Remove the effect of financial leverage from a company's observed equity beta using the Hamada equation, then compare levered and unlevered risk measures.
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Corporate Finance
Unlevered beta (asset beta) measures a company's systematic risk with the effect of financial leverage removed. It is used in comparable company analysis and WACC calculations to isolate pure business risk from capital structure decisions.
A company's observed equity beta reflects both its operating risk and the amplifying effect of debt. Unlevered beta strips out the leverage effect, revealing the underlying business risk that would exist if the company were entirely equity-financed.
This is essential for comparing companies with different capital structures or for re-levering beta to a target capital structure in valuation models.
The Hamada equation relates levered and unlevered beta through the tax-adjusted debt-to-equity ratio.
β_u = β_L / [1 + (1 − T) × (D/E)]
Where β_u = unlevered beta, β_L = levered beta, T = corporate tax rate, D/E = debt-to-equity ratio.
A company has a levered beta of 1.2, a D/E ratio of 0.5, and a 25% tax rate. β_u = 1.2 / [1 + (1 − 0.25) × 0.5] = 1.2 / 1.375 = 0.87. The pure business risk is 0.87; the leverage amplifies it to 1.2.
To apply a target capital structure, reverse the formula: β_L = β_u × [1 + (1 − T) × (D/E)]. This is standard practice in comparable company analysis and DCF valuation.
Assumes debt beta is zero (debt is risk-free). In practice, risky debt has positive beta. Does not account for non-debt tax shields or financial distress costs.
Frequently asked questions
Financial leverage amplifies equity returns — both positive and negative. Removing leverage removes this amplification, producing a lower (less volatile) beta. The only exception is if D/E is zero, where both betas are equal.
Use it when comparing companies with different capital structures, when re-levering beta to a target structure for WACC, or when estimating the cost of equity for a project with a different leverage profile than the firm.
Developed by Robert Hamada in 1972, it combines the Modigliani-Miller capital structure theory with the CAPM to express the relationship between levered beta, unlevered beta, the tax rate, and the debt-to-equity ratio.
Yes. The standard Hamada equation assumes debt beta is zero. For companies with very risky debt (high-yield or distressed), a modified version that includes debt beta provides a more accurate unlevered beta estimate.
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