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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 6, Pages 16–24 (Mi vmumm359)

This article is cited in 1 paper

Mathematics

Logarithmic utility maximization in an exponential Lévy model

M. Yu. Ivanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The problems of logarithmic utility maximization and finding the numéraire portfolio in an exponential Lévy model are studied in the paper in terms of Lévy–Khinchin triplet.

Key words: equivalent martingale measure, equivalent $\sigma$-martingale density, numéraire portfolio, logarithmic utility, exponential Lévy model.

UDC: 519.21

Received: 24.09.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2014, 69:6, 242–250

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