Future Value Calculator
Free to use, with no sign up. Your entries stay in this browser; calculations run on your device.
Result
A = P(1 + r/n)^(nt) + Σ C(1 + r/n)^[n(t − tₖ)]; APY = 100[(1 + r/n)^n − 1]. P = principal, r = annual rate / 100, n = periods/year, C = each contribution, tₖ = its deposit time in years.
OpenStax Contemporary Mathematics: compound interest explains the principal formula. Contributions sum the same growth formula from each deposit time. Modeled APY assumes a constant nominal rate and equal compounding periods over one year. US Truth in Savings Act / Regulation DD, Appendix A: APY = 100[(1 + interest/principal)^(365/days) − 1]; the expression above is its one-year, fixed-rate specialization. Actual account disclosures can use different day counts and account terms.
Worked example: $1,000 at 5% compounded monthly for 2 years gives future value $1,104.94, with $104.94 interest. A $2,000 present value at 10% compounded annually for 2 years gives $2,000 × 1.1² = $2,420 without contributions.
This is fixed-rate arithmetic. Amounts are USD; fees, withdrawals, changing returns, inflation and taxes are excluded. Money inputs accept up to two decimal places. Results round to cents without rounding intermediate interest. Monthly periods are 1/12 year and yearly periods are 1 year. Only complete contribution periods count: deposits occur at their start or end; a fractional tail earns modeled interest but has no partial deposit. Fractional compounding uses exponential interpolation. Zero years means no deposits or interest. The table includes every full year and any final fractional year.
Arithmetic only; not financial advice.
Underlying engine: Compound Interest Calculator. Related calculators: Investment Calculator, CD Calculator, Simple Interest Calculator.
How to use this tool
Enter present value in USD, fixed nominal annual rate and term in years. Choose compounding periods; optional recurring contributions start at zero. Select Calculate for future value.
Frequently asked questions
What is future value here?
The modeled balance after an entered term at a constant nominal interest rate. Optional deposits grow from their selected start or end deposit times.
Can I include recurring payments?
Yes. Enter a monthly or yearly contribution and start or end timing. Only complete contribution periods count; a fractional tail has no partial deposit.
Does this forecast investment returns?
No. It evaluates your entered fixed rate. Changing returns, withdrawals, fees, inflation and taxes are excluded.