How this instrument works
Unlevered beta strips the effect of a company's own debt out of its observed equity beta, leaving a figure that reflects business risk alone — the risk of the operations themselves, independent of how they happen to be financed. The levered (equity) reading an investor sees quoted is inflated by leverage: borrowing turns a company's fixed operating cash flows into a smaller, more volatile slice left over for shareholders after debt service, so two firms running an identical business can post very different equity readings purely because one carries more debt than the other. The Hamada equation, built by Robert Hamada in 1972 from the Capital Asset Pricing Model and Modigliani and Miller's capital-structure work, divides that reading by a leverage multiplier built from the debt-to-equity ratio and the tax shield debt provides, undoing the inflation algebraically rather than re-estimating it from raw return data.
The formula matters most to anyone valuing a company with no traded equity beta of its own — a private acquisition target, a division being spun off, or a startup building its first discounted-cash-flow model. The standard workaround borrows risk estimates from public comparable companies, but each comparable's raw figure is levered to THAT company's own balance sheet, not the subject's. Unlever every peer's beta with this formula, average the resulting asset-only figures across the peer set, and the result approximates the industry's pure business risk with each company's individual financing choice removed. Re-lever that average to the subject's planned debt-to-equity ratio — by rearranging the same equation the other way — and the output becomes a number a cost-of-equity calculation can actually use.
The equation rests on assumptions worth naming rather than trusting blindly. It treats debt as carrying no systematic risk of its own, a debt beta of zero, which holds reasonably well for investment-grade borrowers but weakens for a company financed with debt that itself trades like equity, such as distressed or deeply subordinated paper. It also uses the tax rate as a stand-in for how fully the market prices the interest tax shield, so a statutory rate and an effective cash tax rate can produce noticeably different answers from identical betas and leverage. Other unlevering formulas — Miles-Ezzell, Harris-Pringle — make different assumptions about how that shield is discounted, so a figure from this equation is one defensible estimate, not the only correct one.
- Enter Levered (equity) beta — the raw figure as observed or published for the company, still carrying the effect of its own debt.
- Enter Tax rate, % — the rate used to size the interest tax shield; the statutory corporate rate is the common default.
- Enter Debt-to-equity ratio — debt divided by the market value of equity, measured at the same balance sheet the levered reading reflects.
- Read Unlevered (asset) beta — the business-risk-only figure, ready to average across peers or re-lever to a different capital structure.
- To re-lever for a target company, invert the formula: multiply Unlevered (asset) beta by the leverage factor built from the target's own Tax rate, % and Debt-to-equity ratio.
Worked example — a beta of 1.5 at 0.5 debt-to-equity
Take a company with a Levered (equity) beta of 1.5, a Tax rate, % of 25, and a Debt-to-equity ratio of 0.5 — a mid-sized industrial with moderate borrowing. The leverage multiplier is 1 + (1 minus 0.25) times 0.5, which is 1.375, and dividing 1.5 by 1.375 gives an Unlevered (asset) beta of 1.090909..., about 1.09.
That 1.09 sits below the observed 1.5 because part of the equity's swing was coming from debt, not the business itself. An analyst valuing an unlisted peer with the same operations but a heavier 1.2 debt-to-equity ratio would re-lever this same 1.09 to the new structure, multiplying by 1.9, to get a levered beta near 2.07 for that more indebted company — identical operating risk, a very different equity result, purely from financing.
Questions
Why divide out leverage instead of just averaging peer betas directly?
Averaging raw levered figures mixes each peer's business risk with its own financing decisions, so the average reflects an arbitrary blend of debt levels across the peer set rather than the industry's operating risk. Unlevering each one first, averaging the debt-free results, then re-levering to the target's own structure isolates business risk before financing is added back in — the order the Hamada equation is built to support.
What is the difference between levered and unlevered beta?
Levered (equity) beta is what markets observe directly — a stock's return sensitivity to the market, already carrying the extra swing debt adds to equity returns. Unlevered (asset) beta removes that leverage effect algebraically, leaving the sensitivity of the underlying operations alone, as if the company held no debt at all. The two are equal only when Debt-to-equity ratio is zero.
Does more debt always lower Unlevered (asset) beta for a fixed starting figure?
Yes, holding Levered (equity) beta and Tax rate, % fixed — a larger Debt-to-equity ratio makes the denominator bigger, so the same starting figure implies a smaller underlying business-risk result. A heavily indebted company's raw number is doing more work concealing leverage than a lightly indebted one's, even if both run the same business.
Why does the tax rate appear in the formula at all?
Interest payments are tax-deductible, so debt provides a tax shield that partly offsets the extra risk it adds to equity — the (1 minus t) term scales down how much each unit of debt inflates the levered beta. A statutory rate and an effective cash tax rate can shift the unlevered result noticeably, so note which one was entered when sharing the number.
Can the unlevered figure come out higher than the levered beta it started from?
Only if Debt-to-equity ratio is entered as negative, representing net cash rather than net debt. With an ordinary non-negative ratio, the denominator is at least 1, so Unlevered (asset) beta is always equal to or smaller than Levered (equity) beta — leverage only adds risk to equity, it never removes it.
How does this differ from the stock-beta or portfolio-beta calculators on this site?
The stock-beta instrument measures a single company's raw sensitivity to the market from covariance and variance; portfolio beta blends two already-known figures by position size. This one does neither — it takes a company's own observed reading and separates the part caused by capital structure from the part caused by the business itself, a step used to compare or transfer risk estimates across companies carrying different debt loads.
References
- NYU Stern (Damodaran) — levering and unlevering beta for valuation
- U.S. SEC Investor.gov — beta and systematic risk glossary
Read this first: This instrument shows arithmetic, not advice. Real offers add fees, taxes and terms that vary by lender and place — verify the figures against your actual paperwork before deciding anything.