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Jumps in an stochastic optimization: self-financing portfolio for risk averse investors: does bequest matter?

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  • Şaziye Gaziog̃lu
  • Azize Bastıyalı-Hafavi
  • Özge Sezgin

Abstract

We optimized consumer/investor behaviour, subject to self-financing constraint by using stochastic dynamics system with jumps. Our aim in this article was to compare a stochastic optimization model with and without jumps in a self-financing portfolio model, for the risk averse investors. In this article, our contribution to the literature was to introduce an analytical solution of the utility maximizing model and to investigate the consequences of jumps and bequest to the economic system. A previous model by Gazioglu and Bastiyali-Hafavi (2010) used optimization, only with a Brownian motion during optimization. In this article, we introduced jump difussion to Brownian motion during optimization. We compared the model with and without jumps for the risk averse investors. Furthermore, as a form of wealth, we compared the results with and without bequest.

Suggested Citation

  • Şaziye Gaziog̃lu & Azize Bastıyalı-Hafavi & Özge Sezgin, 2013. "Jumps in an stochastic optimization: self-financing portfolio for risk averse investors: does bequest matter?," Applied Economics Letters, Taylor & Francis Journals, vol. 20(8), pages 790-794, May.
    • Handle: RePEc:taf:apeclt:v:20:y:2013:i:8:p:790-794
    DOI: 10.1080/13504851.2012.744158
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    1. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    2. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    3. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    4. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    5. Kocherlakota, Narayana R, 1990. "Disentangling the Coefficient of Relative Risk Aversion from the Elasticity of Intertemporal Substitution: An Irrelevance Result," Journal of Finance, American Finance Association, vol. 45(1), pages 175-190, March.
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