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Credit dynamics in a first passage time model with jumps

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Author Info

  • Packham, Natalie
  • Schlögl, Lutz
  • Schmidt, Wolfgang M.

Abstract

The payoff of many credit derivatives depends on the level of credit spreads. In particular, the payoff of credit derivatives with a leverage component is sensitive to jumps in the underlying credit spreads. In the framework of first passage time models we extend the model introduced in [Overbeck and Schmidt, 2005] to address these issues. In the extended a model, a credit quality process is driven by an Itô integral with respect to a Brownian motion with stochastic volatility. Using a representation of the credit quality process as a time-changed Brownian motion, we derive formulas for conditional default probabilities and credit spreads. An example for a volatility process is the square root of a Lévy-driven Ornstein-Uhlenbeck process. We show that jumps in the volatility translate into jumps in credit spreads. We examine the dynamics of the OS-model and the extended model and provide examples. --

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Bibliographic Info

Paper provided by Frankfurt School of Finance and Management, Centre for Practical Quantitative Finance (CPQF) in its series CPQF Working Paper Series with number 21.

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Date of creation: 2009
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Handle: RePEc:zbw:cpqfwp:21

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Related research

Keywords: gap risk; credit spreads; credit dynamics; first passage time models; Lévy processes; general Ornstein-Uhlenbeck processes;

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References

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  1. Wollersheim, Jutta & Barthel, Erich, 2008. "Kulturunterschiede bei Mergers & Acquisitions: Entwicklung eines Konzeptes zur Durchführung einer Cultural Due Diligence," Frankfurt School - Working Paper Series 94, Frankfurt School of Finance and Management.
  2. Ansgar Belke & Thorsten Polleit, 2006. "How the ECB and the US Fed Set Interest Rates," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 269/2006, Department of Economics, University of Hohenheim, Germany.
  3. Demidova-Menzel, Nadeshda & Heidorn, Thomas, 2007. "Gold in the investment portfolio," Frankfurt School - Working Paper Series 87, Frankfurt School of Finance and Management.
  4. Schanz, Kay-Michael & Richard, Jörg & Schalast, Christoph, 2004. "Unternehmen im Prime Standard staying public oder going private? Nutzenanalyse der Börsennotiz," Frankfurt School - Working Paper Series 60, Frankfurt School of Finance and Management.
  5. Schanz, Kay-Michael & Schalast, Christoph, 2006. "Wertpapierprospekte: Markteinführungspublizität nach EU-Prospektverordnung und Wertpapierprospektgesetz 2005," Frankfurt School - Working Paper Series 74, Frankfurt School of Finance and Management.
  6. Schalast, Christoph & Tiemann, Marcel & Tuppi, Pascal, 2009. "Staatsfonds - neue Akteure an den Finanzmärkten?," Frankfurt School - Working Paper Series 114, Frankfurt School of Finance and Management.
  7. Bannier, Christina E., 2009. "Is there a hold-up benefit in heterogeneous multiple bank financing?," Frankfurt School - Working Paper Series 117, Frankfurt School of Finance and Management.
  8. Roßbach, Peter, 2009. "Die Rolle des Internets als Informationsbeschaffungsmedium in Banken," Frankfurt School - Working Paper Series 120, Frankfurt School of Finance and Management.
  9. Anders, Dietmar & Binder, Andreas & Hesdahl, Ralf & Schalast, Christoph & Thöne, Thomas, 2004. "Aktuelle Fragen des Bank- und Kapitalmarktrechts I: Non-Performing-Loans/Faule Kredite - Handel, Work-Out, Outsourcing und Securitisation," Frankfurt School - Working Paper Series 54, Frankfurt School of Finance and Management.
  10. Hankir, Yassin & Rauch, Christian & Umber, Marc P., 2009. "It's the market power, stupid! Stock return patterns in international bank M&A," Frankfurt School - Working Paper Series 129, Frankfurt School of Finance and Management.
  11. Roßbach, Peter & Gießamer, Dirk, 2009. "Ein eLearning-System zur Unterstützung der Wissensvermittlung von Web-Entwicklern in Sicherheitsthemen," Frankfurt School - Working Paper Series 116, Frankfurt School of Finance and Management.
  12. Bannier, Christina E., 2007. "Heterogeneous multiple bank financing: does it reduce inefficient credit-renegotation incidences?," Frankfurt School - Working Paper Series 83, Frankfurt School of Finance and Management.
  13. Schalast, Christoph & Ockens, Klaas & Jobe, Clemens J. & Safran, Robert, 2006. "Work-out und Servicing von notleidenden Krediten: Berichte und Referate des HfB-NPL Servicing Forums 2006," Frankfurt School - Working Paper Series 76, Frankfurt School of Finance and Management.
  14. Hirsch, Christian & Bannier, Christina E., 2007. "The economics of rating watchlists: evidence from rating changes," Frankfurt School - Working Paper Series 88, Frankfurt School of Finance and Management.
  15. Heidorn, Thomas & Schmaltz, Christian & Kunze, Wolfgang, 2008. "Liquiditätsmodellierung von Kreditzusagen (term facilities and revolver)," Frankfurt School - Working Paper Series 93, Frankfurt School of Finance and Management.
  16. Bannier, Christina E. & Hänsel, Dennis N., 2007. "Determinants of banks' engagement in loan securitization," Frankfurt School - Working Paper Series 85, Frankfurt School of Finance and Management.
  17. Ansgar Belke & Thorsten Polleit, 2005. "(How) Do Stock Market Returns React to Monetary Policy? - An ARDL Cointegration Analysis for Germany," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 253/2005, Department of Economics, University of Hohenheim, Germany.
  18. Das, Sanjiv R., 2002. "The surprise element: jumps in interest rates," Journal of Econometrics, Elsevier, vol. 106(1), pages 27-65, January.
  19. Heidorn, Thomas & Siragusano, Tindaro, 2004. "Die Anwendbarkeit der Behavioral Finance im Devisenmarkt," Frankfurt School - Working Paper Series 52, Frankfurt School of Finance and Management.
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Citations

