Calculate the Weighted Average Beta for the Portfolio

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Weighted Average Beta Calculator | Calculate Portfolio Risk :root { –primary: #004a99; –secondary: #003366; –success: #28a745; –light-bg: #f8f9fa; –border: #dee2e6; –text: #333333; –white: #ffffff; –shadow: 0 4px 6px rgba(0,0,0,0.1); } * { box-sizing: border-box; margin: 0; padding: 0; } body { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; line-height: 1.6; color: var(–text); background-color: var(–light-bg); } .container { max-width: 960px; margin: 0 auto; padding: 20px; } /* Typography */ h1 { color: var(–primary); font-size: 2.5rem; margin-bottom: 1.5rem; text-align: center; } h2 { color: var(–secondary); font-size: 1.8rem; margin-top: 2.5rem; margin-bottom: 1rem; border-bottom: 2px solid var(–border); padding-bottom: 10px; } h3 { color: var(–primary); font-size: 1.4rem; margin-top: 1.5rem; margin-bottom: 0.8rem; } p { margin-bottom: 1rem; } /* Calculator Styles */ .calculator-wrapper { background: var(–white); padding: 30px; border-radius: 8px; box-shadow: var(–shadow); margin-bottom: 40px; border-top: 5px solid var(–primary); } .calc-header { margin-bottom: 20px; text-align: center; } .input-grid { display: block; /* Single column enforcement */ } .asset-row { background: #f1f3f5; padding: 15px; border-radius: 6px; margin-bottom: 15px; border: 1px solid var(–border); } .asset-row h4 { margin-bottom: 10px; color: var(–secondary); font-size: 1rem; } .row-inputs { display: flex; flex-wrap: wrap; gap: 15px; } .input-group { flex: 1 1 200px; display: flex; flex-direction: column; } .input-group label { font-weight: 600; margin-bottom: 5px; font-size: 0.9rem; color: var(–text); } .input-group input { padding: 10px; border: 1px solid #ccc; border-radius: 4px; font-size: 1rem; } .input-group input:focus { outline: none; border-color: var(–primary); box-shadow: 0 0 0 2px rgba(0,74,153,0.1); } .helper-text { font-size: 0.8rem; color: #666; margin-top: 4px; } .error-msg { color: #dc3545; font-size: 0.8rem; margin-top: 4px; display: none; } .btn-group { display: flex; gap: 10px; margin-top: 20px; justify-content: center; } .btn { padding: 12px 24px; border: none; border-radius: 4px; font-weight: 600; cursor: pointer; font-size: 1rem; transition: background 0.2s; } .btn-reset { background: #6c757d; color: white; } .btn-reset:hover { background: #5a6268; } .btn-copy { background: var(–primary); color: white; } .btn-copy:hover { background: var(–secondary); } /* Results Section */ .results-section { margin-top: 30px; background: #e9ecef; padding: 20px; border-radius: 6px; } .main-result { text-align: center; background: var(–primary); color: white; padding: 20px; border-radius: 6px; margin-bottom: 20px; } .main-result .label { font-size: 1.1rem; opacity: 0.9; margin-bottom: 5px; } .main-result .value { font-size: 3rem; font-weight: 700; } .main-result .interpretation { font-size: 1rem; margin-top: 10px; font-weight: 500; background: rgba(255,255,255,0.2); display: inline-block; padding: 4px 12px; border-radius: 20px; } .metrics-grid { display: flex; flex-wrap: wrap; gap: 15px; margin-bottom: 20px; } .metric-card { flex: 1 1 150px; background: white; padding: 15px; border-radius: 4px; text-align: center; box-shadow: 0 2px 4px rgba(0,0,0,0.05); } .metric-card .m-label { font-size: 0.85rem; color: #666; margin-bottom: 5px; } .metric-card .m-value { font-size: 1.25rem; font-weight: 700; color: var(–primary); } /* Charts & Tables */ .chart-container { background: white; padding: 20px; border-radius: 6px; margin-top: 20px; text-align: center; } canvas { max-width: 100%; height: auto; margin: 0 auto; } .data-table-wrapper { margin-top: 20px; overflow-x: auto; } table { width: 100%; border-collapse: collapse; background: white; font-size: 0.9rem; } th, td { padding: 12px; text-align: left; border-bottom: 1px solid var(–border); } th { background-color: var(–primary); color: white; } tr:nth-child(even) { background-color: #f8f9fa; } /* Article Content */ .article-content { background: var(–white); padding: 30px; border-radius: 8px; box-shadow: var(–shadow); } .variable-table { width: 100%; margin: 20px 0; border: 1px solid var(–border); } .variable-table th { background: var(–secondary); } ul, ol { margin-left: 20px; margin-bottom: 1.5rem; } li { margin-bottom: 0.5rem; } .related-links { background: #f1f3f5; padding: 20px; border-radius: 6px; margin-top: 30px; } .related-links a { display: inline-block; margin-right: 15px; margin-bottom: 10px; color: var(–primary); text-decoration: none; font-weight: 600; } .related-links a:hover { text-decoration: underline; } @media (max-width: 600px) { .main-result .value { font-size: 2.5rem; } .row-inputs { flex-direction: column; gap: 10px; } }

