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A quasi-closed-form solution for the valuation of American put options

dc.contributor.authorViegas, Cristina
dc.contributor.authorAzevedo-Pereira, José
dc.date.accessioned2021-01-13T13:04:43Z
dc.date.available2021-01-13T13:04:43Z
dc.date.issued2020-10-16
dc.date.updated2021-01-08T14:44:11Z
dc.description.abstractThis study develops a quasi-closed-form solution for the valuation of an American put option and the critical price of the underlying asset. This is an important area of research both because of a large number of transactions for American put options on different underlying assets (stocks, currencies, commodities, etc.) and because this type of evaluation plays a role in determining the value of other financial assets such as mortgages, convertible bonds or life insurance policies. The procedure used is commonly known as the method of lines, which is considered to be a formulation in which time is discrete rather than continuous. To improve the quality of the results obtained, the Richardson extrapolation is applied, which allows the convergence of the outputs to be accelerated to values close to reality. The model developed in this paper derives an explicit formula of the finite-maturity American put option. The results obtained, besides allowing us to quickly determine the option value and the critical price, enable the graphical representation—in two and three dimensions—of the option value as a function of the other components of the model.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifierdoi: 10.3390/ijfs8040062
dc.identifier.citationInternational Journal of Financial Studies 8 (4): 62 (2020)pt_PT
dc.identifier.doi10.3390/ijfs8040062pt_PT
dc.identifier.issn2227-7072
dc.identifier.urihttp://hdl.handle.net/10400.1/14956
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherMDPIpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectOption valuationpt_PT
dc.subjectAmerican put optionpt_PT
dc.subjectQuasi-closed-form solutionpt_PT
dc.titleA quasi-closed-form solution for the valuation of American put optionspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue4pt_PT
oaire.citation.startPage62pt_PT
oaire.citation.titleInternational Journal of Financial Studiespt_PT
oaire.citation.volume8pt_PT
person.familyNameViegas
person.givenNameCristina
person.identifier.ciencia-id471F-6E12-D698
person.identifier.orcid0000-0001-6234-9070
person.identifier.scopus-author-id55303481900
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationa6709f88-dd75-44bb-8a99-fe01f5eaf023
relation.isAuthorOfPublication.latestForDiscoverya6709f88-dd75-44bb-8a99-fe01f5eaf023

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