LOG-OPTIMAL INVESTMENT IN THE LONG RUN WITH PROPORTIONAL TRANSACTION COSTS WHEN USING SHADOW PRICES
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Dostal, Petr
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Klujova, Jana
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Charles Univ Prague, Fac Math & Phys, Dept Probabil & Math Stat, Prague 8, Czech RepublicCharles Univ Prague, Fac Math & Phys, Dept Probabil & Math Stat, Prague 8, Czech Republic
Klujova, Jana
[1
]
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[1] Charles Univ Prague, Fac Math & Phys, Dept Probabil & Math Stat, Prague 8, Czech Republic
We consider a non-consuming agent interested in the maximization of the long-run growth rate of a wealth process investing either in a money market and in one risky asset following a geometric Brownian motion or in futures following an arithmetic Brownian motion. The agent faces proportional transaction costs, and similarly as in [17] where the case of stock trading is considered, we show how the log-optimal optimal policies in the long run can be derived when using the technical tool of shadow prices. We also provide a brief link between technical tools used in this paper and the ones used in [14,15,17].
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页码:588 / 628
页数:41
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