We define a decision problem of an investor, trading continously at a limit, order market, maximizing a utility from his wealth at a random time horizon. We show that, in special cases (e.g. risk neutrality, quadratic or experiential utility function), the problem may be factorized and, given additional restrictions, it may even he. solved.
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Univ Paris Diderot, Univ Paris 06, Sorbonne Univ,IMJ PRG, Sorbonne Paris Cite,CNRS,UMR 7586, F-75005 Paris, FranceUniv Paris Diderot, Univ Paris 06, Sorbonne Univ,IMJ PRG, Sorbonne Paris Cite,CNRS,UMR 7586, F-75005 Paris, France
Li, Xiaoxi
Quincampoix, Marc
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Univ Brest, Lab Math Bretagne Atlant, UMR 6205, F-29200 Brest, FranceUniv Paris Diderot, Univ Paris 06, Sorbonne Univ,IMJ PRG, Sorbonne Paris Cite,CNRS,UMR 7586, F-75005 Paris, France
Quincampoix, Marc
Renault, Jerome
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Univ Toulouse 1 Capitole, GREMAQ, TSE, F-31000 Toulouse, FranceUniv Paris Diderot, Univ Paris 06, Sorbonne Univ,IMJ PRG, Sorbonne Paris Cite,CNRS,UMR 7586, F-75005 Paris, France
机构:
Imperial Coll, CFM Imperial Inst Quantitat Finance, London SW7 2AZ, EnglandImperial Coll, CFM Imperial Inst Quantitat Finance, London SW7 2AZ, England
Gould, Martin D.
Porter, Mason A.
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Univ Oxford, Math Inst, Oxford Ctr Ind & Appl Math, Oxford OX2 6GG, England
Univ Oxford, CABDyN Complex Ctr, Oxford OX1 1HP, England
Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USAImperial Coll, CFM Imperial Inst Quantitat Finance, London SW7 2AZ, England
Porter, Mason A.
Howison, Sam D.
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Univ Oxford, Math Inst, Oxford Ctr Ind & Appl Math, Oxford OX2 6GG, England
Univ Oxford, Oxford Man Inst Quantitat Finance, Oxford OX2 6ED, EnglandImperial Coll, CFM Imperial Inst Quantitat Finance, London SW7 2AZ, England