Implementation of numerical Fourier method for second order Taylor schemes
| dc.contributor.advisor | McWalter, Thomas | |
| dc.contributor.author | Mashalaba, Qaphela | |
| dc.date.accessioned | 2020-02-11T07:44:03Z | |
| dc.date.available | 2020-02-11T07:44:03Z | |
| dc.date.issued | 2019 | |
| dc.date.updated | 2020-01-29T09:44:39Z | |
| dc.description.abstract | The problem of pricing contingent claims in a complete market has received a significant amount of attention in literature since the seminal work of Black, Fischer and Scholes, Myron (1973). It was also in 1973 that the theory of backward stochastic differential equations (BSDEs) was developed by Bismut, Jean-Michel (1973), but it was much later in the literature that BSDEs developed links to contingent claim pricing. This dissertation is a thorough exposition of the survey paper Ruijter, Marjon J and Oosterlee, Cornelis W (2016) in which a highly accurate and efficient Fourier pricing technique compatible with BSDEs is developed and implemented. We prove our understanding of this technique by reproducing some of the numerical experiments and results in Ruijter, Marjon J and Oosterlee, Cornelis W (2016), and outlining some key implementationl considerations. | |
| dc.identifier.apacitation | Mashalaba, Q. (2019). <i>Implementation of numerical Fourier method for second order Taylor schemes</i>. (). ,Faculty of Commerce ,African Institute of Financial Markets and Risk Management. Retrieved from http://hdl.handle.net/11427/30978 | en_ZA |
| dc.identifier.chicagocitation | Mashalaba, Qaphela. <i>"Implementation of numerical Fourier method for second order Taylor schemes."</i> ., ,Faculty of Commerce ,African Institute of Financial Markets and Risk Management, 2019. http://hdl.handle.net/11427/30978 | en_ZA |
| dc.identifier.citation | Mashalaba, Q. 2019. Implementation of numerical Fourier method for second order Taylor schemes. | en_ZA |
| dc.identifier.ris | TY - Thesis / Dissertation AU - Mashalaba, Qaphela AB - The problem of pricing contingent claims in a complete market has received a significant amount of attention in literature since the seminal work of Black, Fischer and Scholes, Myron (1973). It was also in 1973 that the theory of backward stochastic differential equations (BSDEs) was developed by Bismut, Jean-Michel (1973), but it was much later in the literature that BSDEs developed links to contingent claim pricing. This dissertation is a thorough exposition of the survey paper Ruijter, Marjon J and Oosterlee, Cornelis W (2016) in which a highly accurate and efficient Fourier pricing technique compatible with BSDEs is developed and implemented. We prove our understanding of this technique by reproducing some of the numerical experiments and results in Ruijter, Marjon J and Oosterlee, Cornelis W (2016), and outlining some key implementationl considerations. DA - 2019 DB - OpenUCT DP - University of Cape Town KW - Mathematical Finance LK - https://open.uct.ac.za PY - 2019 T1 - Implementation of numerical Fourier method for second order Taylor schemes TI - Implementation of numerical Fourier method for second order Taylor schemes UR - http://hdl.handle.net/11427/30978 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/30978 | |
| dc.identifier.vancouvercitation | Mashalaba Q. Implementation of numerical Fourier method for second order Taylor schemes. []. ,Faculty of Commerce ,African Institute of Financial Markets and Risk Management, 2019 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/30978 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | African Institute of Financial Markets and Risk Management | |
| dc.publisher.faculty | Faculty of Commerce | |
| dc.subject | Mathematical Finance | |
| dc.title | Implementation of numerical Fourier method for second order Taylor schemes | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationname | MPhil |