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• W2158102405 abstract "We study the optimal investment policy for an investor who has available one bank account and n risky assets modeled by log‐normal diffusions. The objective is to maximize the long‐run average growth of wealth for a logarithmic utility function in the presence of proportional transaction costs. This problem is formulated as an ergodic singular stochastic control problem and interpreted as the limit of a discounted control problem for vanishing discount factor. The variational inequalities for the discounted control problem and the limiting ergodic problem are established in the viscosity sense. The ergodic variational inequality is solved by using a numerical algorithm based on policy iterations and multigrid methods. A numerical example is displayed for two risky assets." @default.
• W2158102405 created "2016-06-24" @default.
• W2158102405 creator A5017245116 @default.
• W2158102405 creator A5078804236 @default.
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• W2158102405 date "2001-04-01" @default.
• W2158102405 modified "2023-10-17" @default.
• W2158102405 title "Dynamic Optimization of Long‐Term Growth Rate for a Portfolio with Transaction Costs and Logarithmic Utility" @default.
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• W2158102405 doi "https://doi.org/10.1111/1467-9965.00111" @default.
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