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In the second topic the same framework is expanded to include a hedging control that can be used by the market maker to manage the inventory.
In particular, the market impact is assumed to be of the Almgren and Chriss type.Our 360 degree virtual tour allows you to explore the Colchester Campus from the comfort of your home.Check out our accommodation options, facilities and social spaces.Home to over 13,000 students from more than 130 countries, our Colchester Campus is the largest of our three sites, making us one of the most internationally diverse campuses on the planet - we like to think of ourselves as the world in one place.The Campus is set within 200 acres of beautiful parkland, located two miles from the historic town centre of Colchester – England's oldest recorded town.Explicit solutions are derived in the special case where the asset price follows a Brownian motion with drift.The third topic is about Merton’s portfolio optimisation problem with the additional feature that the risky asset price is modelled in a way that exhibits support and resistance levels.Our staff are currently researching the development of real-time trading platforms, new financial econometric models for real-time data, the use of artificially intelligent agents in the study of risk and market-based institutions, operational aspects of financial markets, financial engineering, portfolio and risk management.More broadly, our research covers a range of topics, from materials science and semiconductor device physics, to the theory of computation and the philosophy of computer science, with most of our research groups based around laboratories offering world-class facilities.This thesis considers three topics in stochastic control theory.Each of these topics is motivated by an application in finance.