Beta (Levered) Calculator
The formula
What the levered beta tells you
Equity beta reflecting the company’s actual capital structure — the operating risk of the assets amplified by leverage, exactly what CAPM needs.
Calculation: Levered beta = unlevered beta × [1 + (1 − tax) × D∕E]. Enter your inputs and every substitution is shown below the result.
Reading the result
When valuing a differently financed target, unlever comps, blend, then relever at the target structure — levered betas only travel within identical leverage.
Rules of thumb: Market betas 0.6–1.8; relevered leveraged-buyout equities 2–4
Limitations and best practice
Hamada assumes debt beta of zero; for heavily levered or distressed firms the debt carries real risk and the formula overstates equity beta.
This calculator gives an estimate based on standard formulas; it is not professional financial, medical, legal or engineering advice. Verify anything you plan to act on with a qualified professional and your own records.
Frequently asked questions
Why does leverage raise beta?
Can relevered betas exceed 3?
Source & methodology
Hamada (1972); standard relevering practice in investment banking.
Beta (Levered) explained: formula, worked example and honest limits
Every bet is a price, and this page computes whether the price is fair. Searchers land on a Beta (Levered) page for three reasons — to plan, to compare options, and to check that somebody else’s arithmetic is honest. This tool serves all three, and everything after the calculator explains the model instead of hiding it.
What makes Beta (Levered) worth calculating is not precision but position: it tells you which side of a threshold you are on, and by how much. A rough figure that settles the direction beats an elaborate one that never commits.
The number itself is the easy part. What takes judgement is knowing which inputs are facts in your situation and which are guesses wearing a decimal point — a distinction this page makes explicit for every field above.
Nothing below is stock text pasted around a number: the worked example computes levered equity beta = 1.43 from this tool’s own defaults, and the sensitivity section ranks the inputs that move the result — Unlevered (asset) beta first, at ≈10.0 % of the headline for a ten-percent error either way in that input — which is the thread the rest of this guide pulls on.
Every input in Beta (Levered), and what it does to the answer
One formula, published in full: Levered beta = unlevered beta × [1 + (1 − tax) × D∕E]. Anything you can read, you can reproduce in a spreadsheet, and that reproducibility is the whole point of printing it rather than hiding it behind a button.
Unlevered (asset) beta (example value 1) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Replace the example with the figure from your own records — the tool recomputes instantly and the printed steps follow your numbers.
Debt ($) (example value 3,334,579) is a measured number in the unit named by the label; the formula does not convert for you. The example value is there to demonstrate the mechanics, not to describe your situation — overwrite it.
Equity ($) (example value 5,021,983) is a plain measured quantity — the unit shown in the label is the unit the formula expects. The example value is there to demonstrate the mechanics, not to describe your situation — overwrite it.
Tax rate (%) (example value 24) is a measured number in the unit named by the label; the formula does not convert for you. Enter it exactly as your document states it — quoted annual, monthly and effective rates are three different numbers.
Beta (Levered) on the example inputs: the complete substitution
Abstract formulas are hard to trust, so here is the complete substitution using the default inputs, written the way an examiner would want it. Starting figures: Unlevered (asset) beta, Debt ($), Equity ($), Tax rate (%). The computed levered equity beta comes out at 1.43, which the interpretation band labels “Financial leverage raises equity beta from 0.95 to 1.43 — leverage transfers risk onto shareholders”.
- Bl = 0.95 × [1 + (1 − 24%) × 0.66] = 1.43
- The asset risk is unchanged; per share of equity it just arrives more violently
D/E ratio — 0.66. If your inputs change, this is usually the first companion figure to move.
Risk premium at 5.5% ERP — 7.86 %. Compare it against the main result of 1.43 before drawing conclusions.
Relevered beta at 2× this leverage — 1.91. Compare it against the main result of 1.43 before drawing conclusions.
Re-running with your own figures is instant; re-running by hand once is the best way to know the tool is telling you the truth.
The Beta (Levered) corridor: your result across a realistic band
Single-point answers invite false confidence, so the same engine was run across a band around the input that matters most here. Each row is a full recalculation of Beta (Levered), not an interpolation.
| Unlevered (asset) beta setting | Levered equity beta |
|---|---|
| 80 % of the example value | 1.14 |
| 90 % of the example value | 1.29 |
| example inputs | 1.43 |
| 110 % of the example value | 1.57 |
| 120 % of the example value | 1.72 |
Across 5 settings of Unlevered (asset) beta, the result spans 1.14 to 1.72. A decision that only works at one row of this table is a decision waiting for an input to move. Reproduce it in the form above by editing Unlevered (asset) beta alone; the substitution steps will follow your figures exactly.
Where Beta (Levered) is fragile — and where it is not
Generic advice says “it depends on your inputs”; this section says exactly how much. Each field was perturbed by ±10 % in isolation and the levered equity beta recomputed, so the ranking below is measured rather than asserted. For Beta (Levered) the ranking is measured rather than guessed, and it belongs to these defaults: shift the starting point and the order can shift with it.
