Course Description

Macroeconomic and Financial Time Series Modeling: Inference and Bootstrap Methods

Instructor: Giuseppe Cavaliere, Professor of Econometrics, University of Bologna and Distinguished Research Professor of Economics, University of Exeter Business School.
Teaching Assistant (for the Computer Labs): Edoardo Zanelli, PhD Candidate, Department of Economics, University of Bologna.

Course aims and overview

The aim of this course is to provide an up-to-date overview of bootstrap methods for statistical inference, with a specific focus on its application to time series models for economic and financial data. Particular attention will be given to estimation and inference for univariate and multivariate models, both for stationary and non-stationary time series.

This course will introduce students to the theoretical properties of modern bootstrap algorithms as well as guide them in the practical selection of the appropriate bootstrap methodology for the problem of interest. Applications will include macroeconomic models with structural breaks, financial (high-frequency data) and stochastic volatility/GARCH models. At the end of the course, students will possess the tools to assess validity of the bootstrap through theoretical arguments, as well as to construct numerical simulations to show the finite-sample performance of the estimators and tests of interest.

Li Yijie , ASSEE 2017

The whole program reaches an excellent balance!

I learnt a lot about duration analysis, including both theories and how to do empirical analysis with it. The lab sessions are very helpful in improving my understandings of the contents of the lectures. The course is great, and the dinners and excursions are also great.


This course is designed for students interested in the recent advances in estimation and inference for Time Series models. Students should have a preliminary background in econometrics and probability theory. While any prior knowledge of time series econometrics and bootstrap methods can be helpful, it is not necessary.

Laboratory sessions will be conducted using MATLAB and will cover: 1) setting up Monte Carlo simulations to assess the performance of the considered estimators/tests; 2) empirical analysis using real-world data. Previous knowledge of the software is not required, as preliminary concepts of programming will be discussed. All codes will be shared with students during the course.

Lecture Outline (tentative)

  • Day 1
    • Lecture 1: Introduction to the bootstrap,
    • Lab 1: Introduction to coding on Matlab. Simulations of simple processes.
  • Day 2
    • Lecture 2a: Time series models for stationary data.
    • Lecture 2b: The bootstrap for stationary autoregressive models.
    • Lab 2: Evaluation of the performance of estimators/tests through Monte Carlo. Simulation of stationary autoregressions. Applications to fiscal data: inference on fiscal multipliers.
  • Day 3
    • Lecture 3a. Non-stationarity in time series models: unit roots and cointegration.
    • Lecture 3b: Bootstrapping non-stationarity time series models.
  • Day 4
    • Lecture 4a: Models for volatility and conditional variances.
    • Lecture 4b: Bootstrapping volatility models.
    • Lab 3: Non-stationarity in inflation data and instabilities in the Phillips curve. Monte Carlo simulations of non-stationary autoregressions.
  • Day 5
    • Lecture 5: Non-standard applications of the bootstrap.
    • Lab 4: Monte Carlo Analysis of non-standard bootstrap methods. Applications to financial data.


Morning Lectures

Summer school lectures start on Monday until Friday. The lectures are divided into two morning sessions and they take place in Room A2-3 on the ground floor of the Economics Building as follows:

  • Morning Session 1: 09:00-11:00
  • Morning Session 2: 11:30-13:30

Computer Practicums

Computer practicums will take place in the afternoon from Monday to Friday (except Wednesday afternoon) in the Computer Lab which is located next to the Economics Building on the way to Student's Halls and University Campus Restaurant:

  • Afternoon Lab Session: 15:30-17:30

Breakfast, Lunches and Coffee Breaks

Breakfast and lunches will take place in the VIP Room of the University Campus Restaurant with the following schedule:

  • Breakfast: 08:00-09:00 from Monday to Friday
  • Lunch: 14:00-15:00 from Monday to Friday

Two coffee breaks will be available outside the Economics Building between the two morning lectures at 11:00-11:30 and right before the computer practicum at 15:00-15:30 every day from Monday to Friday.

Social Programme

Reflecting ASSEE enterprising approach, alongside the teaching and learning our Summer School also offers a unique programme of social, cultural and evening events. The programme offered is included in the tuition fee and allows students to socialise, relax and have fun through a range of activities. Our programme includes:

  • A  Welcome Reception on Monday evening in a lovely local restaurant.
  • An excursion to Plakias on Wednesday afternoon for swimming and relaxation.
  • Farewel Dinner on Friday evening in a traditional Cretan taverna
  • An excursion to Eleftherna Archaeological Museum (one of the most important Greek museums) and to the ancient city of Eleftherna on Saturday morning.

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