Risk Premia and Optimal Liquidation of Credit Derivatives
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.
|Date of creation:||Oct 2011|
|Date of revision:||Oct 2012|
|Publication status:||Published in International Journal of Theoretical and Applied Finance 2012|
|Contact details of provider:|| Web page: http://arxiv.org/|
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- 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.
- E. Bayraktar, 2008. "Pricing Options on Defaultable Stocks," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(3), pages 277-304.
- Antje Berndt & Rohan Douglas & Darrell Duffie & Mark Ferguson & David Schranz, 2005.
"Measuring default risk premia from default swap rates and EDFs,"
BIS Working Papers
173, Bank for International Settlements.
- 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.
- 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.
- Schied, Alexander & Schoeneborn, Torsten, 2008. "Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets," MPRA Paper 7105, University Library of Munich, Germany.
- 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.
- 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.
- 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.
- Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409 World Scientific Publishing Co. Pte. Ltd..
- Robert A. Jarrow & David Lando & Fan Yu, 2005.
"Default Risk And Diversification: Theory And Empirical Implications,"
Wiley Blackwell, vol. 15(1), pages 1-26.
- Robert A. Jarrow & David Lando & Fan Yu, 2008. "Default Risk And Diversification: Theory And Empirical Implications," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 19, pages 455-480 World Scientific Publishing Co. Pte. Ltd..
- 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.
- Tim Leung & Michael Ludkovski, 2010. "Optimal Timing to Purchase Options," Papers 1008.3650, arXiv.org, revised Apr 2011.
- 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.
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