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A Loan Portfolio Model Subject to Random Liabilities and Systemic Jump Risk

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  • Luis H. R. Alvarez
  • Jani Sainio

Abstract

We extend the Vasi\v{c}ek loan portfolio model to a setting where liabilities fluctuate randomly and asset values may be subject to systemic jump risk. We derive the probability distribution of the percentage loss of a uniform portfolio and analyze its properties. We find that the impact of liability risk is ambiguous and depends on the correlation between the continuous aggregate factor and the asset-liability ratio as well as on the default intensity. We also find that systemic jump risk has a significant impact on the upper percentiles of the loss distribution and, therefore, on both the VaR-measure as well as on the expected shortfall.

Suggested Citation

  • Luis H. R. Alvarez & Jani Sainio, 2010. "A Loan Portfolio Model Subject to Random Liabilities and Systemic Jump Risk," Papers 1006.0863, arXiv.org.
    • Handle: RePEc:arx:papers:1006.0863
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    3. Chunsheng Zhou, 1997. "A jump-diffusion approach to modeling credit risk and valuing defaultable securities," Finance and Economics Discussion Series 1997-15, Board of Governors of the Federal Reserve System (U.S.).
    4. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "Is the 2007 US Sub-Prime Financial Crisis So Different?: An International Historical Comparison," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 56(3), pages 291-299.
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    6. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
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