Free Calculator Updated May 2026 Educational Only

Compound Interest Calculator

Enter your starting amount, contributions, rate and timeframe. See the projection, growth chart and year by year table instantly. Free, no signup.

Quick Answer

How much will my investment grow with compound interest?

Compound growth is calculated as A equals P multiplied by (1 + r/n) raised to the power of nt. P is the starting amount, r is the annual return, n is the number of compounding periods each year and t is the number of years. At 7% annual growth, $10,000 becomes about $19,672 after ten years and $38,697 after twenty. The free StockEducation Compound Interest Calculator also includes regular contributions and separates your deposits from estimated growth each year. It leaves out taxes, fees and uneven market returns, so the result is an illustration rather than a forecast.

Reviewed by Charles Lo — Academic Reviewer Last reviewed
💰Starting + Contributions 📈Year by Year Chart 📊Annual Breakdown Instant Recalculation
Dr. Charles Lo
Dr. Charles Lo, CPA, PhD Part-Time Educator at the University of Sydney · Formerly at Charles Sturt University · Now at Wentworth Institute 🔗 LinkedIn
Formula shown FV = P(1+r/n)^(nt)
Free, educational Not financial advice
↓ COMPOUND INTEREST CALCULATOR ↓
↓ Compound Interest Calculator ↓

Your investment details

Fill in the assumptions below. The calculator updates the projection, chart and year-by-year table.

Projected Value After Years
$—
Contributions: — · Interest: —
Balance Growth Over Time
Total BalanceCumulative ContributionsCumulative Interest
Projection Summary
MetricValueNotes
Starting Amount$—Initial principal
Annual RateAPR before compounding
CompoundingFrequency
YearsGrowth period
Total Contributions$—Total added over time
Total Interest$—Growth from compounding
Final Value$—Projected ending balance
Annual Breakdown
YearStart BalanceContributionsInterest EarnedEnd Balance

Important calculator disclosure

General education only — check the assumptions before using the result.

Purpose: This calculator is a general educational tool that performs a numerical calculation from the values you enter. It does not recommend, advertise or promote a specific financial product.

Assumptions: The calculation uses the input values and assumptions displayed in the calculator. Default values are illustrative starting points, not forecasts. Change each non-statutory assumption so it matches the scenario you want to test.

Limitations: Actual market returns, prices, dividends, interest rates, fees, tax, inflation and timing may differ from the assumptions. The calculator may omit factors relevant to you. Small input changes can materially change the result, so the output is an illustration rather than a prediction.

This financial calculator is not intended to be relied on for the purposes of making a decision in relation to a financial product. You should consider obtaining advice from a financial services licensee before making any financial decisions.

You can print this page or save it electronically using your browser controls. See ASIC Instrument 2026/41 for the conditions applying to generic financial calculators.

Educational projection only. Results assume a constant return and do not include taxes, fees, inflation or market volatility.

$10,000 invested at 7% annual interest with $200 added monthly grows to roughly $137,000 after 20 years using yearly compounding. Compound interest is interest earned on both your original deposit and the interest already added to it. The longer the time horizon, the more the balance grows from interest on interest rather than from the original deposit.

📐 Learn the math See the formula and assumptions 📊 See worked examples Verified scenarios with real numbers 🏖️ Retirement Calculator See what this balance funds in retirement

How to use the compound interest calculator

Project growth from starting balance, rate and contributions in three steps.

1

Enter your starting amount and rate

Use what you actually have, not what you wish you had. Pick a defensible return rate (most beginners use 5% to 7% real for diversified equity).

2

Set your time horizon and contributions

Years to grow is the most important input after rate. Add a realistic monthly or yearly contribution you can sustain through downturns.

3

Read the projection, chart and annual breakdown

The result shows Projected Value, a Balance Growth Over Time chart, a Projection Summary, and a full Annual Breakdown table. The headline number is one data point — the year-by-year table is where the lesson is: most growth happens in the last 5 to 10 years, which is the case for staying invested through the early flat period.

Walkthrough chapters

A four-stage written walkthrough — the chapters a video would cover, available now in text.

How to use the Compound Interest Calculator

Four chapters covering inputs, outputs and the common mistakes to avoid.

0:00 Tour of the inputs 1:20 Reading the chart 2:45 Common mistakes 3:30 Comparing scenarios

4 min watch. Auto captions available. Walkthrough chapters listed above.

