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Optimal Consumption and Investment with Lévy Processes

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  • Barbachan, José Santiago Fajardo

Abstract

This paper study the intertemporal consumption and investment problem in a continuous time setting when the secutity prices follow a Geometric Levy Process. Using stochastic calculus for semimartingals we obtain sufficient conditions for the existence of optimal consump- tion and investment policies.
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  • Barbachan, José Santiago Fajardo, 2003. "Optimal Consumption and Investment with Lévy Processes," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 57(4), October.
    • Handle: RePEc:fgv:epgrbe:v:57:y:2003:i:4:a:860
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    1. Fajardo, Jose Santiago, 2006. "Equivalent Martingale Measures and Lévy Processes," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 60(4), February.
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    16. Barbachan, José Santiago Fajardo, 2003. "Optimal Consumption and Investment with Lévy Processes," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 57(4), October.
    17. Barbachan, José Fajardo, 2000. "Optimal Consumption and Investment with Hyperbolic Lévy Motion," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 20(1), May.
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    Cited by:

    1. Fajardo, José & Corcuera, José Manuel & Menouken Pamen, Olivier, 2016. "On the optimal investment," MPRA Paper 71901, University Library of Munich, Germany.
    2. Barbachan, José Santiago Fajardo, 2003. "Optimal Consumption and Investment with Lévy Processes," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 57(4), October.

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