IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v45y2009i1-2p147-167.html
   My bibliography  Save this article

Asset allocation with contagion and explicit bankruptcy procedures

Author

Listed:
  • Kraft, Holger
  • Steffensen, Mogens

Abstract

In this paper, we consider the asset allocation problem of an investor allocating his funds between several corporate bonds and a money market account. In particular, we provide a realistic model of financial distress: firstly, we model Chapter 7 and Chapter 11 bankruptcies as different possible outcomes of financial distress. Secondly, we take into consideration that, in practice, "default" is not the end, but the beginning of financial distress, eventually leading to a reorganization or a liquidation of a distressed firm. Thirdly and most importantly, we are able to analyze the impact of contagion on an investor's demand for corporate bonds. Contagion is an important phenomenon, as it reduces the investor's ability to diversify his portfolio, and we show that the bond demand can change by more than 50%.

Suggested Citation

  • Kraft, Holger & Steffensen, Mogens, 2009. "Asset allocation with contagion and explicit bankruptcy procedures," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 147-167, January.
  • Handle: RePEc:eee:mateco:v:45:y:2009:i:1-2:p:147-167
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(08)00083-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Norberg, Ragnar, 2003. "The Markov Chain Market," ASTIN Bulletin, Cambridge University Press, vol. 33(2), pages 265-287, November.
    2. Fan Yu, 2007. "Correlated Defaults In Intensity‐Based Models," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 155-173, April.
    3. Jun Liu & Francis A. Longstaff & Jun Pan, 2003. "Dynamic Asset Allocation with Event Risk," Journal of Finance, American Finance Association, vol. 58(1), pages 231-259, February.
    4. 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..
    5. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
    6. Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June.
    7. 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..
    8. Young Ho Eom, 2004. "Structural Models of Corporate Bond Pricing: An Empirical Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 499-544.
    9. Michael J. Brennan & Yihong Xia, 2000. "Stochastic Interest Rates and the Bond-Stock Mix," Review of Finance, European Finance Association, vol. 4(2), pages 197-210.
    10. Xin Guo & Robert A. Jarrow & Yan Zeng, 2009. "Modeling The Recovery Rate In A Reduced Form Model," Mathematical Finance, Wiley Blackwell, vol. 19(1), pages 73-97, January.
    11. Dirk Becherer & Martin Schweizer, 2005. "Classical solutions to reaction-diffusion systems for hedging problems with interacting Ito and point processes," Papers math/0505208, arXiv.org.
    12. Longstaff, Francis A, 2001. "Optimal Portfolio Choice and the Valuation of Illiquid Securities," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 407-431.
    13. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    14. Sørensen, Carsten, 1999. "Dynamic Asset Allocation and Fixed Income Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(4), pages 513-531, December.
    15. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    16. Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515, World Scientific Publishing Co. Pte. Ltd..
    17. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    18. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    19. Kraft, Holger & Steffensen, Mogens, 2008. "How to invest optimally in corporate bonds: A reduced-form approach," Journal of Economic Dynamics and Control, Elsevier, vol. 32(2), pages 348-385, February.
    20. Albert S. Kyle & Wei Xiong, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, August.
    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. Agostino Capponi & José Figueroa-López & Andrea Pascucci, 2015. "Dynamic credit investment in partially observed markets," Finance and Stochastics, Springer, vol. 19(4), pages 891-939, October.
    2. Agostino Capponi & Lijun Bo, 2016. "Robust Optimization of Credit Portfolios," Papers 1603.08169, arXiv.org.
    3. Justin A. Sirignano & Gerry Tsoukalas & Kay Giesecke, 2016. "Large-Scale Loan Portfolio Selection," Operations Research, INFORMS, vol. 64(6), pages 1239-1255, December.
    4. Kraft, Holger & Weiss, Farina, 2023. "Pandemic portfolio choice," European Journal of Operational Research, Elsevier, vol. 305(1), pages 451-462.
    5. Agostino Capponi & Christoph Frei, 2017. "Systemic Influences on Optimal Equity-Credit Investment," Management Science, INFORMS, vol. 63(8), pages 2756-2771, August.
    6. Branger, Nicole & Kraft, Holger & Meinerding, Christoph, 2009. "What is the impact of stock market contagion on an investor's portfolio choice?," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 94-112, August.
    7. Branger, Nicole & Kraft, Holger & Meinerding, Christoph, 2014. "Partial information about contagion risk, self-exciting processes and portfolio optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 18-36.
    8. Edirisinghe, Chanaka & Gupta, Aparna & Roth, Wendy, 2015. "Risk assessment based on the analysis of the impact of contagion flow," Journal of Banking & Finance, Elsevier, vol. 60(C), pages 209-223.
    9. Lijun Bo & Agostino Capponi, 2017. "Robust Optimization of Credit Portfolios," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 30-56, January.
    10. Patrick Konermann & Christoph Meinerding & Olga Sedova, 2013. "Asset allocation in markets with contagion: The interplay between volatilities, jump intensities, and correlations," Review of Financial Economics, John Wiley & Sons, vol. 22(1), pages 36-46, January.
    11. Chen, Yu & Jin, Shuyue & Wang, Xiasi, 2021. "Solvency contagion risk in the Chinese commercial banks’ network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    12. Lijun Bo & Huafu Liao & Xiang Yu, 2017. "Risk Sensitive Portfolio Optimization with Default Contagion and Regime-Switching," Papers 1712.05676, arXiv.org, revised Oct 2018.
    13. Giovanni W. Puopolo, 2015. "Portfolio Selection with Transaction Costs and Default Risk," CSEF Working Papers 414, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.

