Volatility level dependence and the CEV market model

dc.contributor.advisorOuwehand, Peter
dc.contributor.authorYeung, Alan
dc.date.accessioned2021-03-02T20:32:39Z
dc.date.available2021-03-02T20:32:39Z
dc.date.issued2020
dc.date.updated2021-03-02T20:31:18Z
dc.description.abstractInterest-rate volatility is known to be level-dependent. However, Filipovic, Larsson and Trolle (2017) found that volatility becomes more level-dependent as the interest rate approaches the zero lower bound. This varying volatility level-dependence feature motivates the use of CEV market model to model the interest rate. In this dissertation, we compare the lognormal forward LIBOR market model, the CEV market model and the normal market model through regression analysis, hedging analysis and calibration analysis to assess their performance. The investigation is performed using EURIBOR 10-year interest-rate caps with various strike rates. This research work has a significant impact as the industry often needs to hedge interestrate caps. We show that although the CEV market model best calibrates to market prices, the normal market model is the best in terms of hedging interest-rate caps.
dc.identifier.apacitationYeung, A. (2020). <i>Volatility level dependence and the CEV market model</i>. (). ,Faculty of Commerce ,Graduate School of Business (GSB). Retrieved from http://hdl.handle.net/11427/33066en_ZA
dc.identifier.chicagocitationYeung, Alan. <i>"Volatility level dependence and the CEV market model."</i> ., ,Faculty of Commerce ,Graduate School of Business (GSB), 2020. http://hdl.handle.net/11427/33066en_ZA
dc.identifier.citationYeung, A. 2020. Volatility level dependence and the CEV market model. . ,Faculty of Commerce ,Graduate School of Business (GSB). http://hdl.handle.net/11427/33066en_ZA
dc.identifier.ris TY - Master Thesis AU - Yeung, Alan AB - Interest-rate volatility is known to be level-dependent. However, Filipovic, Larsson and Trolle (2017) found that volatility becomes more level-dependent as the interest rate approaches the zero lower bound. This varying volatility level-dependence feature motivates the use of CEV market model to model the interest rate. In this dissertation, we compare the lognormal forward LIBOR market model, the CEV market model and the normal market model through regression analysis, hedging analysis and calibration analysis to assess their performance. The investigation is performed using EURIBOR 10-year interest-rate caps with various strike rates. This research work has a significant impact as the industry often needs to hedge interestrate caps. We show that although the CEV market model best calibrates to market prices, the normal market model is the best in terms of hedging interest-rate caps. DA - 2020 DB - OpenUCT DP - University of Cape Town KW - business LK - https://open.uct.ac.za PY - 2020 T1 - Volatility level dependence and the CEV market model TI - Volatility level dependence and the CEV market model UR - http://hdl.handle.net/11427/33066 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/33066
dc.identifier.vancouvercitationYeung A. Volatility level dependence and the CEV market model. []. ,Faculty of Commerce ,Graduate School of Business (GSB), 2020 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/33066en_ZA
dc.language.rfc3066eng
dc.publisher.departmentGraduate School of Business (GSB)
dc.publisher.facultyFaculty of Commerce
dc.subjectbusiness
dc.titleVolatility level dependence and the CEV market model
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationlevelMPhil
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