FIN.5:4.4 - Recover business risk before transferring a beta
For a listed comparable business, obtain aligned stock and market total returns, including distributions, for the same periods. Subtract each period’s risk-free return to obtain excess returns. If x is market excess return and y is the claim’s excess return, estimate beta as Σ[(x−mean x)×(y−mean y)] / Σ[(x−mean x)²]. This is the regression slope. The same calculation can estimate a traded debt claim’s beta when suitable return data exist. Alternatively, obtain an estimate with those definitions. Examine the window, market benchmark, infrequent trading and business changes before using it.
Choose peers for their operating exposure and establish the financing policy underlying each estimate. Use financial statements, repayment terms and supported refinancing assumptions to distinguish a fixed amount from a market-value target and its reset dates. Then select the project’s forward policy from FIN.10–11. A matching current D/E ratio alone does not establish a matching policy.
Let a express the financing model’s adjustment in the following relations. Two illustrative choices are:
| Financing and tax-shield model | Factor a |
|---|---|
| Permanent fixed debt amount; constant usable tax rate t; tax savings have debt risk. | 1−t |
| Debt reset each year to a constant share of market value; constant usable t and debt return kD; the next year’s tax savings have debt risk, while later debt resets follow business value. | 1−t×kD/(1+kD) |
The permanent-debt case values its recurring tax savings at t×D. Annual resetting fixes only the coming year’s borrowing; subsequent amounts depend on business value. Both models require usable deductions and treatment of additional financing frictions. The examples below stipulate proportional loss-sharing and tax-exempt debt cancellation, with the deductions priced at the expected debt return. With risky debt, verify those loss and tax conditions; another treatment can change the tax-shield discount rate. The policy derivation, especially equation 11 and footnote 9, explains those conditions. A finite fixed loan does not satisfy the permanent-debt premise; use its dated financing effects in step 5. If the actual policy or shield risk is unsupported, obtain that basis or keep the valuation conditional.
For each peer, remove its financing effect as βU = [βE + βD×a×D/E] / [1 + a×D/E]. Apply the target’s own factor and debt estimate as βE = βU + (βU−βD)×a×D/E. Here βU is unlevered business beta, βE equity beta and βD debt beta. Set βD to zero only when negligible debt market risk is a justified approximation.
Combine relevant business estimates only after removing their financing effects. Material excess cash or a different business mix needs separation; revenue weights need not equal business-value weights. Use a supported debt-beta estimate or a range when debt risk matters. The fuller bottom-up-beta treatment develops peer selection and combination; the policy choice above qualifies its tax-adjusted transfer. Compare the resulting valuations when more than one financing policy remains plausible. An approximation cannot settle the decision when the supported alternatives change its result.