QAU Working Paper No. QAU07-5
by Ethan Cohen-Cole

This paper presents a structural debt valuation model that links default probabilities and recovery rates of corporate securities to asset market liquidity. This linking is advantageous for risk management and regulation of financial institutions in that it provides a method of calibrating the relationship between probability of default (PD) and loss given default (LGD). Two innovations in the paper are the placing of the default point in a model of debt valuation into general equilibrium and conditioning this point on market factors such as asset liquidity. These allow one to derive implications on the correlation between various components of the model. Specifically, it finds two relationships between the probability of default (PD) and loss given default (LGD) of a debt instrument; temporal correlations are positive and cross-sectional ones negative. Such findings confirm the intuition of existing reduced form approaches and provide the ability to inspect other properties of the relationship that derive from theory. For example, one can use the model to forecast LGD. Some empirical validation of the theoretical results is provided.

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