What is The Build-Up Method?
The Build-Up Method is the foundational technique used by Private Equity and Business Valuators to determine the Cost of Equity ($K_e$) for privately held businesses. Unlike public companies, private companies don't have a stock price, meaning you cannot calculate their "Beta" for the CAPM equation. Instead, the Build-Up Method mathematically "stacks" individual risk premiums on top of each other.
Mathematical Foundation
Laws & Principles
- The Absence of Beta: In CAPM, systemic risk is modeled via Beta $eta$. The Build-Up Method completely throws Beta out the window (effectively assuming $eta = 1.0$) and relies entirely on raw percentage stacking.
- The Discount Rate: This Cost of Equity is fundamentally the Discount Rate you use to pull the company's future Cash Flows back to Present Value. A higher COE vastly lowers the valuation of the business.
- Synthesizing WACC: Once you establish what the Equity costs ($COE$), you blend it with what their Debt costs (the interest rate on their company loans) using the Debt-to-Equity ratio to build their final Weighted Average Cost of Capital (WACC).
Step-by-Step Example Walkthrough
" You are attempting to value a local private manufacturing company. The 20-Year T-Bond yields 4.25%. The standard market ERP is 5.50%. Because they are small, Duff & Phelps data suggests a 3.50% Size Premium. The owner tells you 40% of their revenue comes from exactly 1 client, so you add a steep 2.0% Company-Specific Premium. "
- 1. Base Rate: 4.25% (Risk-Free).
- 2. Add ERP: 4.25% + 5.50% = 9.75%.
- 3. Add Size Premium: 9.75% + 3.50% = 13.25%.
- 4. Add Specific Risk: 13.25% + 2.00% = 15.25% (Total COE).
- 5. They have a 0.50x D/E Ratio and their bank loan costs 8%.
- 6. WACC = (0.666 * 15.25%) + (0.333 * 8.0%) = 12.83%.