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Dynamic hedging of equity call options

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Resumo:The theory of option pricing assumes generally that options can be replicated through dynamic hedging in the underlying stock. First, we outline the assumptions behind the popular models, such as regarding the distribution of stock returns, and the probability of the terminal stock value reaching certain levels. Then, we define the common "Greeks" of call options, that is the sensitivity of option values to changes in particular variables. Figures show the sensitivity of those Greeks to stock price levels, and time to expiration. Then, we attempt to show that delta and complex hedges, using options with more than one exercise price, are the "solutions" for simultaneous equations establishing delta and gamma (and eventually vega) neutrality, subject to a budget constraint. Finally, we examine the relative profitability and effectiveness (in terms of variance reduction) of delta hedging strategies for three trade positions (in, at and out-of-the-money).
Autores principais:Duque, João
Outros Autores:Paxson, Dean A.
Assunto:Financial Economics Financial management Financial Options Investment Capital Markets
Ano:1993
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa
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author Duque, João
author2 Paxson, Dean A.
author2_role author
author_facet Duque, João
Paxson, Dean A.
author_role author
contributor_name_str_mv Repositório Científico de Acesso Aberto da ULisboa
country_str PT
creators_json_txt [{\"Person.name\":\"Duque, João\"},{\"Person.name\":\"Paxson, Dean A.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
datacite.creators.creator.creatorName.fl_str_mv Duque, João
Paxson, Dean A.
datacite.date.Accepted.fl_str_mv 1993-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2015-10-22T14:04:22Z
datacite.date.embargoed.fl_str_mv 2015-10-22T14:04:22Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Financial Economics
Financial management
Financial Options
Investment
Capital Markets
datacite.titles.title.fl_str_mv Dynamic hedging of equity call options
dc.contributor.none.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
dc.creator.none.fl_str_mv Duque, João
Paxson, Dean A.
dc.date.Accepted.fl_str_mv 1993-01-01T00:00:00Z
dc.date.available.fl_str_mv 2015-10-22T14:04:22Z
dc.date.embargoed.fl_str_mv 2015-10-22T14:04:22Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10400.5/9832
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Instituto Superior de Economia e Gestão
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Financial Economics
Financial management
Financial Options
Investment
Capital Markets
dc.title.fl_str_mv Dynamic hedging of equity call options
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description The theory of option pricing assumes generally that options can be replicated through dynamic hedging in the underlying stock. First, we outline the assumptions behind the popular models, such as regarding the distribution of stock returns, and the probability of the terminal stock value reaching certain levels. Then, we define the common "Greeks" of call options, that is the sensitivity of option values to changes in particular variables. Figures show the sensitivity of those Greeks to stock price levels, and time to expiration. Then, we attempt to show that delta and complex hedges, using options with more than one exercise price, are the "solutions" for simultaneous equations establishing delta and gamma (and eventually vega) neutrality, subject to a budget constraint. Finally, we examine the relative profitability and effectiveness (in terms of variance reduction) of delta hedging strategies for three trade positions (in, at and out-of-the-money).
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eu_rights_str_mv openAccess
format article
fulltext.url.fl_str_mv https://repositorio.ulisboa.pt/bitstreams/924f79c5-413e-44b2-a447-bdd2ba91fc5b/download
id ul_9f8eff9b5bc062eabdabacaeba2f26d2
identifier.url.fl_str_mv http://hdl.handle.net/10400.5/9832
inst_facet_str urn:organizationAcronym:ul{{{_:::_}}}Universidade de Lisboa
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language eng
network_acronym_str ul
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oai_identifier_str oai:repositorio.ulisboa.pt:10400.5/9832
organization_str_mv urn:organizationAcronym:ul
person_str_mv Duque, João
Paxson, Dean A.
publishDate 1993
publisher.none.fl_str_mv Instituto Superior de Economia e Gestão
repo_facet_str urn:repositoryAcronym:ul{{{_:::_}}}Repositório da Universidade de Lisboa
reponame_str Repositório da Universidade de Lisboa
repository_id_str urn:repositoryAcronym:ul
service_str_mv urn:repositoryAcronym:ul
spelling engInstituto Superior de Economia e GestãoThe theory of option pricing assumes generally that options can be replicated through dynamic hedging in the underlying stock. First, we outline the assumptions behind the popular models, such as regarding the distribution of stock returns, and the probability of the terminal stock value reaching certain levels. Then, we define the common "Greeks" of call options, that is the sensitivity of option values to changes in particular variables. Figures show the sensitivity of those Greeks to stock price levels, and time to expiration. Then, we attempt to show that delta and complex hedges, using options with more than one exercise price, are the "solutions" for simultaneous equations establishing delta and gamma (and eventually vega) neutrality, subject to a budget constraint. Finally, we examine the relative profitability and effectiveness (in terms of variance reduction) of delta hedging strategies for three trade positions (in, at and out-of-the-money).application/pdfpt_PTDynamic hedging of equity call optionsDuque, JoãoPaxson, Dean A.HostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.pt2015-10-22T14:04:22Z19931993-01-01T00:00:00ZHandlehttp://hdl.handle.net/10400.5/9832http://purl.org/coar/access_right/c_abf2open accessFinancial EconomicsFinancial managementFinancial OptionsInvestmentCapital Markets6232583 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/924f79c5-413e-44b2-a447-bdd2ba91fc5b/downloadEstudos de GestãoI28392Lisboa
spellingShingle Dynamic hedging of equity call options
Duque, João
Financial Economics
Financial management
Financial Options
Investment
Capital Markets
status SINGLETON
subject.fl_str_mv Financial Economics
Financial management
Financial Options
Investment
Capital Markets
title Dynamic hedging of equity call options
title_full Dynamic hedging of equity call options
title_fullStr Dynamic hedging of equity call options
title_full_unstemmed Dynamic hedging of equity call options
title_short Dynamic hedging of equity call options
title_sort Dynamic hedging of equity call options
topic Financial Economics
Financial management
Financial Options
Investment
Capital Markets
topic_facet Financial Economics
Financial management
Financial Options
Investment
Capital Markets
url http://hdl.handle.net/10400.5/9832
visible 1