Checking date: 11/05/2021

Course: 2021/2022

Advanced financial statistics
Study: Master in Finance (261)


Department assigned to the subject: Department of Statistics

Type: Electives
ECTS Credits: 3.0 ECTS


Requirements (Subjects that are assumed to be known)
Financial Statistics
Financial econometrics is the intersection of statistical techniques and finance with the aim to ascertain how financial prices are determined and to test models that try to replicate how financial markets work. The course will cover the tools of financial econometrics and empirical finance with a moderate degree of sophistication, starting by introducing the extensions to the basic generalized autoregressive conditional heteroskedasticity model (GARCH) in terms of statistical properties, estimated parameters and volatilities. Then, we will discuss models of high-frequency financial data and present non parametric estimators of the integrated volatility. Finally, we present alternative models of the interest rate term structure and use the Kalman filter for the estimation of the unobserved components. In the two last weeks of the course there will be a heavy emphasis on applications.
Skills and learning outcomes
Description of contents: programme
1. Extensions of volatility models 1.1. GARCH models with leverage effect 1.2. Statistical properties of the new models 1.3. Estimating parameters and volatilities 1.4. Stochastic volatility models and its statistical properties 1.5. Estimation methods and some examples 2. Multivariate volatility models 2.1. Multivariate GARCH models 2.2. Multivariate stochastic volatility models 2.3. Estimation methods and some examples 3. Cases with real examples
Learning activities and methodology
Students will work with Excel and Matlab. Every class, the Professor will present the main theoretical concepts using PDF presentations. After 2hours of theory, the students solve exercises using matlab and excel for consolidating the concepts learnt before. The exercises are solved individually with the help of the Professor.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40
Calendar of Continuous assessment
Basic Bibliography
  • Ruey S. Tsay. Analysis of Financial Time Series. Wiley. 2010
  • Taylor, S.. Asset price dynamics, volatility and prediction. Princeton University Press. 2005
Additional Bibliography
  • Aggoun L. and Elliot R. . Measure theory and filtering, introduction with applications. Cambridge University Press. 2004
  • Campbell, J. Y., Lo, A. W., and MacKinlay, A. C.. The Econometrics of Financial Markets. Princeton University Press, New Jersey. 1997
  • Dacarogna, M. M., Gencay, R., Muller, U. A., Olsen, R. B., and Pictet, O. V.. An Introduction to High-Frequency Finance. Academic Press. 2001
  • Dacarogna, M. M., Gen¿cay, R., M¿uller, U. A., Olsen, R. B., and Pictet, O. V.. An Introduction to High-Frequency Finance. Academic Press. 2001
  • Harvey A.C.. Forecasting, structural time series models and the Kalman filter. Cambridge University Press. 1989
  • James, J. and N. Webber . Interest rate Modelling. John Wiley & Sons. 2002
  • Silvennoinen, A. and Teräsvirta, T. Multivariate GARCH models. Handbook of Financial Time Series, New York: Springer.. 2008

The course syllabus and the academic weekly planning may change due academic events or other reasons.

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