Why use this compound interest calculator

Specific outcomes, not generic claims.

See the cost of waiting

Compare starting at 25 versus 35 with the same monthly contribution. The 10 year head start usually more than doubles the final balance.

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Plan with realistic returns

Test the same plan at 5%, 7% and 9% to see how sensitive your projection is to small rate changes. Stress test before you commit.

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Skip the spreadsheet build

Get a clear projection, growth chart and year by year breakdown in seconds. No formula errors, no manual rebuilds when assumptions change.

The math behind the projection

Most calculators hide the formula. We show it because understanding the math is the point.

📐 Formula

The standard compound interest formula, written out with plain English variable names.

FV = P (1 + r/n)nt + PMT × [(1 + r/n)nt − 1] / (r/n)
FV future value (the projected balance) · P starting principal · r annual rate as a decimal (7% = 0.07) · n compounding periods per year · t number of years · PMT regular contribution per period
The first half compounds your starting principal. The second half compounds each regular contribution from the point it is added. Together they project the total balance at year t.

What this calculator assumes vs reality

The projection is a mathematical model, not a forecast. Six assumptions baked into the math, plus what real outcomes look like.

⚠️ Six assumptions to know about

Each card pairs an assumption the calculator makes with what real world investing actually looks like.

Constant rate

Reality: S&P 500 annual returns ranged from roughly negative 37% to positive 37% between 1928 and 2024[1]. The average year is rare.

No fees

Reality: A 1% annual fee compounds to roughly 18 to 19% lower balance over 30 years[2]. Fees compound too.

No tax

Reality: Capital gains tax applies on disposals. Australia gives individuals a 50% CGT discount after 12 months[3].

No inflation

Reality: The projection is in nominal dollars. Real growth has historically been roughly 3 points slower per year[4].

Contributions always made

Reality: Most investors miss contributions during downturns, which is exactly when continuing matters most.

No withdrawals

Reality: Life happens. Emergencies, house deposits, kids. The smooth curve assumes you never take money out.

Net effect on long run outcomes: A calculator projection of $1,000,000 might in practice deliver $600,000 to $750,000 in real after fee, after tax purchasing power. The projection is not wrong. It shows the pure mathematics of compounding. But it is an upper bound on what you will actually live to enjoy.

How small input changes shift the result

Same base scenario, one variable changed at a time. The projection is highly sensitive to small changes.

Scenario Rate Years Final value vs base
Pessimistic rate5%20$105,891-23%
Base case7%20$137,086Base
Optimistic rate9%20$178,828+30%
5 fewer years7%15$87,900-36%
10 more years7%30$302,828+121%
Double contribution ($400/mo)7%20$235,475+72%
The pattern: Time compounds harder than rate. Adding 10 years to your horizon changes the outcome more than a 2 percentage point rate change. This is why start early matters more than pick the perfect investment. All values computed using the same compound interest formula above, with yearly compounding, no fees and no tax.

Calculator projection vs actual S&P 500 history

The calculator assumes a smooth return every year. Here is how that compares to verified historical data.

Source Average annual return Outcome
Smooth 7% projection (yearly compounding)7.0% every year$302,828 after 30 years
S&P 500 nominal CAGR 1928 to 2024[1]~10.2% per year (dividends reinvested)Substantially higher in nominal terms
S&P 500 real (inflation adjusted) CAGR~7.0% per year (purchasing power)Roughly matches the smooth 7% projection
The key insight: Of 97 years between 1928 and 2024, only a handful of individual years actually delivered S&P 500 returns inside the typical 8% to 12% average range. The other years were either materially higher or materially lower. The smooth projection is a useful long run mathematical average. The sequence you actually live through will be far noisier, which is the single biggest reason real outcomes diverge from calculator projections.

Compound interest, everything you need to know

Written by Dr. Charles Lo, Associate Professor, CPA. Reviewed annually.

Compound interest is what happens when investment returns are reinvested, so future returns are earned on those returns as well as on the original amount. The longer the timeframe, the more growth comes from interest on interest rather than from the original deposit. This is the single most important concept in long term investing.

The mechanism is the formula shown above. A $10,000 investment earning 7% per year becomes $10,700 after one year. In year two you earn 7% on $10,700, gaining $749 instead of $700. The difference looks small in year two. Over 30 years it dominates the entire return.

