IDEAS home Printed from https://ideas.repec.org/a/bla/eufman/v23y2017i5p873-901.html
   My bibliography  Save this article

Liquidity Risk and Volatility Risk in Credit Spread Models: A Unified Approach

Author

Listed:
  • Stylianos Perrakis
  • Rui Zhong

Abstract

We present an integrated framework incorporating both exogenous liquidity risk in the secondary corporate bond market and volatility risk in the dynamics of asset value in debt rollover models. Using an innovative theoretical approach we derive general expressions for the debt and equity values in all cases. Taking advantage of the analytical expressions for the asset value with the constant elasticity of variance (CEV) process, we show numerically using realistic parameter values from empirical studies that volatility risk, together with deteriorating bond market liquidity, decreases both debt and equity values and significantly increases the credit spreads.

Suggested Citation

  • Stylianos Perrakis & Rui Zhong, 2017. "Liquidity Risk and Volatility Risk in Credit Spread Models: A Unified Approach," European Financial Management, European Financial Management Association, vol. 23(5), pages 873-901, October.
    • Handle: RePEc:bla:eufman:v:23:y:2017:i:5:p:873-901
    DOI: 10.1111/eufm.12127
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/eufm.12127
    Download Restriction: no
    File URL: https://libkey.io/10.1111/eufm.12127?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Zhiguo He & Konstantin Milbradt, 2014. "Endogenous Liquidity and Defaultable Bonds," Econometrica, Econometric Society, vol. 82(4), pages 1443-1508, July.
    2. Sheridan Titman & Sergey Tsyplakov, 2007. "A Dynamic Model of Optimal Capital Structure," Review of Finance, European Finance Association, vol. 11(3), pages 401-451.
    3. 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.
    4. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    5. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    6. 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.
    7. 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.
    8. Benjamin Yibin Zhang & Hao Zhou & Haibin Zhu, 2009. "Explaining Credit Default Swap Spreads with the Equity Volatility and Jump Risks of Individual Firms," Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5099-5131, December.
    9. Viral V. Acharya & Douglas Gale & Tanju Yorulmazer, 2011. "Rollover Risk and Market Freezes," Journal of Finance, American Finance Association, vol. 66(4), pages 1177-1209, August.
    10. Pierre Collin‐Dufresne & Robert S. Goldstein, 2001. "Do Credit Spreads Reflect Stationary Leverage Ratios?," Journal of Finance, American Finance Association, vol. 56(5), pages 1929-1957, October.
    11. Rene M. Stulz, 2010. "Credit Default Swaps and the Credit Crisis," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 73-92, Winter.
    12. 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.
    13. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    14. Hayne E. Leland., 1998. "Agency Costs, Risk Management, and Capital Structure," Research Program in Finance Working Papers RPF-278, University of California at Berkeley.
    15. Long Chen & David A. Lesmond & Jason Wei, 2007. "Corporate Yield Spreads and Bond Liquidity," Journal of Finance, American Finance Association, vol. 62(1), pages 119-149, February.
    16. Jing-Zhi Huang & Ming Huang, 2012. "How Much of the Corporate-Treasury Yield Spread Is Due to Credit Risk?," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 2(2), pages 153-202.
    17. Jan Ericsson & Olivier Renault, 2006. "Liquidity and Credit Risk," Journal of Finance, American Finance Association, vol. 61(5), pages 2219-2250, October.
    18. Perrakis, Stylianos & Zhong, Rui, 2015. "Credit spreads and state-dependent volatility: Theory and empirical evidence," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 215-231.
    19. Hayne E. Leland, 1998. "Agency Costs, Risk Management, and Capital Structure," Journal of Finance, American Finance Association, vol. 53(4), pages 1213-1243, August.
    20. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    21. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
    22. Alexander Lipton, 2001. "Mathematical Methods for Foreign Exchange:A Financial Engineer's Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 4694, February.
    23. Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 461-474, September.
    24. Jack Bao & Jun Pan & Jiang Wang, 2011. "The Illiquidity of Corporate Bonds," Journal of Finance, American Finance Association, vol. 66(3), pages 911-946, June.
    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. Konstantinos Konstantaras & Vasilios Sogiakas, 2019. "Is stock liquidity transferred and upgraded in acquisitions? Evidence from liquidity synergies in US freeze-outs," Annals of Operations Research, Springer, vol. 282(1), pages 179-216, November.

