Future Value Calculator
Determine how much your money will grow over time. Enter a present value, optional periodic payments, interest rate, and time period to see the future value with a year-by-year breakdown.
Future value is the central concept in the time value of money: a dollar today is not the same as a dollar in 10 years, because today's dollar can be invested and compound. The future value calculation tells you what a present-day amount, plus any periodic contributions, will be worth at a future date given an assumed rate of return.
The formula has two parts. The future value of a lump sum is the easier piece — present amount times (1 + rate) raised to the number of periods. The future value of an annuity (a series of equal periodic payments) is more involved because each payment compounds for a different number of periods. Combined, the two cover almost every saving-and-investing scenario: a 401(k) balance growing alongside ongoing contributions, a savings account growing with monthly deposits, a college fund growing alongside annual contributions.
This calculator handles both pieces and offers a payment-timing toggle: payments at the end of each period (ordinary annuity, the convention for most retirement contributions) vs. the beginning (annuity due, where each payment gets one extra period of compounding). The end-vs-beginning choice changes the result by exactly one period of growth — small over short horizons, meaningful over decades.
Inputs
Results
Future Value
$47,304
Total Contributions
$30,000
Total Interest
$17,304
Growth Over Time
Contributions vs Interest
Year-by-Year Breakdown
| Year | Start Balance | Contribution | Interest | End Balance |
|---|---|---|---|---|
| 1 | $10,000.00 | $2,000.00 | $700.00 | $12,700.00 |
| 2 | $12,700.00 | $2,000.00 | $889.00 | $15,589.00 |
| 3 | $15,589.00 | $2,000.00 | $1,091.23 | $18,680.23 |
| 4 | $18,680.23 | $2,000.00 | $1,307.62 | $21,987.85 |
| 5 | $21,987.85 | $2,000.00 | $1,539.15 | $25,527.00 |
| 6 | $25,527.00 | $2,000.00 | $1,786.89 | $29,313.88 |
| 7 | $29,313.88 | $2,000.00 | $2,051.97 | $33,365.86 |
| 8 | $33,365.86 | $2,000.00 | $2,335.61 | $37,701.47 |
| 9 | $37,701.47 | $2,000.00 | $2,639.10 | $42,340.57 |
| 10 | $42,340.57 | $2,000.00 | $2,963.84 | $47,304.41 |
Formula
How to use this calculator
- Enter the present value — any lump sum you have today that will grow at the stated rate. Set to 0 if you are only modeling future contributions.
- Enter the periodic payment — the amount added at each compounding interval. The calculator uses annual contributions; divide a monthly figure by 12 if you need to be precise.
- Enter an expected annual interest or rate of return. Use realistic numbers: 4–5% for high-yield savings, 3–5% for bonds, 6–8% for a diversified equity portfolio in real terms, 7–10% in nominal terms.
- Enter the time horizon in years. The future value grows exponentially with time — this is the input that matters most for long-term planning.
- Choose payment timing. "End of year" is the standard convention for ordinary annuities (most 401(k)s, IRAs, savings deposits). "Beginning of year" gives each payment one extra year of compounding, suitable for annuities-due like some lease and insurance payments.
- Review the future value alongside the breakdown of contributions vs. growth. Over long horizons, growth usually dwarfs contributions — that's the power of compounding made visible.
- For inflation-adjusted ("real") future value, run the calculator once with your nominal expected return, then compare to the same calculation using a rate roughly 2–3% lower for an inflation-adjusted view.
Worked examples
Lump sum, no contributions — the Rule of 72
$10,000 invested today, 7% annual return, 30 years, no contributions. FV = 10,000 × (1.07)^30 ≈ $76,123 By Rule of 72, money doubles in 72 ÷ 7 ≈ 10.3 years. So $10,000 → $20,000 by year 10, $40,000 by year 20, $80,000 by year 30. The calculator confirms this rule is a useful mental approximation.
Annuity only — $2,000/year for 30 years
$0 lump sum, $2,000 contributed at end of each year, 7% return, 30 years. FV = 2,000 × [(1.07)^30 − 1] / 0.07 ≈ $188,922 Total contributed: $60,000. Growth: $128,922 — more than twice what you put in. This is what makes early-career saving so powerful.
Lump sum + ongoing contributions — combined power
$10,000 today, $2,000/year added, 7% return, 30 years. Lump sum future value: ≈ $76,123 Annuity future value: ≈ $188,922 Total: ≈ $265,045 Total contributed: $70,000 ($10k initial + $60k over time). Growth: $195,045. Compounding nearly tripled the principal over three decades.
When to use this calculator
Use this calculator any time you want to project a savings or investment outcome forward — modeling a 401(k) balance at retirement, a 529 college fund at age 18, a savings goal at a target date, or the eventual value of a bond reinvested at its yield. It is the single most useful piece of personal finance math, and it underlies almost every other financial calculator (compound interest, retirement, college savings, FIRE planning).
Pair it with the present-value calculator to do the reverse: "I need $X at year Y — how much do I need today?" Pair it with the compound-interest calculator to model monthly (rather than annual) compounding, which matters for high-frequency contributions. For inflation-adjusted views, also see the inflation calculator.
It is less useful as a precision forecasting tool. Real-world returns vary widely year to year — a 7% average return often hides individual years of −20% and +30%. The calculator gives you the math of compound growth, not a guarantee. For high-precision financial planning, use multiple scenarios (conservative, expected, aggressive) and Monte Carlo modeling for portfolio decisions.
Common mistakes to avoid
- Confusing average return with sequence return. A portfolio averaging 7% over 30 years can deliver very different real outcomes depending on whether bad years come early (sequence risk) or late. FV math assumes a steady rate.
- Using nominal returns for inflation-sensitive goals. A $1M future value at 7% nominal over 30 years has the real purchasing power of about $412,000 at 3% inflation. Always note whether your rate is nominal or real.
- Forgetting to match payment frequency to rate frequency. If you contribute monthly, use the monthly rate (annual ÷ 12) and the number of months (years × 12). Mixing annual rate with monthly contributions overstates the result.
- Treating the future-value answer as a guaranteed outcome. The formula is deterministic; markets are not. Future value math is best used as a baseline estimate, not a promise.
- Ignoring fees and taxes. A 7% gross return becomes ~6.5% after a 0.5% expense ratio, and ~5% after taxes on dividends and capital gains in a taxable account. Plug in your net expected rate.
- Mismatching payment timing. Most retirement contributions are end-of-period (ordinary annuity). Insurance premiums and many leases are beginning-of-period (annuity due). Picking the wrong one nudges the answer by exactly one period of compounding.
Frequently Asked Questions
Sources & further reading
- Compound Interest Calculator and Educational Materials — U.S. Securities and Exchange Commission
- Time Value of Money — Investor Education — Financial Industry Regulatory Authority
- Saving and Investing — A Roadmap to Your Financial Security — U.S. Securities and Exchange Commission