IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i20p4397-d1265446.html
   My bibliography  Save this article

Default Probabilities and the Credit Spread of Mexican Companies: The Modified Merton Model

Author

Listed:
  • Paula Morales-Bañuelos

    (Departamento de Estudios Empresariales, Universidad Iberoamericana CDMX, Mexico City 01219, Mexico)

  • Guillermo Fernández-Anaya

    (Departamento de Física y Matemáticas, Universidad Iberoamericana CDMX, Mexico City 01219, Mexico)

Abstract

This study aims to identify the model that best approximates the credit spread that should be fixed on debt instruments issued by both companies listed on the Mexican Stock Market, considering the particularities of the Mexican market. Five models were analyzed: Merton’s model, Brownian Motion Model, Power Law Brownian Motion Model, Bloomberg’s model, and the model presented in this paper, which includes the conformable derivatives, taking as a reference the change in the variable as other authors have done, and the Bloomberg corporate default risk model (DRSK) for publics firms. We concluded that the modified Merton model approximates, to a greater extent, the credit spreads that fix on a prime rate on the loans granted to Mexican non-financial companies.

Suggested Citation

  • Paula Morales-Bañuelos & Guillermo Fernández-Anaya, 2023. "Default Probabilities and the Credit Spread of Mexican Companies: The Modified Merton Model," Mathematics, MDPI, vol. 11(20), pages 1-30, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4397-:d:1265446
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/20/4397/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/20/4397/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Róbert Štefko & Jarmila Horváthová & Martina Mokrišová, 2021. "The Application of Graphic Methods and the DEA in Predicting the Risk of Bankruptcy," JRFM, MDPI, vol. 14(5), pages 1-19, May.
    2. Stephanie Schmitt†Grohé & Martín Uribe, 2018. "How Important Are Terms†Of†Trade Shocks?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(1), pages 85-111, February.
    3. Mauricio Ulate, 2021. "Going Negative at the Zero Lower Bound: The Effects of Negative Nominal Interest Rates," American Economic Review, American Economic Association, vol. 111(1), pages 1-40, January.
    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. 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.
    6. Haque, Qazi & Magnusson, Leandro M., 2021. "Uncertainty shocks and inflation dynamics in the U.S," Economics Letters, Elsevier, vol. 202(C).
    7. 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.
    8. Leduc, Sylvain & Liu, Zheng, 2016. "Uncertainty shocks are aggregate demand shocks," Journal of Monetary Economics, Elsevier, vol. 82(C), pages 20-35.
    9. Joao Teixeira, 2007. "An empirical analysis of structural models of corporate debt pricing," Applied Financial Economics, Taylor & Francis Journals, vol. 17(14), pages 1141-1165.
    10. 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.
    11. Anderson, Ronald & Sundaresan, Suresh, 2000. "A comparative study of structural models of corporate bond yields: An exploratory investigation," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 255-269, January.
    12. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    13. 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.
    14. Joshua Coval & Jakub Jurek & Erik Stafford, 2009. "The Economics of Structured Finance," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 3-25, Winter.
    15. W. Heynderickx & J. Cariboni & W. Schoutens & B. Smits, 2016. "The relationship between risk-neutral and actual default probabilities: the credit risk premium," Applied Economics, Taylor & Francis Journals, vol. 48(42), pages 4066-4081, September.
    16. Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 541-552, November.
    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. 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.
    2. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    3. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    4. 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.
    5. van Landschoot, A., 2003. "The Term Structure of Credit Spreads on Euro Corporate Bonds," Other publications TiSEM f5164bb2-6597-48c4-8b44-d, Tilburg University, School of Economics and Management.
    6. Chen, Ren-Raw & Chidambaran, N.K. & Imerman, Michael B. & Sopranzetti, Ben J., 2014. "Liquidity, leverage, and Lehman: A structural analysis of financial institutions in crisis," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 117-139.
    7. Martin Dòzsa & Karel Janda, 2015. "Corporate asset pricing models and debt contracts," CAMA Working Papers 2015-33, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    8. Michael B. Imerman, 2020. "When enough is not enough: bank capital and the Too-Big-To-Fail subsidy," Review of Quantitative Finance and Accounting, Springer, vol. 55(4), pages 1371-1406, November.
    9. repec:wyi:journl:002109 is not listed on IDEAS
    10. van Landschoot, A., 2003. "The Term Structure of Credit Spreads on Euro Corporate Bonds," Discussion Paper 2003-046, Tilburg University, Center for Economic Research.
    11. Antonio Trujillo-Ponce & Reyes Samaniego-Medina & Clara Cardone-Riportella, 2014. "Examining what best explains corporate credit risk: accounting-based versus market-based models," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 15(2), pages 253-276, April.
    12. Forte, Santiago & Lovreta, Lidija, 2012. "Endogenizing exogenous default barrier models: The MM algorithm," Journal of Banking & Finance, Elsevier, vol. 36(6), pages 1639-1652.
    13. Michael B. Imerman, 0. "When enough is not enough: bank capital and the Too-Big-To-Fail subsidy," Review of Quantitative Finance and Accounting, Springer, vol. 0, pages 1-36.
    14. Viral V. Acharya & Jennifer N. Carpenter, 2002. "Corporate Bond Valuation and Hedging with Stochastic Interest Rates and Endogenous Bankruptcy," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1355-1383.
    15. Afik, Zvika & Arad, Ohad & Galil, Koresh, 2016. "Using Merton model for default prediction: An empirical assessment of selected alternatives," Journal of Empirical Finance, Elsevier, vol. 35(C), pages 43-67.
    16. Das, Sanjiv R. & Kim, Seoyoung, 2015. "Credit spreads with dynamic debt," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 121-140.
    17. Specht, Leon, 2023. "An Empirical Analysis of European Credit Default Swap Spread Dynamics," Junior Management Science (JUMS), Junior Management Science e. V., vol. 8(1), pages 1-42.
    18. Ayadi, Mohamed A. & Ben-Ameur, Hatem & Fakhfakh, Tarek, 2016. "A dynamic program for valuing corporate securities," European Journal of Operational Research, Elsevier, vol. 249(2), pages 751-770.
    19. Guha, R. & Sbuelz, A., 2003. "Structural RFV : Recovery Form and Defaultable Debt Analysis," Other publications TiSEM 841ad1ef-22f2-4ea8-b19b-5, Tilburg University, School of Economics and Management.
    20. Li, Ka Leung & Wong, Hoi Ying, 2008. "Structural models of corporate bond pricing with maximum likelihood estimation," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 751-777, September.
    21. Guha, R. & Sbuelz, A., 2003. "Structural RFV : Recovery Form and Defaultable Debt Analysis," Discussion Paper 2003-37, Tilburg University, Center for Economic Research.

    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:gam:jmathe:v:11:y:2023:i:20:p:4397-:d:1265446. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.