Compound growth is not linear. A $10,000 lump sum at 7% becomes roughly $19,700 after 10 years, $38,700 after 20 years, and $76,100 after 30 years. Time, not rate, is the dominant variable, which is why every investing textbook begins with the cost of waiting one, two or five years before starting.

How to set your assumed return rate

Long run S&P 500 returns have averaged roughly 10.2% nominal and 7.0% real since 1928. For planning, 5 to 7% real is conservative, 8 to 10% nominal is optimistic but defensible, and above 10% nominal needs a strong reason.

For bonds and cash, expect 1 to 3% real. For balanced portfolios, 4 to 6% real. Use the lower end if you want a margin of safety.

Common mistakes

  • Using nominal returns when planning real outcomes. 10% nominal is roughly 7% after inflation.
  • Forgetting fees and tax drag. A 1% fee plus capital gains tax can compound to a 25 to 30% reduction in your real final balance over 30 years.
  • Assuming a constant rate. Use the sensitivity table to check how robust your plan is to variation.
  • Mistaking the projection for a forecast. Calculator output is a projection under specific assumptions, not a prediction.
  • Anchoring on the optimistic number. Pick a defensible rate first, then live with the output.
  • Ignoring contribution frequency. Monthly contributions compound slightly more than yearly ones because money is invested longer per dollar.

How to interpret your result

Look at three numbers. The final balance is the projected ending value. The total contributions show how much is your own money. The total interest shows what compounding added on top. If interest is a small share of the final balance, you need more time, a higher rate, or larger contributions.

A useful rule of thumb is the rule of 72. Divide 72 by your annual return to estimate how many years it takes the balance to double. At 7%, a balance doubles roughly every 10 years. At 10%, every 7 years.

Worked examples

Real numbers calculated from the same formula as the live tool. Every figure below is verified, not approximated.

The 10 year head start (illustrative)

Two illustrative investors. $10,000 start, $500 monthly, 7% real, monthly compounding

Investor A starts at 25 and invests for 40 years until 65. Investor B does the same plan but starts at 35 and invests for 30 years. The 10 year head start is the entire difference.

Result: Investor A ends with roughly $1,475,521. Investor B ends with roughly $691,150. A contributed only $60,000 more than B but ended with $784,370 more.

Mid career investor

$50,000 start, $500 monthly, 6% annual, 15 years, monthly compounding

A 40 year old plans steady contributions through to age 55 on a balanced portfolio return.

Result: Final balance around $267,000, with roughly $140,000 contributed and $127,000 of compounded growth.

Conservative pre retiree

$100,000 start, $1,000 monthly, 5% annual, 25 years, yearly compounding

A pre retiree runs a deliberately conservative projection to stress test current contributions.

Result: Final balance around $937,000, blending roughly $400,000 of contributions with $537,000 of compounded growth.

Starter saver

$5,000 start, $100 monthly, 7% real, 20 years, yearly compounding

A reader in their late 20s checks what consistent small contributions do over two decades.

Result: Final balance around $71,000, of which roughly $29,000 is contributions and $42,000 is compounded interest.

Doubled effort plus 10 more years (the rule of 72 in action)

$10,000 start, $400 monthly, 7% annual, 30 years, yearly compounding

Take the base scenario ($10,000, $200 monthly, 7%, 20 years = $137,086) and double both contribution and time. The rule of 72 says money doubles every 10 years at 7%, so extra time roughly doubles the balance and doubled contributions roughly double it again.

Result: Final balance around $529,534, which is 3.86 times the base case. Two doublings compound on each other. This is why planners stress horizon and contribution rate over chasing yield.

Frequently asked questions

The questions users most often ask about calculator output.

Is the Compound Interest Calculator free?

Yes. The calculator is free to use, no signup or account required. It runs in your browser. Your inputs are not stored or shared.

Is the calculation accurate?

The math is exact for the formula shown above. What is not accurate is the projection itself, because real returns are not constant. See the assumptions card above for a full list of what the calculator does and does not model.

What return rate should I use?

For long term equity, 7% real or 10% nominal are defensible based on S&P 500 history since 1928. For conservative planning use 5 to 6% real. For bonds or cash, 1 to 3% real. Avoid above 10% nominal without strong justification.

Does this account for inflation?

