连续复利 (A = Pe^rt) 计算器
求解连续复利方程 A = P × e^(rt) 中的期末总金额、初始本金、连续复利利率或投资时间。
Continuously compounded future value
Starting capital at t = 0
Continuously compounded force of interest in percent
Duration in years
分步代入计算过程
Continuous compounding represents the mathematical limit of discrete compounding as the number of periods per year approaches infinity, governed by Euler's constant e: A = P × e^((r/100)t).
常见参考标准值
Standard continuous risk-free rate convention in derivatives
Equivalent discrete annual rate for continuous rate r
Exact ln(2) doubling constant
20 行数值对照表
Terminal Balance (A) · Initial Principal (P)
| # | Initial Principal ($) | Terminal Balance ($) | Δ % |
|---|---|---|---|
| 01 | 100 $ | 182.2119 $ | -99.00% |
| 02 | 10,000.00 $当前 | 18,221.19 $ | 0.00% |
| 03 | 15,614.34 $ | 28,451.19 $ | +56.14% |
| 04 | 23,371.51 $ | 42,585.67 $ | +133.72% |
| 05 | 31,128.68 $ | 56,720.16 $ | +211.29% |
| 06 | 38,885.86 $ | 70,854.65 $ | +288.86% |
| 07 | 46,643.03 $ | 84,989.14 $ | +366.43% |
| 08 | 54,400.20 $ | 99,123.62 $ | +444.00% |
| 09 | 62,157.37 $ | 113,258.11 $ | +521.57% |
| 10 | 69,914.54 $ | 127,392.60 $ | +599.15% |
| 11 | 77,671.71 $ | 141,527.08 $ | +676.72% |
| 12 | 85,428.88 $ | 155,661.57 $ | +754.29% |
| 13 | 93,186.05 $ | 169,796.06 $ | +831.86% |
| 14 | 100,943.22 $ | 183,930.55 $ | +909.43% |
| 15 | 108,700.39 $ | 198,065.03 $ | +987.00% |
| 16 | 116,457.57 $ | 212,199.52 $ | +1064.58% |
| 17 | 124,214.74 $ | 226,334.01 $ | +1142.15% |
| 18 | 131,971.91 $ | 240,468.49 $ | +1219.72% |
| 19 | 139,729.08 $ | 254,602.98 $ | +1297.29% |
| 20 | 147,486.25 $ | 268,737.47 $ | +1374.86% |
常见问题解答 (FAQ)
如何使用在线 连续复利 (A = Pe^rt) 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 连续复利 (A = Pe^rt) 计算器（基于关系式 A = P × e^((r / 100) × t)）。求解连续复利方程 A = P × e^(rt) 中的期末总金额、初始本金、连续复利利率或投资时间。
可以导出或打印 连续复利 (A = Pe^rt) 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 连续复利 (A = Pe^rt) 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。