O objetivo deste estudo é estimar o viés de substituição de produtos no cálculo da inflação ao consumidor, ou seja, estimar a inflação levando em conta a possibilidade da troca de bens dentro de uma cesta de produtos em resposta à mudança de preços relativos. Isso ocorre porque a fórmula utilizada atualmente pelo IBGE, tanto para o INPC quanto para o IPCA, para medir a inflação ao consumidor é a de Laspeyres modificado base móvel (índice do Bureau), que considera a mesma cesta de bens e serviços ao longo do tempo. Este índice tende a superestimar o aumento do custo de vida justamente por não considerar as trocas. Seguindo trabalhos anteriores, a estimação do viés se deu comparando um índice Laspeyres para um subconjunto do IPCA com a inflação mensurada pelo índice de Theil-Tornqvist para o mesmo subconjunto de produtos. Este índice se aproxima de um índice de custo de vida, logo, que considera a substituição de bens. No entanto, ele necessita atualizações freqüentes das cestas de bens e serviços ou das estruturas de ponderação. Como não existem no Brasil pesquisas de consumo das famílias que forneça estruturas de ponderações periódicas, estas tiveram que ser estimadas. Para tanto, foram utilizadas previsões de um modelo de sistema de demanda AIDS baseado nos microdados da POF 95-96. O viés de substituição estimado foi de 3,33 p.p. de agosto de 1999 a junho de 2006, o que equivale a dizer que a inflação ao consumidor foi superestimada em 0,31 p.p. ao ano. Pela impossibilidade de trabalhar com o nível mais desagregado do IPCA (o subitem), certamente, o viés calculado é subestimado. Caso o viés estimado fosse descontado dos reajustes dados às aposentadorias, pensões e demais auxílios concedidos pelo Ministério da Previdência e Assistência Social, o governo poderia ter poupado de 2000 a junho de 2006, aproximadamente, R$ 8 bilhões. / The objective of this study is to estimate the substitution of products bias in the calculation of consumer inflation, therefore, estimate the inflation taking into account the possibility of switching goods in a basket of products, in response to a change in relative prices. This happens because the estimation formula used by IBGE, both with INPC an IPCA, to measure consumer inflation is Laspeyres (Bureau\'s index), witch considers the same basket of goods over time. This index tends to overestimate the increase in the living cost, by not taking into account the substitution of products. Following previous works, the estimation of the bias was made comparing a Lapeyres index for a subgroups of IPCA with the inflation measure by the Theil-Tornqvist index for the same subgroups. This gets closer to an index of cost of living, which considers the substitution of goods. However, it needs frequent updates of the baskets of goods and services or of the weighted structures. As there are no surveys of family consumption in Brazil that provide periodic weighted structures, these had to be estimated. To do it, were used micro data of POF 95-96. The substitution bias estimated was 3,33 p.p of August 1999 to June 2006, which is equivalent of saying that the consumer inflation was overestimated in 0,31 p.p per year. With the impossibility of working with a more highly disaggregated level of IPCA (the sub items), certainly the calculated bias was underestimated. If the bias estimated was discounted from adjustment given to retirement, pensions and other benefits granted by the Ministry of Welfare and Social Assistance, the government could have saved, from 2000 to June 2006, approximately R$ 8 billions.

