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Stock Market Mean Reversion and the Optimal Equity Allocation of a Long-Lived Investor

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  • John Y. Campbell
  • Joao Cocco
  • Francisco Gomes
  • Pascal Maenhout
  • Luis Viceira

Abstract

This paper solves numerically the intertemporal consumption and portfolio choice problem of an infinitely-lived investor who faces a time-varying equity premium. The solutions we obtain are very similar to the approximate analytical solutions of Campbell and Viceira (1999), except at the upper extreme of the state space where both the numerical consumption and portfolio rules flatten out. We also consider a contrained version of the problem in which the investor faces borrowing and short-sales contraints. These constraints bind when the equity premium moves away from its mean in either direction, and are particularly severe for risk-tolerant investors. The optimal constrained portfolio rules are similar but not idenitcal to the optimal unconstrained rules with the constraints imposed. The portfolio constraints also affect the optimal consumption policy.

Suggested Citation

  • John Y. Campbell & Joao Cocco & Francisco Gomes & Pascal Maenhout & Luis Viceira, 2000. "Stock Market Mean Reversion and the Optimal Equity Allocation of a Long-Lived Investor," Harvard Institute of Economic Research Working Papers 1899, Harvard - Institute of Economic Research.
    • Handle: RePEc:fth:harver:1899
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    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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