Weighted Average Beta Calculator

Accurately calculate the weighted average beta for your investment portfolio. Assess your systematic risk exposure relative to the market benchmark.

Portfolio Assets

Enter the current market value ($) and beta coefficient for up to 5 assets.

Asset 1

Current value of holding
Stock/Fund Beta

Asset 2

Asset 3

Asset 4

Asset 5

Weighted Average Beta
0.00
Waiting for input…
Total Portfolio Value
$0
Highest Asset Beta
0.00
Lowest Asset Beta
0.00
Asset Value ($) Weight (%) Beta Weighted Contribution
Enter values above to see breakdown

Portfolio Weight Allocation

Visual representation of asset weights in the portfolio.

Formula Used: Portfolio Beta = Σ (Asset Weight × Asset Beta). The weight is calculated as the individual asset value divided by the total portfolio value.

What is Weighted Average Beta?

Weighted Average Beta is a financial metric used to measure the overall volatility or systematic risk of an investment portfolio relative to a benchmark index, such as the S&P 500. While individual stocks have their own beta coefficients indicating their sensitivity to market movements, a portfolio's beta is the aggregate of these values, weighted by the capital allocated to each asset.

Investors use this metric to determine if their portfolio is aggressive (high risk, high potential return) or defensive (low risk, stability). A portfolio with a weighted average beta of 1.0 moves in sync with the market. A beta greater than 1.0 suggests higher volatility, while a beta less than 1.0 suggests lower volatility.

This calculation is essential for portfolio managers, financial advisors, and individual investors who practice modern portfolio theory and wish to align their investments with their risk tolerance.

Weighted Average Beta Formula and Mathematical Explanation

The calculation for the weighted average beta is straightforward but requires precise data on the current market value and beta of each holding.

βp = Σ (wi × βi)

Where:

  • βp = Portfolio Beta
  • wi = Weight of asset i (Market Value of Asset i / Total Portfolio Value)
  • βi = Beta coefficient of asset i

Variables Table

Variable Meaning Unit Typical Range
Market Value ($) Current dollar value of the holding USD ($) > 0
Weight (%) Percentage of total portfolio Percentage (%) 0% to 100%
Beta (β) Measure of volatility vs market Numeric -1.0 to 3.0+

Practical Examples

Example 1: A Tech-Heavy Aggressive Portfolio

An investor holds two stocks. Stock A is a volatile tech stock worth $10,000 with a beta of 1.5. Stock B is a utility stock worth $5,000 with a beta of 0.6.

  • Total Value: $15,000
  • Weight Stock A: $10,000 / $15,000 = 66.7%
  • Weight Stock B: $5,000 / $15,000 = 33.3%
  • Calculation: (0.667 × 1.5) + (0.333 × 0.6) = 1.0 + 0.2 = 1.2

Result: The portfolio beta is 1.2, meaning it is theoretically 20% more volatile than the market.

