Transition Probability Matrix of Microcredits: The case of a Mexican microfinance
DOI:
https://doi.org/10.24201/ee.v28i1.85Keywords:
microfinance, credit risk, transition probability matrix, Markov chains, Value at Risk.Abstract
Microfinance in Mexico has developed at an accelerated pace and the efforts in credit risk management in this sector are scarce. The goal of this work is the construction of a Transition Probability Matrix in the rating of microcredits which can be used in the estimation of Value at Risk (VaR), observing the regulations of the Unique Circular of Saving and Popular Credit emitted by “Commission of National Banking and Securities” CNBV. Both, the methodology for its construction based in Markov chains theory and the obtained results, are presented. The hypotheses of absorbing state and the high recovery of microcredit are confirmed. Finally it is detected that men are as good payers as women.
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References
Alpízar, C. y C. González. 2006. El sector de las microfinanzas en México, en C. González (comp.), Los mercados de las finanzas populares y rurales en México. Una visión global rápida sobre su multiplicidad y alcance, Ohio University, pp.7-48.
Agresti, A. and B. Coull. 1998. Approximate is Better Than ‘Exact’ for Interval Estimation of Binomial Proportions, The American Statistician, 52: 119-126.
Akerlof, G. 1970. The Market for “Lemons”: Quality Uncertainty and the Market Mechanism, The Quarterly Journal of Economics, 84(3): 488-500.
Bicciato, F., L. Foschi, E. Bottaro y F. Ivardi. 2002. Microfinanzas en países pequeños de América Latina: Bolivia, Ecuador y El Salvador, Serie desarrollo productivo, núm. 121, CEPAL.
Brown, L., T. Cai y A. Dasgupta. 2001. Interval Estimation for a Binomial Proportion, Statistical Science 16: 101-133.
Byström, H. 2007. Structured Microfinance, The Journal of Structured Finance, 13(2): 26-28.
Carty, L. y J. Fons. 1994. Measuring Changes in Corporate Credit Quality, The Journal of Fixed Income, 4(1): 2741.
Chant, S. 1997. Women-Headed Households: Poorest of the Poor? Perspectives from Mexico, Costa Rica and the Philippines, IDS Bulletin, 28(3): 26-48.
Cheston, S. y L. Kuhn. 2002. Empowering Women through Microfinance, www.microcreditsummit.org/papers/empowerment.pdf.
CNBV. 2009. Circular única de ahorro y crédito popular. Anexo-D. Procedimiento para la calificación y constitución de estimaciones preventivas, www.cnbv.gob.mx/Anexos/Anexo%20D%20Org%20Int.doc.
Coneval. 2009. Evolución de la pobreza en México, www.coneval.gob.mx/contenido/medpobreza/3967.pdf.
Clopper, C. y E. Pearson. 1934. The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial, Biometrika, 26(4): 404-413.
D’Amico, G., J. Janssen y R. Mancal. 2008. Credit risk migration semi-Márkov models: a reliability approach, Computational Economics, 29: 119-138.
Davis, P. y B. Baulch. 2009. Parallel Realities: Exploring Poverty Dynamics Using Mixed Methods in Rural Bangladesh, Chronic Poverty Research Centre Working Paper, núm. 142.
Derivatives Strategy. 1997. The World according to Nassim Taleb, www.derivativesstrategy.com/magazine/archive/1997/1296qa.asp.
Duffie, D. y K. Singleton. 1999. Modeling Term Structures of Defaultable Bonds, The Review of Financial Studies, 12: 687-719.
Esquivel, H. 2010. Medición del efecto de las microfinanzas en México, Comercio Exterior, 60(1): 9-27.
Glaubitt, K., H. M. Hagen, J. Feist y M. Beck. 2008. Reducing Barriers to Microfinance Investments: The Role of Structured Finance, en I. Matthäus-Maier y J. Pischke (comps.), New Partnerships for Innovation in Microfinance, www.springerlink.com/content/978-3-540-93898-9/contents/, pp. 349-378.