    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. repec:wyi:journl:002109 is not listed on IDEAS
    2. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    3. Kraft, Holger & Steffensen, Mogens, 2008. "How to invest optimally in corporate bonds: A reduced-form approach," Journal of Economic Dynamics and Control, Elsevier, vol. 32(2), pages 348-385, February.
    4. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    5. Jose Giancarlo Gasha & Mr. Andre O Santos & Mr. Jorge A Chan-Lau & Mr. Carlos I. Medeiros & Mr. Marcos R Souto & Christian Capuano, 2009. "Recent Advances in Credit Risk Modeling," IMF Working Papers 2009/162, International Monetary Fund.
    6. Giesecke, Kay & Longstaff, Francis A. & Schaefer, Stephen & Strebulaev, Ilya, 2011. "Corporate bond default risk: A 150-year perspective," Journal of Financial Economics, Elsevier, vol. 102(2), pages 233-250.
    7. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    8. Kay Giesecke & Francis A. Longstaff & Stephen Schaefer & Ilya Strebulaev, 2010. "Corporate Bond Default Risk: A 150-Year Perspective," NBER Working Papers 15848, National Bureau of Economic Research, Inc.
    9. Stephen Zamore & Kwame Ohene Djan & Ilan Alon & Bersant Hobdari, 2018. "Credit Risk Research: Review and Agenda," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 54(4), pages 811-835, March.
    10. Alain Monfort & Fulvio Pegoraro & Jean-Paul Renne & Guillaume Roussellet, 2021. "Affine Modeling of Credit Risk, Pricing of Credit Events, and Contagion," Management Science, INFORMS, vol. 67(6), pages 3674-3693, June.
    11. Jobst, Norbert J. & Zenios, Stavros A., 2005. "On the simulation of portfolios of interest rate and credit risk sensitive securities," European Journal of Operational Research, Elsevier, vol. 161(2), pages 298-324, March.
    12. Dragon Tang & Hong Yan, 2006. "Macroeconomic Conditions, Firm Characteristics, and Credit Spreads," Journal of Financial Services Research, Springer;Western Finance Association, vol. 29(3), pages 177-210, June.
    13. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    14. Nystrom, Kaj & Skoglund, Jimmy, 2006. "A credit risk model for large dimensional portfolios with application to economic capital," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2163-2197, August.
    15. International Association of Deposit Insurers, 2011. "Evaluation of Deposit Insurance Fund Sufficiency on the Basis of Risk Analysis," IADI Research Papers 11-11, International Association of Deposit Insurers.
    16. Esteghamat, Kian, 2003. "A boundary crossing model of counterparty risk," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1771-1799, August.
    17. Gunter Meissner & Seth Rooder & Kristofor Fan, 2013. "The impact of different correlation approaches on valuing credit default swaps with counterparty risk," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1903-1913, December.
    18. Jennie Bai & Pierre Collin-Dufresne & Robert S. Goldstein & Jean Helwege, 2012. "On bounding credit event risk premia," Staff Reports 577, Federal Reserve Bank of New York.
    19. Ma, Chaoqun & Ma, Zonggang & Xiao, Shisong, 2019. "A closed-form pricing formula for vulnerable European options under stochastic yield spreads and interest rates," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 59-68.
    20. Leonard Tchuindjo, 2007. "Pricing of Multi-Defaultable Bonds with a Two-Correlated-Factor Hull-White Model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(1), pages 19-39.
    21. Alain Monfort & Jean-Paul Renne, 2013. "Default, Liquidity, and Crises: an Econometric Framework," Journal of Financial Econometrics, Oxford University Press, vol. 11(2), pages 221-262, March.

    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:eee:mateco:v:45:y:2009:i:1-2:p:147-167. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.