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