The free future value calculator shows what one sum grows to at a fixed rate, or how much to invest today to reach a target. Pick daily, monthly, quarterly or annual compounding. At 7% compounded monthly, $25,000 grows to $71,223.67 in 15 years, 2.85 times the starting amount.
Future value
$71,223.67
$25,000 at 7% compounded monthly grows to $71,223.67 in 15 years, 2.85 times the starting amount.
Informational only, not financial advice.
- Future value
- $71,223.67
- Future value in present-day dollars
- $45,715.76
- Amount needed today
- $25,000.00
- Total deposits
- $0.00
- Growth
- $46,223.67
- Effective annual rate
- 7.229%
- Growth multiple
- 2.85
Saved scenarios
Saved in this browser only. Each column is recalculated whenever the page loads.
Year by year
| Year | Growth so far | Value |
|---|
How this is calculated
- How it works
- FV = PV × (1 + r ÷ n)^(n × t). Each monthly deposit D grows at the monthly rate i = (1 + r ÷ n)^(n ÷ 12) − 1 that matches the compounding, adding D × ((1 + i)^(12t) − 1) ÷ i, times (1 + i) when deposits are made at the start of each month. With a yearly increase g, the deposits in year y are D × (1 + g)^(y − 1), each year's twelve grown to the end like the level ones. Solving for the amount needed today runs it backward: PV = (target − the deposits' future value) ÷ (1 + r ÷ n)^(n × t). Growth is the future value minus everything paid in. The value in present-day dollars divides the future value by (1 + inflation)^t. Daily compounding uses 365 days a year, so a calculator that counts calendar days between two dates can differ by a few dollars.
- Privacy
- Your numbers never reach our server. The math runs on your device, inside this page.
- Corrections
- Report an error in the math to media@coinlaw.io; every report is reviewed and confirmed errors are corrected.
- Updates
- Adds an optional monthly deposit, made at the start or the end of each month, to both the future value and the amount needed today.
- The monthly deposit can rise each year, and the future value is also shown in present-day dollars.
- Feedback
- How useful was this tool?
Table of Contents
How to Use the Future Value Calculator
Six controls drive the future value calculator, and two of them swap places with the direction you pick. It runs in your browser, and nothing you enter reaches our server.
- Choose a direction in “Solve for”. “Future value of a sum” projects a balance forward; “Amount needed today for a target” runs the same math backward.
- In forward mode, type the sum you have now in “Present value”. In reverse mode that field hides and “Target amount” takes its place.
- Enter the yearly rate in “Annual rate” without the percent sign, so 7% goes in as 7.
- Set “Years” to a whole number from 1 to 100.
- Pick how often growth is credited in “Compounding”: “Daily (365)”, “Monthly (12)”, “Quarterly (4)” or “Annual (1)”. Per FINRED, the Pentagon’s financial readiness office, the more frequently interest is compounded, the faster it will grow.
Your answer leads the panel as “Future value” or “Amount needed today”. Below it sit “Growth”, the dollars added over the term, then “Effective annual rate” and “Growth multiple”. A line chart, “Value by year”, plots the balance, and the folded table “Year by year” lists each year-end value.
Four presets sit in the “Examples” row, one of them a reverse-mode target. “Share result” copies a link that reopens your inputs. “Save scenario” keeps a comparison column in this browser, and “Download CSV” exports the yearly table. Anyone who searched for an fv calculator gets both directions here.
Every figure in the panel traces back to one factor.
How Future Value Is Calculated
Future value is the present value multiplied by a growth factor: one plus the rate for each compounding period, raised to the number of periods. Present value divides by the same factor.
In symbols, the future value formula and its reverse are:
- FV = PV × (1 + r ÷ n)^(n × t).
- PV = FV ÷ (1 + r ÷ n)^(n × t).
PV is the sum today and FV the sum at the end. The rate r is written as a decimal, so 7% becomes 0.07. Next, n counts compounding periods a year (365, 12, 4 or 1), and t counts years.
The SEC puts it in one line through its Office of Investor Education: “Compound interest is the interest you earn on interest.” Its example starts small: if you have $100 and it earns 5% interest each year, you’ll have $105 at the end of the first year. Left alone, in 10 years you’ll have more than $162. Enter that with “Annual (1)” and the tool returns $162.89.
