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Theoretical and numerical study on continuous-time mean-variance optimal strategies. / Theoretical & numerical study on continuous-time mean-variance optimal strategies

Li Yan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 87-88). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Literature Review --- p.8 / Chapter 2.1 --- Markowitz´ةs Single-Period Mean-Variance Model --- p.9 / Chapter 2.2 --- Discrete-Time Mean-Variance Problem --- p.10 / Chapter 2.2.1 --- Optimal Buy-and-Hold Policy --- p.11 / Chapter 2.2.2 --- Optimal Rolling Markowitz Policy --- p.12 / Chapter 2.2.3 --- Multi-Period Mean-Variance Optimal Policy --- p.12 / Chapter 2.3 --- Continuous-Time Market --- p.13 / Chapter 2.3.1 --- Optimal Unconstrained Policy --- p.15 / Chapter 2.3.2 --- Bankruptcy Prohibited Optimal Policy --- p.16 / Chapter 2.3.3 --- No-Shorting Optimal Policy --- p.17 / Chapter 2.4 --- Continuously Rebalancing Optimal Policy --- p.18 / Chapter 3 --- Discretized Continuous-Time Optimal Policies --- p.20 / Chapter 3.1 --- Problem Setup --- p.21 / Chapter 3.2 --- Unconstrained Problem --- p.25 / Chapter 3.3 --- Problem with No-shorting Constraint --- p.31 / Chapter 3.4 --- Problem with No-Bankruptcy Constraint --- p.34 / Chapter 3.4.1 --- Quasi No-Bankruptcy Problem --- p.36 / Chapter 3.5 --- Stability of the Simulation --- p.38 / Chapter 3.6 --- Concluding Remarks --- p.41 / Chapter 4 --- Performance of Continuous-Time M-V Optimal Policies --- p.43 / Chapter 4.1 --- Measures of the Performance by Probabilities --- p.45 / Chapter 4.2 --- Performance of the Optimal Mean-Variance Portfolio --- p.51 / Chapter 4.2.1 --- Target-Hitting Probability --- p.51 / Chapter 4.2.2 --- Cut-Off Probability --- p.53 / Chapter 4.2.3 --- Target-Hitting-before-Cut-Off Probability --- p.58 / Chapter 4.3 --- Numerical Evaluations of Probabilities for Discrete-Time Market --- p.63 / Chapter 4.3.1 --- Simulation on Target-Hitting Probability --- p.64 / Chapter 4.3.2 --- Simulation on Zero-Hitting Probability --- p.66 / Chapter 4.3.3 --- Simulation on Target-Hitting-before-Bankruptcy Probability --- p.67 / Chapter 4.4 --- Policy Comparison --- p.68 / Chapter 4.4.1 --- Profile of the Probabilities --- p.70 / Chapter 4.4.2 --- Impact of z on the Probabilities --- p.72 / Chapter 4.5 --- Concluding Remarks --- p.74 / Chapter 5 --- Empirical Analysis --- p.75 / Chapter 5.1 --- Experiment Description and Parameter Estimation --- p.76 / Chapter 5.1.1 --- Introduction of the Data --- p.76 / Chapter 5.1.2 --- Experiment Description --- p.77 / Chapter 5.1.3 --- Parameter Estimation --- p.79 / Chapter 5.2 --- Empirical Results and Analysis --- p.80 / Chapter 5.2.1 --- Performance Indicator --- p.80 / Chapter 5.2.2 --- Experimental Results and Analysis --- p.81 / Chapter 5.3 --- Concluding Remarks --- p.83 / Chapter 6 --- Summary --- p.84 / Bibliography --- p.87

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325650
Date January 2006
ContributorsLi, Yan., Chinese University of Hong Kong Graduate School. Division of Systems Engineering and Engineering Management.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, ix, 88 leaves ; 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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