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Cited by:
  1. Boeing, Philipp & Mueller, Elisabeth & Sandner, Philipp, 2012. "What makes Chinese firms productive? Learning from indigenous and foreign sources of knowledge," Frankfurt School - Working Paper Series 196, Frankfurt School of Finance and Management.
  2. Dietmar Harhoff & Elisabeth Mueller & John Van Reenen, 2013. "What are the channels for technology sourcing? Panel data evidence from German companies," LSE Research Online Documents on Economics 51524, London School of Economics and Political Science, LSE Library.
  3. Kostka, Genia & Moslener, Ulf & Andreas, Jan G., 2011. "Barriers to energy efficiency improvement: Empirical evidence from small-and-medium sized enterprises in China," Frankfurt School - Working Paper Series 178, Frankfurt School of Finance and Management.
  4. Alexander Libman & Vladimir Kozlov & André Schultz, 2012. "Roving Bandits in Action: Outside Option and Governmental Predation in Autocracies," Kyklos, Wiley Blackwell, vol. 65(4), pages 526-562, November.
  5. Inklaar, Robert & Koetter, Michael & Noth, Felix, 2012. "Who's afraid of big bad banks? Bank competition, SME, and industry growth," Frankfurt School - Working Paper Series 197, Frankfurt School of Finance and Management.
  6. Böing, Philipp & Müller, Elisabeth, 2012. "Technological Capabilities of Chinese Enterprises: Who is Going to Compete Abroad?," Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62081, Verein für Socialpolitik / German Economic Association.
  7. Harhoff, Dietmar, 2012. "What are the Channels for Technology Sourcing? Panel Data Evidence from German Companies," Discussion Papers in Business Administration 14327, University of Munich, Munich School of Management.

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