Lesson 3 of 5
What beta is measuring
Beta is the slope of a share's returns against the market's. Four defensible measurement choices give the same company four different costs of equity.
By Javier Sanz
Founder of ValueScreener. Built Ninety Nine, a securities services provider, and sold it to a tier-one global bank; ran operations and internationalization at Alpaca, the brokerage API.
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In one minute
- Beta is measured from prices, not from the business: how much a share moved with the market over some past window.
- Four ordinary measurement choices give the same company visibly different betas, and each choice is defensible.
- A steady price on a deteriorating business can carry a low beta, and a thinly traded or newly listed stock gives a beta built on too few real prices to mean much.
Beta is the slope of a regression: a security's returns plotted against the market's returns over some past period. A beta above one says the price moved proportionally more than the market across that window. That is the entire content of the measure, a statistic about two price series, and it says nothing about either business.
One company, four defensible betas, four costs of equity
- 5yr monthly, broad index (beta 0.80)8.00%
- 2yr weekly, broad index (beta 1.00)9.00%
- 1yr daily, broad index (beta 1.30)10.50%
- 2yr weekly, S&P 500 against a total-market index (beta 1.60)12.00%
Four choices behind any published beta
Four decisions are made before a beta exists, and all four are ordinary practice.
| Choice | The fork |
|---|---|
| Window | One, two or five years of history |
| Frequency | Daily, weekly or monthly returns |
| Index | A sector index is a common vendor shortcut; CAPM calls for a broad market index |
| Adjustment | The raw regression, or pulled part way toward 1.00 |
Publishers rarely say which four they picked, and the figure above shows why that silence matters: the four rows span 4.00 points of cost of equity for one unchanged company, and the three broad-index rows alone span 2.50.
The rate moves the rows equally; beta does not
What beta is not measuring
Beta measures how a quoted price moved with the market. Marks argues that risk is the probability of permanent loss (A loss that is realised and never recovered, as against a price that falls and later recovers.), which a price series does not observe. A company whose price stayed steady while its business deteriorated had a low beta and a rising chance of that loss. A thinly traded stock, a recent spin-off or a short listing gives the regression too few informative prices, and it still returns a number.
It is also a levered number
The coefficient measured on a share price describes the equity of whatever debt load the company carried across that window. Modigliani and Miller's 1958 result says financing alone does not change what the whole business is worth. It does change who carries the risk: more debt makes the same business riskier for its shareholders, so the beta measured on the shares rises with leverage even when the business has not changed. A company that changed its borrowing partway through the window has a beta blended across two different capital structures. Analysts unlever a beta before comparing companies with different debt loads, for the same reason.
What the record says, and what to check instead
Fama and French, writing in the Journal of Finance in 1992, found that once a company's size and book-to-market ratio were accounted for, market beta had little remaining relation to average returns in their 1963 to 1990 sample. That has not stopped practitioners using it, because the model still needs some company-specific multiplier, and beta is the one every data vendor already computes.
The more useful check reads the risk factors instead. Open Item 1A of the company's most recent Form 10-K and ask, for each risk it lists, whether a regression of weekly returns against an index could have detected it. A customer concentration or a loan covenant rarely moved the price on the days the index moved, so the answer is usually no. That list, not a better beta, is what a cost of equity leaves out. The model leaves company-specific risks out on purpose, because a diversified holder can spread them; they belong in the cash-flow scenarios and the margin of safety, not in a higher rate.
Check yourself
What does beta actually measure?
- The chance a company becomes insolvent
- How much a share's price moved with the market over some past period
- How volatile the company's revenue has been
Show the answer
Answer: B.
It is a regression slope between two price series. It describes co-movement, not the business's own risk of failure.Two analysts compute different betas for the same company from the same price history. What is the most likely reason?
- One of them made an arithmetic error
- They chose a different window, frequency, index or adjustment
- Beta has only one correct value once you have the prices
Show the answer
Answer: B.
All four choices are ordinary practice, and reasonable choices on all four can span several points of cost of equity for the same company.The risk-free rate rises by one percentage point. What happens to the cost of equity under the capital asset pricing model?
- It rises by exactly one point, the same for every beta
- It rises more for a high-beta company than a low-beta one
- It falls, because the equity risk premium falls
Show the answer
Answer: A.
The risk-free rate is added rather than multiplied by beta, so it moves every row by the same amount regardless of beta.Sources
- Sharpe's capital asset pricing model: expected return as the risk-free rate plus beta times the equity risk premium.
- Marks, The Most Important Thing, 2011: risk as the probability of permanent loss, not the volatility of a quote.
- Modigliani and Miller, 1958: capital structure irrelevance under their assumptions, and the cost of equity rising with leverage.
- Fama and French, Journal of Finance, 1992: size and book-to-market against beta.
What this leaves out
- This lesson names no beta and gives no rule for choosing among the four estimation choices. Each is defensible, and the choice is not made for you here.
- ValueScreener regresses beta over two years of weekly returns against SPY, an exchange traded fund tracking the S&P 500 rather than the index itself. That window, that frequency and that proxy are choices, they are stated in each figure's source trail, and a different set would give a different beta.
- No beta is suggested here.
- Nothing here is advice about any security.