- Unlevered (asset) beta: ten percent up gives 1.57, ten percent down gives 1.29 — ≈10.0 % of the levered equity beta either way
- Equity +10 % → Beta (Levered) = 1.39 · −10 % → 1.48 (the levered equity beta shifts ≈3.7 %)
- Nudge Debt by ±10 % and Beta (Levered) lands between 1.38 and 1.48 (sensitivity ≈3.4 %)
- Tax rate +10 % → Beta (Levered) = 1.41 · −10 % → 1.44 (the levered equity beta shifts ≈1.1 %)
Unlevered (asset) beta is the dominant lever here: ten percent either way moves the result by about 10.0 %, from 1.29 to 1.57. Measure that input from a document rather than from memory, and treat Equity as the second priority (≈3.7 % per ten percent). The remaining fields can sit at safe defaults without materially changing the answer — knowing which is which is what separates a careful calculation from an anxious one.
What a Beta (Levered) of 1.43 means in practice
A number on its own is trivia; a number against a range is intelligence. The default case lands in the “Financial leverage raises equity beta from 0.95 to 1.43 — leverage transfers risk onto shareholders” band, and bands are deliberately wide because real situations overlap. Before treating the band as fact, note its width: ten percent either way on Unlevered (asset) beta already spans 1.29 to 1.57. The practical reading rules: compare against your own history before comparing against other people; treat band boundaries as zones, not walls — one point on the wrong side of a threshold rarely changes a real outcome; and when a companion output contradicts the headline, believe the pair.
Placing this figure in context: calculators of this kind differ less in arithmetic than in what they choose to ignore. This one keeps Unlevered (asset) beta explicit so that the omissions are visible rather than hidden in a preset.
The errors that quietly break a Beta (Levered) figure
Hamada assumes debt beta of zero; for heavily levered or distressed firms the debt carries real risk and the formula overstates equity beta. This calculator gives an estimate based on standard formulas; it is not professional financial, medical, legal or engineering advice. Verify anything you plan to act on with a qualified professional and your own records.
Reading Beta (Levered) as a promise rather than a conditional. Every number here is of the form “if these inputs, then this result”; when an input moves, the honest response is to recompute rather than to defend the old figure.
This model has its own particular trap: Unlevered (asset) beta carries ≈10.0 % of the response per ten percent of error, so effort spent elsewhere is largely decorative.
Another is comparing across contexts: a Beta (Levered) computed with one set of conventions should never be lined up against a figure computed with another. Check the inputs behind both before ranking them.
A quick check for any Beta (Levered) figure
- State, in one sentence, which convention each rate, unit or period in the form is using.
- Confirm the example values are plausible for your own situation before replacing them.
- Put Unlevered (asset) beta under a magnifier; the sensitivity table above is the reason why.
- Verify each input against its original source document, not memory.
- Note the date and the inputs beside the number so the figure can be audited later.
- Run the ±10 % stress on the top two levers and check that your conclusion survives both.
Five steps from raw inputs to a figure you can defend
The tool does the arithmetic; the routine below is what makes the arithmetic trustworthy. Five steps, a minute total — and afterwards you will know not just what the number is, but which assumption produced it.
Step 1 — collect, then type. Everything this tool asks for is listed above (unlevered (asset) beta, debt ($), equity ($), tax rate (%)). Pull each figure from something you can point at — paperwork, a dashboard, a label — before touching a field. Guesswork at the input stage cannot be repaired at the interpretation stage. The inputs are the part of the work that nobody else can do for you.
Step 2 — enter the conservative case first. Resist the flattering scenario. Type the inputs you would defend in front of a sceptical reader, read the Levered equity beta (1.43 for the example values), and note the verdict band. Half of a good calculation is knowing which input you would hate to be wrong about.
Step 3 — measure what deserves measuring. The ranked levers above tell you where a careful figure pays off. Everything else can stay approximate, which is a licence to stop hunting for data you do not need. The point of transparency is that a reader can disagree with a specific line rather than with you.
Step 4 — stress before you commit. A decision that survives a ten-percent squeeze on its two biggest inputs needs no luck to be sound. One that does not survive is a decision about hope, not about arithmetic. Compare the calculation to the rough guess you arrived with, and ask why they differ.
Step 5 — save the story with the figure. A number without its inputs and its date is unusable within a quarter. Record 1.43, the assumptions behind it, and today’s date; your future self will be auditing a stranger’s arithmetic. A calculation you cannot explain to somebody else is a calculation you cannot defend.
The real-world conversations Beta (Levered) settles
In Financial Analysis the figure computed here is usually the first one somebody asks to see. Having it — with the formula behind it — changes your position in the conversation from participant to reference. Say the answer out loud before you save it; if it sounds wrong, the model did not change, your understanding did.
Used properly this is a five-minute filter that saves weeks. Compute Beta (Levered), reject what fails, and only then bring in the expensive analysis for the survivors. If the verdict changes with a ten-percent nudge, report the nudge alongside the number.
