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

Author

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. Haque, Qazi & Magnusson, Leandro M., 2021. "Uncertainty shocks and inflation dynamics in the U.S," Economics Letters, Elsevier, vol. 202(C).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    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. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Leduc, Sylvain & Liu, Zheng, 2016. "Uncertainty shocks are aggregate demand shocks," Journal of Monetary Economics, Elsevier, vol. 82(C), pages 20-35.
    14. 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.
    15. 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.
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