インタラクティブ定量金融・リスク計算ツール · E-E-A-T 数式監査
JA · 日本語CAGR calculator
The compound annual growth rate (CAGR) is the constant yearly rate that takes an investment from its starting value to its ending value. It smooths out volatile years so you can compare investments held for different lengths of time.
CAGR
13.09%
- Total growth
- 85.00%
- Growth multiple
- 1.85×
| Year | Value at CAGR |
|---|---|
| 0 | 10,000.00 |
| 1 | 11,309.26 |
| 2 | 12,789.95 |
| 3 | 14,464.49 |
| 4 | 16,358.27 |
| 5 | 18,500.00 |
1. 基礎数式およびプライシング恒等式
CAGR = (Ending value ÷ Starting value)^(1 ÷ Years) − 1
2. 入力パラメータと使用方法
Enter the starting value, the ending value and the holding period in years. Fractional years are allowed, so 2.5 years works.
The projection table compounds the starting value at the CAGR so you can see the path that a steady return would have taken.
3. 前提条件およびモデルの限界
- CAGR ignores the timing of deposits and withdrawals. If you added or removed money during the period, use a money-weighted return (IRR) instead.
- It describes a past or hypothetical path; it says nothing about volatility or risk.
4. よくある質問とリスク管理解説（FAQ）
Is CAGR the same as the average annual return?
No. The arithmetic average of yearly returns is higher than CAGR whenever returns vary. A +50% year followed by a −50% year averages 0% but has a CAGR of about −13.4%, because you end with 75% of what you started with.
Can CAGR be negative?
Yes. If the ending value is below the starting value the CAGR is negative. It cannot be calculated if either value is zero or negative.
「CAGR calculator」の計算結果を機関リスク管理フローでどのように検証できますか？
QuantCalc Tools は本ページにすべての数式と日数基準を明記しています。リスク管理チームは同一の入力値をPython/Pandas等で独自に再現でき、さらに QuantCalc Tools のライセンス検証センターで取引先法人の規制ステータスを確認できます。
免責事項：本ツールは教育および定量リサーチのみを目的としており、投資助言ではありません。計算結果は入力値と上記の前提条件に依存するため、重要な数値は独自に検証してください。