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Discrete and continuous time dynamic mean-variance analysis

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  • Reiss, Ariane
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    Abstract

    Contrary to static mean-variance analysis, very few papers have dealt with dynamic mean-variance analysis. Here, the mean-variance efficient self-financing portfolio strategy is derived for n risky assets in discrete and continuous time. In the discrete setting, the resulting portfolio is mean-variance efficient in a dynamic sense. It is shown that the optimal strategy for n risky assets may be dominated if the expected terminal wealth is constrained to exactly attain a certain goal instead of exceeding the goal. The optimal strategy for n risky assets can be decomposed into a locally mean-variance efficient strategy and a strategy that ensures optimum diversification across time. In continuous time, a dynamically mean-variance efficient portfolio is infeasible due to the constraint on the expected level of terminal wealth. A modified problem where mean and variance are determined at t=0 was solved by Richardson (1989). The solution is discussed and generalized for a market with n risky assets. Moreover, a dynamically optimal strategy is presented for the objective of minimizing the expected quadratic deviation from a certain target level subject to a given mean. This strategy equals that of the first objective. The strategy can be reinterpreted as a two-fund strategy in the growth optimum portfolio and the risk-free asset. --

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    File URL: http://econstor.eu/bitstream/10419/47531/1/270478396.pdf
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    Bibliographic Info

    Paper provided by University of Tübingen, School of Business and Economics in its series Tübinger Diskussionsbeiträge with number 168.

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    Date of creation: 1999
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    Handle: RePEc:zbw:tuedps:168

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    Related research

    Keywords: Dynamic Optimization; Growth Optimum Portfolio; Mean-Variance-Efficiency; Minimum Deviation; Portfolio Selection; Two-Fund Theorem;

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