What is The Build-Up Method: Deriving Cost of Equity for Private Companies Without Beta?
Mathematical Foundation
Laws & Principles
- Always use the 20-year Treasury as your risk-free rate baseline: Business valuations under IRS Revenue Ruling 59-60 and ASC 820 (Fair Value Measurement) require matching the investment horizon of the risk-free rate to the economic life of the subject company's cash flows. Private businesses typically have perpetuity or very long-horizon cash flows, making the 20-year Treasury (not 10-year) the appropriate benchmark. Using the 10-year Treasury in Build-Up understates the risk-free rate by 0.2–0.5% in normal yield curve conditions, systematically producing valuations that are 10–20% too high (lower discount rate → higher present value).
- The full ERP is added without Beta because Build-Up implicitly assumes Beta = 1.0: CAPM uses (Beta × ERP) to adjust for systematic risk relative to the market. Build-Up adds the full ERP directly — which is mathematically equivalent to assuming Beta = 1.0. This assumption is defensible for many private companies with broad market exposure. However, for highly cyclical businesses (construction, mining, oil services: Beta > 1.5) or counter-cyclical businesses (healthcare, utilities: Beta < 0.7): multiply ERP by an industry Beta factor from Damodaran's industry averages before adding it to the Build-Up stack. Not adjusting for a 1.8 Beta in a cyclical business understates Ke by 3–5 percentage points.
- Company-Specific Risk Premium (CSRP) must be supportable and documented: The CSRP is the most litigated component in business valuation disputes (IRS Tax Court, divorce proceedings, estate tax challenges). Simply applying a 5% CSRP and moving on is not defensible. Best practice: document each CSRP factor as a line-item adjustment with specific evidence. Example: 'Key Person Risk +2.0%: CEO John Smith controls 100% of client relationships and has no employment agreement or succession plan.' Reasonable CSRP for well-managed, diversified small businesses: 1–2%. For single-person consulting firms or businesses with dominant customer concentration: 4–8%.
- Build-Up produces higher Ke than CAPM for most private companies — and this is intentional: Private company equity carries a liquidity discount that public market CAPM doesn't price. Investors in private equity cannot sell their stake on an exchange; they must find a willing buyer through a negotiated transaction. This illiquidity requires a higher return. The combination of size premium + CSRP typically adds 4–12% above CAPM for private companies. A Build-Up Ke of 18–25% for a small private business is not unusual — and applying a public-company CAPM Ke of 10–12% to the same business produces a grossly inflated valuation. Many failed deal underwritings and tax disputes arise from improperly applying public market discount rates to private company cash flows.
Step-by-Step Example Walkthrough
" A business valuator is determining the Cost of Equity for a private manufacturing company with ~$3M in EBITDA, located in a single facility in the Midwest, with one customer representing 35% of revenue and a 65-year-old CEO who is the primary customer relationship manager. "
- 1. Risk-Free Rate (R_f): 20-year Treasury yield = 4.50%.
- 2. Equity Risk Premium (ERP): Duff & Phelps supply-side ERP = 5.50%. No Beta adjustment (assumed ≈ 1.0 for manufacturing). Add: +5.50%.
- 3. Size Premium (SP): Target company estimated equity value ~$8M — this falls in the 10th (micro-cap) CRSP decile at ~95th percentile of private businesses. SP = +5.00%.
- 4. Company-Specific Risk Premium (CSRP): Key person (CEO, 65, no succession plan): +2.5%. Single customer >25% revenue: +1.5%. Single-facility geographic concentration: +0.5%. Total CSRP = +4.50%.
- 5. Sum all components: Ke = 4.50 + 5.50 + 5.00 + 4.50 = 19.50%.