🔭 Future Value Calculator

Project what today's money will be worth later. Enter principal, rate, compounding, and years — or switch to regular contributions — to calculate forward future value before you invest.

Future Value of Lump Sum and Annuities

BrainyCalculators editorial insight — unique to this tool

FV = PV × (1 + r)^n for lump sums; ordinary annuity FV adds periodic payments. A $50,000 bonus invested at 7% for 20 years grows to ~$193,000 without additional contributions. Indian PPF uses government-set rates compounded annually — different from market-linked assumptions.

When to use this calculator

Use for goal-based projection of today's money forward. For regular mutual fund SIPs, use SIP.

Measuring return from known start and end values?

This page projects future value from principal and rate. To calculate CAGR, total return, or inflation-adjusted performance from initial and final balances, use the Investment Return Calculator →

Principal ($)

Annual Rate (%)

Time (years)

Compounding

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Future Value

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Total Contributions

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Interest Earned

Year-by-Year Growth

Year	Balance	Contributed	Interest

What is Future Value (Forward Projection)?

Future value (FV) answers a forward-looking question: if I invest this amount today at this rate, what will it be worth in N years? The formula discounts time and compounding into a single projected balance — essential for retirement targets, education funds, and savings goals where you know the starting point and need the endpoint.

This calculator supports two modes: a lump-sum deposit with selectable compounding frequency, and a stream of regular contributions (annuity). It shows future balance, total contributions, and interest earned over the horizon. Use it when you are planning ahead from known inputs.

If you already know your starting and ending balances and want to measure how well the investment performed — total return, CAGR, or inflation-adjusted real return — use the Investment Return Calculator instead. FV projects forward; investment return analyses backward from results.

Future Value Formulas

Lump Sum

FV = P × (1 + r/n)^(n×t)

Annuity (Regular Contributions)

FV = PMT × ((1 + r/n)^(n×t) − 1) / (r/n)

P = Principal r = Annual rate n = Periods/year t = Years

Real-World Example

$5,000 at 8% per year, monthly compounding, for 10 years:

n = 12, t = 10, r = 0.08

FV = 5,000 × (1 + 0.08/12)^(12×10)

Future Value = $11,098

Interest Earned = $6,098

How the Future Value Calculator Works

Formula, assumptions, and calculation steps for this finance tool.

Methodology

Financial calculators use time-value-of-money, rate conversion, amortization, or return formulas depending on the tool. Inputs are normalized to matching periods before the final result is calculated.

Calculation Steps

Enter the principal amounts, rates, terms, or cash flows requested by the calculator.
Convert annual rates to the correct monthly, daily, or yearly period when needed.
Apply the finance formula for payment, return, yield, or future value.
Show the result with supporting totals such as interest, gain, or balance.

Assumptions and Limits

Rates are assumed constant unless the calculator asks for a schedule.
Taxes, fees, and inflation are included only when fields are provided.
Financial results are estimates for planning, not investment or lending advice.

Frequently Asked Questions

What is future value?

Future value (FV) is the value of a current asset at a specified date in the future, based on an assumed rate of growth. It answers: If I invest $X today at Y% return, how much will it be worth in Z years?

How does compounding frequency affect future value?

More frequent compounding means interest is calculated and added to the principal more often, which leads to slightly higher future values. Monthly compounding yields more than quarterly, which yields more than annual. The difference grows larger with higher interest rates and longer time horizons.

What is the Rule of 72?

The Rule of 72 is a shortcut to estimate how long it takes to double your money. Divide 72 by the annual interest rate. For example, at 8% per year your money doubles in about 72 ÷ 8 = 9 years.

What is the difference between FV and PV?

Future Value (FV) tells you what a current sum will be worth later, while Present Value (PV) tells you what a future sum is worth today after discounting. They are the inverse of each other and use the same core formula rearranged.

Real-World Applications

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Savings Account Growth

Project how a $10,000 HYSA balance grows at 4.5% APY over 5 years with or without regular monthly deposits.

📈

Retirement Portfolio Projection

Estimate the future value of 401(k) or IRA contributions at a given annual return to set retirement savings targets.

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Investment Property Appreciation

Project a property's future value using historical appreciation rates to evaluate long-term real estate investment returns.

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College Savings (529 Plan)

Calculate how regular monthly 529 contributions will grow to fund a child's college costs at their expected enrolment date.

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Goal-Based Saving

Determine how much to save each month to reach a specific future value — a down payment, business capital, or travel fund.

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Bond Maturity Value

Calculate the maturity value of a bond or fixed-income investment at a given coupon rate and term to maturity.

Common Mistakes

Using nominal rates without adjusting for inflation

A 7% investment return with 3% inflation yields only 4% real return. Future Value calculations using nominal rates overstate the real purchasing power of the future sum.

Confusing APR and APY

APR (Annual Percentage Rate) is the nominal rate; APY (Annual Percentage Yield) already incorporates compounding frequency. Using APR in an annual compounding formula underestimates growth.

Ignoring taxes on investment returns

Returns in taxable accounts are subject to capital gains tax — the after-tax return is significantly lower than the pre-tax figure used in standard FV calculations.

Assuming consistent returns in volatile investments

FV calculations assume a constant return rate — actual returns vary year to year. Sequence-of-returns risk means the order of returns also affects the final outcome.

Mismatching the period with the compounding frequency

If the rate is annual but compounding is monthly, the rate per period must be r/12 and periods must be n×12 — using annual rate with monthly periods produces wildly incorrect results.

Effect of Compounding Frequency on $10,000 at 8% for 10 Years

Compounding	Future Value	Effective Annual Rate
Annual	$21,589	8.000%
Semi-annual	$21,911	8.160%
Quarterly	$22,080	8.243%
Monthly	$22,196	8.300%
Daily	$22,253	8.328%
Continuous	$22,255	8.329%

References

Brealey, Richard A., Myers, Stewart C., and Allen, Franklin. Principles of Corporate Finance. McGraw-Hill, 2022.
Ross, Stephen A., Westerfield, Randolph W., and Jordan, Bradford D. Fundamentals of Corporate Finance. McGraw-Hill, 2021.
Brigham, Eugene F. and Houston, Joel F. Fundamentals of Financial Management. Cengage, 2019.
Damodaran, Aswath. Investment Valuation. Wiley, 2012.
CFA Institute. CFA Program Curriculum — Quantitative Methods. CFA Institute, 2024.