Future Value Calculator — Project Investment Growth With Compound Interest

How to Use This Future Value Calculator

This free future value calculator projects how a lump sum grows over time, and what happens when you add regular contributions along the way. Enter the present value, expected annual return, holding period, and any recurring contributions, and the calculator shows the future value, total interest earned, inflation-adjusted real value, effective annual rate, and a year-by-year growth path. Pair it with our CAGR Calculator to understand what the annualized growth rate of a completed investment looks like, or use the SIP Calculator when your contributions follow a systematic investment plan.

What Does a Future Value Calculator Calculate?

A future value calculator — also called an FV calculator or compound interest calculator — converts a present amount, an expected rate, and a holding period into the projected value of the investment. It's the same math used to project retirement balances, calculate savings goal targets, and compare different investment strategies.

Key future value calculations

• Future Value (FV): The projected value of the investment at the end of the period.
• Total Interest Earned: FV minus the sum of all contributions.
• Real Value: The inflation-adjusted value of the future amount in today's dollars.
• Effective Annual Rate (EAR): The equivalent rate as if interest were compounded annually once.
• Growth Multiple: FV divided by total money invested.
• Interest Share: The percentage of FV that comes from interest rather than contributions.
• Doubling Time: Approximate time for the money to double using the Rule of 72.

Who can use this future value calculator?

• Retirement Planners: Project 401(k) or IRA balances at different contribution rates.
• Parents: Estimate future college savings needs with compounding.
• Long-Term Investors: Model the growth of a lump sum over a 20–30 year horizon.
• Goal-Based Savers: Back into a target savings rate to hit a specific future amount.
• Students and Educators: Understand compounding through a transparent numeric example.

Future Value Calculator Methodology

MoneyTool uses the standard time-value-of-money formulas taught in finance and used by banks, brokerages, and retirement-planning tools.

1. Future value of a lump sum

Standard discrete compounding:

FV = PV × (1 + r/n)^{n × t}

Continuous compounding (the theoretical limit as n → ∞):

FV = PV × e^{r × t}

Where PV is present value, r is the annual rate (decimal), n is periods per year, and t is years.

2. Future value of recurring contributions (ordinary annuity)

Contributions are treated as end-of-period deposits using the future value of annuity formula:

FVA = PMT × [((1 + i)^k − 1) / i]

Where PMT is the contribution amount, i is the periodic rate matching the contribution frequency, and k is the total number of contribution periods. The two components (lump sum and contributions) are summed for total FV.

Note: The contribution rate uses the contribution frequency, independent of the compounding frequency of the lump sum, so contributions always compound at the rate the user actually deposits at.

3. Effective annual rate (EAR)

EAR = (1 + r/n)ⁿ − 1 (discrete) or e^r − 1 (continuous).

4. Inflation-adjusted real value

Real Value = FV ÷ (1 + inflation)^t

5. Growth context

Growth Multiple = FV ÷ (PV + Total Contributions)

Interest Share = Interest Earned ÷ FV × 100

Important assumptions

• Returns are constant over the period — real investments fluctuate.
• Contributions are level (no step-up contributions are modeled here).
• Contributions are end-of-period deposits (ordinary annuity).
• Taxes, expense ratios, transaction fees, and dividends are not separately modeled.
• Inflation is constant over the period.
• This is an educational estimate, not investment advice.

Future Value Information, Sources & Editorial Review

MoneyTool separates calculation results from financial education and personalized investment advice. The calculator uses documented time-value-of-money formulas, while external investment guidance should be verified with authoritative sources.

Author and editorial responsibility

Authoritative U.S. investment resources

• U.S. Securities and Exchange Commission (SEC) — Investor.gov: SEC Investor.gov provides investor education on compounding, performance, and risk.
• SEC — Compound Interest Calculator: SEC Compound Interest Calculator is the regulator's own tool for illustrating compounding.
• SEC — Saving and Investing Roadmap: SEC Investor Basics covers the fundamentals of saving, investing, and long-term planning.
• Financial Industry Regulatory Authority (FINRA): FINRA Investor Education covers fees, performance measurement, and how to evaluate products.
• Consumer Financial Protection Bureau (CFPB): CFPB Consumer Tools provides consumer-facing financial guidance that pairs with investment education.
• Internal Revenue Service (IRS): IRS Topic 409 — Capital Gains and Losses covers capital gains treatment that affects after-tax returns.
• IRS — Retirement Plans: IRS Retirement Plans covers contribution limits and rules for 401(k)s, IRAs, and other retirement accounts.
• U.S. Bureau of Labor Statistics (BLS) — CPI Inflation Data: BLS Consumer Price Index is the official source for US inflation data used in real-return analysis.

External resources are provided for education and verification. MoneyTool is not affiliated with or endorsed by the SEC, FINRA, CFPB, IRS, BLS, or any government agency linked from this page.

Tips for Future Value Planning

Compounding is a powerful but slow force. Small changes in rate, contribution, or time produce very large differences over decades.

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