IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1701.04565.html
   My bibliography  Save this paper

Time Reversal and Last Passage Time of Diffusions with Applications to Credit Risk Management

Author

Listed:
  • Masahiko Egami
  • Rusudan Kevkhishvili

Abstract

We study time reversal, last passage time, and $h$-transform of linear diffusions. For general diffusions with killing, we obtain the probability density of the last passage time to an arbitrary level and analyze the distribution of the time left until killing after the last passage time. With these tools, we develop a new risk management framework for companies based on the leverage process (the ratio of a company asset process over its debt) and its corresponding alarming level. We also suggest how a company can determine the alarming level for the leverage process by constructing a relevant optimization problem.

Suggested Citation

  • Masahiko Egami & Rusudan Kevkhishvili, 2017. "Time Reversal and Last Passage Time of Diffusions with Applications to Credit Risk Management," Papers 1701.04565, arXiv.org, revised Feb 2019.
    • Handle: RePEc:arx:papers:1701.04565
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1701.04565
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jin‐Chuan Duan, 2000. "Correction: Maximum Likelihood Estimation Using Price Data of the Derivative Contract (Mathematical Finance 1994, 4/2, 155–167)," Mathematical Finance, Wiley Blackwell, vol. 10(4), pages 461-462, October.
    2. Jin‐Chuan Duan, 1994. "Maximum Likelihood Estimation Using Price Data Of The Derivative Contract," Mathematical Finance, Wiley Blackwell, vol. 4(2), pages 155-167, April.
    3. Florin Avram & Zbigniew Palmowski & Martijn R. Pistorius, 2007. "On the optimal dividend problem for a spectrally negative L\'{e}vy process," Papers math/0702893, arXiv.org.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kanno, Masayasu, 2020. "Interconnectedness and systemic risk in the US CDS market," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    2. Sangwon Suh & Inwon Jang & Misun Ahn, 2013. "A Simple Method For Measuring Systemic Risk Using Credit Default Swap Market Data," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 38(4), pages 75-100, December.
    3. Christodoulakis, George A. & Olupeka, Taiwo, 2010. "Pricing and momentum of syndicated credit in Europe," Omega, Elsevier, vol. 38(5), pages 325-332, October.
    4. Chuang‐Chang Chang & San‐Lin Chung & Ruey‐Jenn Ho & Yu‐Jen Hsiao, 2022. "Revisiting the valuation of deposit insurance," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(1), pages 77-103, January.
    5. Forte, Santiago & Lovreta, Lidija, 2012. "Endogenizing exogenous default barrier models: The MM algorithm," Journal of Banking & Finance, Elsevier, vol. 36(6), pages 1639-1652.
    6. Buch, Claudia M. & Körner, Tobias & Weigert, Benjamin, 2013. "Towards Deeper Financial Integration in Europe: What the Banking Union Can Contribute," IWH Discussion Papers 13/2013, Halle Institute for Economic Research (IWH).
    7. Varotto, Simone & Zhao, Lei, 2018. "Systemic risk and bank size," Journal of International Money and Finance, Elsevier, vol. 82(C), pages 45-70.
    8. Saldías, Martín, 2013. "Systemic risk analysis using forward-looking Distance-to-Default series," Journal of Financial Stability, Elsevier, vol. 9(4), pages 498-517.
    9. Reint Gropp & Marco Lo Duca & Jukka Vesala, 2009. "Cross-Border Bank Contagion in Europe," International Journal of Central Banking, International Journal of Central Banking, vol. 5(1), pages 97-139, March.
    10. Alina Sima (Grigore) & Alin Sima, 2011. "Distance to Default Estimates for Romanian Listed Companies," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 3(2), pages 091-106, December.
    11. Daniel Dimitrov & Sweder van Wijnbergen, 2022. "Quantifying Systemic Risk in the Presence of Unlisted Banks: Application to the Dutch Financial Sector," Tinbergen Institute Discussion Papers 22-034/VI, Tinbergen Institute.
    12. Gauthier, Céline & Lehar, Alfred & Souissi, Moez, 2012. "Macroprudential capital requirements and systemic risk," Journal of Financial Intermediation, Elsevier, vol. 21(4), pages 594-618.
    13. Zhou, Xinghua & Reesor, R. Mark, 2015. "Misrepresentation and capital structure: Quantifying the impact on corporate debt value," Journal of Corporate Finance, Elsevier, vol. 34(C), pages 293-310.
    14. Jin-Chuan Duan & Andras Fulop, 2005. "Estimating the Structural Credit Risk Model When Equity Prices Are Contaminated by Trading Noises," CERS-IE WORKING PAPERS 0517, Institute of Economics, Centre for Economic and Regional Studies.
    15. Laeven, Luc, 2002. "International evidence on the value of deposit insurance," The Quarterly Review of Economics and Finance, Elsevier, vol. 42(4), pages 721-732.
    16. Marcelo Yoshio Takami & Benjamin Miranda Tabak, 2006. "Avaliação Do Risco Sistêmico Do Setor Bancário Brasileiro," Anais do XXXIV Encontro Nacional de Economia [Proceedings of the 34th Brazilian Economics Meeting] 96, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    17. Nguyen, Duc Nguyen & Nguyen, Canh Phuc & Dang, Le Phuong Xuan, 2022. "Uncertainty and corporate default risk: Novel evidence from emerging markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 78(C).
    18. Duan, Jin-Chuan & Simonato, Jean-Guy, 2002. "Maximum likelihood estimation of deposit insurance value with interest rate risk," Journal of Empirical Finance, Elsevier, vol. 9(1), pages 109-132, January.
    19. Bartram, Sohnke M. & Brown, Gregory W. & Hund, John E., 2007. "Estimating systemic risk in the international financial system," Journal of Financial Economics, Elsevier, vol. 86(3), pages 835-869, December.
    20. Qi, Howard & Liu, Sheen & Wu, Chunchi, 2010. "Structural models of corporate bond pricing with personal taxes," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1700-1718, July.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1701.04565. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.