Pricing, Calibration and Hedging under the LIBOR model
| dc.contributor.advisor | Ouwehand, Peter | |
| dc.contributor.author | Menziwa, Singalakha | |
| dc.date.accessioned | 2024-07-04T13:33:31Z | |
| dc.date.available | 2024-07-04T13:33:31Z | |
| dc.date.issued | 2024 | |
| dc.date.updated | 2024-07-04T13:29:37Z | |
| dc.description.abstract | This dissertation reviews work done by Dun et al. (2001). We present an algorithm for generating the LIBOR forward rates, which encompasses the functionality for pricing interest rate derivatives. We further generalise the algorithm to implement the predictor-corrector method. Calibration is carried out to price swaptions using the Black-76 and LIBOR methods, and the hedging strategies implied by both methods are considered. We aim to determine whether the theoretical and computational overhead associated with hedging swaptions using the LIBOR method improves the hedging accuracy over the more straightforward Black-76 method. The simulation is conducted within the LIBOR model framework. While inconsistent with the model assumptions, the Black method performed equally well as the LIBOR method as we obtained similar hedging profit and loss distributions even at high portfolio rebalancing frequencies. | |
| dc.identifier.apacitation | Menziwa, S. (2024). <i>Pricing, Calibration and Hedging under the LIBOR model</i>. (). ,Faculty of Commerce ,Department of Finance and Tax. Retrieved from http://hdl.handle.net/11427/40257 | en_ZA |
| dc.identifier.chicagocitation | Menziwa, Singalakha. <i>"Pricing, Calibration and Hedging under the LIBOR model."</i> ., ,Faculty of Commerce ,Department of Finance and Tax, 2024. http://hdl.handle.net/11427/40257 | en_ZA |
| dc.identifier.citation | Menziwa, S. 2024. Pricing, Calibration and Hedging under the LIBOR model. . ,Faculty of Commerce ,Department of Finance and Tax. http://hdl.handle.net/11427/40257 | en_ZA |
| dc.identifier.ris | TY - Thesis / Dissertation AU - Menziwa, Singalakha AB - This dissertation reviews work done by Dun et al. (2001). We present an algorithm for generating the LIBOR forward rates, which encompasses the functionality for pricing interest rate derivatives. We further generalise the algorithm to implement the predictor-corrector method. Calibration is carried out to price swaptions using the Black-76 and LIBOR methods, and the hedging strategies implied by both methods are considered. We aim to determine whether the theoretical and computational overhead associated with hedging swaptions using the LIBOR method improves the hedging accuracy over the more straightforward Black-76 method. The simulation is conducted within the LIBOR model framework. While inconsistent with the model assumptions, the Black method performed equally well as the LIBOR method as we obtained similar hedging profit and loss distributions even at high portfolio rebalancing frequencies. DA - 2024 DB - OpenUCT DP - University of Cape Town KW - Finance and Tax LK - https://open.uct.ac.za PY - 2024 T1 - Pricing, Calibration and Hedging under the LIBOR model TI - Pricing, Calibration and Hedging under the LIBOR model UR - http://hdl.handle.net/11427/40257 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/40257 | |
| dc.identifier.vancouvercitation | Menziwa S. Pricing, Calibration and Hedging under the LIBOR model. []. ,Faculty of Commerce ,Department of Finance and Tax, 2024 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/40257 | en_ZA |
| dc.language.rfc3066 | Eng | |
| dc.publisher.department | Department of Finance and Tax | |
| dc.publisher.faculty | Faculty of Commerce | |
| dc.subject | Finance and Tax | |
| dc.title | Pricing, Calibration and Hedging under the LIBOR model | |
| dc.type | Thesis / Dissertation | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MPhil |