Characterization of optimal strategy for multiasset investment and consumption with transaction costs (Q2873152)

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scientific article; zbMATH DE number 6249483
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Characterization of optimal strategy for multiasset investment and consumption with transaction costs
scientific article; zbMATH DE number 6249483

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    23 January 2014
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    portfolio selection
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    optimal investment
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    consumption
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    transaction costs
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    multiple risky assets
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    no-trading regions
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    Characterization of optimal strategy for multiasset investment and consumption with transaction costs (English)
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    The authors ``consider the optimal consumption and investment with transaction costs on multiple assets, where the prices of risky assets jointly follow a multidimensional geometric Brownian motion.'' They ``characterize the optimal investment strategy and in particular prove by rigorous mathematical analysis that [\dots] the no-trading region has distinct corners.'' The considered case may be applied for a description of how to well-define the trading strategy. In contrast, the existing literature is restricted to either a single risky asset or multiple uncorrelated risky assets. All theorems are carefully proved.
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