Not by default. The projection is in nominal dollars. To plan in real terms (purchasing power), enter a real return rate. Modelling a 7% return with 3% inflation as a 4% real return shows the balance in today’s dollars.

Does this account for fees and tax?

No. The projection is gross. A 1% annual fee compounds to roughly 18 to 19% lower balance over 30 years. Capital gains and dividend tax further reduce real outcomes outside tax sheltered accounts.

What is the difference between simple and compound interest?

Simple interest is calculated only on the original principal each period. Compound interest is calculated on the principal plus all interest already earned. Over long periods, compounding produces a much larger final balance for the same interest rate.

Does compounding frequency really matter?

It matters but less than people think once you are compounding at least once a year. Moving from yearly to monthly compounding on a 7% return raises the effective annual yield by only a fraction of a percent. The bigger drivers of growth are time, rate and contribution size.

Why does my projection look so high?

Compound interest is not linear. Over 30 plus years even modest contributions grow to large balances under constant rate assumptions. The number is not wrong, but real outcomes will be lower due to volatility, fees, tax, and missed contributions during downturns.

Related calculators

Other tools for different parts of your financial picture.

Footnotes

  1. S&P 500 annual return range based on NYU Stern historical equity returns dataset, Aswath Damodaran, covering calendar years 1928 to 2024. Worst single year approximately negative 43.8% (1931), best approximately positive 52.6% (1954). Returns reflect price plus reinvested dividends. pages.stern.nyu.edu
  2. Fee drag estimate calculated using the same compound interest formula applied to the page base case ($10,000 start, $200 monthly, 30 years, yearly compounding). Comparing 7% gross vs 6% net produced a final balance gap of roughly 18% in our internal verification. The widely cited “1% fee equals 26% lower balance” figure assumes a longer horizon and higher gross rate; the more conservative 18 to 19% range reflects the inputs used on this page.
  3. Australian Taxation Office, Capital Gains Tax for individuals, including the 50% discount on assets held longer than 12 months. Rules vary by jurisdiction and personal circumstances. ato.gov.au
  4. Long run US CPI inflation has averaged roughly 3% per year since 1928, per Federal Reserve Bank of St. Louis FRED data. Real returns equal nominal returns minus inflation, approximately. fred.stlouisfed.org

Sources and methodology

The calculator uses the standard compound interest formula with regular contributions. Historical S&P 500 return data referenced from publicly available primary aggregators of US equity returns since 1928. Australian tax and investing context references ASIC MoneySmart and the ATO.

  • NYU Stern School of Business, Aswath Damodaran historical equity returns dataset, pages.stern.nyu.edu.
  • U.S. Securities and Exchange Commission, Investor.gov compound interest education materials, sec.gov/investor.
  • ASIC MoneySmart, Australian investor education on compounding and investing basics, moneysmart.gov.au.
  • Australian Taxation Office, Capital Gains Tax for individuals including the 50% CGT discount after 12 months, ato.gov.au.
  • Federal Reserve Bank of St. Louis, FRED database for historical interest rate and CPI context, fred.stlouisfed.org.

Educational use only

This calculator is provided for general educational purposes only. It does not constitute financial product advice and does not take into account your personal objectives, financial situation or needs. Past performance and assumed return rates are not a reliable indicator of future results. Tax rules vary by jurisdiction and personal circumstances. Consider whether any general information is appropriate for you and seek independent licensed advice before making any investment decision.

What this calculator does not do

  • It does not model taxes on interest, dividends or capital gains.
  • It assumes a fixed annual return each year, while real investment returns are volatile.
  • It does not factor in account fees, brokerage costs or fund expense ratios.
  • It does not include inflation adjustments unless you enter a real return rate yourself.
  • It treats every contribution as fully invested at the start or end of each period and does not model irregular deposits or mid period withdrawals.
  • It does not run Monte Carlo simulations or model sequence of returns risk.

Know the math. Use it with confidence.

This calculator gives you the number. Our free courses teach you the why behind the math, the assumptions to question, and how to apply it to your own portfolio.

  • Plain English explanations from a CPA and university lecturer
  • Worked case studies using real index data
  • Quizzes and downloadable worksheets
Start the free course
Free signup. No credit card required.

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Enter your starting amount, rate, time horizon and contributions. The calculator updates the projection, chart and year by year table in real time.

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