Investment Calculator

Model long-term growth under different deposit and return assumptions so you can compare scenarios clearly and plan your next investment steps with more confidence.

使用された公式

A=P(1+rn)nt+PMT(1+rn)nt1rn\textcolor{#4ade80}{A} = \textcolor{#60a5fa}{P} \cdot \left(1 + \frac{r}{n}\right)^{n \cdot t} + \textcolor{#fb923c}{\text{PMT}} \cdot \textcolor{#60a5fa}{\frac{\left(1 + \frac{r}{n}\right)^{n \cdot t} - 1}{\frac{r}{n}}}
A=最終価値
P=初期元本
PMT=定期拠出額
r=年間金利(名目)
n=年間複利回数
t=年数
Investment
複利頻度
$
$
7.0%
20
投資総額
$140K $
最終価値
$331K $
利益
+$191K $
拠出に対するROI
136.5%
実効年率利回り*
4.4%
最終価値に占める利息割合
57.7%

*近似値:(最終価値 ÷ 総拠出額)^(1/t) − 1。キャッシュフローが変動する場合、IRRや金銭加重リターンとは異なります。

AI Deep Review

Runs only when you click Analyze, then reviews input quality and output realism.

年ごとの成長
投資価値投資総額
066K132K199K265K331K
開始20年目
残高の構成
累積リターン拠出額(累計)
066K132K199K265K331K
開始20年目
月次利息(初期月)
最初の60ヶ月
089178266355
シナリオ比較(最終価値)
ベースケース保守的(年率−2%)積極的(年率+2%)月次拠出増(+50%)
092K183K275K366K458K
開始20年目
シナリオ結果

同じ期間と複利。金利または拠出額のオーバーライドをラベル通りに。

シナリオ最終価値利益ベース比
ベースケース$331K $+$191K $
保守的(年率−2%)$256K $+$116K $-22.7%
積極的(年率+2%)$432K $+$292K $+30.3%
月次拠出増(+50%)$458K $+$258K $+38.3%
積立スケジュール
期首預入利息期末残高
1年目
120,00050011320,613
220,61350011721,230
321,23050012021,850
421,85050012422,473
522,47350012723,100
623,10050013123,731
723,73150013424,365
824,36550013825,003
925,00350014125,644
1025,64450014526,289
1126,28950014926,938
1226,93850015227,590
2年目
1327,59050015628,246
1428,24650016028,906
1528,90650016329,569
1629,56950016730,236
1730,23650017130,907
1830,90750017531,582
1931,58250017932,261
2032,26150018232,943
2132,94350018633,629
2233,62950019034,320
2334,32050019435,014
2435,01450019835,712
3年目
2535,71250020236,414
2636,41450020637,119
2737,11950021037,829
2837,82950021438,543
2938,54350021839,261
3039,26150022239,983
3139,98350022640,709
3240,70950023041,439
3341,43950023442,174
3442,17450023842,912
3542,91250024343,655
3643,65550024744,402
例:複利 vs 単利(固定元本)

追加拠出なしの元本残高で30年間にわたり複利 vs 単利を比較。表示額はロケールに適した一般的な規模。

100,000 拠出なし — 30年 — 年複利
12%複利8%複利5%複利8%単利
0599K1.2M1.8M2.4M3.0M
12%複利: $3.0M $ 30.0)
8%複利: $1.0M $ 10.1)
5%複利: $432K $ 4.3)
8%単利: $340K $ 3.4)

この投資電卓の使い方

上から順に数値を入力し、KPIと可視化を確認。以下:各コントロールの意味、安全な入力方法、信頼できるヘッドライン数値の前に確認すべきこと。

例(現実的なデフォルト値)

お使いのロケールの妥当な小売スケールを反映。リセットは、ウィジェットが最初に読み込む際に使用するサンプル資金、月次預金、利率、期間を再読み込みします。

  • USDスタイル:$25,000開始残高、月$400、6.50%名目APR、月次複利、18年期間 — 長期のブローカーまたは職場プラン計算の典型的例。
  • EURスタイル:€15,000一括、月€250、5.50%名目、四半期または月次複利(ファンド資料に合わせる)、15年期間 — プランニングの保守的な成長仮定。
  • 編集後、償還タブを開いて、初期行が金融機関の利息付与方法と一致するか確認。ヘッドラインの将来価値は頻度と利率の入力만큼信頼できます。

