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Retirement Wealth under Fixed Limits: The Optimal Strategy for Exponential Utility

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  • Lena Schutte

Abstract

For an exponential utility maximizing investment strategy in a Black-Scholes Setting, fixed upper and lower constraints are introduced on the terminal wealth. This is equivalent to combining the optimal strategy with options. The resulting distribution is investigated in terms of change of quantiles. The theory is illustrated with quantitative examples, including an assessment of the effects of restricting the strategy to positive investments.

Suggested Citation

  • Lena Schutte, 2017. "Retirement Wealth under Fixed Limits: The Optimal Strategy for Exponential Utility," Papers 1712.00463, arXiv.org.
    • Handle: RePEc:arx:papers:1712.00463
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    1. Veronica Rappoport & Enrichetta Ravina & Daniel Paravisini, 2010. "Risk Aversion and Wealth: Evidence from Person-to-Person Lending Portfolios," 2010 Meeting Papers 664, Society for Economic Dynamics.
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    5. Catherine Donnelly & Russell Gerrard & Montserrat Guillén & Jens Perch Nielsen, 2015. "Less is more: increasing retirement gains by using an upside terminal wealth constraint," Working Papers 2015-02, Universitat de Barcelona, UB Riskcenter.
    6. Donnelly, Catherine & Gerrard, Russell & Guillén, Montserrat & Nielsen, Jens Perch, 2015. "Less is more: Increasing retirement gains by using an upside terminal wealth constraint," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 259-267.
    7. Tehranchi, Michael, 2004. "Explicit solutions of some utility maximization problems in incomplete markets," Stochastic Processes and their Applications, Elsevier, vol. 114(1), pages 109-125, November.
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