González, C. y F. Gómez. 2006. Formas de asociación cooperativa y su participación en la provisión de servicios financieros en las áreas rurales, Programa Finanzas Rurales: Los mercados de las finanzas populares y rurales en México. Una visión global rápida sobre su multiplicidad y alcance, núm. IV, The Ohio State University, USAID México.
Hanson, S. y T. Schuermann. 2006. Confidence Intervals for Probabilities of Default, Journal of Banking & Finance, 30(8): 2281-2301.
Jacobson, T., J. Lindé y K. Roszbach. 2003. Internal Ratings Systems, Implied Credit Risk and the Consistency of Banks’ Risk Classification Policies, Journal of Banking & Finance, 30(7): 1899-1926.
Jansson, T. y M. Wenner. 1997. Financial Regulation and its Significance for Microfinance in Latin America and the Caribbean, Inter-American Development Bank, Washington D.C.
Jarrow, R. y S. Turnbull. 1995. Pricing Derivatives on Financial Securities Subject to Credit Risk, Journal of Finance, 50(1): 53-85.
Jarrow, R., D. Lando y S. Turnbull. 1997. A Markov Model for the Term Structure of Credit Risk Spreads, The Review of Financial Studies, 10(2): 481-523.
Jorion, Ph. 1997. Value at Risk: The New Benchmark for Controlling Market Risk, McGrawHill.
J. P. Morgan Securities. 2000. Modeling Credit Migration, Risk Management Research. Inc., www.defaultrisk.com/pdf6j4/Modeling%20Credit%20Migration.pdf.
Moody’s Investors Service. 2009. Moody’s Rating Symbols and Definitions, www.moodys.com/sites/products/AboutMoodysRatingsAttachments/MoodysRatingsSymbolsand%20Definitions.pdf.
Moody’s Investors Service. 2010. Structured Finance rating Transitions: 1983-2009 - Appendix III: Multi-Year Transition Matrices, www.moodys.com/research/StructuredFinance-Rating-Transitions-1983-2009-Appendix-III-Multi-Year–PBC123554.
ProDesarrollo. 2008. Benchmarking de las microfinanzas en México 2007: Un informe del sector, www.prodesarrollo.org/sites/default/files/documentos/benchmarking/Benchmarking%20de%20las%20microfinanzas%20en%20Mexico%202008.pdf.
ProDesarrollo. 2011. Benchmarking de las microfinanzas en México 2010: Un informe del sector, www.prodesarrollo.org/sites/default/files/documentos/benchmarking/bench%202011ch.pdf.
Rodríguez, V. 2010. Mapa del microfinanciamiento en México, en V. Rodríguez y D. Camino (comps.), Un acercamiento a la eficiencia del microfinanciamiento en México, México, Universidad de las Américas, pp. 19-69.
Standard&Poor’s. 2009. General: Rating Definitions and Terminology, www.standardandpoors.com/prot/ratings/articles/en/us/?articleType=HTML&assetID=1245319233778.
Standard&Poor’s. 2011. Default, Transition, and Recovery: International Local and Regional Governments Default and Transition Study, 2010 Update, www.standardandpoors.com/prot/ratings/articles/en/us/?assetID=1245301719681.
Superintendencia Financiera de Colombia. 2010. Reporte de estabilidad financiera 2010, Bogotá, Banco de la República.
Van Greuning, H., J. Gallardo y B. Randhawa. 1998. A Framework for Regulating Microfinance Institutions, World Bank Policy Research Working Papers, núm. 2061.
Women Entrepreneurship Development Trust Fund [WEDTF]. 2010., www.wedtf.or.tz/.
Yates, R. y D. Goodman. 2005. Probability and Stochastic Processes. A Friendly Introduction for Electrical and Computer Engineers, John Wiley & Sons.
Yunus, M. 2008. Creating a World Without Poverty: Social Business and the Future of Capitalism, Public Affairs.
Zuñiga, M. 2004. Acceso al crédito de las mujeres en América Latina, trabajo preparado dentro del Proyecto CEPAL/GTZ: Políticas laborales con enfoque de género, Santiago de Chile, www.eclac.cl/mujer/proyectos/gtz/publicaciones/word doc/Muriel Zuniga.pdf.
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