Optimal Time for Closing a Trading Position

In this paper, trading rules (strategies) on a specified financial asset at some future time are interpreted as contingent claims (financial derivatives). Therefore, their fair values are computable using the binomial tree technique. However, traders pay the price of financial asset at the current t...

Full description

Saved in:
Bibliographic Details
Main Author: Reza Habibi
Format: Article
Language:English
Published: Athens Institute for Education and Research 2024-10-01
Series:Athens Journal of Business & Economics
Subjects:
Online Access:https://www.athensjournals.gr/business/2024-10-4-4-Habibi.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846101769864609792
author Reza Habibi
author_facet Reza Habibi
author_sort Reza Habibi
collection DOAJ
description In this paper, trading rules (strategies) on a specified financial asset at some future time are interpreted as contingent claims (financial derivatives). Therefore, their fair values are computable using the binomial tree technique. However, traders pay the price of financial asset at the current time to enter to trading. Clearly, it is a loss for traders. In this paper, first, hedging strategies are proposed. Then, using three procedures the optimal time for closing the trading position are derived. Mentioned procedures are based on optimal stopping time and stochastic dynamic programming, state space and a practical procedure which uses an adds-in of Excel software. Indeed, optimal closing time and related trading strategies are applied in discrete time price processes and in the binomial tree setting. Markov decision process (MDP) solution to the problem is proposed. Simulation results are studied and finally, a conclusion section is given.
format Article
id doaj-art-65feef8e983e4c6494ba6bb1b00b1fd9
institution Kabale University
issn 2241-794X
language English
publishDate 2024-10-01
publisher Athens Institute for Education and Research
record_format Article
series Athens Journal of Business & Economics
spelling doaj-art-65feef8e983e4c6494ba6bb1b00b1fd92024-12-28T15:21:19ZengAthens Institute for Education and ResearchAthens Journal of Business & Economics2241-794X2024-10-0110430931810.30958/ajbe.10-4-4Optimal Time for Closing a Trading Position Reza Habibi0Faculty Member, Iran Banking Institute, Central Bank of Iran, Tehran, IranIn this paper, trading rules (strategies) on a specified financial asset at some future time are interpreted as contingent claims (financial derivatives). Therefore, their fair values are computable using the binomial tree technique. However, traders pay the price of financial asset at the current time to enter to trading. Clearly, it is a loss for traders. In this paper, first, hedging strategies are proposed. Then, using three procedures the optimal time for closing the trading position are derived. Mentioned procedures are based on optimal stopping time and stochastic dynamic programming, state space and a practical procedure which uses an adds-in of Excel software. Indeed, optimal closing time and related trading strategies are applied in discrete time price processes and in the binomial tree setting. Markov decision process (MDP) solution to the problem is proposed. Simulation results are studied and finally, a conclusion section is given. https://www.athensjournals.gr/business/2024-10-4-4-Habibi.pdfbinomial treefair valuefinancial derivativeexcelhedgingmdpoptimal stoppingstate space modelstochastic dynamic programmingtrading strategies
spellingShingle Reza Habibi
Optimal Time for Closing a Trading Position
Athens Journal of Business & Economics
binomial tree
fair value
financial derivative
excel
hedging
mdp
optimal stopping
state space model
stochastic dynamic programming
trading strategies
title Optimal Time for Closing a Trading Position
title_full Optimal Time for Closing a Trading Position
title_fullStr Optimal Time for Closing a Trading Position
title_full_unstemmed Optimal Time for Closing a Trading Position
title_short Optimal Time for Closing a Trading Position
title_sort optimal time for closing a trading position
topic binomial tree
fair value
financial derivative
excel
hedging
mdp
optimal stopping
state space model
stochastic dynamic programming
trading strategies
url https://www.athensjournals.gr/business/2024-10-4-4-Habibi.pdf
work_keys_str_mv AT rezahabibi optimaltimeforclosingatradingposition