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Optimal consumption and investment with fixed and proportional transaction costs

Author(s): Altarovici, A; Reppen, M; Soner, H Mete

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Abstract: © 2017 Society for Industrial and Applied Mathematics. The classical optimal investment and consumption problem with infinite horizon is studied in the presence of transaction costs. Both proportional and fixed costs as well as general utility functions are considered. Weak dynamic programming is proved in the general setting, and a comparison result for possibly discontinuous viscosity solutions of the dynamic programming equation is provided. Detailed numerical experiments illustrate several properties of the optimal investment strategies.
Publication Date: 1-Jan-2017
Citation: Altarovici, A, Reppen, M, Mete Soner, H. (2017). Optimal consumption and investment with fixed and proportional transaction costs. SIAM Journal on Control and Optimization, 55 (3), 1673 - 1710. doi:10.1137/15M1053633
DOI: doi:10.1137/15M1053633
ISSN: 0363-0129
Pages: 1673 - 1710
Type of Material: Journal Article
Journal/Proceeding Title: SIAM Journal on Control and Optimization
Version: Author's manuscript



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