Instituto de Investigación
en Matemáticas

Optimización Dinámica, Finanzas Matemáticas y Utilidad Recursiva

(ODFMUR)


Objetivos: Creación de un grupo estable de investigación para el estudio de procesos económicos dinámicos, mediante técnicas e instrumentos de disciplinas tales como la Optimización Dinámica, la Programación Dinámica, el Control Óptimo y la Utilidad Recursiva. Dentro de este enfoque se incluyen numerosos modelos dinámicos de decisiva relevancia en Economía tales como los aparecidos en Macroeconomía, Finanzas Matemáticas, Teoría Económica y Teoría de Juegos, entre otros. Las actividades de investigación consideradas suponen la continuación y ampliación de las llevadas a cabo con anterioridad por los miembros del grupo, quienes han formado equipos de investigación estables y competitivos, que han sido financiados en convocatorias públicas en los últimos años. Las áreas de referencia específicas del grupo son la Optimización Dinámica, las Finanzas Matemáticas y la Utilidad Recursiva. Entre los objetivos del grupo se destacan (1) promover actividades científicas y académicas (reuniones de trabajo, seminarios, conferencias) con investigadores de reconocido prestigio, profesores y estudiantes; (2) originar el desarrollo y aparición de nuevos resultados, tanto teóricos como aplicados, en las áreas referidas; (3) suscitar la participación en congresos y reuniones de relevancia internacional, así como la publicación en revistas de referencia de impacto; (3) impulsar la transferencia de los resultados obtenidos a la resolución de problemas económicos dinámicos reales de la sociedad actual.
Líneas de investigación: Optimización Dinámica. Finanzas Matemáticas. Utilidad Recursiva
Publicaciones:
Estimation of risk-neutral processes in single-factor jump-diffusion interest rate models J. Comput. Appl. Math. 291 48--57 (2016) Gómez-Valle, L. and Martínez-Rodríguez, J.
A new technique to estimate the risk-neutral processes in jump-diffusion commodity futures models J. Comput. Appl. Math. 309 435--441 (2017) Gómez-Valle, L. and Habibilashkary, Z. and Martínez-Rodríguez, J.
The role of the risk-neutral jump size distribution in single-factor interest rate models Abstr. Appl. Anal. 0 Art. ID 805695, 8 (2015) Gómez-Valle, L. and Martínez-Rodríguez, J.
Advances in pricing commodity futures: multifactor models Math. Comput. Modelling 57 1722--1731 (2013) Gómez-Valle, L. and Martínez-Rodríguez, J.
A numerical approach to obtain the yield curves with different risk-neutral drifts Math. Comput. Modelling 54 1773--1780 (2011) Gómez-Valle, L. and Martínez-Rodríguez, J.
Optimal risk management in defined benefit stochastic pension funds Insurance Math. Econom. 34 489--503 (2004) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
Minimization of risks in pension funding by means of contributions and portfolio selection Insurance Math. Econom. 29 35--45 (2001) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
Mean-variance portfolio and contribution selection in stochastic pension funding European J. Oper. Res. 187 120--137 (2008) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
Funding and investment decisions in a stochastic defined benefit pension plan with several levels of labor-income earnings Comput. Oper. Res. 35 47--63 (2008) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
New approach to stochastic optimal control J. Optim. Theory Appl. 135 163--177 (2007) Josa-Fombellida, R. and Rincón-Zapatero, J. P.
Optimal investment decisions with a liability: the case of defined benefit pension plans Insurance Math. Econom. 39 81--98 (2006) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
Approximate dynamic programming for continuous-time linear quadratic regulator problems: relaxation of known input-coupling matrix assumption IET Control Theory Appl. 6 2063--2075 (2012) Lee, J. Y. and Park, J. B. and Choi, Y. H.
Optimal control of excess-of-loss reinsurance and investment for insurers under a {CEV} model Insurance Math. Econom. 51 674--684 (2012) Gu, Ailing and Guo, Xianping and Li, Zhongfei and Zeng, Yan
Displaced lognormal volatility skews: analysis and applications to stochastic volatility simulations Ann. Finance 8 159--181 (2012) Lee, Roger and Wang, Dan
Optimal selection portfolio problem: a semi-linear {PDE} approach Stochastics 84 199--215 (2012) Zeghal, Amina Bouzguenda and Mnif, Mohamed
Stochastic pension funding when the benefit and the risky asset follow jump diffusion processes European J. Oper. Res. 220 404--413 (2012) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
A {BSDE} approach to a risk-based optimal investment of an insurer Automatica J. IFAC 47 253--261 (2011) Elliott, Robert J. and Siu, Tak Kuen
Optimal trade execution in illiquid markets Math. Finance 21 681--701 (2011) Bayraktar, Erhan and Ludkovski, Michael
Stochastic Jacobians in affine term-structure models: a local property Commun. Stoch. Anal. 5 419--430 (2011) Hyndman, Cody Blaine
Multiperiod mean-variance portfolio optimization via market cloning Appl. Math. Optim. 64 135--154 (2011) Ankirchner, Stefan and Dermoune, Azzouz
