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7.3·7 min read

Beta: Levered and Unlevered

Beta measures market sensitivity. To compare companies' business risk you strip out leverage (unlever), then re-lever to your target structure.

By the end you can
  • Interpret beta values above, below, and equal to 1
  • Explain why we unlever and re-lever beta
  • Use the unlevering formula
Beta (β)

A stock's sensitivity to overall market moves. The market has β = 1. β > 1 = more volatile than the market (higher systematic risk); β < 1 = less volatile; β < 0 = moves opposite the market (counter-cyclical).

Example: an ad-and-media conglomerate might have β ≈ 1.16 (16% more volatile than the market), while a casino operator might have β ≈ 2.23 (123% more volatile) because gaming is intensely cyclical.

Why unlever, then re-lever

A company's observed (levered/equity) reflects both its business risk and its debt load. To pull a clean business-risk signal from comparable companies - which all have different leverage - you strip out each one's debt effect (unlever), average them, then re-lever to your target company's capital structure.

βa=βe1+(1Tc)DE\beta_a = \dfrac{\beta_e}{\,1 + (1 - T_c)\dfrac{D}{E}\,}
Unlevered (asset) beta from equity beta. Rearrange to re-lever to a new D/E.
More leverage, higher equity beta

Debt adds risk to the equity holders (they're paid last), so a more levered company has a higher equity for the same underlying business. That's why two identical businesses with different debt loads show different observed betas - and why unlevering is necessary to compare them fairly.

Check yourself

A stock has a beta of 1.8. How should you interpret it?