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Existence and Uniqueness for the Multivariate Discrete Terminal Wealth Relative

Andreas Hermes and Stanislaus Maier-Paape

Papers from arXiv.org

Abstract: In this paper the multivariate fractional trading ansatz of money management from Ralph Vince (Portfolio Management Formulas: Mathematical Trading Methods for the Futures, Options, and Stock Markets, John Wiley & Sons, Inc., 1990) is discussed. In particular, we prove existence and uniqueness of an optimal f of the respective optimization problem under reasonable assumptions on the trade return matrix. This result generalizes a similar result for the univariate fractional trading ansatz. Furthermore, our result guarantees that the multivariate optimal f solutions can always be found numerically by steepest ascent methods.

Date: 2017-03
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Citations: View citations in EconPapers (3)

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