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Portafolio de consumo: problema de Merton

Author

Listed:
  • Eduardo Cepeda

    (Laboratoire d’Analyse et de Mathématiques Appliquées, UMR 8050. Université Paris-Est. 61, París, Francia)

Abstract

En este documento exponemos la estructura de base de un problema clásico de control optimal ilustrado a través de un ejemplo de matemáticas financieras. La modelación es realizada mediante la utilización de procesos estocásticos en tiempo continuo y la herramienta utilizada es el cálculo estocástico desarrollado por Itô en los años 60 del siglo pasado. El objetivo de este artículo es mostrar la aplicación de la teoría de Itô en la elección de la mejor inversión para optimizar el consumo de un agente.

Suggested Citation

  • Eduardo Cepeda, 2011. "Portafolio de consumo: problema de Merton," Analítika, Analítika - Revista de Análisis Estadístico/Journal of Statistical Analysis, vol. 2(2), pages 37-51, Diciembre.
    • Handle: RePEc:inp:inpana:v:2:y:2011:i:2:p:37-51
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    References listed on IDEAS

    as
    1. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
    2. 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.
    3. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Control estocástico optimal; procesos estocásticos; movimiento browniano; problema de Merton;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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