IDEAS home Printed from https://ideas.repec.org/p/zbw/cpqfwp/21.html
   My bibliography  Save this paper

Credit dynamics in a first passage time model with jumps

Author

Listed:
  • 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.

Suggested Citation

  • Packham, Natalie & Schlögl, Lutz & Schmidt, Wolfgang M., 2009. "Credit dynamics in a first passage time model with jumps," CPQF Working Paper Series 21, Frankfurt School of Finance and Management, Centre for Practical Quantitative Finance (CPQF).
  • Handle: RePEc:zbw:cpqfwp:21
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/40190/1/614452759.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Das, Sanjiv R., 2002. "The surprise element: jumps in interest rates," Journal of Econometrics, Elsevier, vol. 106(1), pages 27-65, January.
    2. Demidova-Menzel, Nadeshda & Heidorn, Thomas, 2007. "Gold in the investment portfolio," Frankfurt School - Working Paper Series 87, Frankfurt School of Finance and Management.
    3. 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.
    4. 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.
    5. Ansgar Belke & Thorsten Polleit, 2007. "How the ECB and the US Fed set interest rates," Applied Economics, Taylor & Francis Journals, vol. 39(17), pages 2197-2209.
    6. 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.
    7. 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.
    8. Hirsch, Christian & Bannier, Christina E., 2007. "The economics of rating watchlists: Evidence from rating changes," CFS Working Paper Series 2008/02, Center for Financial Studies (CFS).
    9. Heidorn, Thomas & Siragusano, Tindaro, 2004. "Die Anwendbarkeit der Behavioral Finance im Devisenmarkt," Frankfurt School - Working Paper Series 52, 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. 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.
    12. Christina E. Bannier, 2010. "Is there a Holdup Benefit in Heterogeneous Multiple Bank Financing?," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 166(4), pages 641-661, December.
    13. 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.
    14. Christina Bannier, 2007. "Heterogeneous multiple bank financing: does it reduce inefficient credit-renegotiation incidences?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 21(4), pages 445-470, December.
    15. 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.
    16. Roßbach, Peter, 2009. "Die Rolle des Internets als Informationsbeschaffungsmedium in Banken," Frankfurt School - Working Paper Series 120, Frankfurt School of Finance and Management.
    17. 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.
    18. 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.
    19. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Dietmar Harhoff & Elisabeth Mueller & John Reenen, 2014. "What are the Channels for Technology Sourcing? Panel Data Evidence from German Companies," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(1), pages 204-224, March.
    3. 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.
    4. 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.
    5. 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.
    6. Yu, Xiaofan, 2011. "A spatial interpretation of the persistency of China's provincial inequality," Frankfurt School - Working Paper Series 171, Frankfurt School of Finance and Management.
    7. 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.

    More about this item

    Keywords

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

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage
    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:cpqfwp:21. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - German National Library of Economics). General contact details of provider: http://edirc.repec.org/data/hfbfide.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.