How Sensitive Is Your Asset to Market Movements?
The Asset Beta Calculator measures systematic risk using three methods — CAPM, Regression, and Volatility. With a 12% asset return, 3% risk-free rate, and 10% market return, the CAPM beta is 1.286 — indicating the asset is 28.6% more volatile than the market. Systematic risk is 49.0% (based on 0.70 correlation), meaning about half the asset's variance is market-driven.
Three Beta Calculation Methods
Each method uses different inputs and produces different beta values:
CAPM: β = (Asset Return - Risk-Free Rate) / (Market Return - Risk-Free Rate)
Regression: β = Correlation x (Asset Volatility / Market Volatility)
Volatility: β = Asset Volatility / Market Volatility
Additional metrics:
CAPM Expected Return = Risk-Free Rate + β x Market Premium
Treynor Ratio = (Asset Return - Risk-Free Rate) / β
Systematic Risk = Correlation² x 100
Example: Stock Beta via CAPM
12% asset return, 3% risk-free rate, 10% market return, 18% asset volatility, 15% market volatility, 0.70 correlation:
| Metric | Value | Context |
|---|---|---|
| Asset Beta (CAPM) | 1.286 | Aggressive — 28.6% above market |
| CAPM Expected Return | 12.00% | Matches input (0% alpha) |
| Systematic Risk | 49.0% | Significant market exposure |
| Regression Beta | 0.840 | Conservative — accounts for 0.70 correlation |
| Volatility Beta | 1.200 | Simple ratio — ignores correlation |
| Treynor Ratio | 7.00 | Good risk-adjusted efficiency |
| Volatility Ratio | 1.20x | 20% more volatile than market |
| Market Premium | 7.00% | 10% market - 3% risk-free |
The three methods produce betas ranging from 0.840 to 1.286. CAPM (1.286) is highest because it assumes the full 9% excess return is compensation for systematic risk. Regression (0.840) is lowest because it discounts for the 0.70 imperfect correlation — only 70% of the asset's volatility moves with the market.
Why the Methods Disagree
CAPM derives beta purely from returns — it's forward-looking and assumes efficient markets. Regression incorporates correlation, capturing how tightly the asset actually co-moves with the market. Volatility is the simplest, comparing raw standard deviations without considering direction. For this stock, the 0.70 correlation is the key differentiator: it tells us 30% of the asset's volatility is independent of the market, which Regression captures but CAPM and Volatility ignore.
