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DYNAMIC ASSET ALLOCATION AND CONSUMPTION CHOICE IN INCOMPLETE MARKETS *
Author(s) -
STOIKOV SASHA F.,
ZARIPHOPOULOU THALEIA
Publication year - 2005
Publication title -
australian economic papers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.351
H-Index - 15
eISSN - 1467-8454
pISSN - 0004-900X
DOI - 10.1111/j.1467-8454.2005.00269.x
Subject(s) - economics , volatility (finance) , incomplete markets , martingale (probability theory) , portfolio , complete market , consumption (sociology) , microeconomics , econometrics , financial economics , mathematics , social science , sociology , statistics
We study the optimal investment and consumption problem of a CRRA investor when the drift and volatility of the stock are driven by a correlated factor. The myopic and non‐myopic components of the optimal portfolio process are characterised in terms of the market price of traded and non‐traded risk of the minimax martingale measure. We find that the optimal policies depend crucially on the nature of the agent, aggressive versus conservative, and the market incompleteness, improving versus deteriorating investment opportunities. Furthermore, we show that the original problem cannot be decomposed into a pure consumption and a pure terminal wealth problem, unless the market is complete.