Unlevered Beta
Calculate a company's unlevered beta (asset beta) using its levered beta, debt-to-equity ratio, and corporate tax rate.
What is Unlevered Beta?
Unlevered beta, also referred to as asset beta, measures the systematic risk of a company's business operations without the impact of its debt structure. While a company's total systematic risk (levered beta) is influenced by both its business risk and financial leverage, unlevered beta isolates the risk of the business assets alone.
In corporate finance, comparing the volatility of different companies can be challenging because each firm has a different capital structure. By removing the tax-shielded debt effect, investors can compare companies in the same industry on an equal footing.
The Unlevered Beta Formula
The calculation relies on the Hamada equation, which establishes the relationship between levered beta, unlevered beta, and a company's leverage structure. The standard formula is:
$$\text{Unlevered Beta} = \frac{\text{Levered Beta}}{1 + (1 - \text{Tax Rate}) \times \frac{\text{Debt}}{\text{Equity}}}$$
Where:
- Levered Beta (Equity Beta): The volatility of the company's stock relative to the overall market.
- Tax Rate: The corporate tax rate applicable to interest payments.
- Debt-to-Equity (D/E) Ratio: The proportion of company debt to shareholders' equity.
Re-levering Beta
Once you calculate the unlevered beta of an industry or peer group, you can re-lever it to estimate the appropriate equity risk for a target firm (such as a private company or a firm undergoing capital restructuring). The re-levered beta formula is:
$$\text{Levered Beta} = \text{Unlevered Beta} \times \left[1 + (1 - \text{Target Tax Rate}) \times \text{Target D/E}\right]$$
Why Compare Unlevered Beta?
Comparing companies with different debt loads using levered beta can lead to incorrect conclusions. A company with high debt will have a higher levered beta simply because of financial risk, even if its actual business model is stable. De-levering and re-levering helps valuation analysts accurately calculate the Cost of Equity using the Capital Asset Pricing Model (CAPM).
If you are evaluating cash flows, you might also be interested in our Free Cash Flow to Firm (FCFF) Calculator or Free Cash Flow to Equity (FCFE) Calculator to model the firm's valuations directly.
Frequently Asked Questions
What is the difference between levered beta and unlevered beta?
Levered beta (equity beta) measures the risk of a firm's stock, including the financial risk arising from debt. Unlevered beta (asset beta) isolates the risk of the core business operations by removing the financial leverage effect.
Why does debt increase a company's levered beta?
Debt introduces fixed financial obligations (interest payments). During economic downturns, these fixed costs increase the risk of default and make the net earnings more volatile, which increases the volatility of the equity (levered beta).
How does the tax rate affect unlevered beta?
Interest payments on debt are tax-deductible in many jurisdictions. This creates a tax shield that reduces the net burden of debt, which is represented by the (1 - Tax Rate) factor in the formula.
When is re-levering beta used?
Re-levering is commonly used when valuing private companies that do not have publicly traded stock. Analysts find public comparable companies, calculate their unlevered betas, take the average, and then re-lever that average using the private firm's target capital structure.