Optimal consumption policies in illiquid markets Finance Stoch. 15 85--115 (2011) Cretarola, Alessandra and Gozzi, Fausto and Pham, Huy{^e}n and Tankov, Peter
On a {PDE} arising in one-dimensional stochastic control problems J. Optim. Theory Appl. 147 1--26 (2010) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
Euler-Lagrange equations of stochastic differential games: application to a game of a productive asset Econom. Theory 59 61--108 (2015) Josa-Fombellida, Ricardo and Rincón-Zapatero, Juan Pablo
Optimal asset allocation for aggregated defined benefit pension funds with stochastic interest rates European Journal of Operational Research 193 211-221 (2010) Josa-Fombellida, R., J.P. Rincón-Zapatero
On the blow-up time convergence of semidiscretizations of reaction-diffusion equations Appl. Numer. Math. 26 399--414 (1998) Abia, Luis M. and López-Marcos, J. C. and Martínez, Julia
Blow-up for semidiscretizations of reaction-diffusion equations Appl. Numer. Math. 20 145--156 (1996) Abia, Luis M. and López-Marcos, J. C. and Martínez, Julia
The Euler method in the numerical integration of reaction-diffusion problems with blow-up Appl. Numer. Math. 38 287--313 (2001) Abia, L. M. and López-Marcos, J. C. and Martínez, J.
Numerical analysis of a population model of marine invertebrates with different life stages Commun. Nonlinear Sci. Numer. Simul. 18 2153--2163 (2013) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Numerical analysis of an open marine population model with spaced-limited recruitment Math. Comput. Modelling 52 1037--1044 (2010) Angulo, O. and López-Marcos, J. C. and López-Marcos, M. A. and Martínez-Rodríguez, J.
Numerical investigation of the recruitment process in open marine population models JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 0 P01003 (2011) Angulo, O; Lopez-Marcos, JC; Lopez-Marcos, MA; Martinez-Rodriguez, J
Estimation of risk-neutral processes in single-factor jump-diffusion interest rate models J. Comput. Appl. Math. 291 48--57 (2016) Gómez-Valle, L. and Martínez-Rodríguez, J.
A new technique to estimate the risk-neutral processes in jump-diffusion commodity futures models J. Comput. Appl. Math. 309 435--441 (2017) Gómez-Valle, L. and Habibilashkary, Z. and Martínez-Rodríguez, J.
The role of the risk-neutral jump size distribution in single-factor interest rate models Abstr. Appl. Anal. 0 Art. ID 805695, 8 (2015) Gómez-Valle, L. and Martínez-Rodríguez, J.
Advances in pricing commodity futures: multifactor models Math. Comput. Modelling 57 1722--1731 (2013) Gómez-Valle, L. and Martínez-Rodríguez, J.
A numerical approach to obtain the yield curves with different risk-neutral drifts Math. Comput. Modelling 54 1773--1780 (2011) Gómez-Valle, L. and Martínez-Rodríguez, J.
Comments on "Kernel density estimation for time series data" International Journal of Forecasting 28 15-19 (2012) Ana Pérez
Measuring the Dependence Among Dimensions of Welfare: A Study Based on Spearman's Footrule and Gini's Gamma Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 24 87--105 (2016) Pérez, Ana and Prieto-Alaiz, Mercedes
A note on nonparametric estimation of copula-based multivariate extensions of Spearman's rho Statist. Probab. Lett. 112 41--50 (2016) Pérez, Ana and Prieto-Alaiz, Mercedes
Maximally autocorrelated power transformations: a closer look at the properties of stochastic volatility models Stud. Nonlinear Dyn. Econom. 16 Art. 1, front matter+31 (2012) Ruiz, Esther and Pérez, Ana
Identification of asymmetric conditional heteroscedasticity in the presence of outliers Series - Journal of the Spanish Economic Association 7 179-201 (2016) Angeles Carnero, Ana Pérez y Esther Ruiz
Measuring dependence between dimensions of poverty in Spain: An approach based on copulas Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society For Fuzzy Logic and Technology 89 734-741 (2015) Ana Perez; Mercedes Prieto
A representation of acyclic preferences Econom. Lett. 54 143--146 (1997) Rodríguez-Palmero, Carlos
Existence and uniqueness of solutions to the Bellman equation in the unbounded case Econometrica 71 1519--1555 (2003) Rincón-Zapatero, Juan Pablo and Rodríguez-Palmero, Carlos
A note on representability of consumer's behavior Econom. Theory 20 207--216 (2002) Alcantud, J. C. R. and Rodríguez-Palmero, C.
Corrigendum to ``Existence and uniqueness of solutions to the Bellman equation in the unbounded case'' Econometrica, Vol. 71, no. 5 (September, 2003), 1519--1555 [MR2000255] Econometrica 77 317--318 (2009) Rincón-Zapatero, Juan Pablo and Rodríguez-Palmero, Carlos
Recursive utility with unbounded aggregators Econom. Theory 33 381--391 (2007) Rincón-Zapatero, Juan Pablo and Rodríguez-Palmero, Carlos
Recall searching with and without recall Theory and Decision 77 297--311 (2014) Di Cagno, Daniela and Neugebauer, Tibor and Rodriguez-Palmero, Carlos and Sadrieh, Abdolkarim
Proyectos:
Un procedimiento alternativo para la resolución de modelos económicos dinámicos no lineales
Modelización dinámica de planes de pensiones estocásticos
Mercado de dinero y mercados de activos en equilibrio general monetario
Modelización y Análisis Numérico en problemas de evolución con aplicaciones a Biología, Finanzas y Mecánica de Fluidos
Otros datos: