A lower bound for the volatility swap in the lognormal SABR model

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  • dc.contributor.author Alòs, Elisa
  • dc.contributor.author Rolloos, Frido
  • dc.contributor.author Shiraya, Kenichiro
  • dc.date.accessioned 2024-02-19T07:24:45Z
  • dc.date.available 2024-02-19T07:24:45Z
  • dc.date.issued 2023
  • dc.description.abstract In the short time to maturity limit, it is proved that for the conditionally lognormal SABR model the zero vanna implied volatility is a lower bound for the volatility swap strike. The result is valid for all values of the correlation parameter and is a sharper lower bound than the at-the-money implied volatility for correlation less than or equal to zero.
  • dc.description.sponsorship Elisa Alòs is supported by grant PID2020-118339GBI00 (Ministerio de Ciencia e Innovación). Kenichiro Shiraya is supported by the Center for Advanced Research in Finance (CARF).
  • dc.format.mimetype application/pdf
  • dc.identifier.citation Alòs E, Rolloos F, Shiraya K. A lower bound for the volatility swap in the lognormal SABR model. Axioms. 2023;12(8):749. DOI: 10.3390/axioms12080749
  • dc.identifier.doi http://dx.doi.org/10.3390/axioms12080749
  • dc.identifier.issn 2075-1680
  • dc.identifier.uri http://hdl.handle.net/10230/59130
  • dc.language.iso eng
  • dc.publisher MDPI
  • dc.relation.ispartof Axioms. 2023;12(8):749.
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PID2020-11839GB100
  • dc.rights © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.rights.uri https://creativecommons.org/licenses/by/4.0/
  • dc.subject.keyword lower bound
  • dc.subject.keyword volatility swap
  • dc.subject.keyword zero vanna implied volatility
  • dc.subject.keyword lognormal SABR model
  • dc.title A lower bound for the volatility swap in the lognormal SABR model
  • dc.type info:eu-repo/semantics/article
  • dc.type.version info:eu-repo/semantics/publishedVersion