selected publications academic article Optimal investment with insurable background risk and nonlinear portfolio allocation frictions 2025-1-15 Alterations in glucose metabolism on cognition: A possible link between diabetes and dementia 2024-6-1 Climbing the income ladder: Search and investment in a regime-switching affine income model 2023-12-1 Utility maximization in a multidimensional semimartingale model with nonlinear wealth dynamics 2021-3-1 Optimal control of investment, premium and deductible for a non-life insurance company 2021-11-1 PORTFOLIO ALLOCATION in A LEVY-TYPE JUMP-DIFFUSION MODEL with NONLIFE INSURANCE RISK 2021-1-1 Martingale approach to optimal portfolio-consumption problems in Markov-modulated pure-jump models 2015-4-3 A note on space–time Hölder regularity of mild solutions to stochastic cauchy problems in Lp-spaces 2015-11-1 On the LP formulation in measure spaces of optimal control problems for jump-diffusions 2015-11-1 Backward Ornstein-Uhlenbeck Transition Operators and Mild Solutions of Non-Autonomous Hamilton-Jacobi Equations in Banach Spaces 2014-1-1 An alternative proof of the Aubin-Lions lemma 2013-9-1 Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces 2013-1-1 working paper DYNAMIC PROGRAMMING FOR STOCHASTIC TARGET PROBLEMS, VISCOSITY SOLUTIONS AND HEDGING IN MARKETS WITH PORTFOLIO CONSTRAINTS AND LARGE INVESTORS 2014-1-1 ECUACIONES DIFERENCIALES ESTOCÁSTICAS CON CONDICIÓN FINAL Y SOLUCIONES DE VISCOSIDAD DE EDPS SEMILINEALES DE SEGUNDO ORDEN 2014-1-1
principal investigator on Stochastic modeling of financial markets using Markov-modulated processes 2013-02-01 - 2014-10-31 Stochastic models of financial markets with jumps that depend on inter-arribo times 2013-01-02 - 2014-07-10 Optimal allocation, asset-liability matching and risk control for insurers with portfolio constraint and differential rates Optimal portfolio selection with capital gains taxes and differential rates Optimization of portfolios in stochastic models in continuous time with utility functions range-dependent Portfolio optimization under expected loss restrictions Utility maximization in multi-dimensional semi-martingale setting with non-linear wealth dynamics
Tutor of An accurate heston implementation with Usd-Cop Data Thesis Análisis comparativo de la rentabilidad de empresas en las zonas francas : caso colombiano Thesis Aplicación de support vector machine al mercado colombiano Thesis Cobertura de riesgo de tasa de interés en cupones de tasa flotante Thesis Condiciones de optimalidad para portafolios de inversión con funciones de utilidad rango-dependientes Thesis Cálculo de CVA/DVA para swaps de tasa de interés IBR : una aplicación del modelo de tasa corta de Hull-white de un factor Thesis Dinamica del Default en los CDS soberanos de Colombia Thesis Estrategias óptimas de inversión y consumo en un mercado con saltos alternados dependientes de los tiempos inter-arribo Thesis How does the correlation between an agent’s income and financial market impact optimal portfolio allocation? Thesis Modelación estocástica y trading algorítmico del spread entre acciones mediante procesos de reversión a la media Thesis Modelo de cascada sigma variante para la estructura a término de tasas de interés en Colombia Thesis Modelos a fínes consistentes con aplicación en riesgos de longevidad: sector asegurador colombiano Thesis Numerical Solutions to PDE Representations of Derivatives with Bilateral Counterparty Risk and Funding Costs Thesis Selección óptima de portafolio para una compañía aseguradora Thesis Tarifación de un seguro paramétrico de clima con aplicación al sector agrícola Thesis The leveraged buyout of Dell Inc. Thesis Un enfoque teórico en tiempo continuo para modelos de equilibrio general dinámicos estocásticos Thesis Una aproximacion al caso Interbolsa Thesis Valoración de riesgo de contraparte y CVA en portafolios de derivados de tasas de interés Thesis Valuación de bonos catastróficos para Colombia Thesis
Educational Training Background 2003, Matemático, Universidad Nacional de Colombia - Bogotá D.C. 2005, Magíster en Matemáticas Con Énfasis en Matemáticas Financieras, Technische Universität Kaiserslautern 2011, Doctor of Philosophy in Mathematics, University of York