The Mathematical Institute, University of Oxford, Eprints Archive

Investigation of Portfolio Choice that Tracks a Continuously Moving Target

Chatzimichalis, Konstantinos (2008) Investigation of Portfolio Choice that Tracks a Continuously Moving Target. Masters thesis, University of Oxford.

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Abstract

We investigate the problem of tracking a moving target, specifically a given continuously compounded, deterministic growth rate by using linear quadratic control theory. We first present some preliminaries and then derive and solve the corresponding Riccati equations for our problem. We then implement our findings in MATLAB by using one stock from the FTSE100 and a risk-less
asset and analyze the results. Furthermore, we focus on situations when the performance of our tracking is not the expected and highlight when this can happen and what the risks involved are. We also present situations when we would need to borrow or short sell, like in the case of aggressively tracking a target. We then briefly present the extension to multi asset portfolios. Finally, we discuss the case of tracking a market index.

Item Type:Thesis (Masters)
Subjects:H - N > Mathematics education
Research Groups:Mathematical and Computational Finance Group
ID Code:701
Deposited By:Laura Auger
Deposited On:02 Jul 2008
Last Modified:20 Jul 2009 14:23

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