The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index

The Black-Scholes-Merton model is one of the most popular option pricing models used in market practice. This model is based on unrealistic assumptions, including the lack of transaction costs. While it is not possible to satisfy all the conditions of the model, it is logical to assume that perfectl...

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Main Author: Michał Prymon
Format: Article
Language:English
Published: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu 2022-01-01
Series:Nauki o Finansach
Online Access:https://journals.ue.wroc.pl/fins/article/view/203
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author Michał Prymon
author_facet Michał Prymon
author_sort Michał Prymon
collection DOAJ
description The Black-Scholes-Merton model is one of the most popular option pricing models used in market practice. This model is based on unrealistic assumptions, including the lack of transaction costs. While it is not possible to satisfy all the conditions of the model, it is logical to assume that perfectly liquid markets will meet them better, which will help to reduce the risk of error. The aim of the article was to measure the impact of liquidity to the divergence of the Black-Scholes-Merton model compared to real market closing prices. The result of the research demonstrates a moderate dependence between the volume of the WIG20 index, the volume of option transactions and a negative correlation with the ILLIQ illiquidity indicator introduced by Amihud (2002). The research led to the conclusion that there is a positive correlation between the liquidity and the divergence between BSM model and the market prices.(original abstract)
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publishDate 2022-01-01
publisher Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
record_format Article
series Nauki o Finansach
spelling doaj-art-1b024ff4b10e47a9bc144a26b6b063d72025-08-20T02:32:38ZengWydawnictwo Uniwersytetu Ekonomicznego we WrocławiuNauki o Finansach2449-98112022-01-01271204The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 IndexMichał Prymon0Wroclaw University of Economics and BusinessThe Black-Scholes-Merton model is one of the most popular option pricing models used in market practice. This model is based on unrealistic assumptions, including the lack of transaction costs. While it is not possible to satisfy all the conditions of the model, it is logical to assume that perfectly liquid markets will meet them better, which will help to reduce the risk of error. The aim of the article was to measure the impact of liquidity to the divergence of the Black-Scholes-Merton model compared to real market closing prices. The result of the research demonstrates a moderate dependence between the volume of the WIG20 index, the volume of option transactions and a negative correlation with the ILLIQ illiquidity indicator introduced by Amihud (2002). The research led to the conclusion that there is a positive correlation between the liquidity and the divergence between BSM model and the market prices.(original abstract)https://journals.ue.wroc.pl/fins/article/view/203
spellingShingle Michał Prymon
The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index
Nauki o Finansach
title The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index
title_full The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index
title_fullStr The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index
title_full_unstemmed The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index
title_short The Impact of Market Liquidity on the Effectiveness of Option Valuation with the Black-Scholes-Merton Model Using the Example of the WIG20 Index
title_sort impact of market liquidity on the effectiveness of option valuation with the black scholes merton model using the example of the wig20 index
url https://journals.ue.wroc.pl/fins/article/view/203
work_keys_str_mv AT michałprymon theimpactofmarketliquidityontheeffectivenessofoptionvaluationwiththeblackscholesmertonmodelusingtheexampleofthewig20index
AT michałprymon impactofmarketliquidityontheeffectivenessofoptionvaluationwiththeblackscholesmertonmodelusingtheexampleofthewig20index