A market-based framework for bankruptcy prediction

Abstract

We estimate probabilities of bankruptcy for 5784 industrial firms in the period 1988-2002 in a model where common equity is viewed as a down-and-out barrier option on the firm's assets. Asset values and volatilities as well as firm-specific bankruptcy barriers are simultaneously backed out from the prices of traded equity. Implied barriers are significantly positive and monotonic in the firm's leverage and asset volatility. Our default probabilities display better calibration and discriminatory power than the ones inferred in a standard Black and Scholes [Black, F., Scholes, M., 1973. The pricing of options and corporate liabilities. J. Pol. Econ. 81, 637-659]/Merton [Merton, R.C., 1974. On the pricing of corporate debt: the risk structure of interest rates. J. Finance 29, 449-470] and KMV frameworks. However, accounting-based measures such as Altman Z- and Z″-scores outperform structural models in 1-year-ahead bankruptcy predictions, but lose relevance as the forecast horizon is extended. © 2007 Elsevier B.V. All rights reserved.