Chan Chun Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 63-66). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Volatility Smile and Stochastic Volatility Models --- p.6 / Chapter 2.1 --- Volatility Smile --- p.6 / Chapter 2.2 --- Stochastic Volatility Model --- p.9 / Chapter 2.3 --- Multiscale Stochastic Volatility Model --- p.12 / Chapter 3 --- Lookback Options --- p.14 / Chapter 3.1 --- Lookback Options --- p.14 / Chapter 3.2 --- Lookback Spread Option --- p.15 / Chapter 3.3 --- Dynamic Fund Protection --- p.16 / Chapter 3.4 --- Floating Strike Lookback Options under Black-Scholes Model --- p.17 / Chapter 4 --- Floating Strike Lookback Options under Multiscale Stochastic Volatility Model --- p.21 / Chapter 4.1 --- Multiscale Stochastic Volatility Model --- p.22 / Chapter 4.1.1 --- Model Settings --- p.22 / Chapter 4.1.2 --- Partial Differential Equation for Lookbacks --- p.24 / Chapter 4.2 --- Pricing Lookbacks in Multiscale Asymtoeics --- p.26 / Chapter 4.2.1 --- Fast Tirnescale Asymtotics --- p.28 / Chapter 4.2.2 --- Slow Tirnescale Asymtotics --- p.31 / Chapter 4.2.3 --- Price Approximation --- p.33 / Chapter 4.2.4 --- Estimation of Approximation Errors --- p.36 / Chapter 4.3 --- Floating Strike Lookback Options --- p.37 / Chapter 4.3.1 --- Accuracy for the Price Approximation --- p.39 / Chapter 4.4 --- Calibration --- p.40 / Chapter 5 --- Other Lookback Products --- p.43 / Chapter 5.1 --- Fixed Strike Lookback Options --- p.43 / Chapter 5.2 --- Lookback Spread Option --- p.44 / Chapter 5.3 --- Dynamic Fund Protection --- p.45 / Chapter 6 --- Numerical Results --- p.49 / Chapter 7 --- Conclusion --- p.53 / Appendix --- p.55 / Chapter A --- Verifications --- p.55 / Chapter A.1 --- Formula (4.12) --- p.55 / Chapter A.2 --- Formula (4.22) --- p.56 / Chapter B --- Proof of Proposition --- p.57 / Chapter B.1 --- Proof of Proposition (4.2.2) --- p.57 / Chapter C --- Black-Scholes Greeks for Lookback Options --- p.60 / Bibliography --- p.63

技術分析包括圖表分析和技術指標分析。比較兩者，前者偏於主觀，並且解讀方式不一，而後者卻能用科學方法來考量。本研究論文先分析市場上流行的技術指標，移動平均線。交易員觀測兩條不同日數的移動平均線，從兩線相交處尋找進出市場的時機。從領域來看，兩條不同日數的移動平均線之差屬於一種帶通濾波器。本文將解釋帶通濾波器與市場進出規則之間的關係。除了移動平均線這種線性方法，我們同時考慮非線性的訊號處理工具。特別地，本研究採用近代提出的經驗模態分解法，得出類似移動平均線相交法的一種新交易策略。我們將文中提及的方法應用在香港及中國過去五年的股票市場，並給出數值結果以顯其效。 / Technical analysis includes chart pattern reading and stock market indicators. While the former is subjective and open to different interpretations, the latter is quantied in a more scientic way. The moving average, a popular market indicator, will be analyzed in this thesis. Traders monitor the crossovers of two moving averages with different durations to nd market entry timings. From the viewpoint of frequency domain, the difference of two such moving averages is found to be a band-pass filter. The relation between band-pass filter and market entry strategy is explained. Apartfrom linear methods such as the moving average,non linear signal processing tool is also studied. In particular,the modern empirical mode decomposition is applied to derive a new trading strategy similar to the moving average crossover rule. The introduced methods are put to the test in the Hong Kong and Chinese stock markets for the last five years. Numerical results are presented to show the performance of the methods. / Detailed summary in vernacular field only. / Lee, Tsz Ho. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2012. / Includes bibliographical references (leaves 64-66). / Abstracts also in Chinese. / Chapter 1 --- Introduction --- p.7 / Chapter 2 --- Linear Filters --- p.11 / Chapter 2.1 --- Introduction --- p.11 / Chapter 2.2 --- Frequency response --- p.13 / Chapter 2.3 --- Recursive filters --- p.16 / Chapter 2.4 --- Convolution theorem --- p.20 / Chapter 3 --- Momentum Indicators --- p.23 / Chapter 3.1 --- Introduction --- p.23 / Chapter 3.2 --- Momentum indicators --- p.24 / Chapter 3.3 --- Crossover of two moving averages --- p.25 / Chapter 3.4 --- MACD and acceleration indicators --- p.27 / Chapter 4 --- Profitability of Momentum Indicators --- p.33 / Chapter 4.1 --- Introduction --- p.33 / Chapter 4.2 --- Trading methodology --- p.34 / Chapter 4.3 --- Evaluating the performance --- p.36 / Chapter 4.4 --- Results of evaluation --- p.39 / Chapter 5 --- Empirical Mode Decomposition --- p.45 / Chapter 5.1 --- Introduction --- p.45 / Chapter 5.2 --- Instantaneous frequency --- p.46 / Chapter 5.3 --- Empirical mode decomposition --- p.47 / Chapter 5.4 --- Trading methodology --- p.50 / Chapter 5.5 --- Results of evaluation --- p.52 / Chapter 6 --- Discussions --- p.57 / Chapter A Descriptive Statistics and Additional Numerical Results --- p.60 / Bibliography --- p.64

