Calcipedia

Portfolio Beta Calculator

Calculate the weighted average beta of a multi-asset portfolio from individual betas and allocation weights, then review each asset's contribution to systematic risk.

Last updated

Also in Saving & Investing

529 Calculator After-tax Cost of Debt Calculator Altman Z-Score Calculator Annuity Calculator APR to APY Calculator APY Calculator Basis Point Calculator Black Scholes Calculator Bond Convexity Calculator Bond Current Yield Calculator Bond Equivalent Yield Calculator Bond Price Calculator Bond Yield Calculator Bond YTM Calculator Budget Calculator CAGR Calculator Call Option Calculator Capital Gains Yield Calculator Carried Interest Calculator CD Calculator College Cost Calculator Compound Growth Calculator Compound Interest Calculator Compound Interest Rate Calculator Cost of Capital Calculator Cost of Equity Calculator Coupon Payment Calculator Coupon Rate Calculator Credit Spread Calculator Crypto Profit Calculator Current Ratio Calculator DCF Calculator Debt Service Coverage Ratio Calculator Debt to Asset Ratio Calculator Debt to Equity Calculator Debt-to-Capital Ratio Calculator Defensive Interval Ratio Calculator Discount Rate Calculator Dividend Calculator Dividend Discount Model Calculator Dividend Payout Ratio Calculator Dividend Yield Calculator Dollar Cost Averaging Calculator DRIP Calculator DuPont Analysis Calculator Earnings per Share Calculator Earnings Per Share Growth Calculator EBITDA Multiple Calculator Economic Value Added Calculator Effective Annual Yield Calculator Effective Duration Calculator Effective Interest Rate Calculator Enterprise Value Calculator Equivalent Rate Calculator EV to Sales Calculator Expense Ratio Calculator FIRE Calculator Forward Premium Calculator Forward Rate Calculator Free Float Calculator Future Value Calculator Futures Contracts Calculator Graham Number Calculator Interest Calculator Interest Coverage Ratio Calculator Interest Rate Calculator Intrinsic Value Calculator Inventory Turnover Calculator Investment Calculator LGD Calculator Liquid Net Worth Calculator Margin Call Calculator Margin Interest Calculator Margin of Safety Calculator Market Capitalization Calculator Maturity Value Calculator Maximum Drawdown Calculator Millionaire Calculator Money Market Account Calculator Moving Average Calculator NAV Calculator Net Worth Calculator Operating Cash Flow Ratio Calculator Options Profit Calculator Options Spread Calculator PEG Ratio Calculator Position Size Calculator Present Value Calculator Price to Book Ratio Calculator Price to Cash Flow Ratio Calculator Price to Earnings Ratio Calculator Price to Sales Ratio Calculator Put Call Parity Calculator Quick Ratio Calculator Real Rate Of Return Calculator Residual Income Calculator Retention Ratio Calculator Return on Assets Calculator ROI Calculator ROIC Calculator Savings Calculator Savings Goal Calculator Savings Plan Calculator Stock Calculator Stock Profit Calculator Stock Split Calculator Sustainable Growth Rate Calculator Tax Equivalent Yield Calculator Times Interest Earned Ratio Calculator Unlevered Beta Calculator Yield to Call Calculator Yield to Maturity Calculator

You may also need

← All Saving & Investing calculators

Portfolio Analytics

Portfolio beta explained: formula, weighted calculation, and risk interpretation

Portfolio beta measures the weighted average systematic risk of a collection of investments relative to the market. It tells investors how sensitive their combined holdings are to broad market movements.

What portfolio beta measures

Beta measures an asset's sensitivity to market movements. A beta of 1.0 means the asset moves in line with the market. Above 1.0 means more volatile; below 1.0 means less volatile.

Portfolio beta is the weighted average of individual asset betas, where weights reflect each asset's share of the total portfolio value.

Formula

Sum the product of each asset's weight and beta across all holdings.

Portfolio Beta = Σ (weight_i × beta_i)

Where weight_i is the fraction of the portfolio invested in asset i, and beta_i is the asset's beta relative to the market index.

Worked example

A portfolio holds 40% Stock A (β = 1.2), 35% Stock B (β = 0.8), and 25% Stock C (β = 1.5). Portfolio Beta = 0.40 × 1.2 + 0.35 × 0.8 + 0.25 × 1.5 = 0.48 + 0.28 + 0.375 = 1.135.

Interpreting portfolio beta

A portfolio beta above 1.0 is more volatile than the market — it amplifies both gains and losses. Below 1.0, the portfolio is more defensive. A beta near zero (e.g. a pure bond portfolio) has minimal systematic equity risk.

Beta only captures systematic (market) risk. It does not measure unsystematic risk, which can be diversified away.

Limitations

Beta is backward-looking — calculated from historical returns. Future beta may differ. Does not capture non-linear risks, tail risks, or sector concentration.

Frequently asked questions

Do portfolio weights need to sum to 100%?

Yes, for an accurate portfolio beta. If weights sum to less than 100%, the remainder is implicitly in cash (beta = 0). The calculator warns if weights do not sum to 100%.

Can portfolio beta be negative?

Yes, if enough assets have negative betas (e.g. inverse ETFs or certain commodities). A negative portfolio beta means the portfolio tends to move opposite to the market.

Where do I find individual stock betas?

Most financial data providers (Yahoo Finance, Bloomberg, Reuters) publish beta estimates. Be aware that beta varies depending on the estimation period, frequency, and benchmark index used.

How is portfolio beta used in practice?

Portfolio managers use beta to control the portfolio's market sensitivity. A defensive strategy targets beta below 1.0; an aggressive growth strategy may target beta above 1.0.

Related

More from nearby categories

These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.