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Optimální řízení v markovských řetězcích s aplikacemi při obchodování s proporcionálními transakčními náklady / Optimal control in Markov chains with applications in trading with proportional transaction costs

Abstract:! The aim of this thesis is to find the optimal control of Markov chain with discounted evaluation of transitions in discrete and also in continuous time. We present Howard's iterative algorithm, the algorithm for finding the optimal control. Then the strategy is applied to the problem of optimal trading, where the goal is to maximize market price of the portfolio in infinite time horizont, given the existence of the proportional transaction costs. Market price is simulated with Brownian motion.

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:352650
Date January 2016
CreatorsOberhauserová, Simona
ContributorsDostál, Petr, Prášková, Zuzana
Source SetsCzech ETDs
LanguageSlovak
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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