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Volatility modelling in continuous time

With the introduction of variance swaps, the financial market has experienced an unprecedented trading, investing and hedging in volatilities. These tremendous market activities have led to a parallel systematic development of dynamic volatility modeling. Unlike the stock dynamics, the volatility dynamics are believed to have a meanreverting property. The mean-reverting process consists of two unique features: the equilibrium level and the speed of reversion. The unique mean-reverting feature puts volatilities into an interesing financial class that is worth exploring. The aim of the thesis is to examine the dynamics of volatility and to value volatility derivatives. A primary study is focused on the unification of three areas: variance swap term structures, stock derivatives, and volatility derivatives. It is intended as an attempt to bring together a term structure model, a volatility process and a return process in which they match stylized facts of financial markets and they are consistently reconciled to each other.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:649378
Date January 2012
CreatorsZhao, Bo
PublisherCity University London
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://openaccess.city.ac.uk/12168/

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