03 // 双向 STEM 与金融计算器 // 金融理财、企业估值与 SAAS 指标计算器T = K / r
72 法则本金翻倍时间计算器
在资产翻倍所需年数与年化复合收益率之间进行一键快速互算。
T = K / r
选择要计算的未知量（或直接在任意输入框中输入数值）：当前求解: T — Doubling Time
计算结果
Years required for capital to double (2.0x)
1100
Annualized rate of return in percent
0.572
%
72 for standard annual rates (69.3 for continuous compounding)
6876
unit
计算结果 · Doubling Time (T)
9yr
单位换算：
分步代入计算过程
01Canonical Law: T = K / r
02Given Inputs (Base Units): r (%) = 8, K = 72
03Solve for T (Doubling Time): T = 9 yr
The Rule of 72 approximates the number of years T required to double an investment at a fixed annual compound rate r via T = K / r (where K = 72 for annual compounding).
常见参考标准值
6% Annual Return12.0 Years to 2x
Balanced 60/40 portfolio doubling cadence
9% Annual Return8.0 Years to 2x
Global equity historical doubling pace
Continuous Compounding (K = 69.3)ln(2) × 100 = 69.31
Exact mathematical limit as compounding frequency → ∞
20 行数值对照表
Doubling Time (T) · Annual Compound Rate (r (%))
| # | Annual Compound Rate (r (%)) | Doubling Time (yr) | Δ % |
|---|---|---|---|
| 01 | 0.5 | 144 yr | +1500.00% |
| 02 | 1.4122 | 50.9853 yr | +466.50% |
| 03 | 2.3243 | 30.9765 yr | +244.18% |
| 04 | 3.2365 | 22.2462 yr | +147.18% |
| 05 | 4.1487 | 17.3549 yr | +92.83% |
| 06 | 5.0609 | 14.2268 yr | +58.08% |
| 07 | 5.973 | 12.0542 yr | +33.94% |
| 08 | 6.8852 | 10.4572 yr | +16.19% |
| 09 | 8 当前 | 9 yr | 0.00% |
| 10 | 8.7095 | 8.2668 yr | -8.15% |
| 11 | 9.6217 | 7.4831 yr | -16.85% |
| 12 | 10.5339 | 6.8351 yr | -24.05% |
| 13 | 11.4461 | 6.2904 yr | -30.11% |
| 14 | 12.3582 | 5.8261 yr | -35.27% |
| 15 | 13.2704 | 5.4256 yr | -39.72% |
| 16 | 14.1826 | 5.0767 yr | -43.59% |
| 17 | 15.0947 | 4.7699 yr | -47.00% |
| 18 | 16.0069 | 4.4981 yr | -50.02% |
| 19 | 16.9191 | 4.2556 yr | -52.72% |
| 20 | 17.8313 | 4.0379 yr | -55.13% |
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常见问题解答 (FAQ)
如何使用在线 72 法则本金翻倍时间计算器 工具？+
输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化 72 法则本金翻倍时间计算器（基于关系式 T = K / r）。在资产翻倍所需年数与年化复合收益率之间进行一键快速互算。
可以导出或打印 72 法则本金翻倍时间计算器 的结果吗？+
可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。
我可以清空 72 法则本金翻倍时间计算器 中的示例数据并从空白状态开始吗？+
可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。