平均 return calculator
Arithmetic 和 geometric average yearly returns、with volatility、第 grow 次 a starting sum.
关于平均 return calculator
Arithmetic 和 geometric average yearly returns、with volatility、第 grow 次 a starting sum.
属于 SmartCalcy“投资与储蓄”板块。它在你的浏览器中运行，无需账号，使用你自己的货币和单位（可在页面顶部更改），所给结果仅为估算、仅供参考，因此在依赖结果之前请查阅官方指引。
如何使用平均 return calculator
它计算什么，何时使用
Averages a series yearly investment returns 和 shows the difference between the simple average 和 the compound average, which 是 the one that matches what your money actually earned.
使用步骤
- Enter the starting 数值.
- Enter 每件 year’s return as a 百分比, using a negative 数字件a 亏损.
- Add 或 remove 年.
各输入项的含义
- 每年 return – that 年份, including losses. 的 The 百分比 变化
如何阅读结果
- Arithmetic 平均 – The simple 平均值 the returns.
- Geometric 平均 – The compound 每年 利率 that gives the same final 数值.
- Volatility – The sample standard deviation the returns.
公式
Geometric 平均 = (Π (1 + rᵢ))^(1 ÷ n) − 1. Arithmetic 平均 = Σ rᵢ ÷ n. Volatility = √(Σ (rᵢ − 平均值)² ÷ (n − 1)).
计算示例
Returns 12%、−8%, 15%, 6%、9% have an arithmetic average 6.8% but a geometric average 6.48%. 10,000 grows to 13,691.03, a total return 36.91%, with a volatility of 8.93%.
假设与局限
- Annual returns are shown after charges only if you enter them that way.
- Past returns 操作 not predict future returns.
常见错误
- Using the simple 平均 至 project growth. It overstates compound returns.
- Entering −100% 或 worse, which wipes out the investment.
常见问题
Why 是 the geometric 平均 lower?
A 亏损 reduces the 底 on which the next 收益 是 第 earned, so volatility drags down compound grow 次.
相关工具
详情
- Arithmetic 平均
- 6.8%
- Geometric (compound) 平均
- 6.48%the 利率 that gives the same final 数值
- 总计 return
- 36.91%
- Volatility (standard deviation)
- 8.93%
- Final 数值
- £13,691.03
- Best 和 worst 年份
- 15% / -8%
数值 after 每件 年份
| 年份 | Return | 数值 |
|---|---|---|
| 1 | 12% | £11,200 |
| 2 | -8% | £10,304 |
| 3 | 15% | £11,850 |
| 4 | 6% | £12,561 |
| 5 | 9% | £13,691 |