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Optimal investment-consumption and life insurance with capital constraints

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  • Calisto Guambe
  • Rodwell Kufakunesu

Abstract

The aim of this paper is to solve an optimal investment, consumption and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic volatility. Using the martingale approach, we prove the existence of the optimal strategy and the optimal martingale measure and we obtain the explicit solutions for the power utility functions.

Suggested Citation

  • Calisto Guambe & Rodwell Kufakunesu, 2020. "Optimal investment-consumption and life insurance with capital constraints," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(3), pages 648-669, February.
  • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:3:p:648-669
    DOI: 10.1080/03610926.2018.1549246
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