Beta Calculator (Using Comparables)

An advanced tool for calculating a company’s beta using the bottom-up approach with comparable public companies.

Target Company

Comparable Companies

Estimated Levered Beta for Target Company

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Average Unlevered Beta

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Number of Comparables

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Unlevered Betas of Comparable Companies

Bar chart showing the calculated unlevered beta for each comparable company.

What is Calculating Beta Using Comparables?

Calculating beta using comparables, also known as the “bottom-up beta” approach, is a method for estimating the systematic risk (beta) of a private company or a specific project by analyzing publicly traded companies in the same industry. Instead of relying on historical stock price data of the target firm (which may not exist), this technique leverages the betas of similar firms, adjusts for differences in capital structure, and arrives at a more stable and forward-looking estimate. This approach is superior to a simple regression beta because it reduces the standard error and can be adapted for firms that are not publicly traded.

This process involves three main steps: 1) Find suitable publicly traded comparable companies. 2) “Unlever” the beta of each comparable company to remove the effect of its debt, isolating the pure business risk (asset beta). 3) Average these unlevered betas and then “re-lever” this average using the target company’s specific capital structure to find its estimated equity beta.

The Formula for Calculating Beta Using Comparables

The core of this method relies on two key formulas: one for unlevering the beta of comparable firms and one for re-levering it for the target firm.

1. Unlevered Beta Formula (for each comparable)

This formula removes the financial risk from a company’s observed (levered) beta. The result is the Asset Beta, which reflects only the company’s operational risk.

Unlevered Beta (βu) = Levered Beta (βe) / [1 + (1 – Tax Rate) * (Debt/Equity Ratio)]

2. Levered Beta Formula (for the target company)

After calculating the average unlevered beta from all comparables, you apply your target company’s financial structure to estimate its final levered (equity) beta.

Levered Beta (βe) = Average Unlevered Beta * [1 + (1 – Tax Rate) * (Debt/Equity Ratio)]

Explanation of Variables

Variable	Meaning	Unit	Typical Range
Levered Beta (βe)	The beta of a company including the effect of its capital structure (debt). It measures the volatility of the stock.	Unitless Ratio	0.5 – 2.5
Unlevered Beta (βu)	Also known as Asset Beta, it measures a company’s business risk, excluding the effects of financial leverage.	Unitless Ratio	0.4 – 2.0
Tax Rate	The company’s marginal corporate tax rate.	Percentage (%)	15% – 35%
Debt/Equity Ratio	The ratio of a company’s total debt to its total equity at market value.	Unitless Ratio	0.1 – 5.0

Practical Examples

Example 1: Valuing a Private Tech Startup

Imagine you need to find the beta for a private software-as-a-service (SaaS) company. You cannot run a regression as it has no stock price history. You use the bottom-up beta method instead.

• Target Company: Private SaaS Co., with a target D/E Ratio of 0.2 and a 25% tax rate.
• Comparable 1 (Public SaaS Co. A): Levered Beta = 1.4, D/E Ratio = 0.8, Tax Rate = 22%.
• Comparable 2 (Public SaaS Co. B): Levered Beta = 1.2, D/E Ratio = 0.5, Tax Rate = 24%.

Calculations:

1. Unlever Beta for A: 1.4 / [1 + (1 – 0.22) * 0.8] = 1.4 / 1.624 = 0.862
2. Unlever Beta for B: 1.2 / [1 + (1 – 0.24) * 0.5] = 1.2 / 1.38 = 0.870
3. Average Unlevered Beta: (0.862 + 0.870) / 2 = 0.866
4. Re-lever for Target Co.: 0.866 * [1 + (1 – 0.25) * 0.2] = 0.866 * 1.15 = 0.996

The estimated levered beta for the private SaaS company is 0.996.

Example 2: A New Project in the Airline Industry

A diversified company is considering a new investment in a budget airline and needs to determine the project’s cost of equity. They use the WACC calculator which requires beta as an input. The project will be financed with a D/E ratio of 1.5, and the company’s tax rate is 30%.

• Comparable 1 (Budget Airline X): Levered Beta = 1.1, D/E Ratio = 1.8, Tax Rate = 28%.
• Comparable 2 (Budget Airline Y): Levered Beta = 1.3, D/E Ratio = 2.2, Tax Rate = 29%.

Calculations:

1. Unlever Beta for X: 1.1 / [1 + (1 – 0.28) * 1.8] = 1.1 / 2.296 = 0.479
2. Unlever Beta for Y: 1.3 / [1 + (1 – 0.29) * 2.2] = 1.3 / 2.562 = 0.507
3. Average Unlevered Beta: (0.479 + 0.507) / 2 = 0.493
4. Re-lever for Project: 0.493 * [1 + (1 – 0.30) * 1.5] = 0.493 * 2.05 = 1.011

The estimated levered beta for the new airline project is 1.011.

