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Robust optimization of consumption with random endowment

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  • Wittmüß, Wiebke

Abstract

We consider the problem of optimal consumption for an investor who is risk and uncertainty avers. We model these preferences of the investor with the help of a convex risk-measure. Apart from consumption the agent has the possibility to invest initial capital and random endowment in a market where stock-prices are semimartingales. We formulate this as a maximin problem that will be solved by duality methods.

Suggested Citation

  • Wittmüß, Wiebke, 2006. "Robust optimization of consumption with random endowment," SFB 649 Discussion Papers 2006-063, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2006-063
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    References listed on IDEAS

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    1. Hernández-Hernández Daniel & Schied Alexander, 2006. "Robust utility maximization in a stochastic factor model," Statistics & Risk Modeling, De Gruyter, vol. 24(1/2006), pages 1-17, July.
    2. Hernández-Hernández Daniel & Schied Alexander, 2006. "Robust utility maximization in a stochastic factor model," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 109-125, July.
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    14. Hernández-Hernández, Daniel & Schied, Alexander, 2006. "A control approach to robust utility maximization with logarithmic utility and time-consistent penalties," SFB 649 Discussion Papers 2006-061, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
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    More about this item

    Keywords

    duality theory; risk measures; optimal consumption; model uncertainty;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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