposite of present value, which discounts a future amount back to today's dollars.
How is future value calculated?
For a lump sum: FV = PV x (1 + r)^n, where PV is the present value, r is the periodic interest rate, and n is the number of periods. When you also make regular deposits, add the future value of an ordinary annuity: FV = PV x (1+r)^n + PMT x (((1+r)^n - 1) / r), where PMT is the payment each period.
What is the difference between an ordinary annuity and an annuity due?
In an ordinary annuity, payments are made at the end of each period, so each deposit earns interest from the next period onward. In an annuity due, payments are made at the start of each period, giving every deposit one extra period of growth. An annuity due always has a slightly higher future value, equal to the ordinary annuity result multiplied by (1 + r). Use the payment-timing setting to switch between them.
How does compounding frequency affect future value?
More frequent compounding means interest is calculated and added more often, so you earn interest on interest sooner. Monthly or daily compounding produces a higher future value than annual compounding at the same stated annual rate. The calculator converts your annual rate to the correct periodic rate based on the compounding option you choose.
Should I use a nominal or real rate of return?
If you enter a nominal rate, the future value is in future (nominal) dollars and does not account for inflation. To estimate buying power, use a real rate of return (your expected return minus expected inflation); the result is then in today's dollars. The calculator does not adjust for inflation on its own.
Does the future value include taxes and fees?
No. This calculator shows pre-tax, pre-fee growth at a constant assumed rate. Real returns fluctuate year to year, and investment fees, account fees and taxes on interest, dividends or capital gains will reduce your actual ending balance. Treat the result as an idealized estimate, not a guarantee.
What is the difference between future value and present value?
Future value moves money forward in time: it tells you what a sum today, plus any contributions, grows into at a future date. Present value does the opposite - it discounts a future amount back to what it is worth today. They use the same factor (1 + r)^n, but future value multiplies by it while present value divides by it. Use future value to project savings; use present value to compare offers or price a future cash flow in today's dollars.
How do I use a future value calculator to set a savings goal?
Work backward from the number you need. Enter your target time horizon and a realistic rate, then adjust the starting amount and monthly contribution until the ending balance reaches your goal. Because the result responds far more to the number of years than to small changes in the contribution, the most powerful adjustment is usually starting sooner. If the goal still looks out of reach, lengthen the horizon, raise the contribution, or accept a more conservative target rather than assuming a higher return.
What interest rate should I assume for an investment?
There is no single correct number - it depends on what you are invested in. A diversified stock portfolio has historically returned roughly 7% per year after inflation over long periods, though any single decade can be much higher or lower. Bonds and cash typically return less. A high-yield savings account or CD pays whatever its stated APY is. Be conservative: it is far better to be pleasantly surprised than to plan around an optimistic rate that does not materialize. Running a lower rate alongside your base case shows you the downside.
Why does the balance grow faster in the later years?
Compound growth is exponential, not linear. In the early years your balance is small, so the interest it earns is small too. As the balance builds, each year's interest is calculated on a larger base - and that interest then earns its own interest. By the final years of a long horizon, annual growth from returns can exceed everything you contribute that year. The year-by-year table makes this visible: the gap between the line and your total contributions widens sharply toward the end.
What is the Rule of 72 and how does it relate to future value?
The Rule of 72 is a mental shortcut for future value: divide 72 by your annual rate of return to estimate how many years it takes a lump sum to double. At 6% money doubles in about 12 years, at 8% in about 9 years, and at 3% in about 24 years. It ignores contributions and is only an approximation - most accurate between roughly 6% and 10% - but it is a quick way to sanity-check the calculator's output before trusting the exact figure.
Is it better to invest a lump sum or contribute regularly?
If you already have a sum of cash available, investing it all at once usually produces a higher future value because every dollar compounds for the full time horizon. Regular contributions grow less per dollar since later deposits have little time to compound, but for most people steady contributions are the realistic option - you invest what you earn each period. The calculator handles either: set contributions to zero for a pure lump sum, set the starting amount to zero for a pure contribution plan, or combine both.
๐ก Good to know
Starting early beats saving more
Because time sits in the exponent, an early start usually outperforms a later, larger effort. A saver who invests for 40 years can finish well ahead of one who contributes more per month but starts a decade later. If you can only change one thing, start sooner.
Use a real rate for buying power
The ending balance is in nominal dollars. To know what it will actually buy, subtract expected inflation from your return and enter that lower real rate. A 7% return with 3% inflation is closer to a 4% real return - a more honest planning figure.
Plan with a conservative rate
Real returns are volatile and never guaranteed. Run your projection with a lower rate alongside your base case so you see the downside. It is far better to be pleasantly surprised than to build a plan around an optimistic assumption.