Parameter learning with particle filters
| dc.contributor.advisor | Rudd, Ralph | |
| dc.contributor.advisor | Soane, Andrew | |
| dc.contributor.author | Pather, Vegan | |
| dc.date.accessioned | 2021-02-20T20:22:42Z | |
| dc.date.available | 2021-02-20T20:22:42Z | |
| dc.date.issued | 2020 | |
| dc.date.updated | 2021-02-20T20:22:13Z | |
| dc.description.abstract | Common applications of asset-pricing models in practice rely on recalibrating model parameters periodically for effective risk management. Yet, these model parameters are often assumed to be constant over time, thereby countering the notion of readjusting these values. A possible solution to this problem is to recalibrate at times where observed market prices cannot realistically match model prices based on parameter values at those times. This dissertation aims to test the effectiveness of a possible algorithm which can be used in optimally identifying such times. An overview is provided of the recently proposed particle filter with accelerated adaptation which has demonstrated rapid time detection for changes in parameter values and has been applied to regime-shifting and stochastic volatility models. Numerical and graphical evidence of parameter and volatility estimation will be provided under regime-shifting parameters for the Heston (1993) stochastic volatility model. The filter demonstrates rapid adaptation in estimating parameter values and accurate estimation of the volatility process. Furthermore, we provide a discussion for possible extensions towards a metric for optimal recalibration times. | |
| dc.identifier.apacitation | Pather, V. (2020). <i>Parameter learning with particle filters</i>. (). ,Faculty of Commerce ,Division of Actuarial Science. Retrieved from http://hdl.handle.net/11427/32913 | en_ZA |
| dc.identifier.chicagocitation | Pather, Vegan. <i>"Parameter learning with particle filters."</i> ., ,Faculty of Commerce ,Division of Actuarial Science, 2020. http://hdl.handle.net/11427/32913 | en_ZA |
| dc.identifier.citation | Pather, V. 2020. Parameter learning with particle filters. . ,Faculty of Commerce ,Division of Actuarial Science. http://hdl.handle.net/11427/32913 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Pather, Vegan AB - Common applications of asset-pricing models in practice rely on recalibrating model parameters periodically for effective risk management. Yet, these model parameters are often assumed to be constant over time, thereby countering the notion of readjusting these values. A possible solution to this problem is to recalibrate at times where observed market prices cannot realistically match model prices based on parameter values at those times. This dissertation aims to test the effectiveness of a possible algorithm which can be used in optimally identifying such times. An overview is provided of the recently proposed particle filter with accelerated adaptation which has demonstrated rapid time detection for changes in parameter values and has been applied to regime-shifting and stochastic volatility models. Numerical and graphical evidence of parameter and volatility estimation will be provided under regime-shifting parameters for the Heston (1993) stochastic volatility model. The filter demonstrates rapid adaptation in estimating parameter values and accurate estimation of the volatility process. Furthermore, we provide a discussion for possible extensions towards a metric for optimal recalibration times. DA - 2020_ DB - OpenUCT DP - University of Cape Town KW - Mathematical Finance LK - https://open.uct.ac.za PY - 2020 T1 - Parameter learning with particle filters TI - Parameter learning with particle filters UR - http://hdl.handle.net/11427/32913 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/32913 | |
| dc.identifier.vancouvercitation | Pather V. Parameter learning with particle filters. []. ,Faculty of Commerce ,Division of Actuarial Science, 2020 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/32913 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Division of Actuarial Science | |
| dc.publisher.faculty | Faculty of Commerce | |
| dc.subject | Mathematical Finance | |
| dc.title | Parameter learning with particle filters | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MPhil |