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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326513 |
| Date | January 2009 |
| Contributors | Chung, Tsz Kin., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xiii, 105 leaves : ill. ; 30 cm. |
| 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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