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

Foldes, Lucien (1990) Certainty equivalence in the continuous-time portfolio-cum-saving model. Financial Markets Group Discussion Papers (95). Financial Markets Group, The London School of Economics and Political Science, London, UK.

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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.

Item Type:	Monograph (Discussion Paper)
Official URL:	http://fmg.lse.ac.uk
Additional Information:	© 1990 The Author
Divisions:	Systemic Risk Centre
Subjects:	H Social Sciences > HG Finance
JEL classification:	G - Financial Economics > G1 - General Financial Markets > G10 - General G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice; Investment Decisions
Date Deposited:	29 May 2008 10:00
Last Modified:	09 May 2025 00:28
URI:	http://eprints.lse.ac.uk/id/eprint/5144

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