Levered vs Unlevered Beta
A stock's observed (levered) beta reflects two things: how risky the business is AND how much debt it carries. Unlevered beta removes the debt effect so you're left with pure business risk. You un-lever each comparable company's beta, average them, then re-lever at your target's debt level — so the beta you use matches your target's actual capital structure.
Definition
Levered vs unlevered beta is the distinction between a stock's beta measured with its debt load included (levered, also called 'equity beta') versus the beta of its underlying business with the effect of debt stripped out (unlevered, or 'asset beta'). Bankers un-lever the betas of comparable companies to isolate pure business risk, then re-lever at the target's own capital structure before plugging beta into CAPM to estimate the cost of equity.
Formula
Unlevered β = Levered β / [1 + (1 − Tax) × (D/E)] → Re-levered β = Unlevered β × [1 + (1 − Tax) × (D/E target)]
Levered β
The observed equity beta of a comparable company, including its debt
Unlevered β
Asset beta — business risk with the debt effect removed
Tax
Marginal corporate tax rate, capturing the debt tax shield
D/E
Debt-to-equity ratio — the comp's own when un-levering, the target's when re-levering
Why you can't just use a comparable's raw beta
Beta you pull from Bloomberg or Yahoo is levered (equity) beta — it bakes in that company's specific debt load. Debt amplifies equity risk: a company with more leverage has a higher equity beta even if its underlying business is identical to a debt-free peer, because fixed interest payments make equity returns more volatile. So if you grabbed a heavily-levered comp's beta and applied it to a lightly-levered target, you'd overstate risk and cost of equity. The fix is to un-lever every comp's beta to a common, debt-free basis (asset beta), which isolates the risk of the business itself.
The un-lever / re-lever process
Step 1: For each comparable company, take its levered beta and un-lever it using its own debt/equity and tax rate. Step 2: Take the median (or mean) unlevered beta across the comps — this is your estimate of pure business risk for the sector. Step 3: Re-lever that median unlevered beta using your TARGET company's debt/equity and tax rate. The result is a levered beta tailored to your target, which you then drop into CAPM. This three-step dance ensures the only thing carried over from the comps is business risk, while the capital-structure risk reflects your specific company.
Why the tax term appears
The (1 + (1 − tax) × D/E) term reflects the tax shield on debt. Because interest is tax-deductible, debt's risk-amplifying effect on equity is dampened by the tax benefit — so the formula scales the D/E impact by (1 − tax rate). This is the Hamada equation. A subtle point interviewers love: the formula assumes debt beta is zero (debt is risk-free), which slightly overstates equity beta for highly distressed firms with risky debt, but it's the standard simplifying assumption used in practice.
Worked Example — With Real Numbers
A comparable company has a levered beta of 1.4, debt/equity of 0.8, and a 25% tax rate. Unlevered beta = 1.4 / [1 + (1 − 0.25) × 0.8] = 1.4 / [1 + 0.6] = 1.4 / 1.6 = 0.875. Now re-lever for your target, which has debt/equity of 0.4 and the same 25% tax rate: Re-levered beta = 0.875 × [1 + (1 − 0.25) × 0.4] = 0.875 × [1 + 0.3] = 0.875 × 1.3 = 1.14. Because your target carries less debt than the comp, its re-levered beta (1.14) is lower than the comp's original 1.4.
Key Takeaways
Levered (equity) beta includes capital-structure risk; unlevered (asset) beta reflects only business risk.
More debt raises levered beta because leverage amplifies equity-return volatility.
Always un-lever comps' betas, take the median, then re-lever at your target's capital structure.
The (1 − tax) term captures the tax shield on debt — this is the Hamada formula.
The process assumes debt beta is zero, a standard simplification.
Common Mistakes in Interviews
Using a comparable's levered beta directly without un-levering and re-levering.
Re-levering with the comp's debt/equity instead of the target's.
Forgetting the (1 − tax) term or applying it incorrectly.
Mixing up which company's D/E to use at each step — comp's D/E to un-lever, target's D/E to re-lever.
How Interviewers Test This
A common question: 'Why do you un-lever and then re-lever beta?' The answer: to isolate the comparable companies' pure business risk (removing their varying debt loads), then apply your target's actual capital structure so the beta reflects the right amount of leverage risk. Be ready to write the Hamada formula on a whiteboard — interviewers test whether you know debt amplifies equity beta and that the tax shield dampens that effect.
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