Going Concern as a Variable: Sector-Calibrated Survival Multipliers for Goodwill Valuation in Mergers and Acquisitions

Abstract Standard discounted cash flow (DCF) valuation treats going concern as a binary constant: the firm either exists or it does not. In mergers and acquisitions involving privately held companies – where no continuous market mechanism corrects for survivorship optimism and the DCF terminal value typically accounts for 60–80 % of enterprise value – this assumption embeds a systematic upward bias in goodwill estimates. We propose the Business Survival Value Multiplier (BSVM), a sector-specific parameter that incorporates empirical survival probability directly into the goodwill adjustment. Using 30 years of establishment cohort data from the U.S. Bureau of Labor Statistics Business Employment Dynamics program (1994–2024), we calibrate the BSVM via least squares on the log-log transformed survival curve, equivalent to maximum likelihood under a log-normal error structure across 19 NAICS sectors. We find substantial cross-sectoral heterogeneity, with survival multipliers ranging from 0.641 (Transportation) to 0.746 (Utilities) against an all-industry benchmark of 0.673. Applying a generic multiplier rather than the sector-specific calibrated value misstates the survival multiplier by up to 11 %. We illustrate the framework through complete worked valuations of privately held companies, constructed under U.S. appraisal standards, showing that the going-concern overvaluation embedded in the Gordon perpetuity ranges from 9.1 % of enterprise value for an established firm in a low-hazard sector to 30.1 % for an early-stage firm in a high-hazard sector – food service ( k = 1.38, increasing hazard) exhibiting a bias more than three times larger than Dermo-cosmetic manufacturing ( k = 0.87, decreasing hazard), the magnitude determined by two measurable parameters, the Weibull shape k and the firm’s age at valuation. Standard DCF captures operating risk through the discount rate and financial risk through the leverage adjustment. The BSVM adds the third and previously missing dimension: survival risk – the probability that the firm will exist to generate the flows being discounted.