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Risk Premia and Optimal Liquidation of Credit Derivatives

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  • Tim Leung
  • Peng Liu

Abstract

This paper studies the optimal timing to liquidate credit derivatives in a general intensity-based credit risk model under stochastic interest rate. We incorporate the potential price discrepancy between the market and investors, which is characterized by risk-neutral valuation under different default risk premia specifications. We quantify the value of optimally timing to sell through the concept of delayed liquidation premium, and analyze the associated probabilistic representation and variational inequality. We illustrate the optimal liquidation policy for both single-named and multi-named credit derivatives. Our model is extended to study the sequential buying and selling problem with and without short-sale constraint.

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File URL: http://arxiv.org/pdf/1110.0220
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Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 1110.0220.

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Date of creation: Oct 2011
Date of revision: Oct 2012
Publication status: Published in International Journal of Theoretical and Applied Finance 2012
Handle: RePEc:arx:papers:1110.0220

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  1. Jarrow, Robert A & Turnbull, Stuart M, 1995. " Pricing Derivatives on Financial Securities Subject to Credit Risk," Journal of Finance, American Finance Association, vol. 50(1), pages 53-85, March.
  2. E. Bayraktar, 2008. "Pricing Options on Defaultable Stocks," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(3), pages 277-304.
  3. Alexander Schied & Torsten Schöneborn, 2009. "Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets," Finance and Stochastics, Springer, vol. 13(2), pages 181-204, April.
  4. Robert Almgren, 2003. "Optimal execution with nonlinear impact functions and trading-enhanced risk," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 1-18.
  5. Joost Driessen, 2005. "Is Default Event Risk Priced in Corporate Bonds?," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 165-195.
  6. Antje Berndt & Rohan Douglas & Darrell Duffie & Mark Ferguson, . "Measuring Default Risk Premia from Default Swap Rates and EDFs," GSIA Working Papers 2006-E31, Carnegie Mellon University, Tepper School of Business.
  7. Robert A. Jarrow & David Lando & Fan Yu, 2005. "Default Risk And Diversification: Theory And Empirical Implications," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 1-26.
  8. Azizpour, Shahriar & Giesecke, Kay & Kim, Baeho, 2011. "Premia for correlated default risk," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1340-1357, August.
  9. Marco Frittelli, 2000. "The Minimal Entropy Martingale Measure and the Valuation Problem in Incomplete Markets," Mathematical Finance, Wiley Blackwell, vol. 10(1), pages 39-52.
  10. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
  11. Tim Leung & Michael Ludkovski, 2010. "Optimal Timing to Purchase Options," Papers 1008.3650, arXiv.org, revised Apr 2011.
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