How to Use This Calculator for Calculating Beta

This tool simplifies the bottom-up beta calculation process. Follow these steps for an accurate estimation:

1. Enter Target Company Data: Input the marginal tax rate and the target or current debt-to-equity ratio for the company or project you are valuing.
2. Add Comparable Companies: Click the “+ Add Comparable Company” button. For each comparable, you need to find its reported Levered Beta (often available on financial data websites), its market Debt/Equity Ratio, and its marginal tax rate.
3. Input Comparable Data: Fill in the three fields for each comparable company you add. The calculator can handle multiple comparables; the more you use, the more reliable the average becomes.
4. Analyze Real-Time Results: The calculator automatically updates with every input. The primary result is the “Estimated Levered Beta for Target Company”.
5. Review Intermediate Values: Check the “Average Unlevered Beta” and “Number of Comparables” to understand the underlying data. The chart provides a visual comparison of the business risk across your selected peer group.
6. Reset or Copy: Use the “Reset” button to clear all fields or “Copy Results” to save the output for your analysis or reports. A proper DCF valuation guide will emphasize the importance of a sound beta calculation.

Key Factors That Affect Beta

Several fundamental factors influence a company’s beta. Understanding them is crucial for interpreting the results of a bottom-up beta calculation.

• Nature of the Business: Companies selling discretionary products (e.g., luxury cars, high-end fashion) tend to have higher betas than companies providing essential goods (e.g., utilities, consumer staples).
• Operating Leverage: This refers to the proportion of fixed costs in a company’s cost structure. Higher fixed costs (like in manufacturing or airlines) lead to more volatile operating income and thus a higher asset beta.
• Financial Leverage: As a company takes on more debt, the risk to equity holders increases, which in turn increases the equity beta. This is the factor we explicitly control for in the unlevered beta formula.
• Growth Prospects: High-growth companies often have higher betas. Their value is tied more to future expectations, which can be more volatile than the value of mature, stable companies.
• Company Size: Smaller companies tend to be riskier and often exhibit higher betas than large, well-established corporations, partly due to less diversification and a smaller market footprint.
• Geographic Diversification: Companies with globally diversified revenue streams may have lower betas as they are less susceptible to economic downturns in a single country.

Frequently Asked Questions (FAQ)

1. What’s the difference between levered and unlevered beta?

Levered beta (or equity beta) measures the risk of a stock including the impact of its debt. Unlevered beta (or asset beta) measures only the business risk, as if the company had no debt. Our calculator uses this distinction for its bottom-up beta calculation.

2. Why not just use the regression beta for a public company?

A regression beta is based on historical data and can have a large standard error (be “noisy”). A bottom-up beta, derived from an average of multiple companies, is generally more stable and reflects the current business mix and financial structure more accurately.

3. How many comparable companies should I use?

While there’s no magic number, using more comparables generally leads to a more accurate estimate by reducing statistical noise. Aim for at least 5-10, but even a few is better than none. The key is the quality of the comparison.

4. Where can I find the data for comparable companies?

Levered betas, D/E ratios, and tax information are available on financial data platforms like Bloomberg, Capital IQ, Reuters, and Yahoo Finance, as well as in company financial reports (10-K filings).

5. What is a “good” or “bad” beta?

Beta is a measure of risk, not quality. A beta of 1.0 means the stock moves with the market. A beta > 1.0 means it’s more volatile than the market, and a beta < 1.0 means it's less volatile. The "right" beta depends on an investor's risk tolerance. The relationship between equity beta vs asset beta is central to this analysis.

6. Can beta be negative?

Yes, but it’s very rare. A negative beta would imply an asset moves in the opposite direction of the market (e.g., its value goes up when the market goes down). Gold or certain types of insurance products are sometimes cited as examples.

7. How does this calculator help in valuing a private company?

Private companies don’t have stock prices, so their beta cannot be calculated directly. This bottom-up method is the standard approach in corporate finance to estimate a beta for a private firm, which is a critical input in the Capital Asset Pricing Model (CAPM) to determine its cost of equity.

8. Does the D/E ratio need to be book value or market value?

For valuation purposes, you should always use the market value of debt and equity. Market values reflect the current risk and return expectations of investors, which is what beta is trying to capture.

Related Tools and Internal Resources

Continue your financial analysis with our suite of valuation and corporate finance tools. These resources provide further context on the inputs and outputs related to the bottom-up beta process.