There is a personal-administration use people overlook: periodic self-checking. Beta (Levered) quietly drifts as life changes — rates move, bodies change, costs compound — and re-running it a few times a year catches drift while correction is still cheap. If a result feels obviously right, that is the moment to check the inputs hardest.
Quick answers: what searchers ask about Beta (Levered)
What affects Beta (Levered) the most?
Beta (Levered) is driven above all by Unlevered (asset) beta. Perturbing only that field by ten percent either way produced 1.57 against the 1.43 baseline — a ≈10.0 % response, while Equity manages ≈3.7 %.
Which matters more: equity or unlevered (asset) beta?
Unlevered (asset) beta, by a factor of about 2.7. Concretely: ten percent on Unlevered (asset) beta is worth ≈10.0 % of Beta (Levered), the same nudge on Equity only ≈3.7 %. That ranking is re-computed for each page from that page’s own defaults.
What is a typical Beta (Levered)?
On the worked example above Beta (Levered) comes out at 1.43. Treat that as one point on a distribution rather than a norm: the bands, the companion outputs and the sensitivity ranking tell you how wide the plausible range really is.
How do I calculate Beta (Levered) by hand?
Three steps: write the formula (Levered beta = unlevered beta × [1 + (1 − tax) × D∕E]), insert your values, and simplify. The worked example section shows exactly that chain for the default inputs; replicating it once on paper teaches you more about Beta (Levered) than any number of calculator runs.
What happens to Beta (Levered) if unlevered (asset) beta changes by 10 %?
On these inputs a ±10 % change in unlevered (asset) beta takes Beta (Levered) to 1.57 against the 1.43 example — around 10.0 % of the headline. The same test on every other field is in the sensitivity section.
Is the Beta (Levered) result of 1.43 good or bad?
Neither, on its own — the label “Financial leverage raises equity beta from 0.95 to 1.43 — leverage transfers risk onto shareholders” is the band this figure falls in for the example inputs, and your own inputs will place you elsewhere on the same ladder. Judge the number against your history and your alternatives, and remember that a ten-percent error in Unlevered (asset) beta alone moves it by ≈10.0 %.
How often should I check Beta (Levered)?
Whenever an input changes by more than a few percent, and otherwise on the rhythm of your decisions — before a purchase, a review, a renewal. Beta (Levered) is a snapshot, not a subscription; stale snapshots are the most common silent error in Business & Entrepreneurship planning.
Should I use Beta (Levered) before launching?
Yes — a Beta (Levered) run on honest inputs before spending is the cheapest consulting an entrepreneur can buy. Re-run at every pricing change; the number moves more often than founders expect.
Why does leverage raise beta?
Fixed debt claims amplify the residual cash reaching equity — same asset volatility, smaller and more volatile equity slice.
Can relevered betas exceed 3?
Easily at high leverage — and above ~2.5 the CAPM output starts functioning as a punishment for capital structure rather than a measurement.
Do I need an account to use this Beta (Levered) calculator?
No, and no data leaves the tab. The engine runs in the page itself, which is why the worked example, the bands and the sensitivity ranking all respond instantly to your keystrokes.
The vocabulary of Beta (Levered)
- D/E ratio
- 0.66 in the default Beta (Levered) calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Risk premium at 5.5% ERP
- 7.86 % for the Beta (Levered) worked case; it sits next to the main result because it carries context the headline leaves out.
- Relevered beta at 2× this leverage
- 1.91 on the example inputs — a companion figure printed beside the headline of Beta (Levered) so that no result is read in isolation.
- Levered equity beta
- The primary output of this tool: 1.43 for the default inputs, computed exactly from Levered beta = unlevered beta × [1 + (1 − tax) × D∕E].
- Worked example
- The step-by-step substitution printed above, so the arithmetic can be re-derived by hand or in a spreadsheet.
- Verdict band
- The interpretation attached to a result (“Financial leverage raises equity beta from 0.95 to 1.43 — leverage transfers risk onto shareholders” on these inputs), which turns a bare number into a position on a scale.
- Sensitivity (±10 %)
- How far the Beta (Levered) moves when a single input is nudged ten percent either way; the ranked list on this page is computed live from this engine.
Method, sources and what this tool cannot tell you
The model is published arithmetic implemented exactly as written: Levered beta = unlevered beta × [1 + (1 − tax) × D∕E]. Source of record: Hamada (1972); standard relevering practice in investment banking. Specialist software layers extra coefficients on top of the same algebra; none are hidden here, and that transparency is what makes a disagreement traceable to a specific input instead of a black box.
Treat the output as a precise answer to the question you typed: exact arithmetic, transparent formula, published source, no hidden rounding. Nothing is smoothed, weighted or adjusted behind the scenes; where judgement enters, this page says so and names the input responsible.
After the number: what to do with it
Compare the computed edge against the actual price being offered; a positive theoretical edge still loses to bad odds.
Whoever you are (players deciding whether a wager is mathematically worth taking), the next step is the same: replace the example inputs with your own, note the date, and re-run whenever a figure moves. In Business & Entrepreneurship, a dated figure is a trend, and an undated one is a rumour.