Portfolio Beta Calculator - Systematic Risk & CAPM Expected Return

The thermometer that reads how much your portfolio shakes when the market shivers

Beta strips away the noise and gives you one number: how much of the market's movement your asset absorbs. A beta of 1.0 means the asset tracks the index almost perfectly. A beta of 1.4 means it amplifies every swing by 40% - up and down. A beta of 0.6 means it only picks up 60% of the market's volatility, cushioning the ride. The formula is simple: multiply the correlation between the asset and the market by the asset's standard deviation, then divide by the market's standard deviation.

How to use this calculator - step by step

Asset standard deviation - find the annualized volatility of your stock or fund. Most brokers show this under "risk" or "statistics." S&P 500 ETFs typically show 15-18%, individual growth stocks 30-50%.
Market standard deviation - the volatility of your benchmark index. For the S&P 500, use 16% as a reasonable long-term average. In volatile years (2020, 2022), it climbs to 20-25%.
Correlation with market - how closely the asset follows the benchmark. Ranges from -1 (perfectly inverse) to +1 (identical movement). Most stocks fall between 0.4 and 0.8.
Expected market return (optional) - fill this in to get a CAPM expected return. Historical S&P 500: ~10% nominal.
Risk-free rate (optional) - the current Treasury yield. US 10Y bonds: ~4.3% as of mid-2026.
Read the result - you get the beta value, a risk classification (Defensive to Speculative), and if you filled in CAPM fields, the expected return and risk premium.

Beta values for common asset classes

Not all assets carry the same systematic risk. The table below shows typical beta ranges you will encounter:

Asset class	Typical beta	Why
US Treasury bonds	0.0 - 0.1	Nearly zero correlation with equities
Gold	-0.1 - 0.2	Negative in crises, low otherwise
Utility stocks (e.g. Duke Energy)	0.3 - 0.5	Stable revenue, low growth expectations
S&P 500 ETF (VOO, SPY)	1.0	By definition - it IS the market
Large-cap tech (Apple, Microsoft)	1.0 - 1.3	Market leaders but growth-driven valuation
Small-cap growth (Russell 2000)	1.2 - 1.5	Higher uncertainty, less analyst coverage
Leveraged ETFs (TQQQ, UPRO)	2.5 - 3.0	3x daily leverage = extreme beta

Practical examples

Example 1: S&P 500 ETF (VOO) - std dev 16%, market std dev 16%, correlation 0.99
Result: Beta = 0.99 (Market-level) - tracks the index almost identically

Example 2: Tesla (TSLA) - std dev 55%, market std dev 16%, correlation 0.45
Result: Beta = 1.55 (Speculative) - high vol, moderate correlation still produces high beta

Example 3: Johnson & Johnson (JNJ) - std dev 14%, market std dev 16%, correlation 0.65
Result: Beta = 0.57 (Moderate) - lower volatility than the market, classic defensive stock

Example 4: Gold ETF (GLD) in a crisis - std dev 18%, market std dev 22%, correlation -0.15
Result: Beta = -0.12 (Negative) - moves opposite to equities, a portfolio hedge

Example 5: CAPM calculation - Beta 1.3, market return 10%, risk-free rate 4.5%
Result: E(R) = 4.5% + 1.3 x (10% - 4.5%) = 11.65% expected return, 7.15% risk premium

Example 6: High-yield bond fund - std dev 10%, market std dev 16%, correlation 0.60
Result: Beta = 0.38 (Defensive) - low beta but NOT risk-free (credit risk is unsystematic)

CAPM expected return by beta level

Assuming a risk-free rate of 4.5% and an expected market return of 10%:

Beta	Risk premium	Expected return	Classification
0.3	1.65%	6.15%	Defensive
0.6	3.30%	7.80%	Moderate
1.0	5.50%	10.00%	Market-level
1.3	7.15%	11.65%	Aggressive
1.5	8.25%	12.75%	Aggressive
2.0	11.00%	15.50%	Speculative

FAQ - Frequently asked questions

What does a beta of 1.3 actually mean in dollar terms?

If the market drops 10%, a stock with beta 1.3 is expected to drop about 13%. On a $10,000 position, that is a $1,300 loss vs the market's $1,000. The premium works both ways - on a 10% rally, you gain $1,300 instead of $1,000.

Is low beta always safer?

Low beta means low systematic (market) risk. But the asset can still have high unsystematic risk - company fraud, regulatory changes, sector collapse. A utility stock at beta 0.4 can still go to zero if the company goes bankrupt. Beta measures market sensitivity, not total risk.

Where do I find the correlation and standard deviation data?

Most brokerage platforms show volatility (std dev) under the stock's "statistics" or "risk" tab. Correlation data is available on portfolio analytics tools like Portfolio Visualizer, Morningstar, or Yahoo Finance's comparison charts. Use 3-5 years of monthly returns for a reliable estimate.

Can beta be negative?

Yes. A negative beta means the asset tends to move opposite to the market. Gold often shows slightly negative beta during market crashes. Inverse ETFs (like SH or SQQQ) are designed to have beta of -1 or -3. In CAPM, negative beta implies an expected return below the risk-free rate - you are paying for the hedge.

What is the CAPM model and when does it apply?

The Capital Asset Pricing Model (CAPM) states that the expected return of an asset equals the risk-free rate plus beta times the market risk premium: E(R) = Rf + beta x (Rm - Rf). It applies when you want to estimate whether an asset's historical return is justified by its risk level. If actual return > CAPM return, the asset has positive alpha (outperformance).

How often does beta change?

Beta is not constant. It shifts with market regimes, company fundamentals, and sector rotation. A tech stock might have beta 1.1 in a calm market and 1.6 during a sell-off (correlations spike in crises). Recalculate every 6-12 months or after major market events.

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