フィールドとコントロール

複利計算頻度(年 / 四半期 / 月 / 日)
これがエンジンに、提示された名目利率が年の中で何回適用されるかを伝えます。商品開示に合わせてください:マネーマーケットや貯蓄口座は「X% APY」とマーケティング文面で日付を示しても、月次や日次でクレジットされることがあります。不明な場合は、多くの小売ファンドで月次が妥当な初期値です。
初期資本(P)
開始時にすでに投資されている一括金額。通貨の整数単位で入力してください。フィールドはロケールスタイルの桁区切り文字を受け付けます。純粋な定期預金で開始残高がない場合のみゼロを使用してください。
月次拠出額
毎月の定期預金額。一括投資の場合はゼロに設定。実際にお金を自動化できる額(給与振込、自動振替)に合わせてください — スケジュールは全期間同じ拠出を想定しています。
年利率(r)
インフレ前の名目年利率(他の場所で「実質」リターンを意図的にモデル化しない限り)。スライダーの許容範囲内に留めてください;極端な値は誤入力防止のためにブロックされています。
期間(年)
投資期間の年数。範囲スライダーは整数年でスナップします — 短い目標に月レベルの精度が必要な場合は、 amoritization タブを使用し、ヘッドラインのFVではなく月次行を参照してください。
リセット
複利を年次に戻し、ロケールに適した資金と月次預金のサンプル金額をリロードし、年数をリセットします。実験後にクリーンなベースラインが必要な場合に使用。

結果の読み方

  1. KPI行投資総額、最終残高、利益、拠出に対するROI、粗い年率換算利回り、および利息による最終残高の割合をチャートを開く前に確認。
  2. チャート成長 vs 預金、残高の構成、早期月の利息バー、シナリオ曲線。これらは単一のヘッドライン数値だけでなく、ペース、構成、感度を示します。
  3. シナリオテーブルと償還表テーブルは代替利率と貯蓄仮定での最終値を比較。月次および年次スケジュールで各期間のキャッシュフローを監査できます。
  4. 例ブロックとフローティングボタン複利 vs 単利の例は別の一括投資仮定を使用 — 開いて曲線の形状を比較。コーナーボタンは長いページでチャートグリッドまたはスケジュールにジャンプ。

データ入力時の重要な確認事項

  • ロケールは小数点に影響:カンマ小数ロケールでは小数点にカンマを使用;1つのフィールドでスタイルを混ぜないでください。
  • 全期間を通じた一定の名目利率は簡略化です — 階梯型商品や変動利率は乖離します。
  • リターンは税金、プラットフォーム手数料、インフレを無視;資本を投入する前に、それらを心の中で差し引くか別のシートで計算してください。

デフォルトはお使いの言語の妥当なスケールに一致;任意のフィールドを調整。出力は教育的な予測のみです。

What Is an Investment Calculator?

An investment calculator is a financial planning tool that models how money grows over time through compound interest, periodic contributions, and different return rates. This professional-grade compound interest calculator goes beyond a single future-value figure — it delivers a full KPI dashboard, four interactive charts, a line-by-line amortization schedule, and an AI-powered deep review of your scenario. Whether you are planning for retirement, modeling a DCA (dollar-cost averaging) strategy, or benchmarking a brokerage account against a savings account, this tool gives you the depth a spreadsheet would take hours to build.

The calculator supports four compounding frequencies (annual, quarterly, monthly, daily), monthly recurring contributions at any amount, and scenarios that overlay conservative, base-case, and aggressive return paths simultaneously. All outputs adjust to your locale's number format and currency scale automatically.

