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Asset Beta Calculator

Enter your asset returns, volatility, and market data to calculate beta and key risk metrics including CAPM expected return, Treynor ratio, and systematic risk percentage.
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Luis GonzalezCreated by Luis GonzalezLast updated:

How to Use This Calculator

  1. 1

    Enter Risk & Return Data

    Select calculation method (CAPM, Regression, or Volatility) and asset type, then input asset return, risk-free rate, market return, asset/market volatility, and correlation coefficient.

  2. 2

    Review Results

    See Asset Beta, CAPM Expected Return, and Systematic Risk cards. The Insights panel shows Treynor ratio, volatility ratio, market correlation, market premium, alpha vs CAPM, and calculation method used.

Example Calculation

An analyst calculates the beta of a stock with 12% expected return, 3% risk-free rate, 10% market return, 18% asset volatility, 15% market volatility, and 0.70 correlation using the CAPM method.

Asset Expected Return (%)

12

Risk-Free Rate (%)

3

Market Expected Return (%)

10

Asset Volatility (%)

18

Market Volatility (%)

15

Correlation Coefficient

0.70

Calculation Method

CAPM

Asset Type

Stock

Results

Asset Beta

1.286

CAPM Expected Return

12.00%

Systematic Risk

49.0%

Insights card shows 7.

Tips

1.286 Beta Means 28.6% More Volatile Than the Market

If the market drops 10%, this stock is expected to drop 12.86%. If the market rises 10%, the stock rises 12.86%. To reduce beta to 1.0 (market-neutral), the stock's excess return would need to match the market premium exactly — 7% instead of 9%.

Three Methods Give Three Different Betas — CAPM: 1.286, Regression: 0.840, Volatility: 1.200

CAPM uses returns only (9% excess / 7% premium = 1.286). Regression factors in the 0.70 correlation (0.70 x 1.20 = 0.840). Volatility ignores correlation (18/15 = 1.200). Use CAPM for forward-looking estimates, Regression for historical analysis.

49% Systematic Risk Means Half the Volatility Is Diversifiable

R-squared of 0.49 (correlation² = 0.70²) means only 49% of this stock's variance comes from market movements. The other 51% is idiosyncratic risk that can be eliminated through diversification. A well-diversified portfolio reduces exposure to this company-specific risk.

Treynor Ratio of 7.00 Shows Good Risk-Adjusted Efficiency

Treynor = excess return / beta = 9% / 1.286 = 7.00. Above 4 is good, above 8 is excellent. Increasing the asset return by 1% (to 13%) would raise Treynor to 7.69, while reducing beta to 1.0 would raise it to 9.00.

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
💡 For a comprehensive view of risk-adjusted portfolio performance including Sharpe, Sortino, and Jensen's Alpha alongside beta, try our Asset Management Ratio Calculator.

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.

💡 To evaluate how efficiently your company's assets generate revenue rather than measuring market risk, our Asset Turnover Calculator provides operational efficiency metrics.

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.

Frequently Asked Questions

What is Asset Beta?

A measure of systematic (market) risk. Beta of 1.286 means the asset is 28.6% more volatile than the market. Beta = 1.0 matches the market, below 1.0 is less volatile, above 1.0 is more volatile. It quantifies how much an asset's returns move with the broader market.

How does CAPM calculate beta?

(Asset Return - Risk-Free Rate) / (Market Return - Risk-Free Rate). With 12% asset, 3% risk-free, 10% market: (12-3)/(10-3) = 9/7 = 1.286. This method derives beta from expected returns rather than historical price data.

When should I use Regression vs CAPM?

Use CAPM when you have forward-looking return estimates. Use Regression when you have historical return data and correlation — it produces 0.840 here because it accounts for the 0.70 correlation (not perfect co-movement). Regression beta is typically lower and more conservative.

What is systematic risk?

Market risk that cannot be diversified away. At 49% (correlation squared), about half this stock's variance comes from market movements. The rest is unsystematic (company-specific) risk. A portfolio of 30+ uncorrelated stocks can eliminate most unsystematic risk.

What does the Treynor Ratio measure?

Excess return per unit of systematic risk: (Asset Return - Risk-Free Rate) / Beta = 9% / 1.286 = 7.00. Unlike the Sharpe Ratio (which uses total volatility), Treynor uses only market risk, making it better for assets held in diversified portfolios.

How does correlation affect beta?

Correlation directly scales the Regression beta: 0.70 x (18/15) = 0.840. With perfect correlation (1.0), Regression beta equals the Volatility beta (1.200). Lower correlation means lower beta — a stock with 0.30 correlation would have Regression beta of just 0.360, despite the same volatility ratio.