The role of asset payouts in the estimation of default barriers

In the barrier option model of corporate security valuation, the firm’s creditors impose a default-triggering barrier on the firm value to protect their claim. Two disputed issues in the literature are whether the implied default barrier is positive, and whether it is above or below the book value of the firm’s liabilities. We extend the model of Brockman and Turtle (2003) by embedding asset payouts in the valuation of shareholders’ equity. Using a sample of US stocks from the NYSE, AMEX, and NASDAQ exchanges, our paper exploits market and firm information to compute the implied default barrier for thirty 2-digit SIC groups, including industrials and banks. Our results show that the implied default barrier is lower than it is in the received literature, and it can be less than total liabilities, even zero for some firms. The implied physical default probabilities are significantly lower in the presence of payouts, providing a closer fit to the historical corporate default rates, particularly for issuers of speculative-grade bonds.     

Refining the Lorenz-ranking of rules for claims problems on restricted domains

The comparison of the central rules for claims problems, according to the Lorenz order, has been studied not only on the entire set of problems but also on some restricted domains. We provide new characterizations of the adjusted proportional rule as being Lorenz-maximal or Lorenz-minimal within a class of rules on the half-domains. Using this result, we rank the adjusted proportional, the minimal overlap, and the average-of-awards rules by analyzing whether or not these rules satisfy progressivity and regressivity on the half-domains. We also find that the adjusted proportional rule violates two well-known claim monotonicity properties.