Time Series Analysis

A.Y. 2023/2024
6
Max ECTS
40
Overall hours
SSD
SECS-P/05
Language
English
Learning objectives
This course introduces to the time series methods and practices generally used in the analysis of economic and financial time series. We will cover both univariate and multivariate models of stationary and non-stationary time series. The aim of the course is twofold: first to develop a comprehensive set of tools and techniques for analysing various forms of univariate and multivariate time series, and second to acquire knowledge of recent changes in the methodology of econometric analysis of time series.
Expected learning outcomes
At the end of the course students will be able to analyse macroeconomic and financial time series and use them in econometric models. Specifically, students will be familiar with univariate statistical techniques generally used to study the dynamics of a time series, like ARMA and ARIMA models, and the dynamics of their conditional variance, like ARCH and GARCH models. They will be also able to deal with linear regression models using stationary and non-stationary time series, as in the case of cointegration. Finally, students will be familiar with recent methodologies concerning multiequational models, like VARs and Structural VARs. They will be able to specify and estimate the unknown parameters of the equations and use them to investigate about the dynamic and causal impact of macroeconomic and financial shocks on the endogenous variables of the model.
Single course

This course can be attended as a single course.

Course syllabus and organization

Single session

Responsible
Lesson period
Third trimester
Course syllabus
Topics will include.
· A recap of linear regression with time-series data
· Seasonal and non-seasonal Autoregressive Moving Average Models
· Unit root modelling and testing.
· Vector Auroregressive models (VAR) and Structural VAR models
· Cointegration
· Generalized Autoregressive Conditional Heteroskedastic (GARCH) models
Prerequisites for admission
There is no formal prerequisite, however this course requires basic knowledge of statistical inference and of matrix algebra. Some previous knowledge of econometrics is also recommended. To revise such topics students can read Chapters 1-4 of the textbook.
Teaching methods
Lectures and tutorials using the Eviews software.
Teaching Resources
· Brooks, Introductory Econometrics for Finance, 4th Edition. Chapters 5-9. Available online via: https://minerva.unimi.it/permalink/39UMI_INST/i9q3jt/alma991017361569006031
· Lecture notes (these DO NOT substitute the textbook).
· Eviews Student Version Lite (details will be provided in due time)
https://www.eviews.com/EViews12/EViews12Univ/evuniv12.html
Assessment methods and Criteria
Written exam.
Only for the first session, students have the opportunity to handle a project paper that complements the written exam. The focus of the paper needs to be an application of one of the approaches discussed during the lectures. After the first session, the chance to handle a paper will no longer be available and the student needs to take a written text.
SECS-P/05 - ECONOMETRICS - University credits: 6
Lessons: 40 hours
Educational website(s)
Professor(s)
Reception:
Tuesday 13-16
MS Teams (please send email for confirmation)
Reception:
Thursday, 11AM to 1PM. Please email me to arrange an appointment
Stanza 4 (Second floor)