Compound Interest Calculator

Calculate compound interest online for free. See how your investments grow over time.

✓ Free✓ No sign-up✓ Works in browser

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$
$

Future Value

$167,072

Total Deposited$58,000
Interest Earned$109,072

Growth over time

Yr 0
$10,000
Yr 2
$16,916
Yr 4
$25,027
Yr 6
$34,540
Yr 8
$45,698
Yr 10
$58,786
Yr 12
$74,136
Yr 14
$92,139
Yr 16
$113,256
Yr 18
$138,023
Yr 20
$167,072
DepositedInterest

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How to Use This Tool

1

Enter Your Investment Details

Enter your initial investment amount, expected annual return rate, and time period in years.

2

Add Monthly Contributions

Optionally enter a monthly contribution amount to see how regular investing accelerates your wealth growth through dollar-cost averaging.

3

Read Your Results

See the future value of your investment, total amount deposited, and total interest earned. The bar chart shows how your money grows year by year.

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Frequently Asked Questions

What is compound interest?
Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. Einstein reportedly called it the eighth wonder of the world — money grows exponentially, not linearly.
What is a realistic return rate to use?
The S&P 500 index has historically returned approximately 10% annually before inflation, or about 7% after inflation. For conservative estimates, use 6-7%. For bonds, use 3-4%.
How does compounding frequency affect growth?
More frequent compounding (daily vs annually) produces slightly higher returns. Daily compounding earns slightly more than monthly, which earns more than annual. The difference becomes significant over long time periods.
What is the Rule of 72?
Divide 72 by your annual interest rate to estimate how many years it takes to double your money. At 8% return, your money doubles in about 9 years (72 ÷ 8 = 9).

About Compound Interest Calculator

A 28-year-old just started contributing 500 USD per month to a Roth IRA in a target-date fund, and their parent is asking whether that is really enough or if they should push to 700 USD by skipping one streaming subscription and cutting restaurants by 30 percent. The difference over 37 years at an assumed 7 percent real return is not a few thousand dollars — it is closer to 350,000 USD of post-tax retirement buying power. This calculator runs the future value of a series (FVA) formula FV = PMT * ((1+r)^n - 1) / r combined with the future value of a lump sum FV = PV * (1+r)^n, so you can model a starting balance, monthly contributions, an assumed annual return, a compounding frequency (monthly is realistic for most funds, daily for high-yield savings, continuous as a theoretical limit), and the number of years. It shows nominal dollars, real dollars after a 2.5 percent inflation assumption, the total contributed principal, and the portion of the final balance that is growth — the latter is often eye-opening, because at a 30-year horizon two-thirds of your final balance is growth and only one-third is money you actually put in.

When to use this tool

Projecting a Roth IRA at the 2024 contribution limit

A 25-year-old maxing the 7,000 USD 2024 Roth IRA limit (contribution + catch-up) every year until 65 at an assumed 7 percent real return. Final balance around 1.5 million USD in real terms — tax-free at withdrawal — with about 280K USD contributed and 1.2 million in growth.

Comparing a 6 percent 529 to a 9 percent taxable brokerage

Parent saving for a newborn's college (18-year horizon). 529 plan tax-free for qualified expenses but limited investment menus. Taxable brokerage has wider options but long-term capital gains tax on withdrawal. Run both at their realistic expected returns to compare net-of-tax balances.

Modeling a down-payment savings goal

Saving 80K USD for a house down payment in 5 years via a high-yield savings account at 4.5 percent APY. Calculate monthly contribution needed (~1,200 USD/month) and how much sooner an extra 300 USD/month would close the gap (roughly 12 months earlier).

Stress-testing a retirement balance with lower returns

Investor whose financial plan assumes 7 percent real; stress-test at 4 percent real and 10 percent real to see the range of outcomes. At 4 percent the portfolio might fall 35 to 45 percent short of target, prompting either higher contributions or delayed retirement.

Teaching children about compounding

A parent illustrating to a teenager that 2,000 USD contributed once at age 16 at 7 percent becomes roughly 60,000 USD at age 65 if untouched. A dollar planted early grows 30x in half a century — the 'time in the market beats timing the market' lesson made concrete.

How it works

  1. 1

    Future value combines lump sum and annuity formulas

    FV = PV * (1+r)^n + PMT * ((1+r)^n - 1) / r, where PV is the starting balance, PMT is the periodic contribution, r is the rate per period, and n is the number of periods. For monthly contributions with an annual rate, convert r to monthly (annual/12) and n to months (years*12). This is the same formula Excel's FV function and every financial HP-12C calculator use.

  2. 2

    Compounding frequency matters, but only at the margins

    Daily compounding at 7 percent annual gives 7.25 percent effective annual yield (EAY); continuous compounding gives 7.251 percent. Monthly gives 7.229 percent. On a 30-year horizon the difference between daily and monthly compounding on a 100K USD portfolio is roughly 1,000 USD — meaningful but dwarfed by return-assumption sensitivity. Inflation, contribution consistency, and asset allocation matter 50x more than compounding frequency.

  3. 3

    Real versus nominal is the single most important toggle

    Nominal returns ignore inflation and overstate future buying power. A 7 percent nominal return in a 2.5 percent inflation environment is 4.4 percent real. At 30 years, the nominal figure looks 2.3x larger than the real figure for the same portfolio. Always plan in real (inflation-adjusted) dollars and use nominal only when comparing against specific nominal benchmarks or tax thresholds.

