Modelling Default Correlations in a Two-Firm Model with Dynamic Leverage Ratios
AbstractThis article provides a generalized two-firm model of default correlation, based on the structural approach that incorporates interest rate risk. In most structural models default is driven by the firms' asset dynamics. In this article, a two-firm model of default is instead driven by the dynamic leverage ratios, which combines the measure of risks of the firms' total liabilities and assets. This article investigates analytical methods and numerical tools to solve the two-dimensional first passage time problem with time-dependent parameters. We carry out a comparative analysis of the impact of model parameters and provide some insights of their effects on joint survival probabilities and default correlations.
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Bibliographic InfoPaper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 304.
Date of creation: 01 Mar 2012
Date of revision:
credit risk; default correlations; default probabilities; first passage time;
Find related papers by JEL classification:
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-04-17 (All new papers)
- NEP-BEC-2012-04-17 (Business Economics)
- NEP-RMG-2012-04-17 (Risk Management)
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