Investment calculator infographic: compound interest formula A = P(1+r/n)^(n×t) + PMT × [(1+r/n)^(n×t)-1]/(r/n), portfolio growth bar chart at 7% APR across 10, 20, 30 years from $20,000 principal, compounding frequency comparison table annual quarterly monthly daily, and Rule of 72 quick reference
Investment Growth Formula & Key Reference Data. The compound interest formula (left), portfolio growth trajectory at 7% APR (center), compounding frequency impact table (right), and the Rule of 72 quick reference (bottom). All values are illustrative — use the live calculator above for your specific inputs.

The Compound Interest Formula Explained

The foundation of every investment growth calculator is the standard compound interest formula extended with a periodic payment term:

A = P × (1 + r/n)^(n × t) + PMT × [ (1 + r/n)^(n × t) − 1 ] ÷ (r/n)
A

Final portfolio value (what the calculator outputs)

P

Principal — your initial lump-sum deposit

PMT

Periodic contribution — your monthly addition to the portfolio

r

Annual interest rate as a decimal (e.g., 7% → 0.07)

n

Compounding periods per year (12 for monthly, 365 for daily)

t

Investment time horizon in years

Worked Example: $20,000 principal + $500/month at 7% for 20 years

  • P = $20,000 (initial deposit)
  • PMT = $500/month ($6,000/year contribution)
  • r = 7% = 0.07 nominal annual rate
  • n = 12 (monthly compounding)
  • t = 20 years
  • Lump-sum growth: $20,000 × (1 + 0.07/12)^240 = $79,878
  • Monthly contributions growth: $500 × [(1.00583)^240 − 1] / 0.00583 = $260,928
  • Final Value A ≈ $340,806 | Total deposited: $140,000 | Interest earned: $200,806 (ROI: 143%)

The Power of Compounding Over Time

Albert Einstein allegedly called compound interest "the eighth wonder of the world — he who understands it, earns it; he who doesn't, pays it." Whether or not Einstein said it, the math is undeniable. The longer your investment horizon, the more dramatic the compounding effect becomes relative to your contributions.

Portfolio growth at 7% APR, monthly compounding. Initial: $20,000 · Monthly: $500. All values USD.
YearsTotal DepositedFinal ValueInterest EarnedInterest % of FVROI on Contributions
5 years$50,000$75,903$25,90334%52%
10 years$80,000$124,342$44,34236%55%
15 years$110,000$196,781$86,78144%79%
20 years$140,000$312,253$172,25355%123%
25 years$170,000$484,058$314,05865%185%
30 years$200,000$743,271$543,27173%272%
🎯 Key insight: At 20 years, only 55% of your final portfolio came from interest — but by year 30, compound growth accounts for 73% of your wealth. The last decade of a 30-year plan generates more interest ($229K) than the first 20 years combined ($172K). Starting early is more powerful than contributing more.

Compounding Frequency: Annual vs Monthly vs Daily

For the same nominal APR, more frequent compounding produces a higher effective yield. The difference comes from interest earning interest sooner. This is why savings accounts advertising "monthly compounding" earn slightly more than those with "annual compounding" at the same stated rate.

$10,000 lump sum · 7% nominal APR · No additional contributions · 20 years
CompoundingPeriods/yr (n)Effective APYFinal ValueExtra vs Annual
Annual17.000%$38,697
Quarterly47.186%$39,281+$584 (+1.5%)
Monthly127.229%$39,543+$846 (+2.2%)
Daily3657.250%$39,675+$978 (+2.5%)

Practical takeaway: The gap between annual and daily compounding at 7% over 20 years is only about $978 on a $10,000 investment — less than 2.5%. Compounding frequency matters, but the rate itself and time horizon are far more impactful. Use the calculator's compounding toggle to match your account's exact crediting schedule, then focus your energy on maximizing the monthly contribution and holding period.

Scenario Analysis: Conservative, Base, Aggressive

One of the most powerful features of this investment return calculator is side-by-side scenario comparison. Click "Analyze" to overlay three return paths simultaneously: a Conservative rate (base − 2%), your Base case, and an Aggressive rate (base + 2%). The scenario chart shows how a seemingly small 2% difference in annualized return compounds into dramatically different outcomes.