Pro tips

Assume 5 to 7 percent real, not 10 percent nominal

The S&P 500 averaged roughly 10 percent nominal from 1926 to 2023, but subtract 3 percent average inflation and you have 7 percent real. That is the number to plan on. Financial advisors who quote 10 percent returns without specifying nominal versus real are setting clients up for disappointment. A conservative 5 percent real assumption gives you a realistic floor; use 4 to 5 percent real for stress tests and 7 percent real for base-case planning.

Tax drag on taxable accounts is real

A taxable brokerage account earning 7 percent nominal in an S&P 500 index fund pays long-term capital gains tax (15 to 23.8 percent for most earners) on the realized gain when you sell. Dividend yield of 1.5 to 2 percent is also taxed annually, roughly 0.3 percent drag. After-tax effective return on a 7 percent nominal portfolio is closer to 6.3 to 6.5 percent. A Roth IRA at the same allocation captures the full 7 percent because withdrawals are tax-free. Over 30 years the Roth advantage compounds to roughly 20 percent more final balance.

Start early, because the first 10 years are the multiplier

A dollar invested at age 25 at 7 percent real becomes 7.6 USD by age 55 and 15.1 USD by age 65. The same dollar invested at age 45 becomes only 3.87 USD by age 65. Time in the market doubles the output roughly every decade at 7 percent. Someone who starts at 25 and stops contributing at 35 (investing 10K USD total) often ends up with more than someone who starts at 35 and contributes until 65 (putting in 30K USD total). Early contributions are worth 2 to 5x late ones per dollar.

Frequently asked questions

What is a realistic return rate to use in projections?

For a US-equity-heavy portfolio over 20+ years, 7 percent real (after inflation) is a reasonable planning assumption. This comes from the long-run S&P 500 return of roughly 10 percent nominal minus the long-run inflation of 3 percent. For a diversified 60/40 portfolio (60 percent stocks, 40 percent bonds), 5 percent real is more realistic. For an all-bond portfolio, 1 to 2 percent real. Vanguard, Fidelity, BlackRock, and most institutional researchers publish capital market assumptions annually — current 10-year expectations as of 2024 are generally 4 to 6 percent real for equities, lower than the 100-year average. Be conservative and stress-test with 3 and 5 percent scenarios.

Should I use real or nominal returns in this calculator?

Plan in real returns for any horizon over 5 years. Real returns give you the future buying power of your balance in today's dollars, which is the question you actually care about. A 2 million USD nominal balance in 30 years sounds impressive, but at 2.5 percent inflation that is only 950K USD in today's buying power — still good, but not the number the nominal figure suggests. Use nominal for short-term cash flows (a 6-month CD, a 2-year car loan) where inflation barely moves the needle. For retirement, college, or house-down-payment projections spanning 10+ years, always think in real terms.

How does the compounding frequency affect my results?

Less than most people expect. Daily compounding at 7 percent annual produces 7.25 percent effective annual yield; monthly produces 7.229 percent; quarterly 7.186 percent; annual 7.0 percent. Over 30 years on a 100K USD portfolio the gap between daily and annual compounding is roughly 2 percent of final balance — meaningful but secondary to contribution rate and return assumption. High-yield savings accounts typically compound daily; most mutual funds and ETFs effectively compound continuously as NAV updates daily; 401(k) contributions compound per contribution cycle (semi-monthly for most plans). Pick monthly as the realistic default for long-term planning.

Does this calculator account for taxes?

No. It returns gross (pre-tax) growth. For a Roth IRA, the gross number is also the net number because qualified withdrawals after 59.5 are tax-free. For a Traditional 401(k) or IRA, apply your expected retirement marginal rate (often 12 to 22 percent for middle-class retirees) to the entire balance at withdrawal. For a taxable brokerage, apply long-term capital gains rates (15 percent for most, 20 percent plus 3.8 percent NIIT for high earners) to the realized gains on sale. For an HSA, withdrawals for qualified medical expenses are tax-free — effectively triple-tax-advantaged. This is not tax advice; a CPA can model your specific after-tax balance based on your expected retirement income and filing status.

What happens if the market has a 50 percent crash right before I retire?

This is sequence-of-return risk and the calculator does not model it. A constant 7 percent return assumption smooths over the reality that markets are volatile and the order of returns matters. If your portfolio drops 40 percent in year 29 of a 30-year plan, your final balance can be 30 to 40 percent below the projection even if the long-run average return held. Mitigations include glide-path asset allocation (shifting to bonds as you approach retirement), bucket strategies with 3 to 5 years of expenses in cash equivalents, and variable withdrawal rules like Guyton-Klinger. A Monte Carlo simulator (FIRECalc, ficalc.app) gives a probabilistic view that a deterministic calculator cannot match.

Honest limitations

  • · Assumes a constant return rate; real markets have sequence-of-return risk where early-career downturns hurt less than late-career ones.
  • · Does not model tax treatment differences between Roth, Traditional, 529, HSA, or taxable brokerage — compare net-of-tax balances separately for each vehicle.
  • · Inflation is modeled as a constant 2.5 percent by default; actual inflation has averaged 3.2 percent since 1970 and varies dramatically in short windows (9 percent in 2022, under 1 percent in 2015).

Compound growth projections are most useful when paired with the other retirement-planning tools in this set. The retirement-calculator uses compound interest math to answer 'what monthly savings hit a target' rather than 'what does my current savings become.' The paycheck-calculator tells you what net income is available to redirect toward investing. The mortgage-calculator handles the opposite-sign version of compounding (interest accruing against you on debt rather than for you on assets). For short-horizon cash accumulation, the loan-calculator compares a debt-payoff strategy against an investing strategy at equivalent rates.

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