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Double hitting time distribution of mean-reverting lognormal process and its application in finance. / 均值回復正態過程的雙撞擊時間分佈以及其在金融上的應 / Double hitting time distribution of mean-reverting lognormal process and its application in finance. / Jun zhi hui fu zheng tai guo cheng de shuang zhuang ji shi jian fen bu yi ji qi zai jin rong shang de ying

Chung, Tsz Kin = 均值回復正態過程的雙撞擊時間分佈以及其在金融上的應用 / 鍾子健. / Thesis submitted in: December 2008. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 101-105). / Abstracts in English and Chinese. / Chung, Tsz Kin = Jun zhi hui fu zheng tai guo cheng de shuang zhuang ji shi jian fen bu yi ji qi zai jin rong shang de ying yong / Zhong Zijian. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Overview --- p.1 / Chapter 1.2 --- Mean-reverting lognormal (MRL) process --- p.3 / Chapter 1.3 --- MRL-process and AR(l)-process --- p.5 / Chapter 2 --- Double Hitting Time Distribution of a Mean-Reverting Log-normal Process --- p.8 / Chapter 2.1 --- Introduction --- p.8 / Chapter 2.2 --- Probability density function --- p.9 / Chapter 2.3 --- Interpolation scheme - estimates and bounds --- p.12 / Chapter 2.4 --- Multi-stage approximation scheme --- p.17 / Chapter 2.5 --- Hitting time distribution and density --- p.19 / Chapter 2.6 --- Numerical analysis --- p.20 / Chapter 2.7 --- Appendix --- p.24 / Chapter 2.7.1 --- Solving the Fokker-Planck equation --- p.24 / Chapter 2.7.2 --- Probability density function associated with two piecewise-continuous boundaries --- p.27 / Chapter 3 --- Pricing Exotic Options with Mean Reversion --- p.29 / Chapter 3.1 --- Introduction --- p.29 / Chapter 3.2 --- Barrier options --- p.30 / Chapter 3.2.1 --- Double barrier options --- p.32 / Chapter 3.2.2 --- Rebates --- p.33 / Chapter 3.2.3 --- Numerical examples --- p.34 / Chapter 3.3 --- Lookback options --- p.36 / Chapter 3.3.1 --- Expected minimum and maximum --- p.37 / Chapter 3.3.2 --- Standard lookback options --- p.41 / Chapter 3.3.3 --- Fixed strike lookback options --- p.42 / Chapter 3.3.4 --- Lookback spread option --- p.43 / Chapter 3.3.5 --- Numerical examples --- p.43 / Chapter 3.4 --- Sensitivity analysis --- p.46 / Chapter 3.4.1 --- Analysis ´ؤ double knock-out call option --- p.47 / Chapter 3.4.2 --- Analysis ´ؤ floating strike lookback put option --- p.52 / Chapter 3.4.3 --- Analysis ´ؤ lookback spread option --- p.56 / Chapter 3.4.4 --- Summary --- p.60 / Chapter 3.5 --- Appendix --- p.61 / Chapter 3.5.1 --- Closed-form price formula of the double knock-out call option --- p.61 / Chapter 3.5.2 --- Derivations of lookback options --- p.63 / Chapter 4 --- Using First-Passage-Time Density to Assess Realignment Risk of a Target Zone --- p.66 / Chapter 4.1 --- Realignment risk of a target zone --- p.66 / Chapter 4.1.1 --- Currency option market and target zone --- p.66 / Chapter 4.1.2 --- First-Passage-Time approach --- p.67 / Chapter 4.1.3 --- Option price and implied volatility --- p.69 / Chapter 4.1.4 --- FPT density and realignment risk --- p.73 / Chapter 4.2 --- The ERM crisis of 1992 --- p.74 / Chapter 4.2.1 --- British pound (GBP) target zone --- p.74 / Chapter 4.2.2 --- Italian lira (ITL) target zone --- p.81 / Chapter 4.2.3 --- Summary --- p.85 / Chapter 5 --- Market Expectation of Appreciation of the Renminbi --- p.87 / Chapter 5.1 --- The Chinese Renminbi exchange rate system --- p.87 / Chapter 5.2 --- First-Passage-Time approach --- p.90 / Chapter 5.3 --- Estimations of expected maximum appreciation of Renminbi --- p.92 / Chapter 5.4 --- Appendix --- p.99 / Chapter 5.4.1 --- Derivations of the expected minimum and maximum --- p.99 / Bibliography --- p.101

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326513
Date January 2009
ContributorsChung, Tsz Kin., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xiii, 105 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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