这篇论文研究了当假设的数据分布与实际不符时估计多维乘积误差模型参数的方法，和该模型在预测领域的应用。论文的第一部分讨论了两种在以前的文献中被用来估计该模型的估计方法：最大似然估计法和广义矩估计法。并在对数据做了不同的干扰后比较了这两种方法。比较结果显示这两种方法都易受偏离值的影响。因此论文的第二部分提出了一种新的估计方法：权重经验似然估计法。在模拟实验和使用包含了当前经济危机间断数据的标准普尔指数的实际实验中，对比最大似然估计法和广义矩估计法，权重经验似然函数显示出了对偏离值有更好的抗性。论文的第三部分进一步研究了多维乘积误差模型在预测中的应用。并且这一部分还提出了实波动性的一种新的分解方式。分解得到的两个新的变量可以被多维乘积误差模型所模拟。通过比较标准普尔指数和纳斯达克指数的预测结果，比起以前用来估计实波动性的三种模型，多维乘积向量模型和新的分解方式显示出了更强的预测能力。 / This thesis studies the estimations of vector Multiplicative Error Model (MEM) under different kinds of model mismatches and its application in forecasting. In the first part of the thesis, two estimation methods, Maximum Likelihood (ML) method and Generalized Method of Moments (GMM), which have previously been used on vector MEM, are compared through different situations of data contaminations. From the comparison results it is found that both ML and GMM estimators are suspected to outliers in data. Therefore in the second part of the thesis a novel estimator is proposed: Weighted Empirical Likelihood (WEL) estimator. It is shown to be more robust than ML and GMM estimators in simulations, and also in forecasting realized volatility and bipower volatility of S&P 500 stock index including the current financial crisis period. The forecast ability of vector MEM is further addressed in the third part of the thesis, where an alternative decomposition of realized volatility is proposed, and vector MEM is used to model and forecast the two components of realized volatility. From the realized volatility forecasts of S&P 500, NASDAQ and Dow Jones, this decomposition together with vector MEM are illustrated to have superior performances over three competing models which have been applied on forecasting realized volatility before. / Detailed summary in vernacular field only. / Ding, Hao. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 203-213). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts also in Chinese. / Abstract --- p.i / Acknowledgement --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Outline of the thesis --- p.5 / Chapter 1.2 --- Conclusion --- p.7 / Chapter 2 --- Background study --- p.9 / Chapter 2.1 --- Multiplicative Error Model --- p.9 / Chapter 2.1.1 --- Introduction --- p.9 / Chapter 2.1.2 --- Developments of MEM --- p.12 / Chapter 2.1.3 --- Vector MEM --- p.17 / Chapter 2.2 --- Two functions for multivariate analysis --- p.25 / Chapter 2.2.1 --- Copula function --- p.25 / Chapter 2.2.2 --- Depth function --- p.32 / Chapter 3 --- Two Estimators for Vector MEM --- p.39 / Chapter 3.1 --- Two Stage Maximum Likelihood --- p.40 / Chapter 3.1.1 --- Introduction --- p.41 / Chapter 3.1.2 --- Simulation of two stage ML --- p.44 / Chapter 3.2 --- Maximum Likelihood estimator --- p.48 / Chapter 3.2.1 --- Derivatives of score function --- p.50 / Chapter 3.3 --- GMM estimator --- p.57 / Chapter 3.4 --- Comparing ML and GMM through simulations --- p.60 / Chapter 3.4.1 --- Generation of clean data --- p.61 / Chapter 3.4.2 --- Data contamination --- p.62 / Chapter 3.4.3 --- Optimization --- p.64 / Chapter 3.4.4 --- Resutls on clean data --- p.65 / Chapter 3.4.5 --- Results on contaminated data --- p.66 / Chapter 3.5 --- conclusion --- p.69 / Chapter 4 --- Weighted Empirical Likelihood Estimator --- p.77 / Chapter 4.1 --- Introduction --- p.78 / Chapter 4.2 --- Vector multiplicative error model and two estimation methods --- p.83 / Chapter 4.3 --- Weighted Empirical Likelihood --- p.88 / Chapter 4.3.1 --- Inner optimization --- p.93 / Chapter 4.3.2 --- Calculation of weights --- p.97 / Chapter 4.4 --- Simulation study on outliers --- p.101 / Chapter 4.4.1 --- Clean data --- p.103 / Chapter 4.4.2 --- Outliers --- p.105 / Chapter 4.4.3 --- Simulation results --- p.108 / Chapter 4.5 --- Computations of high dimension vector MEM --- p.111 / Chapter 4.5.1 --- The influences of dimension on ML --- p.111 / Chapter 4.5.2 --- The influences of dimension on GMM --- p.113 / Chapter 4.5.3 --- The influences of dimension on WEL --- p.115 / Chapter 4.5.4 --- Simulation --- p.116 / Chapter 4.6 --- Compare weighted empirical likelihood and empirical likelihood --- p.118 / Chapter 4.7 --- Empirical example --- p.121 / Chapter 4.7.1 --- Model --- p.123 / Chapter 4.7.2 --- Forecast comparison criteria --- p.125 / Chapter 4.7.3 --- Results --- p.126 / Chapter 4.8 --- Conclusions --- p.127 / Chapter 5 --- Forecast RV by Vector MEM --- p.142 / Chapter 5.1 --- Introduction --- p.143 / Chapter 5.2 --- Multiplicative jump and vector MEM --- p.148 / Chapter 5.2.1 --- Multiplicative jump --- p.148 / Chapter 5.2.2 --- Vector MEM for jump and continuous components --- p.153 / Chapter 5.3 --- Empirical analysis --- p.156 / Chapter 5.3.1 --- Data summary --- p.157 / Chapter 5.3.2 --- Models --- p.160 / Chapter 5.3.3 --- Forecast comparison criteria --- p.164 / Chapter 5.3.4 --- Before-crisis period --- p.166 / Chapter 5.3.5 --- Crisis period --- p.172 / Chapter 5.3.6 --- Comparing M-jump and log M-jump --- p.176 / Chapter 5.3.7 --- Conclusion on empirical analysis --- p.183 / Chapter 5.4 --- Conclusion --- p.185 / Chapter 6 --- Conclusion and future Work --- p.198 / Bibliography --- p.203

In the first part, we propose a non-zero-sum stochastic game approach of pricing convertible bond under the framework that the capital structure of the firm involves tax rebate and endogenous default policy. Convertible bond is a hybrid security which embodies characteristics of both straight bond and equity. Beyond the bond provisions, it endows a conversion option for the bondholder to convert the bond for the equity of the issuing firm and a call option for the firm to buy the debt back. The conflict of interests between bondholder and shareholder affects the security prices significantly. In Chapter 2, we investigate how to use a non-zero-sum game framework to model their interaction and to evaluate the convertible bond accordingly. Mathematically, this problem can be reduced down to a system of variational inequalities. After we clarify the structure of the optimal exercise region of both parties, we manage to explicitly derive a unique Nash equilibrium to the constraint game and specify the associated optimal exercise strategies. Our model shows that tax benefit and credit risk can produce considerable impact on the optimal strategies of both parties. The firm may issue a call when the debt is out-of-the-money or in-the-money. This is consistent with the empirical findings of "late and early calls" (Ingersoll (1977), Mikkelson (1981), Cowan et al. (1993) and Ederington et al. (1997)) . In addition, the optimal call policy under our model offers an explanation to some stylized patterns related to the returns of the company value as well. / In the second part, we use Laplace transform to study the pricing problems of various path-dependent exotic options with the underlying asset following an exponentially distributed jump diffusion process. These exotic options include double-barrier option and some occupation-time-related derivatives such as step options, corridor options, and quantile options. The result about double barrier options is presented in Chapter 3, where we prove non-singularity of a related high-dimensional matrix, which guarantees the existence and uniqueness of the solution. Chapter 4 is our work on occupation-time-related options, which presents an extension of the Black-Scholes setting to Kou's double-exponential jump diffusion model. We derive the closed-form Laplace transform of the joint distribution of the occupation time and the terminal value of the double-exponential jump diffusion process, and apply the result to price various occupation-time-related derivatives. This is done by solving the associated two correlated ordinary integro-differential equations, thanks to the special property of the exponential. All the Laplace transform-based analytical solutions can be inverted easily via Euler Laplace inversion algorithm, and the numerical results illustrate that our pricing methods are accurate and efficient. / Key words. Convertible Bond; Non-zero-sum Differential Game; Tax Benefit; Credit Risk; Early/Late Calls; Positive/Negative Stock Return; Double-barrier Options; Step Options; Corridor Options; Quantile Options; Occupation-Time; Jump-Diffusion Process. / This dissertation contains two parts: a non-zero-sum game approach of convertible bond and exotic options pricing under exponential-type jump-diffusion model. / Wan, Xiangwei. / Adviser: Nan Chen. / Source: Dissertation Abstracts International, Volume: 72-04, Section: B, page: . / Thesis (Ph.D.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 157-170). / 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 Information and Learning Company, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstract also in Chinese.

