Hamada Beta Calculator
Remove the modeled financing effect from an observed equity beta, then estimate beta at a target debt to equity ratio.
Earlier editorial review
- Reviewed
- 2026-09-18
- Methodology
- 1.0
Sources
How it works
The Hamada equation estimates asset beta by dividing an observed equity beta by a capital structure factor. That factor uses the debt to equity ratio and a corporate tax rate supplied by you. Asset beta is the model estimate of systematic operating risk after removing the modeled financing effect.
In target mode, the calculator applies a new debt to equity ratio to the estimated asset beta. The result is an estimated equity beta for the same operating risk under the target financing assumption. Use market value debt and equity where available, and keep the measurement date and definitions consistent.
Debt to equity is debt divided by equity. A ratio of 0.50 means debt is half the value of equity. It does not mean debt is 50% of total capital, and enter 0.50 rather than 50. Enter the tax rate as a percentage, so 25 means 25%.
This is a simplified valuation model. It assumes debt beta is zero, uses one tax rate for the tax shield, and treats the operating asset risk as unchanged when leverage changes. It does not determine actual tax eligibility, a suitable financing mix, or the future beta of a company.
Step by step
- Enter the observed equity beta, current debt to equity ratio, and tax rate.
- Review the estimated asset beta and the factor used to remove modeled leverage.
- For a target comparison, choose target mode and enter the target debt to equity ratio.
Worked example
Enter observed equity beta 1.20, current debt to equity 0.50, and tax rate 25%. The factor is 1 + (1 − 0.25) × 0.50 = 1.375. The estimated asset beta is 1.20 ÷ 1.375 = 0.87272727. These are the default inputs for the unlevering example.
For target mode, keep the tax rate at 25% and enter target debt to equity 1.00. The target factor is 1 + (1 − 0.25) × 1.00 = 1.75. The estimated target equity beta is 0.87272727 × 1.75 = 1.52727273. It is higher because the modeled target debt to equity ratio is higher, with operating risk held constant.
When to use this calculator
Use it to remove a modeled financing effect from an observed company equity beta, or to estimate beta under a target debt to equity ratio while holding operating risk constant. It can support a comparable company or project analysis when the input definitions are aligned.
Do not use the result as a borrowing recommendation or as a complete cost of capital analysis. Financing decisions also depend on cash flows, debt terms, business risk, liquidity, tax circumstances, and other factors outside this equation.
Common input errors
Enter debt divided by equity, not debt as a share of total capital. Enter 0.50 for a ratio of one half, but enter 25 for a 25% tax rate. Keep the beta, debt, equity, tax assumption, and measurement date consistent across the comparison.
Do not average levered betas from companies with different financing mixes before unlevering them. Do not treat an already unlevered beta from a data provider as an observed equity beta. Extra decimal places do not remove uncertainty in peer selection or the model assumptions.
Formula
β_asset = β_equity ÷ [1 + (1 − T) × D/E]
β_equity,target = β_asset × [1 + (1 − T) × D/E_target]
T is the assumed corporate tax rate as a decimal in the equation. D/E is debt divided by equity, preferably using market values. The standard form assumes debt beta is zero and represents the tax shield with one minus the tax rate.
Limits and assumptions
The standard equation assumes zero debt beta, a stable tax shield relationship, and unchanged operating risk as leverage changes. It does not model debt risk, distress costs, cash adjustments, changing business segments, leases, preferred claims, tax loss limits, or country risk. Equity beta estimates are noisy and depend on data choices. Compare multiple relevant peers and test alternative assumptions for material valuation work.
Key terms
- Equity beta
- A beta estimate for shareholders’ equity. In the Hamada model it reflects operating risk plus the modeled effect of the company’s financing.
- Asset beta
- The equity beta divided by the modeled capital structure factor. It estimates systematic operating risk after removing the financing effect under the equation’s assumptions.
- Debt to equity ratio
- Debt divided by equity. A ratio of 0.50 means debt equals half of equity, not half of total capital.
Related calculations
After estimating beta at target leverage, CAPM Expected Return Calculator can use that beta to estimate a cost of equity from a risk free rate and market risk premium. Weighted Average Cost of Capital Calculator combines financing costs and capital weights. Hamada adjusts beta for a leverage assumption; those tools answer different valuation questions.
Portfolio Beta Calculator combines beta estimates for an investment portfolio. Hamada Beta is designed for a company or project financing comparison. Neither tool verifies that inputs from different sources use compatible dates, benchmarks, or definitions.
FAQ
Why remove leverage from beta?
Equity beta reflects operating risk and the modeled effect of financing. Removing that financing effect can make operating risk estimates more comparable across companies with different debt levels. The resulting asset beta is still an estimate that depends on comparable business risk and the assumptions in the equation.
What equity beta should I enter?
Enter an observed equity beta that fits the benchmark, return period, frequency, and purpose of your analysis. Record its source and date. Providers may use different regression windows or adjustments, so the same number can have different meanings across sources. For a private company, analysts often examine several comparable listed companies rather than treating one beta as definitive.
How should I measure debt to equity?
Divide debt by equity. For this model, market values are generally preferable when they are available and consistently defined. Debt of 50 and equity of 100 gives a ratio of 0.50. Debt is one third of their combined total, not one half. Decide consistently how to treat leases, preferred claims, and cash offsets, because those choices depend on the valuation framework.
What does the tax rate do in the equation?
The factor uses one minus the tax rate to represent an assumed interest tax shield. This is an algebraic assumption, not a forecast of a company’s tax bill or proof that interest deductions can be used. A 100% input is accepted by the formula but does not mean borrowing is cost free or that a full tax benefit is available.
When do I estimate beta at a target leverage?
Target mode applies a new debt to equity ratio to the asset beta calculated from the observed company. This can help compare a company or project with a different financing assumption. If you use several peers, unlever their betas first, summarize the asset beta estimates, then apply the target ratio consistently.
Related tools
Use CAPM Expected Return Calculator for a cost of equity scenario and Weighted Average Cost of Capital Calculator for a blended financing rate. Portfolio Beta Calculator measures beta for an investment portfolio rather than adjusting a company beta for financing.