Stochastic Calculus with Applications to Finance

dc.contributor.advisorBasharov, Aghamirza (Supervisor)
dc.contributor.advisorFernandez, Arran (Co-Supervisor)
dc.contributor.authorKandeh, Bubacarr
dc.date.accessioned2024-09-04T06:15:15Z
dc.date.available2024-09-04T06:15:15Z
dc.date.issued2020-07
dc.date.submitted2020-07
dc.departmentEastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematicsen_US
dc.descriptionMaster of Science in Applied Mathematics and Computer Science. Institute of Graduate Studies and Research. Thesis (M.S.) - Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2020. Co-Supervisor: Asst. Prof. Dr. Arran Fernandez Supervisor: Prof. Dr. Aghamirza Bashiroven_US
dc.description.abstractThe two most fundamental aspects of mathematical finance are; portfolio optimization and portfolio pricing. Portfolio optimization uses concepts from linear algebra and ordinary multi-variable calculus. On the other hand, portfolio pricing is modelled by stochastic calculus. In this work we will focus our interest in the development of stochastic calculus and how it is applied to finance in Portfolio Pricing.en_US
dc.description.abstractOZ:¨ Matematiksel finansın en temel iki yon¨ u; portf ¨ oy optimizasyonu ve portf ¨ oy¨ fiyatlandırmasıdır. Portfoy optimizasyonu, do ¨ grusal cebirden ve sıradan c¸ok ˘ degis¸kenli hesaplardan kavramları kullanır. ˘ Ote yandan, portf ¨ oy fiyatlaması stokastik ¨ hesapla modellenmis¸tir. Bu c¸alıs¸mada stokastik analizin gelis¸imine ve Portfoy¨ Fiyatlandırmasında finansmana nasıl uygulandıgına odaklanaca ˘ gız.en_US
dc.identifier.citationKandeh, Bubacarr. (2020). Stochastic Calculus with Applications to Finance. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.en_US
dc.identifier.urihttps://hdl.handle.net/11129/6103
dc.language.isoen
dc.publisherEastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)en_US
dc.relation.publicationcategoryTez
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectApplied Mathematics and Computer Science Departmenten_US
dc.subjectCalculus--Stochastic processesen_US
dc.subjectFinance--Mathematical Modelsen_US
dc.subjectMathematical Finance--Stochastic Analysisen_US
dc.subjectStochastic and Wiener Processes, Ito calculus, Instantaneous Interest rate models, Continuous time pricing of the European call option, Black Scholes formulaen_US
dc.titleStochastic Calculus with Applications to Financeen_US
dc.typeMaster Thesis

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