==== Empirical Correlation Matrices ==== \\ **Description:**\\ The estimation of correlations in a basket composed of 50 or more stocks is a major issue in finance, because of the high number of correlation coefficients (more than 1000) that need to be evaluated and the relatively small size of available time series. The idea of the project is to study various models that deal with this issue (among which the random matrix approach proposed in [1]), and to compare the performance of related investment strategies.\\ \\ **Prerequisites:**\\ The student should be at ease with probability. Prior knowledge of stochastic calculus is a plus.\\ \\ **References:**\\ [1] M. Potters, J.-P. Bouchaud and L. Laloux, "Financial Applications of Random Matrix Theory: Old Laces and New Pieces", arXiv:physics/0507111\\ \\ **Supervisor:**\\ Olivier Lévêque (LTHI) * Email: olivier.leveque#epfl.ch * Office: INR-132 * tel: 38112\\ \\ [[en:projects:masterthesis:mtp|back to master projects]]