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Portfolio Beta Calculator

Measure your portfolio's systematic risk and volatility relative to market benchmarks

Portfolio Composition

Total Portfolio Weight:100.0%

Portfolio Beta Results

1.020
Portfolio Beta (β)
Moderate Risk

Risk Assessment

Portfolio is more volatile than market

Expected Movement

If market gains 10%: +10.2%

If market loses 10%: -10.2%

Normalized Portfolio Breakdown

Stock 1
50.0%β = 1Contribution: 0.500
Stock 2
30.0%β = 1.2Contribution: 0.360
Stock 3
20.0%β = 0.8Contribution: 0.160
Portfolio Beta:1.020

Portfolio Beta Formula

βₚ = β₁ × ω₁ + β₂ × ω₂ + ... + βₙ × ωₙ

βₚ: Portfolio Beta

βₙ: Beta of the nth stock

ωₙ: Weight (allocation percentage) of the nth stock

Note: Portfolio beta is calculated as the weighted average of individual stock betas, where weights represent the proportion of each stock in the portfolio.

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Example Portfolio

Balanced Portfolio Example

Fortinet: β=1.12, ω=50%

Johnson & Johnson: β=0.7, ω=25%

SPY (Market): β=1.0, ω=25%

Calculation

βₚ = 1.12×0.5 + 0.7×0.25 + 1.0×0.25

βₚ = 0.56 + 0.175 + 0.25

βₚ = 0.985

Portfolio is 1.5% less volatile than market

Beta Interpretation

β < 0: Negative Beta

Moves opposite to market

β = 0: No Correlation

Independent of market moves

0 < β < 1: Defensive

Less volatile than market

β = 1: Market Risk

Moves with market exactly

β > 1: Aggressive

More volatile than market

Understanding Portfolio Beta

What is Portfolio Beta?

Portfolio beta measures the systematic risk of your investment portfolio relative to the overall market. It indicates how much your portfolio's value will move in relation to market movements.

Why is it Important?

  • Measures systematic risk that cannot be diversified away
  • Helps in asset allocation and risk management
  • Used in CAPM for expected return calculations
  • Aids in portfolio optimization and diversification

Calculation Method

Portfolio beta is calculated as the weighted average of individual asset betas, where weights represent the proportion of each asset in the portfolio.

Key Considerations

  • Beta coefficients should be calculated using sufficient historical data
  • Portfolio weights must sum to 100% for accurate calculation
  • Beta values change over time and should be updated regularly
  • Consider correlation between assets for complete risk assessment
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