In this thesis, we mainly study the portfolio selection problem with a set of index and options of stocks, based on a refined mean-variance methodology. Models in single-stage and multistage cases are studied, with a formulation using a scenario tree structure. We first investigate the pattern of the payoff of the optimal optioned portfolio. It turns out there is a rich structure with many interesting properties, including the piecewise linearity, risk-free return at some fixed scenarios, etc. We then extend the model to accommodate the features of multistage formulations. Both the mathematical programming methodology and the stochastic control methodology are applied to solve the decision model based on a scenario tree structure. Analytical formulations of the optimal portfolio together with an expression of the efficient frontier are derived. We also make an analysis of the relations between the two approaches. We further study some variations of the mean-variance formulation. These models are applied to construct a portfolio with same preferred payoff characters, such as monotonic payoff or guaranteed payoff. Finally, the tracking model is considered in this thesis. The optimal payoff and its mean-variance efficiency are analyzed. Throughout the thesis, many numerical examples with real life data are used to illustrate and validate our results. / Liang Jianfeng. / "May 2004." / Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0529. / Supervisors: Duan Li; Shuzhong Zhang. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (p. 120-126). / Available also through the Internet via Current research @ Chinese University of Hong Kong under title: Optioned portfolio selection models, analysis, and solution methods / 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. / Abstracts in English and Chinese. / School code: 1307.

Another achievement of this research is to elaborate the modified concept of Cash Rebate Mortgages. To examine the difference between Cash Rebate Mortgages and standard mortgages, we have built a simulation model to study the behavior of these two types of mortgages. The results indicate that the value of Cash Rebate Mortgages is higher than that of standard mortgages, but is more sensitive to embedded options. If the probability of exercising an option is higher, then the value of Cash Rebate Mortgages will drop at a faster rate than that of standard mortgages. / Several findings are elaborated in this dissertation. Our model has identified the major contributors to mortgage prepayment, and has developed a logistic regression model to describe prepayment behavior. We further illustrate that prepayment and default behavior are associated with financial reasons: the value of the refinancing incentive is usually greater than the prepayment penalty plus the transaction cost for refinancing mortgages, and the outstanding balance of the mortgage is higher than the current market value of the underlying property minus the transaction cost. / The final objective of this dissertation is to develop an option model for MBS issuers. Most previous studies that have developed MBS models have focused on investors, but the model that is presented here is specifically for MBS issuers. The current study develops a risk management tool for issuers and guarantors to monitor their MBS portfolios. The model projects the cash inflow of mortgages and the cash outflow to MBS, alters the traditional model by introducing decision trees, and uses a simulation program with multiple path generation to develop a model for issuers to manage their MBS portfolios. According to the results of the model, issuers can manage the risk level of their portfolios by determining the Collection Account Balance, the Overcollateralization Ratio, the Net Residual Value, and the Liquidity Advance. Finally this paper also provides suggestions on risk management for MBS issuers. / The objective of this dissertation is to develop an option model for residential mortgages and Mortgage-Backed Securities. Previous studies in the literature have identified several research opportunities that have not yet been explored. The current study attempts to fill the research gap, by altering the traditional model of mortgage valuation with a trinomial tree. We combine the prepayment, delinquency, default, and recovery of delinquency into a single model, to build a simulation program to generate different cash flow scenarios. The industrial data of the Korea Mortgage Corporation and a medium sized Hong Kong bank are used as empirical evidence for the model. / by Yat-ming Lam. / "February 2003." / Source: Dissertation Abstracts International, Volume: 64-09, Section: A, page: 3408. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (p. [222-235]). / Available also through the Internet via Current research @ Chinese University of Hong Kong under title: Option theory for mortgages and mortgage-backed securities (Korea, China) / 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. / Electronic reproduction. Ann Arbor, MI : ProQuest Information and Learning Company, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / School code: 1307.

在現今的社會，協整技術已被廣泛應用於金融和計量經濟領域，特別用於構建股票市場的統計套利策略。在這一篇論文中，我們主要考察在衍生品市場中，基於協整技術的套利交易策略，這一策略的主要研究對象是隱含波動率。利用隱性波動率的線性組合的均值回歸的特性，通過配對兩隻帶有正利差(如theta) 的短期平價歐式跨式期權來獲利。同時，構建實際波動率的模型和預測未來實際波動率的模型將會用於補充這一交易策略的不足，隱性一實際條件和Gamma-Vega條件被引入來提高交易策略的效率。這一策略的績效分析是基於三年的歷史外匯期權數據。從實證數據中，基於協整技術的策略能賺取利潤，而且Vega在利潤中起著重要的作用，並且無論是隱性一實際條件還是Gamma-Vega條件都是有效的。 / The notion of cointegration has been widely used in finance and econometrics, in particular in constructing statistical arbitrage strategies in the stock market. In this thesis, an arbitrage trading strategy for derivatives based on cointegration is studied to account for the volatility factor. Pairs of short dated at-the-money straddles of European options with positive net carry (i.e. theta) are used to capture the mean-reverting property of the linear combinations of implied volatilities. Furthermore, modeling and forecasting realized volatility are also considered as a supplement to the trading strategy. Implied-Realized Criertion and Gamma-Vega Criterion are introduced to improve the trading strategy. A performance analysis is conducted with a 3-year historical data of Foreign Exchange Options. From the empirical results, the portfolio based on the cointegration strategy makes a profit, where Vega plays a dominant role, and either the Implied-Realized Criertion or the Gamma-Vega Criterion is effective. / Detailed summary in vernacular field only. / Pun, Lai Fan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 43-45). / Abstracts also in Chinese. / List of Tables --- p.v / List of Figures --- p.vi / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Basic Ideas --- p.4 / Chapter 2.1 --- Cointegration and Johansen’s Methodology --- p.4 / Chapter 2.1.1 --- Cointegration --- p.4 / Chapter 2.1.2 --- Johansen’s Methodology --- p.5 / Chapter 2.2 --- Cointegration Pairs Trading Strategy --- p.6 / Chapter 2.3 --- Modelling and Forecasting Realized Volatility --- p.8 / Chapter 3 --- Cointegration Pairs Trading Strategy On Derivatives --- p.10 / Chapter 3.1 --- Trading On Implied Volatility --- p.10 / Chapter 3.2 --- Cointegration Trading Strategy --- p.12 / Chapter 3.3 --- Greek Letters --- p.13 / Chapter 3.3.1 --- Requirements of the Trade --- p.13 / Chapter 3.3.2 --- Approximation of the Expected P/L --- p.15 / Chapter 3.4 --- Foreign Exchange Options --- p.18 / Chapter 3.4.1 --- Cointegration Pairs --- p.19 / Chapter 3.4.2 --- Trading Process --- p.21 / Chapter 3.4.3 --- More Examples --- p.22 / Chapter 4 --- Further Trading Strategies --- p.26 / Chapter 4.1 --- Estimation of Realized Volatility --- p.26 / Chapter 4.2 --- Implied-Realized Criterion --- p.27 / Chapter 4.3 --- Gamma-Vega Criterion --- p.29 / Chapter 4.4 --- Summary --- p.32 / Chapter 5 --- Conclusion and Further Discussion --- p.37 / A --- p.39 / B --- p.41 / Bibliography --- p.43