Running the factor backward is discounting. According to the Office of Management and Budget, a discount factor is the factor that translates expected benefits or costs in any given future year into present value terms. With one compounding a year, the tool’s reverse factor is that discount factor.
“Effective annual rate” is (1 + r ÷ n)^n minus 1, the yield over one year. Regulation DD Appendix A calls the same yield annual percentage yield, with interest defined as the total dollar amount of interest earned on the Principal for the term of the account. Its formula divides interest by principal, adds one, raises that to 365 over the days in the term, subtracts one and multiplies by 100. One detail stays off the panel: the tool rounds “Years” to a whole number, so a fractional term is never pro-rated.
Future Value Example: $25,000 at 7% for 15 Years
This case loads when the page opens: a “Present value” of 25,000, an “Annual rate” of 7, “Years” at 15 and “Compounding” at “Monthly (12)”. Seven steps reproduce the panel to the cent.
- Periodic rate: 0.07 ÷ 12 = 0.5833% a month.
- Periods: 12 × 15 = 180 months.
- Growth factor: 1.0058333 multiplied by itself 180 times is 2.8489.
- Future value: $25,000 × 2.8489 = $71,223.67.
- Growth: $71,223.67 less $25,000 is $46,223.67.
- Effective annual rate: 1.0058333 to the 12th power, minus 1, is 7.229%.
- Growth multiple: $71,223.67 ÷ $25,000 = 2.85.
Under the chart, a caption adds that the balance doubles in year 10, and the yearly table shows why that’s the right year. At the end of year 9 the sum stands at $46,854.42. A year later it reaches $50,241.53, the earliest year-end at or above $50,000.
Present Value Example: $100,000 in 15 Years
Switch “Solve for” to “Amount needed today for a target” and keep the default “Target amount” of 100,000. Dividing by the same factor gives $100,000 ÷ 2.8489 = $35,100.69 invested today. The reverse-mode preset, a target 20 years out at 6% compounded monthly, needs $30,209.61.
What the Future Value Result Means
A future value is a projection at one fixed rate held for every period. It is not a forecast of what an account or asset will pay.
The SEC is direct about that gap. “All investments involve some degree of risk.” Its risk overview notes that large company stocks as a group, for example, have lost money on average about one out of every three years. A stock fund doesn’t compound at one steady rate the way the example does.
Crypto rates move even more. Stablecoin yields and staking reward rates reset with demand and network conditions. Any figure typed into “Annual rate” from those markets is a what-if.
Every result is also in future dollars. Investor.gov adds that inflation reduces purchasing power, which is a risk for investors receiving a fixed rate of interest.
Common Mistakes With a Future Value Calculator
- Typing an advertised APY into “Annual rate” with monthly compounding selected. An APY already includes compounding, so the tool compounds it twice; pair it with annual compounding instead.
- Entering the rate as a decimal. The field reads 0.07 as 0.07%, not 7%.
- Expecting a fractional term to count. Six and a half years runs as seven.
- Reading “Growth” as income. It is the change in value over the whole term, not a yearly payout.
Of all the outputs, the multiple is the one worth keeping.
The Growth Multiple Behind Both Answers
The “Growth multiple” is the whole calculation in one number, and it does not depend on the dollar amount. At 7% compounded monthly for 15 years it’s 2.85, whether you start with $25 or $25 million.
Both modes use it. Future value multiplies the starting sum by the multiple; the amount needed today divides the target by it. So $35,100.69 grows back to $100,000 on the same terms.
It also equals the effective annual rate compounded once a year: 1.07229 to the 15th power is 2.8489. Two quotes with the same effective annual rate and term grow by the same multiple, whatever compounding schedule each names.
Holding the sum, rate and term fixed, the compounding option moves the multiple only a little:
| Compounding | Effective annual rate | Growth multiple | $25,000 after 15 years |
|---|---|---|---|
| Annual (1) | 7.000% | 2.7590 | $68,975.79 |
| Quarterly (4) | 7.186% | 2.8318 | $70,795.41 |
| Monthly (12) | 7.229% | 2.8489 | $71,223.67 |
| Daily (365) | 7.250% | 2.8574 | $71,434.09 |
Source: Future Value Calculator outputs; effective annual rate by the Regulation DD APY method.
