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The Fixed-Cost Fallacy: Why Cost Structure Is Not a Reliable Measure of Operating Leverage
Working paper

The Fixed-Cost Fallacy: Why Cost Structure Is Not a Reliable Measure of Operating Leverage

Gianluca Delfino
Social Science Research Network (SSRN)
2025

Abstract

Degree of Operating Leverage Operating risk Cost structure Margin of safety Simulation analysis
Textbooks and much empirical research assume that firms' cost structure, typically operationalized as the ratio of fixed to total operating costs, is a valid proxy for estimating the Degree of Operating Leverage (DOL). This study shows that this assumption can be conceptually incorrect and empirically misleading. Using a set of accounting identities, I demonstrate that DOL can be expressed as a function of the Margin of Safety (MOS), and thus as the ratio of the Contribution Margin Ratio (CMR) to Return on Sales (ROS). Building on these mathematical relationships, I develop a new estimator of operating leverage that estimates time-varying contribution margin ratios from rolling regressions of EBIT on Sales and combines them with observed ROS to obtain firm-year DOL measures. I compare this "TV-CMR" estimator to Lev's (1974) cost-structure proxy and to elasticity-based estimators of Mandelker and Rhee (1984) and O'Brien and Vanderheiden (1987) using a simulation framework and a battery of robustness checks. The results show that Lev's method performs poorly, misclassifying most high-and low-risk firms. Elasticity-based estimators perform substantially better, while the proposed TV-CMR estimator achieves the highest accuracy, the lowest measurement error, and the strongest identification of operating risk across almost all scenarios studied. I conclude by discussing how the TV-CMR estimator can help researchers estimate break-even points and firms' margins of safety using archival data, opening new possibilities for empirical research on cost structure, profitability, and firms' risk exposure.

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