Testing of an Arbitrage-free Volatility Surface
| dc.contributor.advisor | Rudd, Ralph | |
| dc.contributor.author | Tarr, Grant | |
| dc.date.accessioned | 2023-03-13T10:02:26Z | |
| dc.date.available | 2023-03-13T10:02:26Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2023-02-21T07:22:11Z | |
| dc.description.abstract | The Ensemble Carr-Pelts surface, which is a weighted mixture of standard CarrPelts surfaces, is an arbitrage-free parameterization of an implied volatility surface proposed by Antonov, Konikov and Spector (2019). This dissertation aims to investigate the additional benefits provided by using the Ensemble Carr-Pelts surface as opposed to the standard Carr-Pelts surface. We also show its validity in comparison to stochastic volatility inspired Gatheral (2004) surface, which is widely used by practitioners. The approach adopted was done in three stages, with each stage calibrating to an increasingly complicated surface. Surfaces considered were a flat volatility surface, a surface changing with strike only, and a surface changing with both strike and maturity. Testing revealed that as complexity increased for the implied volatility surface, the Ensemble Carr-Pelts calibrated better than CarrPelts. When compared to the widely accepted stochastic volatility inspired surface; considering no-arbitrage was not enforced, the Ensemble Carr-Pelts performed adequately. However, the Ensemble Carr-Pelts takes significantly longer to calibrate. | |
| dc.identifier.apacitation | Tarr, G. (2022). <i>Testing of an Arbitrage-free Volatility Surface</i>. (). ,Faculty of Commerce ,Department of Finance and Tax. Retrieved from http://hdl.handle.net/11427/37375 | en_ZA |
| dc.identifier.chicagocitation | Tarr, Grant. <i>"Testing of an Arbitrage-free Volatility Surface."</i> ., ,Faculty of Commerce ,Department of Finance and Tax, 2022. http://hdl.handle.net/11427/37375 | en_ZA |
| dc.identifier.citation | Tarr, G. 2022. Testing of an Arbitrage-free Volatility Surface. . ,Faculty of Commerce ,Department of Finance and Tax. http://hdl.handle.net/11427/37375 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Tarr, Grant AB - The Ensemble Carr-Pelts surface, which is a weighted mixture of standard CarrPelts surfaces, is an arbitrage-free parameterization of an implied volatility surface proposed by Antonov, Konikov and Spector (2019). This dissertation aims to investigate the additional benefits provided by using the Ensemble Carr-Pelts surface as opposed to the standard Carr-Pelts surface. We also show its validity in comparison to stochastic volatility inspired Gatheral (2004) surface, which is widely used by practitioners. The approach adopted was done in three stages, with each stage calibrating to an increasingly complicated surface. Surfaces considered were a flat volatility surface, a surface changing with strike only, and a surface changing with both strike and maturity. Testing revealed that as complexity increased for the implied volatility surface, the Ensemble Carr-Pelts calibrated better than CarrPelts. When compared to the widely accepted stochastic volatility inspired surface; considering no-arbitrage was not enforced, the Ensemble Carr-Pelts performed adequately. However, the Ensemble Carr-Pelts takes significantly longer to calibrate. DA - 2022_ DB - OpenUCT DP - University of Cape Town KW - Mathematical Finance LK - https://open.uct.ac.za PY - 2022 T1 - Testing of an Arbitrage-free Volatility Surface TI - Testing of an Arbitrage-free Volatility Surface UR - http://hdl.handle.net/11427/37375 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/37375 | |
| dc.identifier.vancouvercitation | Tarr G. Testing of an Arbitrage-free Volatility Surface. []. ,Faculty of Commerce ,Department of Finance and Tax, 2022 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/37375 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Finance and Tax | |
| dc.publisher.faculty | Faculty of Commerce | |
| dc.subject | Mathematical Finance | |
| dc.title | Testing of an Arbitrage-free Volatility Surface | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MPhil |