The shadow of death model revisited with an application to French firms

Abstract

This article provides an empirical model of the shadow of death in which the exit probability of a firm depends on the firm’s productive performance and the firm’s level of sunk costs, which are viewed as barriers to exit. The shadow of death effect is treated by assuming a relationship between the propensity to exit and both the contemporaneous and lagged values of efficiency and sunk costs. To estimate the unobserved productive efficiency, we use the Ackerberg et al. (2006) estimator extended by the addition of a correction for selection bias. We use an unbalanced sample of approximately 100 000 French firms over the period 1997 to 2002. Our results indicate that the probability of exit is negatively affected by unobserved individual efficiency and the level of sunk costs. The shadow of death effect applies mainly in manufacturing, where both productive efficiency and sunk costs decrease during several years before exit. In service sectors, the exit process seems to occur more suddenly.