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Taking into account the different features of portfolio management theory, this book promotes a thorough understanding for students and professionals in the field. It presents both standard and novel results on the axiomatics of the individual choice in an uncertain framework, contains a precise overview of standard portfolio optimization, provides a review of the main results for static and dynamic cases, and shows how theoretical results can be applied to practical and operational portfolio optimization. The book uses mathematical tools to solve dynamic optimization and makes the literature of stochastic optimization applied to mathematical finance accessible to nonspecialists.
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