Almost log-optimal trading strategies for small transaction costs in model with stochastic coefficients
Kybernetika, Tome 58 (2022) no. 6, pp. 903-959
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We consider a non-consuming agent investing in a stock and a money market interested in the portfolio market price far in the future. We derive a strategy which is almost log-optimal in the long run in the presence of small proportional transaction costs for the case when the rate of return and the volatility of the stock market price are bounded It o processes with bounded coefficients and when the volatility is bounded away from zero.
DOI :
10.14736/kyb-2022-6-0903
Classification :
60G44, 60H30, 91G80
Keywords: small transaction costs; logarithmic utility function; non-constant coefficients
Keywords: small transaction costs; logarithmic utility function; non-constant coefficients
@article{10_14736_kyb_2022_6_0903,
author = {Dost\'al, Petr},
title = {Almost log-optimal trading strategies for small transaction costs in model with stochastic coefficients},
journal = {Kybernetika},
pages = {903--959},
publisher = {mathdoc},
volume = {58},
number = {6},
year = {2022},
doi = {10.14736/kyb-2022-6-0903},
mrnumber = {4548222},
zbl = {07655865},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-6-0903/}
}
TY - JOUR AU - Dostál, Petr TI - Almost log-optimal trading strategies for small transaction costs in model with stochastic coefficients JO - Kybernetika PY - 2022 SP - 903 EP - 959 VL - 58 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-6-0903/ DO - 10.14736/kyb-2022-6-0903 LA - en ID - 10_14736_kyb_2022_6_0903 ER -
%0 Journal Article %A Dostál, Petr %T Almost log-optimal trading strategies for small transaction costs in model with stochastic coefficients %J Kybernetika %D 2022 %P 903-959 %V 58 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-6-0903/ %R 10.14736/kyb-2022-6-0903 %G en %F 10_14736_kyb_2022_6_0903
Dostál, Petr. Almost log-optimal trading strategies for small transaction costs in model with stochastic coefficients. Kybernetika, Tome 58 (2022) no. 6, pp. 903-959. doi: 10.14736/kyb-2022-6-0903
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