Gao, Fei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 52-53). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Option Pricing with GARCH --- p.1 / Chapter 1.2 --- Mean Reversion in GARCH --- p.3 / Chapter 1.3 --- Thesis Setting --- p.4 / Chapter 2 --- Literature Review --- p.5 / Chapter 2.1 --- GARCH Model --- p.5 / Chapter 2.2 --- Locally Risk-Neutral Valuation --- p.8 / Chapter 2.3 --- Conditional Esscher Transform --- p.9 / Chapter 3 --- The Model --- p.12 / Chapter 3.1 --- The Mean-Reverting GARCH Model --- p.12 / Chapter 3.2 --- The Characteristic Functions --- p.15 / Chapter 3.3 --- Identification of Pricing Measures --- p.21 / Chapter 3.3.1 --- Conditional Esscher Transform --- p.21 / Chapter 3.3.2 --- Our Proposed Change of Measure --- p.25 / Chapter 4 --- Option Pricing --- p.30 / Chapter 4.1 --- Fast Fourier Transform --- p.30 / Chapter 4.2 --- Option on Futures : --- p.32 / Chapter 4.3 --- Numerical Analysis --- p.35 / Chapter 5 --- Empirical Analysis - Application to the crude oil market --- p.37 / Chapter 5.1 --- Description of data --- p.37 / Chapter 5.2 --- Estimation --- p.38 / Chapter 5.3 --- Comparisons --- p.40 / Chapter 6 --- Summary and Future work --- p.42 / Chapter 7 --- Appendix --- p.43 / Bibliography --- p.52

by Siu Wai-Fun. / Thesis (M.B.A.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 55-57). / ABSTRACT --- p.ii / TABLE OF CONTENTS --- p.iv / LIST OF ILLUSTRATIONS --- p.vi / LIST OF TABLES --- p.vii / ACKNOWLEDGEMENT --- p.viii / Chapter / Chapter I. --- INTRODUCTION --- p.1 / Chapter II. --- THE SOURCES OF HOUSING DEMAND --- p.4 / Demographic Demand --- p.4 / Keen Desire for Home Ownership --- p.5 / Investment Demand --- p.6 / Speculative Demand --- p.8 / Chapter III. --- THE SYSTEM OF HOUSING SUPPLY --- p.10 / Framework for Land Supply and Housing Production --- p.10 / New Land Disposal --- p.11 / Redevelopment of Existing Properties --- p.12 / Constraints on Land Supply for Residential Development --- p.12 / Production of Private Domestic Units --- p.13 / Chapter IV. --- CHANGES IN HOUSING PRICES --- p.15 / Housing Price Fluctuations --- p.16 / Affordability of Housing --- p.18 / Ownership Affordability --- p.19 / Rental Affordability --- p.20 / Chapter V. --- MODELLING HOUSING PRICES --- p.21 / Factors Affecting Price Movements --- p.21 / Demand Side Factors --- p.21 / Supply Side Factors --- p.23 / The Findings --- p.25 / Chapter VI. --- IMPLICATIONS TO GOVERNMENT'S HOUSING POLICIES --- p.27 / Implications from Housing Price Model --- p.27 / Government's Actions to Stabilise Housing Prices --- p.28 / Role of Speculators --- p.29 / Chapter VII. --- CONCLUSIONS AND POLICY CONSIDERATIONS --- p.30 / BIBLIOGRAPHY --- p.55

Guo, Min. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 66-69). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Notation and Model --- p.8 / Chapter 2.1 --- Notation --- p.9 / Chapter 2.2 --- Classical News vendor Model --- p.11 / Chapter 2.3 --- The Price of the Put Option --- p.12 / Chapter 2.4 --- Extended Models with the Option --- p.13 / Chapter 3 --- Literature Review --- p.16 / Chapter 4 --- Objective I ´ؤ Maximizing Expected Profit --- p.24 / Chapter 4.1 --- Single Decision Variable Case: K = Q --- p.24 / Chapter 4.2 --- Two Decision Variable Case: K ≤Q --- p.25 / Chapter 4.3 --- Summary of the Chapter --- p.28 / Chapter 5 --- Objective II ´ؤ Maximizing the Probability of Achieving A Target Profit --- p.30 / Chapter 5.1 --- Single Decision Variable Case: K = Q --- p.30 / Chapter 5.2 --- Two Decision Variable Case: K ≤ Q --- p.37 / Chapter 5.3 --- Numerical Examples --- p.38 / Chapter 5.4 --- Summary of the Chapter --- p.41 / Chapter 6 --- Objective III ´ؤ Minimizing Profit Variance --- p.43 / Chapter 6.1 --- Minimizing Profit Variance through R --- p.44 / Chapter 6.2 --- Minimizing Profit Variance through K --- p.51 / Chapter 6.2.1 --- Special Case R = s --- p.54 / Chapter 6.3 --- Summary of the Chapter --- p.60 / Chapter 7 --- Conclusion --- p.63 / Bibliography --- p.69

Bao, Zhenhua. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Literature Review --- p.5 / Chapter 2.1 --- Review of the Models --- p.6 / Chapter 2.1.1 --- Black-Scholes-Merton Model --- p.6 / Chapter 2.1.2 --- Merton's Jump Diffusion Model --- p.8 / Chapter 2.1.3 --- Stochastic Volatility Jump Diffusion Model --- p.10 / Chapter 2.1.4 --- Constant Elasticity of Variance (CEV) Model --- p.13 / Chapter 2.2 --- Kou´ةs Double Exponential Jump Diffusion Model --- p.16 / Chapter 2.2.1 --- The Model Formulation --- p.16 / Chapter 2.2.2 --- The Merits of the Model --- p.17 / Chapter 2.2.3 --- Preliminary Results --- p.20 / Chapter 2.2.4 --- Extant Results on Option Pricing under the Model --- p.21 / Chapter 2.3 --- The Laplace Transform and Its Inversion --- p.24 / Chapter 2.3.1 --- The Laplace Transform --- p.24 / Chapter 2.3.2 --- One-dimensional Euler Laplace Transform Inversion Algorithm --- p.25 / Chapter 2.3.3 --- Two-dimensional Euler Laplace Transform Inversion Algorithm --- p.28 / Chapter 2.4 --- Monte Carlo Simulation for Double Exponential Jump Diffusion --- p.32 / Chapter 3 --- Pricing Double Barrier Option via Laplace Transform --- p.34 / Chapter 3.1 --- Double Barrier Option and the First Passage Time --- p.35 / Chapter 3.2 --- Preliminary Results --- p.35 / Chapter 3.3 --- Laplace Transform of the First Passage Time --- p.38 / Chapter 3.4 --- Pricing Double Barrier Option via Laplace Transform --- p.50 / Chapter 4 --- Numerical Results --- p.54 / Chapter 5 --- Conclusion --- p.57

Tang, Sheung Yin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 76-82). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Literature Review --- p.9 / Chapter 3 --- Models --- p.20 / Chapter 3.1 --- Single Regime GARCH Models --- p.20 / Chapter 3.1.1 --- "GARCH (1,1) Model" --- p.22 / Chapter 3.1.2 --- "EGARCH (1, 1) Model" --- p.24 / Chapter 3.1.3 --- GARCH-M (1，1) Model --- p.25 / Chapter 3.2 --- Markov Regime Switching GARCH Model --- p.26 / Chapter 4 --- Data and Descriptive Analysis --- p.37 / Chapter 4.1 --- Data --- p.37 / Chapter 4.1.1 --- Unit Root and Stationary Tests --- p.39 / Chapter 4.1.2 --- Tests for Conditional Heteroskedasticity --- p.40 / Chapter 5 --- Empirical Results and Discussion --- p.43 / Chapter 5.1 --- In-Sample Statistics --- p.44 / Chapter 5.2 --- Forecasting Performance --- p.54 / Chapter 5.2.1 --- Results of Statistical Loss Functions --- p.55 / Chapter 5.3 --- Tests of Equal Predictive Ability --- p.62 / Chapter 5.3.1 --- Diebold-Mariano Test --- p.62 / Chapter 5.3.2 --- Results of DM Test --- p.64 / Chapter 6 --- Conclusion --- p.68 / A Forecasts from the Models --- p.72 / Bibliography --- p.76