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A Monte Carlo Method for pricing American options.

by Lam Wing Shan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaf 41). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Background on Option Pricing --- p.3 / Chapter 2.1 --- Financial options --- p.3 / Chapter 2.1.1 --- Basic terms of options --- p.3 / Chapter 2.1.2 --- Trading strategies --- p.4 / Chapter 2.1.3 --- The Principle of no Arbitrage --- p.5 / Chapter 2.1.4 --- Rational boundaries on Option Prices --- p.5 / Chapter 2.1.5 --- American Options --- p.6 / Chapter 2.1.6 --- Put-Call Parity --- p.7 / Chapter 2.2 --- Black-Scholes equation --- p.8 / Chapter 2.2.1 --- Derivation of Black-Scholes equation --- p.8 / Chapter 2.2.2 --- Solution to the Black-Scholes equation --- p.10 / Chapter 3 --- Review on Monte Carlo Method --- p.15 / Chapter 3.1 --- Monte Carlo Simulation --- p.15 / Chapter 3.2 --- Pricing an option using Monte Carlo Method --- p.18 / Chapter 3.3 --- Antithetic Variates Method --- p.21 / Chapter 4 --- Cell Partition Method --- p.23 / Chapter 4.1 --- An Advantage of the Cell Partition Method --- p.23 / Chapter 4.2 --- The Algorithm --- p.24 / Chapter 5 --- Numerical Results --- p.35 / Chapter 6 --- Conclusion --- p.39 / Bibliography --- p.41

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324310
Date January 2003
ContributorsLam, Wing Shan., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, v, 41 leaves : ill. ; 30 cm.
CoverageUnited States
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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