    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. Perrakis, Stylianos & Zhong, Rui, 2015. "Credit spreads and state-dependent volatility: Theory and empirical evidence," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 215-231.
    2. Han, Bing & Zhou, Yi, 2015. "Understanding the term structure of credit default swap spreads," Journal of Empirical Finance, Elsevier, vol. 31(C), pages 18-35.
    3. Goldstein, Michael A. & Namin, Elmira Shekari, 2023. "Corporate bond liquidity and yield spreads: A review," Research in International Business and Finance, Elsevier, vol. 65(C).
    4. Zhiguo He & Wei Xiong, 2012. "Rollover Risk and Credit Risk," Journal of Finance, American Finance Association, vol. 67(2), pages 391-430, April.
    5. Murphy, Austin & Headley, Adrian, 2022. "An empirical evaluation of alternative fundamental models of credit spreads," International Review of Financial Analysis, Elsevier, vol. 81(C).
    6. Christopher L. Culp & Yoshio Nozawa & Pietro Veronesi, 2014. "Option-Based Credit Spreads," NBER Working Papers 20776, National Bureau of Economic Research, Inc.
    7. Peter M. Demarzo & Zhiguo He, 2021. "Leverage Dynamics without Commitment," Journal of Finance, American Finance Association, vol. 76(3), pages 1195-1250, June.
    8. Hui Chen & Yu Xu & Jun Yang, 2012. "Systematic Risk, Debt Maturity, and the Term Structure of Credit Spreads," NBER Working Papers 18367, National Bureau of Economic Research, Inc.
    9. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    10. 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.
    11. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    12. 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.
    13. Chen, Hui & Xu, Yu & Yang, Jun, 2021. "Systematic risk, debt maturity, and the term structure of credit spreads," Journal of Financial Economics, Elsevier, vol. 139(3), pages 770-799.
    14. Jing-Zhi Huang & Zhan Shi & Hao Zhou, 2020. "Specification Analysis of Structural Credit Risk Models [Corporate bond valuation and hedging with stochastic interest rates and endogenous bankruptcy]," Review of Finance, European Finance Association, vol. 24(1), pages 45-98.
    15. Gemmill, Gordon & Marra, Miriam, 2019. "Explaining CDS prices with Merton’s model before and after the Lehman default," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 93-109.
    16. repec:wyi:journl:002109 is not listed on IDEAS
    17. Sheen X. Liu & Howard Qi & Chunchi Wu, 2006. "Personal Taxes, Endogenous Default, and Corporate Bond Yield Spreads," Management Science, INFORMS, vol. 52(6), pages 939-954, June.
    18. Niu, Huawei & Hua, Wei, 2019. "An endogenous structural credit risk model incorporating with moral hazard and rollover risk," Economic Modelling, Elsevier, vol. 78(C), pages 47-59.
    19. Abudy, Menachem Meni & Raviv, Alon, 2016. "How much can illiquidity affect corporate debt yield spread?," Journal of Financial Stability, Elsevier, vol. 25(C), pages 58-69.
    20. Augustin, Patrick & Subrahmanyam, Marti G. & Tang, Dragon Yongjun & Wang, Sarah Qian, 2014. "Credit Default Swaps: A Survey," Foundations and Trends(R) in Finance, now publishers, vol. 9(1-2), pages 1-196, December.
    21. Stephanie Heck, 2022. "Corporate bond yields and returns: a survey," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 36(2), pages 179-201, June.

    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:bla:eufman:v:23:y:2017:i:5:p:873-901. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/efmaaea.html .

    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.