Stability of the utility maximization problem with random endowment in incomplete markets

Economy – Quantitative Finance – Portfolio Management

Scientific paper

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21 pages, revised version. To appear in "Mathematical Finance".

Scientific paper

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected utility), as well as views of the world or the market model (as modeled via subjective probabilities) are considered. Simple sufficient conditions are given for the problem to be well-posed, in the sense the optimal wealth and the marginal utility-based prices are continuous functionals of preferences and probabilistic views.

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