Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility

dc.contributor.advisorBackwell, Alex
dc.contributor.authorSchwellnus, Adrian
dc.date.accessioned2019-02-04T11:14:50Z
dc.date.available2019-02-04T11:14:50Z
dc.date.issued2018
dc.date.updated2019-02-04T09:01:53Z
dc.description.abstractThe Linear-Rational Framework for the modelling of interest rates is a framework which allows for the addition of spanned and unspanned factors, while maintaining a lower bound on rates and tractable valuation of interest rate derivatives, particularly swaptions. The advantages of having all these properties are significant. This dissertation presents the Linear-Rational Framework, and specializes the factor process to a class of diffusion models which allows for the degree of state dependence of volatility to be estimated. This dissertation then finds that the estimated state dependent volatility structure is significantly different to that of typical models, where it is set it a priori. The effect the added degree of freedom has on the model implied swaption skew is then analysed.
dc.identifier.apacitationSchwellnus, A. (2018). <i>Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility</i>. (). University of Cape Town ,Faculty of Commerce ,African Institute of Financial Markets and Risk Management. Retrieved from http://hdl.handle.net/11427/29215en_ZA
dc.identifier.chicagocitationSchwellnus, Adrian. <i>"Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility."</i> ., University of Cape Town ,Faculty of Commerce ,African Institute of Financial Markets and Risk Management, 2018. http://hdl.handle.net/11427/29215en_ZA
dc.identifier.citationSchwellnus, A. 2018. ETD: Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Schwellnus, Adrian AB - The Linear-Rational Framework for the modelling of interest rates is a framework which allows for the addition of spanned and unspanned factors, while maintaining a lower bound on rates and tractable valuation of interest rate derivatives, particularly swaptions. The advantages of having all these properties are significant. This dissertation presents the Linear-Rational Framework, and specializes the factor process to a class of diffusion models which allows for the degree of state dependence of volatility to be estimated. This dissertation then finds that the estimated state dependent volatility structure is significantly different to that of typical models, where it is set it a priori. The effect the added degree of freedom has on the model implied swaption skew is then analysed. DA - 2018 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2018 T1 - Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility TI - Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility UR - http://hdl.handle.net/11427/29215 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/29215
dc.identifier.vancouvercitationSchwellnus A. Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility. []. University of Cape Town ,Faculty of Commerce ,African Institute of Financial Markets and Risk Management, 2018 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/29215en_ZA
dc.language.isoeng
dc.publisher.departmentAfrican Institute of Financial Markets and Risk Management
dc.publisher.facultyFaculty of Commerce
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematical Finance
dc.titleLinear-Rational Term Structure Models With Flexible Level-Dependent Volatility
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMPhil
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