 Dynamic mean-variance analysisPhilippe Henrotte No 729, HEC Research Papers Series from HEC Paris Abstract: We analyse the conditional versions of two closely connected mean-variance investment problems, the replication of a contingent claim on the one hand and the selection of an efficient portfolio on the other hand, in a general discrete time setting with incomplete markets. We exhibit a positive process h which summarizes two pieces of economically meaningful information. As a function the states of the world, it can be used as a correction lens for myopic investors, and it reveals the gap between static and dynamic mean-variance investment strategies. A short sighted investor who corrects the probability distribution with the help of h acts optimally for long horizons. We describe the dynamic mean-variance efficient frontier conditioned on the information available at a future date in the form of a two fund separation theorem. The dynamic Sharpe ratio measures the distance from of an investment strategy to the efficient frontier. We explain how optimal dynamic Sharpe ratios aggregate through time and we study the time consistency rules which efficient portfolios must follow. We investigate the effect of a change of investment horizon, in particular we show that myopia is optimal as soon as the process h is deterministic. Keywords: self financing portfolio; efficient frontier; sharpe ratio; myopia (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ebg:heccah:0729 Access Statistics for this paper More papers in HEC Research Papers Series from HEC Paris HEC Paris, 78351 Jouy-en-Josas cedex, France. Contact information at EDIRC. |
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