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Optimal Consumption and Investment with Hyperbolic Lévy Motion

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  • Barbachan, José Fajardo

Abstract

We solve the intertemporal consumption and investment problem in a continuous time setting assuming that the security prices follow a Hyperbolic Lévy Motion. Using Stochastic Calculus for Lévy processes, we give sufficient conditions for the existence of optimal consumption and investment policies.

Suggested Citation

  • 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.
    • Handle: RePEc:sbe:breart:v:20:y:2000:i:1:a:2773
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    1. 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.
    2. Cajueiro, Daniel Oliveira & Yoneyama, Takashi, 2004. "Optimal Portfolio and Consumption in a Switching Diffusion Market," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 24(2), November.

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