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Mean-reverting assets with mean-reverting volatility.

Lo, Yu Wai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 66-70). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Literature Review --- p.8 / Chapter 2.1 --- Mean-reverting Model --- p.8 / Chapter 2.2 --- Volatility Smile --- p.11 / Chapter 2.3 --- Stochastic Volatility Model --- p.13 / Chapter 2.4 --- Multiscale Stochastic Volatility Model --- p.15 / Chapter 3 --- The Heston Stochastic Volatility --- p.17 / Chapter 3.1 --- The Model --- p.17 / Chapter 3.1.1 --- The Characteristic Function --- p.18 / Chapter 3.2 --- European Option Pricing --- p.24 / Chapter 3.2.1 --- Plain Vanilla Options --- p.25 / Chapter 3.2.2 --- Implied Volatility --- p.28 / Chapter 3.2.3 --- Other Payoff Functions --- p.30 / Chapter 3.3 --- Trinomial Tree: Exotic Option Pricing --- p.31 / Chapter 3.3.1 --- Sub-tree for the volatility --- p.33 / Chapter 3.3.2 --- Sub-tree for the asset --- p.34 / Chapter 3.3.3 --- Non-zero Correlation --- p.37 / Chapter 3.3.4 --- Calibration to Future prices --- p.38 / Chapter 3.3.5 --- Numerical Examples --- p.39 / Chapter 4 --- Multiscale Stochastic Volatility --- p.42 / Chapter 4.1 --- Model Settings --- p.42 / Chapter 4.2 --- Pricing --- p.44 / Chapter 4.3 --- Simulation studies --- p.54 / Chapter 5 --- Conclusion --- p.59 / Appendix --- p.61 / Chapter A --- Verifications --- p.61 / Chapter A.l --- Proof of Lemma 3.1.1 --- p.61 / Chapter B --- Black-Scholes Greeks --- p.64 / Bibliography --- p.66

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326310
Date January 2008
ContributorsLo, Yu Wai., Chinese University of Hong Kong Graduate School. Division of Risk Management Science.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, viii, 70 leaves : ill. ; 30 cm.
RightsUse 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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