Checking date: 09/06/2022

Course: 2023/2024

Financial Statistics
Master in Finance / Máster Universitario en Finanzas (Plan: 483 - Estudio: 261)

Coordinating teacher: RUIZ ORTEGA, ESTHER

Department assigned to the subject: Statistics Department

Type: Compulsory
ECTS Credits: 3.0 ECTS


Requirements (Subjects that are assumed to be known)
Any degree that allows you to be a student of the Master in Finance
This course is classified in the area of quantitative methods. The student leran about the basic concepts on the analysis of financial time series. Also, basic models to represent and forecast the evolution of these series are described. Instruments useful for theoretical financial models are also considered. The first part of the course deals with basic concepts in the analysis of time series which are basic for the analysis of financial data. In particular, the students learn about the difference between independence and uncorrelatedness, white noise and martingale difference. In the second part of the course, the basic models to represent the evolution of the conditional mean of time series are described. Finally, the last part of the course deals with models to represent the evolution of volatilities which are central to many financial models.
Skills and learning outcomes
Description of contents: programme
1. Introduction: Basic concepts 1.1 Why quantitative tools are important for financial professionals 1.2 Correlation and independence: differences between white noise, strict white noise and Gaussian white noise. 1.3 Describing variables: Unconditional and conditional moments. 1.4 Linear and non-linear models. 1.5 Covariance stationarity and strict stationarity. 2. Univariate linear models 2.1 Transformations to stationarity: random walks. 2.2 Wold theorem: justifying the linearity 2.3 Properties of ARIMA models 2.4 Prediction 3. GARCH models 3.1 Empirical properties of financial time series 3.2 Properties of ARCH(1) models 3.3 Properties of GARCH(1,1) models 3.4 Testing for conditional heterocedasticity 3.5 Estimating parameters and volatilities
Learning activities and methodology
The teacher will present the main theoretical concepts using Power Point slides which are available to the students previous to each lecture. On top of theoretical classes, the students will have weekly classes in the computer room where they have to use the software Eviews. In these computer classes, the students analyse both simulated and real data on financial returns. They will also do two homework with exercises with both theoretical and empirical contents. Finally, there will be an exam of the main issues.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40

Calendar of Continuous assessment

Basic Bibliography
  • González-Rivera. Forecasting for Economics and Business. Pearson. 2013
  • R.S. Tsay. Analysis of Financial Time Series. Wiley. 2002
  • Taylor, S.J.. Modelling Financial Time Series. World Scientific Publishing. 2008
Additional Bibliography
  • Campbell, J.Y, W. Lo and A.C. MacKinlay. The Econometrics of Financial Markets. Princeton University Press, New Jersey. 1997
  • Defusco, R.A., McLeavey D.W., J.E. Pinto and D.E. Runkle. Quantitative Investment Analysis. CFA Institute, John Wiley & Sons, New Jersey. 2004

The course syllabus may change due academic events or other reasons.