Investment scenario comparison chart showing three portfolio growth curves: conservative 5% APR reaching $461K, base case 7% APR reaching $700K, and aggressive 10% APR reaching $1.18M after 30 years from $20,000 initial deposit plus $500 monthly contributions
30-Year Scenario Comparison. Starting with $20,000 and contributing $500/month, a 5% return yields $461K while a 10% return produces $1.18M — a $719K difference from just a 5% rate gap. Use the live scenario panel in the calculator above to model your own rate assumptions.
$20,000 initial + $500/month · 30-year horizon · Monthly compounding
ScenarioAnnual RateFinal ValueTotal DepositedInterest EarnedROI
Conservative5%$461,098$200,000$261,098131%
Base Case7%$743,271$200,000$543,271272%
Aggressive10%$1,176,477$200,000$976,477488%

Amortization Schedule & Month-by-Month Breakdown

Below the KPI dashboard, the amortization schedule shows each period row-by-row: opening balance, contribution, interest earned that period, and closing balance. Toggle between Monthly (individual rows) and Yearly (annual rollup) views. This level of detail lets you:

  • Validate your model against a fund's periodic statement or a spreadsheet built independently.
  • Identify inflection points — often around year 10–12, monthly interest starts exceeding monthly contributions, meaning growth accelerates even without new deposits.
  • Plan partial withdrawals — knowing the exact balance at month 60 helps model retirement drawdown scenarios.
  • Audit precision — each row confirms interest is calculated on that period's opening balance, not a simplified annual estimate.

The monthly interest bar chart visually highlights this acceleration: early bars (months 1–24) are short, but they climb steadily as your portfolio balance grows. By year 15 in a typical midsize scenario, monthly interest alone begins to rival — then exceed — the $500 monthly contribution.

ROI, Effective Yield & the KPI Dashboard

The KPI dashboard above the charts displays six key metrics. Here's exactly what each means and why it matters for evaluating your investment portfolio growth:

Total Capital Invested

The sum of your initial deposit plus all monthly contributions: P + (PMT × 12 × t). This is what you put in, net of any returns.

Final Value (A)

The output of the compound interest formula — the projected portfolio value at the end of your selected horizon, before taxes.

Total Return (Interest)

Final Value minus Total Contributed. This is the purely interest-generated wealth — what compounding added above and beyond your savings.

ROI on Contributions

(Interest Earned ÷ Total Contributed) × 100. Tells you what percentage return you earned on the money you actually deposited.

Effective Annualized Yield

(FV ÷ Total Contributed)^(1/t) − 1. A simplified CAGR-like metric showing the equivalent annual return over the whole period. Not identical to IRR.

Interest Share of FV

What percentage of the final portfolio balance is pure interest growth vs capital you deposited. The higher this is, the more compounding has worked for you.

Investment Planning Tips & the Rule of 72

The Rule of 72

Years to Double = 72 ÷ Annual Interest Rate (%)
Annual RateYears to Double (Rule of 72)Exact Years (Formula)Difference
4%18.0 yrs17.67 yrs0.3 yrs
6%12.0 yrs11.90 yrs0.1 yrs
8%9.0 yrs9.01 yrs0.01 yrs
10%7.2 yrs7.27 yrs0.07 yrs
12%6.0 yrs6.12 yrs0.12 yrs
15%4.8 yrs4.96 yrs0.16 yrs

Top Investment Planning Strategies

🕐 Time in Market Beats Timing

Starting 10 years earlier can double your final portfolio with the same contribution rate. A 25-year-old investing $300/month at 7% until 65 will have $792K. Starting at 35 produces only $380K — less than half, despite contributing for 30 fewer years.

📈 Dollar-Cost Averaging (DCA)

Investing a fixed amount monthly regardless of market conditions reduces the average purchase price over time. This calculator models DCA precisely via the PMT term — keeping contributions constant regardless of rate swings.

🔄 Reinvest Dividends

If your investment generates dividends, reinvesting them (rather than withdrawing) dramatically amplifies compounding. Even a 2% dividend yield reinvested adds roughly 25–35% to your 20-year total at 5% base growth.

💰 Maximize Tax-Advantaged Accounts

In the US, 401(k) and IRA contributions grow tax-deferred (or tax-free for Roth). The effective APR of a Roth IRA at 7% outperforms a taxable account at 7% with 22% tax drag by the equivalent of 1.5–2% APR annually.

