Transaction costs and option portfolio
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F06%3A00013497" target="_blank" >RIV/61989100:27510/06:00013497 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Transaction costs and option portfolio
Original language description
In this paper we study in particularly lattice models in presence of transaction costs. Transaction costs can be modeled as a fixed charge or a fee proportional to the price of traded assets. Here we suppose only proportional transaction costs. We imposeproportional symmetric cost on trading with the risky asset. We develop basic equations for a single-period model and also a general one for the intermediate interval of the multi-period model. In this paper we suppose initial zero position and the needof physical delivery at the terminal time. We compare the results to the Boyle and Vorst model of zero initial transaction cost which clearly underestimate the price. However, we show that the absolute amount of the replication capital invested into therisky asset stays the same. The most important result of the paper is to provide the effect of portfolio model which can be used to explain some frictions at the real market.
Czech name
Transaction costs and option portfolio
Czech description
In this paper we study in particularly lattice models in presence of transaction costs. Transaction costs can be modeled as a fixed charge or a fee proportional to the price of traded assets. Here we suppose only proportional transaction costs. We imposeproportional symmetric cost on trading with the risky asset. We develop basic equations for a single-period model and also a general one for the intermediate interval of the multi-period model. In this paper we suppose initial zero position and the needof physical delivery at the terminal time. We compare the results to the Boyle and Vorst model of zero initial transaction cost which clearly underestimate the price. However, we show that the absolute amount of the replication capital invested into therisky asset stays the same. The most important result of the paper is to provide the effect of portfolio model which can be used to explain some frictions at the real market.
Classification
Type
D - Article in proceedings
CEP classification
AH - Economics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GP402%2F05%2FP085" target="_blank" >GP402/05/P085: Application of replication methods in pricing and hedging of financial derivatives at non-perfect market</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Mathematical Methods in Economics
ISBN
80-7043-480-5
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
1-8
Publisher name
University of West Bohemia in Pilsen
Place of publication
Pilsen
Event location
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Event date
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Type of event by nationality
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UT code for WoS article
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