Example 2: A Balanced Defensive Portfolio

An investor wants stability. They hold $20,000 in a market index fund (Beta 1.0) and $20,000 in a bond ETF (Beta 0.1).

  • Weights: 50% Index, 50% Bonds.
  • Calculation: (0.5 × 1.0) + (0.5 × 0.1) = 0.5 + 0.05 = 0.55

Result: The portfolio beta is 0.55, indicating it is significantly less volatile than the stock market.

How to Use This Weighted Average Beta Calculator

  1. Gather Data: Log in to your brokerage account to find the current market value ($) and the beta for each of your holdings.
  2. Enter Values: Input the market value and beta for up to 5 individual assets in the fields above.
  3. Review Weights: As you type, the tool will automatically calculate the weight of each asset based on the total value.
  4. Analyze Result: Look at the highlighted "Weighted Average Beta" result.
    • < 1.0: Low volatility (Defensive)
    • 1.0: Market average volatility
    • > 1.0: High volatility (Aggressive)

Key Factors That Affect Weighted Average Beta

Several variables can influence the outcome of your weighted average beta calculation:

  • Asset Allocation: The proportion of money allocated to high-beta stocks versus low-beta stocks is the primary driver. A single high-beta stock with a large weight can skew the entire portfolio.
  • Sector Exposure: Cyclical sectors (like Technology or Consumer Discretionary) typically have higher betas, while defensive sectors (like Utilities or Consumer Staples) have lower betas.
  • Leverage: Using margin magnifies risk, though strictly speaking, beta measures asset volatility. Leveraged ETFs often have very high betas (e.g., 2.0 or 3.0).
  • Cash Position: Cash has a beta of 0. Holding a large percentage of cash will lower your weighted average beta, dampening overall volatility.
  • Market Conditions: Beta is not static. During market crashes, correlations often converge to 1, potentially changing the effective beta of assets that were previously uncorrelated.
  • Time Horizon: Betas are historical measures (typically 3-year or 5-year). They may not perfectly predict future volatility, especially if a company's fundamentals change.

Frequently Asked Questions (FAQ)

1. What is a "good" weighted average beta?

There is no "good" or "bad" beta; it depends on your goals. Aggressive investors seeking growth may prefer a beta > 1.2, while retirees often prefer a beta between 0.5 and 0.8 for capital preservation.

2. Can a portfolio have a negative beta?

Yes. If you hold assets that are inversely correlated to the market (like inverse ETFs or put options), your weighted average beta can be negative. This means the portfolio generally rises when the market falls.

3. How often should I calculate my portfolio beta?

It is good practice to recalculate quarterly or whenever you rebalance your portfolio, as changes in stock prices alter the weights of your holdings.

4. Does beta measure all types of risk?

No. Beta only measures systematic risk (market risk). It does not account for unsystematic risk (specific company risks like management failure or lawsuits). Diversification helps mitigate unsystematic risk.

5. Why does my beta change even if I don't trade?

Because the market values of your holdings change daily. If your high-beta stocks rally, they become a larger percentage of your portfolio, naturally increasing your weighted average beta.

6. Is a beta of 1.0 safe?

A beta of 1.0 carries the same risk as the overall stock market. While "safer" than a beta of 2.0, it is not risk-free. The market can still drop significantly.

7. Where can I find the beta for my stocks?

Most financial news websites and brokerage platforms list the "Beta (5Y Monthly)" or similar metrics on the stock's summary page.

8. How accurate is beta as a predictor?

Beta is based on historical data. While useful for gauging relative risk, past performance does not guarantee future results.

Related Tools and Internal Resources

Enhance your investment analysis with our other financial tools:

© 2023 Financial Tools Inc. All rights reserved.
Disclaimer: This calculator is for educational purposes only and does not constitute financial advice.
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