Unlevered Beta (Asset Beta)
Executive Summary
Key Takeaways
- ✓ Unlevered beta (asset beta) strips a company's observed beta of the effect of its own financial leverage.
- ✓ Unlevering isolates business risk, allowing betas to be compared across companies with different capital structures.
- ✓ The standard unlevering and re-levering formula is the Hamada equation.
- ✓ The comparable-company beta approach unlevers each comparable, averages the resulting asset betas, then re-levers at the subject's target capital structure.
- ✓ A re-levered beta is only appropriate for the capital structure it was re-levered at — changing the target structure requires re-levering again.
Definition¶
Unlevered beta, also called asset beta, is a company's observed beta adjusted to remove the effect of its financial leverage, leaving only the systematic risk attributable to its underlying business operations. Unlevered beta is the standard mechanism for comparing risk across companies with different capital structures in a CAPM-based cost of equity build.
Why Unlever Beta¶
An observed, or levered, beta reflects two sources of risk: the underlying business risk of the company's operations, and the additional financial risk introduced by its own debt. Two otherwise identical businesses with different leverage will show different levered betas even though their operating risk is the same. When beta is estimated from a set of comparable listed companies, blending their levered betas directly would mix these two effects. Unlevering isolates the business-risk component so that the comparables can be assessed on a like-for-like basis.
The Unlevering and Re-levering Process¶
- Identify a set of comparable listed companies operating in a similar business to the subject
- Unlever each comparable's observed beta, removing the effect of its own debt-to-equity ratio and tax rate, using the Hamada equation
- Average the resulting unlevered (asset) betas across the comparable set
- Re-lever the average unlevered beta at the subject company's or project's target capital structure and tax rate, again using the Hamada equation
The output of step 4 is a levered beta appropriate for the subject's own financing, ready for use in CAPM.
Role in a DCF Valuation¶
Unlevered beta is a bridge step, not an end input: it is never used directly in the CAPM formula. Its purpose is to allow risk to be compared and averaged across a peer set independent of financing, before being re-levered to the capital structure actually assumed for the subject in the WACC build. Consistency between the target capital structure used to re-lever beta and the target capital structure used to weight WACC is essential.
Audit Considerations¶
- Confirm the comparable set used to build unlevered beta is genuinely comparable in business risk, not merely in industry classification
- Confirm each comparable's beta was correctly unlevered using its own debt-to-equity ratio and applicable tax rate, not a blended or incorrect figure
- Confirm the re-levering step uses the same target capital structure and tax rate assumed elsewhere in the WACC build
- Check that the model does not use an unlevered (asset) beta directly in CAPM without re-levering it first
Common Errors¶
| Error | Description | Risk |
|---|---|---|
| Using unlevered beta directly in CAPM | Asset beta plugged into the CAPM formula without re-levering | Understates cost of equity, since it omits the subject's own financial risk |
| Averaging levered betas without unlevering | Comparable betas blended without stripping each comparable's own leverage | Comparable set's average leverage, not the subject's, silently drives the result |
| Inconsistent target structure | Re-levering uses a different capital structure than the WACC build's weights | Internal inconsistency between the discount rate build and financing assumptions |
Continue Reading¶
Prerequisites¶
- Beta
- Discounted Cash Flow (DCF) Valuation — the parent pillar
Related Glossary¶
Related Technical Guides¶
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Frequently Asked Questions
What is the difference between levered and unlevered beta?
Levered (equity) beta is a company's observed beta, reflecting both its underlying business risk and the additional risk introduced by its own financial leverage. Unlevered (asset) beta removes the leverage effect, leaving only the business risk component, making it comparable across companies with different capital structures.
Why is unlevering necessary when using comparable companies?
Because comparable companies typically have different capital structures from each other and from the subject company or project. Averaging their levered betas directly would blend differences in financial risk with differences in business risk. Unlevering removes the capital-structure effect so only business risk is averaged, and the result is then re-levered at the subject's own target structure.
What formula is used to unlever and re-lever beta?
The Hamada equation is the standard formula, expressing the relationship between levered beta, unlevered beta, the debt-to-equity ratio, and the tax rate.
Does unlevered beta ever equal zero?
No — unlevered beta reflects the underlying business (operating) risk of the company or industry, which is non-zero for virtually all operating businesses. It is levered beta, not unlevered beta, that moves toward the unlevered figure as debt approaches zero.
Can unlevered beta be used directly as a discount rate input?
No. Unlevered beta must be re-levered at the subject's target capital structure before being used in CAPM, since cost of equity is, by definition, the required return on levered equity.
Related Articles
Beta
Beta is a measure of a stock's systematic risk — the portion of its return volatility that is correlated with movements in the broader market and cannot be diversified away. A beta of 1.0 moves in line with the market; a beta above 1.0 indicates higher-than-market sensitivity, and a beta below 1.0 indicates lower sensitivity. Beta is the key input to the Capital Asset Pricing Model (CAPM), which is used to estimate the cost of equity component of the discount rate in a DCF valuation. Beta can be sourced from a regression of a company's historical stock returns against a market index, or taken from published data services, and for private companies or specific projects is typically derived from a set of unlevered comparable betas re-levered to the subject's target capital structure.
Hamada Equation
The Hamada equation is a formula, developed by Robert Hamada, that relates a company's observed levered equity beta to its underlying unlevered (asset) beta, adjusting for the effect of financial leverage and the corporate tax rate. It is used to strip out the effect of capital structure from an observed beta — unlevering it — so that betas from different comparable companies with different debt levels can be meaningfully compared or averaged, and then to relever the resulting average unlevered beta back to the subject company's own target capital structure. The Hamada equation is a standard step in building a bottom-up cost of equity estimate from a set of comparable companies.
CAPM (Capital Asset Pricing Model)
The Capital Asset Pricing Model (CAPM) is the standard methodology for estimating the cost of equity — the return equity investors require to hold a company's stock, given its systematic risk relative to the broader market. CAPM expresses cost of equity as the risk-free rate plus the company's beta multiplied by the equity risk premium (the excess return the market as a whole is expected to earn over the risk-free rate). CAPM is the most widely used cost-of-equity methodology in institutional valuation practice and is the standard input to the cost-of-equity component of WACC.
Cost of Equity
Cost of equity is the rate of return equity investors require to compensate them for the risk of holding a company's stock, given its systematic risk relative to the broader market. It is most commonly estimated using the Capital Asset Pricing Model (CAPM), which expresses cost of equity as the risk-free rate plus a beta-adjusted equity risk premium. Cost of equity serves two roles in a DCF valuation: it is one of the two components blended into WACC (alongside the after-tax cost of debt), and it is used as the sole discount rate when valuing a levered cash flow (FCFE) directly.
WACC (Weighted Average Cost of Capital)
WACC (Weighted Average Cost of Capital) is the rate of return that a company must earn on its existing assets to maintain the value of its equity and satisfy both its debt holders and equity investors. It is calculated as the weighted average of the after-tax cost of debt and the cost of equity, with the weights determined by the proportion of each in the total capital structure. WACC is used primarily as the discount rate in a discounted cash flow (DCF) valuation, where it converts projected free cash flows into present value. It is also used as a return hurdle: a project or investment is value-creating if its expected return exceeds the WACC.