Zhou Xiaozhou. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 58-59). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Overview --- p.1 / Chapter 1.2 --- Organization Outline --- p.4 / Chapter 2 --- Literature Review --- p.5 / Chapter 2.1 --- Option --- p.5 / Chapter 2.1.1 --- The definition of option --- p.5 / Chapter 2.1.2 --- Payoff of Options --- p.6 / Chapter 2.1.3 --- Black-Scholes Option Pricing Model --- p.7 / Chapter 2.1.4 --- Binomial Model --- p.12 / Chapter 2.2 --- Portfolio Theory --- p.15 / Chapter 2.2.1 --- The Markowitz Mean-Variance Model --- p.15 / Chapter 2.2.2 --- Multi-period Mean-Variance Formulation --- p.17 / Chapter 3 --- Multi-Period Options Portfolio Selection Model with Guaran- teed Return --- p.20 / Chapter 3.1 --- Problem Formulation --- p.20 / Chapter 3.2 --- Solution Algorithm Using Dynamic Programming --- p.25 / Chapter 3.3 --- Numerical Example --- p.27 / Chapter 4 --- Mean-Variance Formulation of Options Portfolio --- p.36 / Chapter 4.1 --- The Problem Formulation --- p.36 / Chapter 4.2 --- Solution Algorithm Using Dynamic Programming --- p.39 / Chapter 4.3 --- Numerical Example --- p.41 / Chapter 5 --- Summary --- p.56

He, Huifen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 44-48). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Motivation --- p.1 / Chapter 1.2 --- Literature Review --- p.4 / Chapter 1.2.1 --- Supply Contracts under Price Uncertainty --- p.5 / Chapter 1.2.2 --- Dual Sourcing --- p.6 / Chapter 1.2.3 --- Risk Aversion in Inventory Management --- p.6 / Chapter 1.2.4 --- Hedging Operational Risk Using Financial Instruments --- p.7 / Chapter 1.2.5 --- Financial Literature --- p.9 / Chapter 1.3 --- Organization of the Thesis --- p.10 / Chapter 2 --- A Risk-Neutral Model --- p.12 / Chapter 2.1 --- Framework and Assumptions --- p.12 / Chapter 2.2 --- "Price, Forward and Convenience Yield" --- p.14 / Chapter 2.2.1 --- Stochastic Model of Price --- p.14 / Chapter 2.2.2 --- Marginal Convenience Yield --- p.16 / Chapter 2.3 --- Optimality Equations --- p.17 / Chapter 2.4 --- The Structure of the Optimal Policy --- p.21 / Chapter 2.4.1 --- One-period. Optimal Hedge Decision Rule --- p.21 / Chapter 2.4.2 --- One-period Optimal Orderings Decision Rule --- p.23 / Chapter 2.4.3 --- Optimal Policy --- p.24 / Chapter 3 --- A Risk-Averse Model --- p.28 / Chapter 3.1 --- Risk Aversion Modeling and Utility Function --- p.28 / Chapter 3.2 --- Multi-Period Inventory Modelling --- p.31 / Chapter 3.3 --- Exponential Utility Model --- p.33 / Chapter 3.4 --- Optimal Ordering and Hedging Policy for Multi-Period Problem --- p.37 / Chapter 4 --- Conclusion and Future Research --- p.40 / Bibliography --- p.44 / Chapter A --- Appendix --- p.49 / Chapter A.l --- Notation --- p.49 / Chapter A.2 --- K-Concavity --- p.50

Abstract not available

Thesis (Ph. D.)--University of Hong Kong, 2007. / Title proper from title frame. Also available in printed format.

Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2006. / Includes bibliographical references (leaves 73-75). Also available in electronic version.

Thesis (M.C.A.)--Victoria University of Wellington, 2009. / Includes bibliographical references.

Thesis (Ph. D.)--University of Hong Kong, 2001. / Includes bibliographical references (leaves 192-202).