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Portfolio Beta Calculator

Calculate the overall weighted beta and systematic risk of your investment portfolio based on individual stock betas and portfolio allocation weights.

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Understanding Portfolio Beta

Portfolio beta is a measure of the systematic risk or volatility of an entire investment portfolio relative to the broader market (typically represented by a major index like the S&P 500). A portfolio beta of 1.0 indicates that the portfolio moves in tandem with the market, while a beta greater than 1.0 means the portfolio is more volatile than the market.

How to Calculate Portfolio Beta

The beta of a portfolio is calculated as the weighted average of the individual betas of all assets held within the portfolio:

$$\beta_p = \sum_{i=1}^n \left( w_i \times \beta_i \right)$$

Where:

  • $w_i$ is the weight of asset $i$ (calculated as the dollar value of asset $i$ divided by the total portfolio value).
  • $\beta_i$ is the individual beta coefficient of asset $i$.
  • $n$ is the total number of assets in the portfolio.

Interpreting Your Portfolio Beta

Analyzing portfolio risk helps investors align their asset allocation with their personal risk tolerance:

  • Beta < 1.0: Defensive portfolio with lower market volatility (e.g. utility stocks, consumer staples, healthcare).
  • Beta = 1.0: Portfolio moves equally with overall market fluctuations.
  • Beta > 1.0: Aggressive portfolio with higher market volatility and sensitivity (e.g. high-growth tech stocks, speculative equities).

You can also evaluate single asset risk using our Stock Beta Calculator or compute expected returns with the CAPM Calculator.

Frequently Asked Questions

What is a good portfolio beta?

A "good" portfolio beta depends on your investment strategy. Conservative or risk-averse investors usually aim for a beta below 1.0 (such as 0.6 to 0.8), while growth-focused investors willing to accept market swings may target a portfolio beta above 1.2.

How does adding cash affect portfolio beta?

Cash has a beta of 0.0 because cash holdings do not fluctuate with stock market price movements. Adding cash to a portfolio reduces the overall portfolio beta and lowers overall volatility.

What is the difference between individual beta and portfolio beta?

Individual beta measures the market risk of a single stock or asset, whereas portfolio beta combines the individual betas weighted by each asset's proportional dollar allocation in the portfolio.

Can a portfolio beta be negative?

Yes, if a portfolio contains inverse ETFs, gold, or short positions that move counter to the general stock market direction, the portfolio beta can be negative.