Optimización estocástica mediante modelos de riesgo GARCH-Cox para mitigar la quiebra de las pymes agrícolas en las economías emergentes

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Franco-Coello, Mauricio Rubén
Sandoval-Cuji, Martha Matilde
Recalde-Aguilar, Lugarda María

Resumen

Los modelos actuales de dificultades financieras, desarrollados principalmente en contextos de altos ingresos y baja volatilidad, no logran captar la exposición combinada de las pequeñas empresas agrícolas a las perturbaciones simultáneas de los precios de las materias primas y los cambios climáticos. Abordamos esta brecha teórica mediante el desarrollo de un marco de optimización de supervivencia estocástica que integra un modelo de varianza condicional GARCH (1,1)–GJR con una especificación de riesgo proporcional de Cox variable en el tiempo, incorporando formalmente el riesgo agroclimático heteroscedástico en la función de probabilidad de quiebra. Utilizando datos de panel longitudinales de 205 pymes agrícolas registradas en la Superintendencia de Compañías del Ecuador en Quevedo — Los Ríos, una región cuyos ciclos del banano y el cacao presentan una volatilidad de los precios que supera una desviación estándar anualizada del 34 %—, estimamos un modelo de supervivencia discriminante en 80 empresas de la muestra (2021–2025). El equilibrio teórico, derivado a través de las condiciones de optimalidad de Karush–Kuhn–Tucker (KKT), arroja un umbral crítico de apalancamiento (Zoc = −0,2263) y un límite de diversificación de la cartera (σ* = 0,312) por debajo del cual la probabilidad de quiebra aumenta de forma no lineal. Empíricamente, 43 de las 80 empresas (53,75 %) operan en la zona de alto riesgo de quiebra, y el riesgo condicional de quiebra aumenta en 2,14 por cada unidad de disminución en el índice de utilidades retenidas. Nuestro marco ofrece a los responsables de las políticas agroalimentarias y a los directivos de pymes reglas de decisión prácticas basadas en umbrales y adaptadas al contexto institucional de Los Ríos. Más allá del caso ecuatoriano, el modelo constituye una contribución generalizable al análisis de supervivencia en condiciones financieras no gaussianas.

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Franco-Coello, M. R., Sandoval-Cuji, M. M., & Recalde-Aguilar, L. M. (2026). Optimización estocástica mediante modelos de riesgo GARCH-Cox para mitigar la quiebra de las pymes agrícolas en las economías emergentes. Journal of Economic and Social Science Research, 6(2), 113-131. https://doi.org/10.55813/gaea/jessr/v6/n2/244

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