03 // 双向 STEM 与金融计算器 // 统计推断、概率分布与风险指标计算器S = (R_p - R_f) / σ_p

夏普比率(风险调整后收益)计算器

根据 S = (R_p - R_f) / σ_p 测算年化夏普比率、投资组合收益率 R_p、无风险利率 R_f 或年化波动率 σ_p。

S = (R_p - R_f) / σ_p
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: S — Annualized Sharpe Ratio
计算结果

Excess return per unit of total volatility

-35
unit

Annualized portfolio return in percent

-30100
%

Annualized Treasury bill / risk-free yield in percent

020
%

Annualized standard deviation of returns in percent

0.5100
%
计算结果 · Annualized Sharpe Ratio (S)
0.55

分步代入计算过程

01Canonical Law: S = (R_p - R_f) / σ_p
02Given Inputs (Base Units): R_p (%) = 12.45, R_f (%) = 4.2, σ_p (%) = 15
03Solve for S (Annualized Sharpe Ratio): S = 0.55

Nobel laureate William Sharpe's ratio measures excess portfolio return over the risk-free rate (R_p - R_f) per unit of annualized return standard deviation σ_p: S = (R_p - R_f) / σ_p.

常见参考标准值

Long-Run S&P 500 Equity IndexSharpe ≈ 0.45 – 0.60

~6% equity risk premium over ~15% annual volatility

Top-Quartile Multi-Asset / QuantSharpe ≥ 1.00 – 1.50

Strong diversification across uncorrelated strategies

High-Frequency / Market NeutralSharpe ≥ 2.00

Low directional market beta exposure

20 行数值对照表

Annualized Sharpe Ratio (S) · Expected Portfolio Return (R_p (%))

Sharpe Ratio Risk-Adjusted Return Calculator — Expected Portfolio Return → Annualized Sharpe Ratio
#Expected Portfolio Return (R_p (%))Annualized Sharpe Ratio (S)Δ %
01-2.175 -0.425 -177.27%
02-0.464474 -0.310965 -156.54%
031.2461 -0.19693 -135.81%
042.9566 -0.082895 -115.07%
054.6671 0.03114 -94.34%
066.3776 0.145175 -73.60%
078.0882 0.259211 -52.87%
089.7987 0.373246 -32.14%
0911.5092 0.487281 -11.40%
1012.45 当前0.55 0.00%
1114.9303 0.715351 +30.06%
1216.6408 0.829386 +50.80%
1318.3513 0.943421 +71.53%
1420.0618 1.0575 +92.26%
1521.7724 1.1715 +113.00%
1623.4829 1.2855 +133.73%
1725.1934 1.3996 +154.47%
1826.9039 1.5136 +175.20%
1928.6145 1.6276 +195.93%
2030.325 1.7417 +216.67%
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常见问题解答 (FAQ)

如何使用在线 夏普比率(风险调整后收益)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 夏普比率(风险调整后收益)计算器(基于关系式 S = (R_p - R_f) / σ_p)。根据 S = (R_p - R_f) / σ_p 测算年化夏普比率、投资组合收益率 R_p、无风险利率 R_f 或年化波动率 σ_p。

可以导出或打印 夏普比率(风险调整后收益)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 夏普比率(风险调整后收益)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。