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Valuation of stock loans under exponential phase-type Lévy models.

Wong, Tat Wing. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 53-55). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Problem Formulation --- p.5 / Chapter 2.1 --- Phase-type distribution --- p.5 / Chapter 2.1.1 --- A generalization of the exponential distribution --- p.5 / Chapter 2.1.2 --- Properties of the phase-type distribution --- p.6 / Chapter 2.2 --- Phase-type jump diffusion model --- p.8 / Chapter 2.2.1 --- Jump diffusion model --- p.8 / Chapter 2.2.2 --- The stock price model --- p.9 / Chapter 2.3 --- Stock Loans --- p.10 / Chapter 3 --- General Properties of Stock Loans --- p.12 / Chapter 3.1 --- Preliminary results --- p.12 / Chapter 3.2 --- Characterization of the function V(x) --- p.15 / Chapter 4 --- Valuation / Chapter 4.1 --- Hyperexponential jumps --- p.25 / Chapter 4.1.1 --- Solution of the linear system --- p.29 / Chapter 4.1.2 --- Solution of the optimal exercise boundary --- p.30 / Chapter 4.2 --- Phase-type jumps --- p.33 / Chapter 4.3 --- The case for G'(1)≥ 0 --- p.36 / Chapter 5 --- Future Research Direction --- p.38 / Chapter 5.1 --- The fast mean-reverting stochastic volatility model --- p.38 / Chapter 5.2 --- Asymptotic expansion of stock loan --- p.39 / Chapter 5.2.1 --- The zeroth order term --- p.41 / Chapter 5.2.2 --- The first order term --- p.43 / Chapter 6 --- Conclusion --- p.52 / Bibliography --- p.53

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327067
Date January 2011
ContributorsWong, Tat Wing., Chinese University of Hong Kong Graduate School. Division of Risk Management Science.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, v, 55 p. ; 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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