IDEAS home Printed from https://ideas.repec.org/p/arx/papers/nlin-0205011.html
   My bibliography  Save this paper

Portfolio Allocation to Corporate Bonds with Correlated Defaults

Author

Listed:
  • Mark B. Wise
  • Vineer Bhansali

Abstract

This article deals with the problem of optimal allocation of capital to corporate bonds in fixed income portfolios when there is the possibility of correlated defaults. Under fairly general assumptions for the distribution of the total net assets of a set of firms we show that retaining the first few moments of the portfolio default loss distribution gives an extremely good approximation to the full solution of the asset allocation problem. We provide detailed results on the convergence of the moment expansion. We also provide explicit results for the inverse problem, i.e. for a given allocation to the set of risky bonds, what is the average risk premium required to make the portfolio optimal. Numerous numerical illustrations exhibit the results for realistic portfolios and utility functions.

Suggested Citation

  • Mark B. Wise & Vineer Bhansali, 2002. "Portfolio Allocation to Corporate Bonds with Correlated Defaults," Papers nlin/0205011, arXiv.org, revised Jun 2002.
    • Handle: RePEc:arx:papers:nlin/0205011
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/nlin/0205011
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    2. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    3. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    4. Zhou, Chunsheng, 2001. "An Analysis of Default Correlations and Multiple Defaults," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 555-576.
    5. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    6. Altman, Edward I, 1989. " Measuring Corporate Bond Mortality and Performance," Journal of Finance, American Finance Association, vol. 44(4), pages 909-922, September.
    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 & Christoph Frei, 2017. "Systemic Influences on Optimal Equity-Credit Investment," Management Science, INFORMS, vol. 63(8), pages 2756-2771, August.
    2. Mark B. Wise & Vineer Bhansali, 2002. "Implications of Correlated Default For Portfolio Allocation To Corporate Bonds," Papers nlin/0209010, 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. Kay Giesecke & Baeho Kim & Jack Kim & Gerry Tsoukalas, 2014. "Optimal Credit Swap Portfolios," Management Science, INFORMS, vol. 60(9), pages 2291-2307, September.
    5. Lijun Bo & Agostino Capponi, 2017. "Optimal Credit Investment with Borrowing Costs," Mathematics of Operations Research, INFORMS, vol. 42(2), pages 546-575, May.

    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. Mark B. Wise & Vineer Bhansali, 2002. "Implications of Correlated Default For Portfolio Allocation To Corporate Bonds," Papers nlin/0209010, arXiv.org.
    2. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
    3. 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.
    4. 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.
    5. Ulrich Erlenmaier & Hans Gersbach, 2014. "Default Correlations in the Merton Model," Review of Finance, European Finance Association, vol. 18(5), pages 1775-1809.
    6. Gady Jacoby & Chuan Liao & Jonathan A. Batten, 2007. "A Pure Test for the Elasticity of Yield Spreads," The Institute for International Integration Studies Discussion Paper Series iiisdp195, IIIS.
    7. Zhijian (James) Huang & Yuchen Luo, 2016. "Revisiting Structural Modeling of Credit Risk—Evidence from the Credit Default Swap (CDS) Market," JRFM, MDPI, vol. 9(2), pages 1-20, May.
    8. Correia, Ricardo & Población, Javier, 2015. "A structural model with Explicit Distress," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 112-130.
    9. Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
    10. Dionne, Georges & Laajimi, Sadok, 2012. "On the determinants of the implied default barrier," Journal of Empirical Finance, Elsevier, vol. 19(3), pages 395-408.
    11. Vink, Dennis, 2007. "An Empirical Analysis of Asset-Backed Securitization," MPRA Paper 10382, University Library of Munich, Germany, revised 25 Aug 2008.
    12. SHAH, Syed Muhammad Noaman Ahmed & KEBEWAR, mazen, 2013. "US Corporate Bond Yield Spread: A default risk debate," MPRA Paper 44887, University Library of Munich, Germany.
    13. 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.
    14. Nijskens, Rob & Mokas, Dimitris, 2019. "Credit Risk in Commercial Real Estate Bank Loans : The Role of Idiosyncratic versus Macro-Economic Factors," Other publications TiSEM ea4f2f0e-dc50-4987-91d3-6, Tilburg University, School of Economics and Management.
    15. Batten, Jonathan & Hogan, Warren, 2002. "A perspective on credit derivatives," International Review of Financial Analysis, Elsevier, vol. 11(3), pages 251-278.
    16. Duarte, Jefferson & Longstaff, Francis A. & Yu, Fan, 2005. "Risk and Return in Fixed Income Arbitage: Nickels in Front of a Steamroller?," University of California at Los Angeles, Anderson Graduate School of Management qt6zx6m7fp, Anderson Graduate School of Management, UCLA.
    17. Lara Cathcart & Lina El-Jahel, 2006. "Pricing defaultable bonds: a middle-way approach between structural and reduced-form models," Quantitative Finance, Taylor & Francis Journals, vol. 6(3), pages 243-253.
    18. Tsung-Kang Chen & Hsien-Hsing Liao & Chia-Wu Lu, 2011. "A flow-based corporate credit model," Review of Quantitative Finance and Accounting, Springer, vol. 36(4), pages 517-532, May.
    19. Nakashima, Kiyotaka & Saito, Makoto, 2009. "Credit spreads on corporate bonds and the macroeconomy in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 23(3), pages 309-331, September.
    20. T. C. Wong & C. H. Hui & C. F. Lo, 2009. "Discriminatory Power and Predictions of Defaults of Structural Credit Risk Models," Working Papers 342009, Hong Kong Institute for Monetary Research.

    More about this item

    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:nlin/0205011. 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.