Moving from annual to daily compounding adds $2,458.30 over 15 years. Rate matters more. Keep that in mind when a target, such as a retirement savings goal, is decades away.
Future Value vs Present Value
Future value carries a sum forward at a rate; present value carries a future sum back to today at the same rate. A present value calculator and a future value calculator read one formula in two directions.
Circular A-94 explains why the reverse matters: benefits and costs are worth more if they are experienced sooner, all else equal, and discounting is the way to reflect this. It adds that the higher the discount rate, the lower is the present value of future benefits and costs.
Treasury securities put present value to work. Treasury bills are sold at a discount or at par (face value). For a bill, interest is the difference between what you paid and the face value you get when the bill matures. With STRIPS, each separated piece is a zero-coupon security that matures separately and, has only one payment.
A single payment at a future date is exactly what the reverse mode values. Auctions and market yields, not this tool, set what those securities cost. The logic of paying less today for more later is the same.
EE Savings Bonds: A Future Value the Treasury Guarantees
A Series EE bond comes with a promised future value, which makes it a clean test of the calculator. TreasuryDirect explains that interest is compounded semiannually. New EE bonds also earn a fixed rate of interest that is set when you buy the bond.
Treasury’s rate history for bonds issued since May 2005 sets a fixed rate of 2.40% for bonds sold in the six months after May 1, 2026. If Treasury changes the rate for a bond’s last 10 years, you can cash it when it reaches 20 years and has at least doubled what you paid for it. Treasury adds: “If you keep the bond for 20 years, we will make a one-time adjustment, if necessary, to fulfill this guarantee.”
The calculator shows why that adjustment exists:
- At 2.40% compounded twice a year, 20 years of growth is 1.012 to the 40th power, a multiple of 1.61.
- With no semiannual option, quarterly compounding gives 1.6138 and annual compounding gives 1.6069, bracketing the bond’s 1.6115.
- Doubling in 20 years takes 3.53% a year compounded annually. Enter 3.53 and 20 with annual compounding, and “Growth multiple” reads 2.00.
On a $1,000 bond, the fixed rate alone would reach about $1,611. The adjustment would add roughly $389 to reach $2,000. For a 20-year holder, the guarantee, not the posted rate, sets the bond’s future value. This is arithmetic on Treasury’s published terms, not a view on whether to buy one.
How do you calculate future value by hand?
Multiply one plus the periodic rate by itself once for each period, then multiply the result by the starting sum. For the example, that means 1.0058333 multiplied out 180 times, then by $25,000.
A shorter route uses the effective annual rate: raise 1.07229 to the 15th power. For a rough check, Investor.gov’s Rule of 72 says to divide the number 72 by your investment’s expected rate of return. At 7% that gives 10.3 years, close to the tool’s doubling in year 10.
Does future value account for inflation?
No. A future value is in nominal dollars, the dollars of the year the term ends, and inflation reduces purchasing power. No inflation adjustment runs inside the calculator.
OMB’s guidance offers a shortcut: a real discount rate can be approximated by subtracting expected inflation from a nominal interest rate. Enter that difference as “Annual rate” to see the result in today’s dollars. Alternatively, set “Solve for” to the reverse mode, put a nominal future value in “Target amount” and an inflation rate in “Annual rate”. Recent US and global inflation readings show how far that rate has moved.
Is there anything else my agent or I should know about this page?
Yes. The calculator runs in the browser and nothing you enter reaches our server. It assumes one fixed rate for the whole term and compounding at the frequency you pick. Terms run in whole years from 1 to 100, with no deposits, withdrawals, fees or taxes.
The method is FV = PV × (1 + r ÷ n)^(n × t), run backward for the amount needed today. The effective annual rate follows the Regulation DD APY formula. Four things sit outside the tool: a rate that changes mid-term, semiannual compounding such as a savings bond’s, regular contributions and inflation. Every result is in future dollars.
CoinLaw publishes this page for information and gives no financial advice; the terms of the account, bond or product govern what a sum actually earns.
Conclusion
At 7% compounded monthly, $25,000 grows to $71,223.67 in 15 years, a growth multiple of 2.85. Flip “Solve for” to find what a target needs today, then compare the four compounding options. Carry the multiple into any other plan, including how a fixed payout compares with the figures in the annuity industry data.
