Sharpe Ratio Calculator公式

## The Sharpe Ratio

Developed by Nobel laureate William Sharpe, this ratio measures the excess return per unit of total risk.

### Formula

**Sharpe Ratio = (Rp - Rf) / Std Dev**

Where:
- **Rp** = Portfolio return
- **Rf** = Risk-free rate (typically T-bill yield)
- **Std Dev** = Standard deviation of portfolio returns

### Interpreting Results

The higher the Sharpe ratio, the better the risk-adjusted performance. Use it to compare investments, not in isolation.

### Limitations

- Assumes returns are normally distributed
- Does not distinguish between upside and downside volatility
- Sensitive to the time period chosen

计算示例

10% average return, 4.5% risk-free rate, 12% volatility.

  1. Excess return = 10% - 4.5% = 5.5%
  2. Sharpe ratio = 5.5% / 12% = 0.458
  3. This is a moderate risk-adjusted return
  4. For comparison, the S&P 500 has a long-run Sharpe near 0.4-0.5