{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/8521"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/8521","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Efficient implementation of the Heston-Hull & White model","abstract":"A model with a stochastic interest rate process correlated to a stochastic volatility process is needed to accurately price long- dated contingent claims. Such a model should also price claims efficiently in order to allow for fast calibration. This dissertation explores the approximations for the characteristic function of the Heston-Hull&White model introduced by Grzelak and Oost- erlee (2011). Fourier-Cosine expansion pricing, due to Fang and Oosterlee (2008), is then used to price contingent claims under this model, which is implemented in MATLAB. We find that the model is efficient, accurate and has a relatively simple calibration procedure. In back-tests, it is determined that the Heston- Hull&White model produces better hedging profit and loss results than a Heston (1993) or a Black and Scholes (1973) model.","abstract_html":"A model with a stochastic interest rate process correlated to a stochastic volatility process is needed to accurately price long- dated contingent claims. Such a model should also price claims efficiently in order to allow for fast calibration. This dissertation explores the approximations for the characteristic function of the Heston-Hull&White model introduced by Grzelak and Oost- erlee (2011). Fourier-Cosine expansion pricing, due to Fang and Oosterlee (2008), is then used to price contingent claims under this model, which is implemented in MATLAB. We find that the model is efficient, accurate and has a relatively simple calibration procedure. In back-tests, it is determined that the Heston- Hull&White model produces better hedging profit and loss results than a Heston (1993) or a Black and Scholes (1973) model.","abstract_has_math":false,"creators":["Maze, Sheldon"],"institution":"Division of Actuarial Science","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Dos Santos, Moses","Van Rooyen, Marchand"],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014","date_published":"2014","updated_at":"2026-07-22T22:23:05Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/8521","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Dos Santos, Moses","Van Rooyen, Marchand"]},{"key":"dc:creator","label":"Author","values":["Maze, Sheldon"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-10-17T10:09:49Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-10-17T10:09:49Z"]},{"key":"dc:date.issued","label":"Date","values":["2014"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Division of Actuarial Science"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Master Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Masters"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["MPhil"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/8521"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Includes bibliographical references."]},{"key":"dc:description.abstract","label":"Abstract","values":["A model with a stochastic interest rate process correlated to a stochastic volatility process is needed to accurately price long- dated contingent claims. Such a model should also price claims efficiently in order to allow for fast calibration. This dissertation explores the approximations for the characteristic function of the Heston-Hull&White model introduced by Grzelak and Oost- erlee (2011). Fourier-Cosine expansion pricing, due to Fang and Oosterlee (2008), is then used to price contingent claims under this model, which is implemented in MATLAB. We find that the model is efficient, accurate and has a relatively simple calibration procedure. In back-tests, it is determined that the Heston- Hull&White model produces better hedging profit and loss results than a Heston (1993) or a Black and Scholes (1973) model."]},{"key":"dc:title","label":"Title","values":["Efficient implementation of the Heston-Hull & White model"]}]}],"canonical_facts":{"dc:contributor.advisor":["Dos Santos, Moses","Van Rooyen, Marchand"],"dc:creator":["Maze, Sheldon"],"dc:date.accessioned":["2014-10-17T10:09:49Z"],"dc:date.available":["2014-10-17T10:09:49Z"],"dc:date.issued":["2014"],"dc:description":["Includes bibliographical references."],"dc:description.abstract":["A model with a stochastic interest rate process correlated to a stochastic volatility process is needed to accurately price long- dated contingent claims. Such a model should also price claims efficiently in order to allow for fast calibration. This dissertation explores the approximations for the characteristic function of the Heston-Hull&White model introduced by Grzelak and Oost- erlee (2011). Fourier-Cosine expansion pricing, due to Fang and Oosterlee (2008), is then used to price contingent claims under this model, which is implemented in MATLAB. We find that the model is efficient, accurate and has a relatively simple calibration procedure. In back-tests, it is determined that the Heston- Hull&White model produces better hedging profit and loss results than a Heston (1993) or a Black and Scholes (1973) model."],"dc:identifier.uri":["http://hdl.handle.net/11427/8521"],"dc:language.iso":["eng"],"dc:publisher.department":["Division of Actuarial Science"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Efficient implementation of the Heston-Hull & White model"],"dc:type":["Master Thesis"],"dc:type.qualificationlevel":["Masters"],"dc:type.qualificationname":["MPhil"]},"updated_at":"2026-07-22T22:23:05Z"}