無料複利計算機
複利の力で資産がどのように成長するかをご確認ください。
Compound interest is interest calculated on both the initial principal and all previously accumulated interest, described by the formula A = P(1 + r/n)^(nt). The S&P 500 has delivered an average annual return of approximately 10.3% before inflation and roughly 7% after inflation over the past 50 years (Damodaran, NYU Stern, 'Historical Returns on Stocks, Bonds and Bills,' 2025, https://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html). CalcMyCompound models this growth instantly with adjustable inputs for principal, contributions, rate, compounding frequency, and time.
計算機の使い方
- 1
初期投資額を入力 — 今日投資できる金額を入力します。
- 2
毎月の積立額を設定 — 毎月追加する金額を設定します。
- 3
予想年利率を選択 — 7%は分散投資の一般的な保守的見積もりです。
- 4
複利頻度を選択 — 月次が最も一般的です。
- 5
投資期間を調整 — スライダーで年数を変更すると、グラフがリアルタイムで更新されます。
複利とは？
複利とは、元本だけでなく過去に蓄積された利息にも利息がつく仕組みです。単利が元本にのみ利息がつくのに対し、複利はお金が指数関数的に成長します。
計算式
A = P(1 + r/n)^(nt)各記号の意味：
- A = 最終金額
- P = 元本（初期投資額）
- r = 年利率（小数）
- n = 年間の複利計算回数
- t = 年数
計算例
100万円を年利7%、月次複利で10年間投資すると、追加投資なしで約200万9,700円に成長します。複利の力だけで2倍以上に増えます。
Written by Kymata Labs Editorial Team·Finance Tools Division
Reviewed by Kymata Labs QA·Technical Review
Simple Interest vs Compound Interest
The chart below shows how $10,000 grows over 20 years at 7% annual return. With simple interest, you earn a flat $700 each year. With compound interest, your earnings accelerate as interest earns interest — resulting in $24,719 more by year 20.
After 20 years at 7%, compound interest earns $24,719 more than simple interest on the same $10,000 investment.
Read our full guide: Compound vs Simple Interest — What's the Difference?
The Rule of 72
A quick mental math shortcut to estimate how long it takes for an investment to double:
Years to double = 72 ÷ interest rateAt 8% annual returns: 72 ÷ 8 = 9 years to double your money.
Read our full guide: The Rule of 72 Explained
Understanding the Compound Interest Formula Step by Step
The compound interest formula A = P(1 + r/n)^(nt) calculates the future value of an investment by applying the interest rate repeatedly over compounding periods. Here is a worked example: $5,000 principal, 6% annual rate, monthly compounding, 15 years.
Given: $5,000 principal | 6% annual rate | Monthly compounding | 15 years
- 1Convert annual rate to periodic rate:
r/n = 0.06 ÷ 12 = 0.005 (0.5% per month) - 2Calculate total compounding periods:
n × t = 12 × 15 = 180 periods - 3Calculate the growth factor:
(1 + 0.005)^180 = 2.4541 - 4Multiply by principal:
$5,000 × 2.4541 = $12,270.47
Your $5,000 grows to $12,270.47 — a gain of $7,270.47 purely from compound interest, without adding a single dollar in contributions. CalcMyCompound performs this calculation instantly with any values you enter.
Common Compound Interest & Investing Questions
How much money do I need to invest monthly to become a millionaire?
To reach $1,000,000 with compound interest at a 7% annual return compounded monthly, a 25-year-old needs to invest approximately $381 per month for 40 years, while a 35-year-old needs approximately $820 per month for 30 years (Vanguard, 'Principles for Investing Success,' 2024, https://investor.vanguard.com/investor-resources-education/investment-principles). CalcMyCompound models these exact scenarios — adjust the monthly contribution slider and time horizon to see your personalized projection.
Does compounding daily instead of monthly make a big difference?
Daily compounding produces marginally higher returns than monthly compounding, but the difference is small in practice. On a $10,000 investment at 7% over 30 years, daily compounding yields $81,165 versus $81,007 for monthly compounding — a difference of only $158 or 0.19%. The real drivers of growth are contribution amount, rate of return, and time horizon, not compounding frequency.
What is the average annual return of the stock market after inflation?
The S&P 500 has delivered an average inflation-adjusted annual return of approximately 7% over the past 50 years, compared to approximately 10.3% in nominal terms before inflation (Damodaran, NYU Stern, 'Historical Returns on Stocks, Bonds and Bills,' 2025, https://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html). This 7% real return is the most commonly used conservative estimate for long-term investment projections and is the default rate many financial planners recommend.
How does starting age affect the power of compound interest?
Starting early is the single most important variable in long-term wealth building. Consider two investors: Alex starts investing $300/month at age 22 and stops at 32 (10 years of contributions), while Jordan starts at 32 and invests $300/month until age 62 (30 years). Assuming a 7% annual return, Alex ends up with roughly $338,000 while Jordan ends up with about $340,000 — nearly equal outcomes despite Alex contributing for only one-third the time. This illustrates why time in the market nearly always beats timing the market.
Can I use compound interest to pay off debt faster?
Understanding compound interest is just as critical for paying off debt as for building wealth — because debt compounds against you. A $5,000 credit card balance at 20% APR compounded daily will grow to over $13,000 in five years if you only make minimum payments. The strategy is to direct every extra dollar toward the highest-rate debt first (the avalanche method), which directly reduces the principal that compound interest attacks. Once high-interest debt is cleared, redirecting those same payments into investments harnesses compounding in your favor.
What is the difference between APR and APY, and why does it matter for compounding?
APR (Annual Percentage Rate) is the stated annual rate without accounting for compounding within the year. APY (Annual Percentage Yield) reflects the true return after compounding. A savings account advertising 5% APR compounded monthly actually earns 5.116% APY. The gap widens as compounding frequency increases. When comparing savings accounts, certificates of deposit, or loans, always compare APY — it is the honest measure of what you actually earn or owe after a full year of compounding.
How does compound interest grow $10,000 over 30 years at different rates?
Rate of return has a dramatic long-term effect. $10,000 invested for 30 years with no additional contributions grows to approximately: $18,114 at 2% (conservative bonds), $43,219 at 5% (balanced portfolio), $76,123 at 7% (diversified equities, inflation-adjusted), $174,494 at 10% (aggressive equities, nominal). The difference between 7% and 10% over 30 years is a staggering $98,000 on a $10,000 starting investment — which is why choosing the right asset allocation and minimizing fees matters enormously over long time horizons.
What role do monthly contributions play compared to the initial lump sum?
Over long time horizons, consistent monthly contributions often matter more than the initial lump sum because each contribution starts its own compounding journey. Starting with $10,000 at 7% for 30 years gives you $76,123. Adding just $200 per month to that same setup gives you $320,233 — more than four times as much. The monthly contributions compound for their own respective periods. This is why financial planners emphasize automating regular investments: the habit of consistent contributions, even small ones, is the true engine of long-term wealth.