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Certainty equivalence in the continuous-time portfolio-cum-saving model

Author

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  • Foldes, Lucien

Abstract

A model of optimal accumulation of capital and portfolio choice over an infinite horizon in continuous time is considered in which the vector process representing returns to investment is a general semimartingale within dependent increments and the welfare functional has the discounted constant relative risk aversion form. The following results are proved under slight conditions. If suitable variable are chosen, the sure (i.e. non-random) plans form a complete class. If an optimal plan exists, then a sure optimal plan exists, and conversely an optimal sure plan is optimal. The problem of portfolio choice can be separated from the problem of optimal saving. Conditions are given for the uniqueness of the portfolio plan optimal plan.

Suggested Citation

  • Foldes, Lucien, 1990. "Certainty equivalence in the continuous-time portfolio-cum-saving model," LSE Research Online Documents on Economics 5144, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:5144
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    More about this item

    Keywords

    Investment; portfolios; independent increments; risk aversion; certainty equivalence; optimisation;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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