Turnpike behavior of long-term investments

Abstract. We study the behavior of the optimal portfolio policy of a long-run investor in markets with stationary investment opportunity sets. We provide conditions on the utility function, for large wealth levels, which are sufficient for the optimal portfolio policy to approximate, as the trading horizon becomes very long, the policy of investing a constant proportion of wealth in the various assets. The analysis is carried out by employing the associated HJB equation and recent advances in the area of viscosity solutions.

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