⚖️ Rebalance Annually

A portfolio drifting to 80% equities from a target 60/40 carries more risk than intended. Annual rebalancing sells outperformers and buys underperformers — maintaining risk level while systematically buying low.

📊 Factor in Inflation

The calculator outputs nominal values. To estimate real purchasing power, subtract ~2–3% expected inflation from your return rate. A 7% nominal return at 3% inflation = ~4% real return. Run scenarios at both rates for an honest range.

Frequently Asked Questions

💹How accurate is this investment calculator?

The calculator uses the standard compound interest formula with exact periodic compounding — not approximations. It matches values produced by Excel's FV() function. The main sources of divergence from real-world outcomes are: (1) taxes on interest/dividends, (2) investment fees and expense ratios, (3) variable returns (markets don't return exactly 7% every year), and (4) contribution timing (this model assumes end-of-period contributions). For a more conservative estimate, reduce the rate by 0.5–1% to account for fees.

💹What is the difference between ROI and annualized yield in the KPI dashboard?

ROI = (Interest Earned ÷ Total Contributed) × 100 — a simple total return ratio ignoring time. If your $140,000 in contributions grows by $172,000, ROI = 123%. The Effective Annualized Yield is a CAGR-like metric: (FV / Contributed)^(1/t) − 1. It's not identical to IRR (Internal Rate of Return) because it doesn't account for the timing of each contribution. Consider the annualized yield as an approximation — for precise IRR, you would need XIRR in Excel.

💹Should I use monthly or annual compounding in the calculator?

Match the compounding frequency to your actual investment account. High-yield savings accounts (HYSAs) typically compound daily. Index funds and ETFs do not compound in the traditional sense — they provide returns through price appreciation and dividend reinvestment. For a buy-and-hold index fund model, annual compounding is technically most accurate. Monthly compounding overestimates slightly. For comparing accounts, always check the APY (Annual Percentage Yield) — it normalizes different compounding frequencies to a single comparable figure.

💹What does the AI Deep Review do and is it private?

The AI Deep Review sends a compact summary of your inputs (principal, rate, years, compounding, monthly contribution) and outputs (final value, ROI, yield) to our server, which forwards them to a Gemini language model. The model returns a structured analysis: input quality assessment (is your rate realistic? Is your horizon adequate?), result sanity check (does the ROI look reasonable?), and recommended actions. No personal identifying information is sent — only the numerical inputs and outputs visible in the calculator. You can review the model's response and decide whether to act on it.

💹How do I calculate compound interest without a calculator?

For a lump sum with no contributions, use: A = P × (1 + r/n)^(n×t). Example: $10,000 at 7% annually for 20 years = 10,000 × (1.07)^20 = 10,000 × 3.8697 = $38,697. The Rule of 72 provides a quick mental estimate: at 7%, money doubles every ≈10.3 years. For monthly contributions, the calculation requires the annuity formula above and is most easily handled by a calculator like this one or Excel's FV() function.

💹What is a realistic annual return rate to use?

Historical returns for a global equity index (e.g., MSCI World) average 8–10% nominal per year over very long periods. After accounting for inflation (2–3%), real returns average 5–7%. After fund fees (0.05–0.5% for index ETFs, up to 1–2% for actively managed funds), net real returns are typically 4.5–6.5%. Conservative financial planning uses 5–6% nominal; aggressive models use 8–10%. The calculator's default of 7% represents a reasonable midpoint for long-term equity investing — adjust for your specific allocation and risk tolerance.

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  • CAGR Calculator

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Same Calculator in Other Languages

This investment calculator is available in 6 locales with currency-appropriate defaults. The compounding formula and all calculations are identical — only the number format, currency symbol, and default amounts change.

Disclaimer: All projections are educational estimates based on constant-rate compound interest models. Taxes, fund expense ratios, inflation, market volatility, and contribution timing variations are not fully modeled. Past market returns do not guarantee future results. Consult a licensed financial advisor before making investment decisions.

🧮 電卓

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