This thesis considers the effect of stochastic skew in the interest rate cap and currency option markets, where we observe obvious stochastic variation of skew of implied volatility curve over time. To develop option pricing models consistent with empirical evidence, we adopt the Wishart process to model both stochastic volatility and stochastic skew of the asset return and to price options in both markets. As an affine model, the model is analytically tractable. Some distributional properties of the models are studied. The key feature of our model is that, when compared with the multi-factor Heston model, which generates stochastic skew through its volatility processes, the Wishart process contains not only volatility processes, but also volatility-unrelated processes which provide extra freedom to model the variation of skew that is not captured by the volatility processes. Numerical experiments demonstrate that the Wishart model has greater flexibility to model stochastic skew than the multi-factor Heston model in both the interest rate cap market and currency option market. Finally, results of calibration to market data and model estimation demonstrate the superiority of the Wishart model to the multi-factor Heston model in the interest rate cap market. / Ng, Hon Yip. / Advisers: Kwai-Sun Leung; Duan Li. / Source: Dissertation Abstracts International, Volume: 73-09(E), Section: A. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 89-98). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. Ann Arbor, MI : ProQuest dissertations and theses, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstract also in Chinese.
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_345089 |
| Date | January 2011 |
| Contributors | Ng, Hon Yip., Chinese University of Hong Kong Graduate School. Division of Systems Engineering and Engineering Management. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, theses |
| Format | electronic resource, microform, microfiche, 1 online resource (xii, 98 leaves : ill.) |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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