Option pricing and uncertainties in the Black-Scholes model

The pricing of European call options traded on the Chicago Board of Options Exchange (CBOE) is studied in the Black-Scholes model. A method for treating uncertainties in option prices based on the propagation of uncertainties is presented. Practically implementable formulas for the uncertainties are...

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Main Author: Kostensalo, Joel
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Matematiikan ja tilastotieteen laitos, Department of Mathematics and Statistics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/66279
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author Kostensalo, Joel
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä
author_facet Kostensalo, Joel Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä Kostensalo, Joel Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä
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description The pricing of European call options traded on the Chicago Board of Options Exchange (CBOE) is studied in the Black-Scholes model. A method for treating uncertainties in option prices based on the propagation of uncertainties is presented. Practically implementable formulas for the uncertainties are derived. The Black-Scholes prices with uncertainties are compared to SPX options, where the underlying asset is the Standard\&Poor 500 index consisting of 500 large US based companies, sold on the CBOE. Possible arbitrage opportunities for certain strike prices and maturities are found, showing that real markets may have pricing issues.
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spellingShingle Kostensalo, Joel Option pricing and uncertainties in the Black-Scholes model Matematiikka Mathematics 4041 epävarmuus hinnoittelu rahoitusmarkkinat optiot hintakehitys uncertainty pricing financial markets options (securities) price development
title Option pricing and uncertainties in the Black-Scholes model
title_full Option pricing and uncertainties in the Black-Scholes model
title_fullStr Option pricing and uncertainties in the Black-Scholes model Option pricing and uncertainties in the Black-Scholes model
title_full_unstemmed Option pricing and uncertainties in the Black-Scholes model Option pricing and uncertainties in the Black-Scholes model
title_short Option pricing and uncertainties in the Black-Scholes model
title_sort option pricing and uncertainties in the black scholes model
title_txtP Option pricing and uncertainties in the Black-Scholes model
topic Matematiikka Mathematics 4041 epävarmuus hinnoittelu rahoitusmarkkinat optiot hintakehitys uncertainty pricing financial markets options (securities) price development
topic_facet 4041 Matematiikka Mathematics epävarmuus financial markets hinnoittelu hintakehitys options (securities) optiot price development pricing rahoitusmarkkinat uncertainty
url https://jyx.jyu.fi/handle/123456789/66279 http://www.urn.fi/URN:NBN:fi:jyu-201911084797
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