Compound Interest Calculator
See how your money grows when interest is earned on both the original amount and the accumulated interest. Add regular contributions and change the compounding frequency to compare scenarios — with a year-by-year growth chart.
Written by the CalcBundle Research & Editorial Team · Reviewed by the Quality Review Team · Transparent formulas · results are estimates, not advice. · Updated
Estimated future value
Enter an initial amount or contribution, and a period greater than zero.
Quick Answer
How does compound interest work?
Compound interest is interest earned on both the original principal and previously accumulated interest. The formula is A = P(1 + r/n)^(nt), where P is principal, r is annual rate, n is compounding periods per year, and t is years. Daily compounding grows faster than annual because interest is reinvested more frequently. For example, $10,000 at 7% annual interest compounded annually for 20 years grows to $38,697. Compounded monthly, the same inputs produce $40,065 — a $1,368 difference from compounding frequency alone. Adding $200 per month in contributions pushes the 20-year balance above $110,000, illustrating how regular additions amplify compounding. The longer the time horizon, the larger the gap between principal contributed and final balance — which is why starting earlier matters more than almost any other variable. This calculator shows year-by-year growth and the split between your contributions and accumulated interest.
What a compound interest calculator does
A compound interest calculator turns an abstract idea — that money earns money on the money it has already earned — into a concrete year-by-year picture. You enter a starting amount, an interest rate, how often interest is added, how long you leave it, and optionally a regular contribution; the calculator projects the balance forward and shows how much of the final figure is your own money and how much is accumulated interest. That split is the whole point. Early on, most of your balance is money you put in. Given enough time, the interest can quietly overtake the contributions, and the growth curve bends upward in a way that a single “final number” never conveys.
How compounding works
- Future value = P × (1 + r/n)n×t
- P = initial principal, r = annual rate, n = compounding periods per year, t = years
- With recurring contributions, each deposit compounds for the remaining time using the annuity principle.
The mechanism is simple but its consequences are not. Each period, interest is added to the balance; the next period, that slightly larger balance earns interest too. Repeated across decades, this feedback loop is what makes the curve accelerate. Two levers dominate: the rate and, above all, the number of years. Compounding frequency — daily versus monthly versus annually — matters far less than most people assume, usually adding a fraction of a percent to the outcome.
Simple vs compound interest
Simple interest pays only on the original principal, so $10,000 at 5% earns a flat $500 every year — $5,000 over a decade, no more. Compound interest pays on the growing balance, so the same deposit reaches about $16,289 after 10 years of annual compounding: roughly $1,289 more than simple interest over the same period. Stretch the horizon to 30 years and the gap widens dramatically, because the compounding advantage itself compounds. This is why long-term savers and long-term borrowers alike should always reason in compound, not simple, terms.
Why regular contributions matter
The starting principal gets the attention, but for most people regular contributions do the heavy lifting. Every deposit you add becomes its own little engine, compounding for whatever time remains. A steady monthly contribution over many years typically dwarfs the growth on the initial lump, and it has the added virtue of being within your control — you cannot dial up market returns, but you can decide to invest consistently. The calculator lets you see the balance with and without contributions so the difference is unmistakable.
Worked example
Put $10,000 to work at 5% compounded annually for 10 years and it grows to about $16,288.95 — that is $6,288.95 of pure interest on money you never touched. Switch to monthly compounding and it edges up to roughly $16,470, a modest bump that shows how small the frequency effect really is. Now add $200 a month on top: the ending balance climbs far higher, because each of those 120 deposits compounds for the rest of the term. Seeing those scenarios side by side is the clearest possible argument for starting early and contributing regularly.
Related calculators
Compounding underlies almost every long-term money question. Project a single deposit with the lump sum investment calculator, model steady paycheck investing with the SIP calculator, translate a target into a plan with the retirement calculator, and check how much of your projected growth survives rising prices with the inflation calculator.
Frequently asked questions
What is compound interest?
Compound interest is interest earned on both your original amount and the interest already accumulated. Over time this compounding accelerates growth compared with simple interest, which is paid only on the original principal.
How does compounding frequency affect growth?
The more often interest compounds — daily rather than annually, for example — the more you earn, because interest starts earning interest sooner. The effect is real but usually smaller than the effect of the rate itself or of adding regular contributions.
How do regular contributions change the result?
Adding a fixed amount each month or year can dramatically increase the final value, because every contribution then compounds for the rest of the period. This calculator shows the value with and without contributions side by side.
Is the projected amount guaranteed?
No. The result is a projection based on the interest rate and contributions you enter. A fixed savings rate is fairly predictable, but investment returns vary from year to year, so a steady-rate projection shows the smooth average path rather than the bumpy reality. Treat it as a planning estimate.
What is the rule of 72?
The rule of 72 is a quick mental shortcut: divide 72 by your annual rate to estimate the years it takes money to double. At 6% that is about 12 years; at 8%, about 9. It is only an approximation, but it captures the essence of compounding — higher rates and more time both shorten the doubling period dramatically.
Does inflation affect these results?
Yes. The future value is in future dollars, which buy less than today's. If you want to know the real growth in purchasing power, use a rate net of inflation, or run the result through an inflation calculator. Nominal growth can look impressive while real growth is modest.
Why start investing early even with small amounts?
Because time is the most powerful input in compounding. A modest amount invested in your twenties can outgrow a much larger amount invested in your forties, since the early money compounds for extra decades. The chart makes this vivid: the curve is nearly flat at first and then rises steeply, and the steep part only arrives if you started.
Related calculators
Investment Return
Work out total return, gain and annualized return on an investment.
CAGR
Compute compound annual growth rate, or solve for value or years.
SIP
Estimate the future value of regular monthly investments, with step-up.
Lump Sum Investment
Estimate the future value of a one-time investment over time.
Retirement
Estimate retirement savings, the corpus needed and any shortfall.
Sources & methodology
- Formula
- A = P(1 + r/n)^(nt) where P = principal, r = annual rate, n = compounding periods per year, t = years; with regular contributions: FV = PMT × [((1 + r/n)^(nt) − 1) ÷ (r/n)]
- Reviewed
- September 2026
Primary sources
- CFA Institute – Time Value of MoneyCFA curriculum derivation of the compound interest formula and future value of annuity formula used in this calculator.
- Investopedia – Compound Interest FormulaPlain-English explanation of compound interest mechanics, compounding frequency, and the difference between APR and APY.
- SEC – Compound Interest Calculator GuidanceSEC Investor Education guidance on compound interest and its role in long-term investment growth.
Calculation methodology is documented on our methodology page. Reviewed by the CalcBundle Quality Review Team.
Disclaimer. This calculator provides estimates for informational purposes only. Results are based on the information you enter and the assumptions used by the calculator. Actual financial, tax, business valuation, lending, marketplace or investment outcomes may differ. Consider consulting a qualified professional for decisions involving significant amounts of money. Results are projections based on the interest rate and contribution assumptions entered. Actual returns may differ.