Characterization of Optimal Strategy for Multi-Asset Investment and Consumption with Transaction Costs

26 Pages Posted: 15 Nov 2012

See all articles by Xinfu Chen

Xinfu Chen

Independent

Min Dai

National University of Singapore (NUS) - Department of Mathematics

Date Written: March 23, 2012

Abstract

We consider the optimal consumption and investment with transaction costs on multiple assets, where the prices of risky assets jointly follow a multi-dimensional geometric Brownian motion. We characterize the optimal investment strategy and in particular prove by rigorous mathematical analysis that the trading region has the shape that is very much needed for well defining the trading strategy, e.g., the no-trading region has distinct corners. In contrast, the existing literature is restricted to either single risky asset or multiple uncorrelated risky assets.

Keywords: portfolio selection, optimal investment and consumption, transaction costs, multiple risky assets, shape of trading and no-trading regions

JEL Classification: G11, G12

Suggested Citation

Chen, Xinfu and Dai, Min, Characterization of Optimal Strategy for Multi-Asset Investment and Consumption with Transaction Costs (March 23, 2012). Available at SSRN: https://ssrn.com/abstract=2175413 or http://dx.doi.org/10.2139/ssrn.2175413

Xinfu Chen

Independent ( email )

No Address Available
United States

Min Dai (Contact Author)

National University of Singapore (NUS) - Department of Mathematics ( email )

Singapore

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