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Optimal Consumption and Investment with Transaction Costs and Multiple Risky Assets

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Hong Liu

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Abstract

We consider the optimal intertemporal consumption and investment policy of a constant absolute risk aversion (CARA) investor who faces fixed and proportional transaction costs when trading multiple risky assets. We show that when asset returns are uncorrelated, the optimal investment policy is to keep the dollar amount invested in each risky asset between two constant levels and upon reaching either of these thresholds, to trade to the corresponding optimal targets. An extensive analysis suggests that transaction cost is an important factor in affecting trading volume and that it can significantly diminish the importance of stock return predictability as reported in the literature. Copyright 2004 by The American Finance Association.

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Publisher Info
Article provided by American Finance Association in its journal The Journal of Finance.

Volume (Year): 59 (2004)
Issue (Month): 1 (02)
Pages: 289-338
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Handle: RePEc:bla:jfinan:v:59:y:2004:i:1:p:289-338

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  1. Nicolae B. Garleanu & Lasse H. Pedersen, 2009. "Dynamic Trading with Predictable Returns and Transaction Costs," NBER Working Papers 15205, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. David Love & Paul A. Smith, 2008. "Does Health Affect Portfolio Choice?," Department of Economics Working Papers 2008-11, Department of Economics, Williams College. [Downloadable!]
    Other versions:
  3. Gautam Goswami & Milind Shrikhande & Liuren Wu, 2002. "A Dynamic Equilibrium Model of Real Exchange Rates with General Transaction Costs," Finance 0207016, EconWPA. [Downloadable!]
  4. Claas Prelle & Albrecht Irle, 2008. "A renewal theoretic result in portfolio theory under transaction costs with multiple risky assets," Kiel Working Papers 1449, Kiel Institute for the World Economy. [Downloadable!]
  5. Ronald J. Balvers & Yangru Wu, 2005. "Optimal Transaction Filters Under Transitory Trading Opportunities: Theory and Empirical Illustration," Working Papers 022005, Hong Kong Institute for Monetary Research. [Downloadable!]
    Other versions:
  6. Frank Milne, 2008. "Credit Crises, Risk Management Systems and Liquidity Modelling," Working Papers 1, John Deutsch Institute for the Study of Economic Policy. [Downloadable!]
  7. Jianjun Miao & Neng Wang, 2004. "Investment, Hedging, and Consumption Smoothing," Finance 0407014, EconWPA. [Downloadable!]
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