Description
This course is a foundational time series course for doctoral students in Economics. We will begin by covering the foundations of univariate linear time series models and will then discuss their estimation and use for forecasting. We will subsequently move to multivariate time series models (Vector Autoregressions) and methods for dealing with cointegration. Along the way, we will also cover models for heteroskedasticity, state space models and the Kalman filter as well as Markov Chain Monte Carlo methods. Extensive use of applications and examples will be made using financial data and the R statistical computing environment. Homework assignments will be designed to apply the methods learned in lecture to actual data - i.e. computing will be an essential component of the assignments.
Programming
We will use the R programming language
to work with data and to solve problems. R is a free software environment used by
academic and professional researchers in statistics. Learning R will be a major
benefit to you in your graduate studies and in your post-graduation career.
Course Materials
There is no required textbook for the course. I will make my lecture notes available on
this website. However, my notes will closely follow the textbook Time Series Analysis by James D. Hamilton. Any serious econometrician will own a copy of this text. An additional excellent time series reference with financial applications is Analysis of Financial Time Series, by Ruey S. Tsay.
Assignments
There will be four assignments, due every second Thursday, starting in the third week of the quarter: 18 April, 2 May, 23 May and 6 June. Late
assignments will not be accepted and extensions will not be granted.
Exams
There will be two exams:
- Miderm: Thursday, 9 May 2019, in class.
- Final: Monday, 10 June 2019, Noon - 3:00 p.m.
Grading
Assignments: 35%; Mid-Term Exam: 30%; Final Exam: 35%. I will curve grades
only at the end of the semester if the distribution is low enough and/or
spread out enough. It is important for me to emphasize that curving will
never hurt your grade - it will only work to your advantage.
Topics
- Financial Time Series
- Univariate Linear Time Series Models
- Forecasting
- Estimation
- GARCH Models
- Vector Autoregressions
- Cointegration
- State-Space Models and the Kalman Filter
- MCMC Methods