SIdE Postgraduate Courses

August, 29 - September, 2, 2022, Venice, Italy

Summer School on Bayesian Multivariate Models and Forecasting in Economics and Finance

Coordinator: Gaetano Carmeci, DEAMS, Trieste University. E-mail: gaetano.carmeci@deams.units.it

Instructors: Carlos Montes (European Central Bank), Roberto Casarin (University Ca' Foscari of Venice), Matteo Ciccarelli, European Central Bank, Francesco Ravazzolo (University of Bozen/Bolzano)

The summer school is organized in collaboration with the Venice Center for Risk Analytics for Public Policies (VERA) and the Italian Society of Econometrics (SIdE).

The aim of the school is to provide a review of the state of the art and of the recent advances on multivariate Bayesian models, and on their application to structural analysis and forecasting. Linear and nonlinear modelling techniques will be discussed and both parametric and nonparametrics inference will be introduced. The empirical applications will regard economics and finance.

Information

Program and Syllabus: Link to file .pdf

Timetable: Link to file.xlsx

Softwares: Prior the beginning of the course you should install and familiarize yourself with MATLAB.

Venue: Room 7, Building C2, Department of Economics, San Giobbe Campus, San Giobbe, Cannaregio 873, 30121 Venice.

Information: Getting to San Giobbe, Other Info.

Zoom: Link to SIdE Zoom Classes. Instructions on how to connect to the webinars via Zoom and rules are available at this link. Note that in order to participate in the webinars you don’t need to download or buy Zoom. It will be enough to click on the link and follow the instructions on the screen. Please be reminded that recording lectures is not permitted. Access will be denied to non-registered participants.

Office Hours: Scheduled every day between 14.00 and 15.00. To attend office hours use a private room "Office Hour Room" in the main Zoom session.

Useful Links

BEAR Toolbox (A comprehensive VAR toolbox. )

Econometrics Links Page (Resources and libraries for different softwares)

Chris Sims's Home Page (Codes and libraries on Bayesian inference from his book)

Gary Koop's Home Page (Matlab codes and references on Stochastic Search, Bayesian VAR,...)

Dimitris Korobilis' Home Page (Matlab and references)

Fabio Canova's Home Page (Matlab and empirical macro)

LeSage's Home Page (Matlab codes and libraries on Bayesian inference (VAR, Panel, Logit,...), see also: Spatial Econometrics)

Tobias's Home Page (Matlab codes and libraries on Bayesian inference from his book)

Bayesian Music

Lecture Notes

1 Review of Bayesian estimation (link to pdf and code)

Linear Regression Model (LRM) with spherical and non-spherical errors, LRM with Time varying parameters and stochastic volatility.

2 Multivariate models (link to pdf and code)

VAR and panel VAR models, VAR models with skewed errors.

3 Bayesian Markov-switching VAR models (link to pdf and code)

Markov-switching (MS) models and Hamilton Filter, MS-VAR and MCMC methods, Multi-country panel MS-VAR, VAR with MS Stochastic Correlation, Application to macroeconomics (e.g. business cycle) and finance (exchange rates and CDS on sovereign bonds).

Notes on HF (link)

4 Structural Graphical VAR Models (link to pdf and code)

Bayesian Networks and MCMC methods for Graphical Models, Graphical VAR models, Applications to macroeconomics, financial contagion and oil market.

5 Bayesian Nonparametric Models (link to pdf and code)

Bayesian Nonparametric, Dirichlet and Pitman-Yor process priors, Infinite mixture representation, Dependent Pitman-Yor process priors, Slice sampling and MCMC sampling for nonparametric models, Nonparametric VAR models, Application to forecasting: density combination models, Applications to macroeconomics (business cycle) and finance (stock markets).

6 Forecasting with Bayesian multivariate models (link to pdf and code)

Computing point and density forecasts from Monte Carlo draws, Evaluation of forecasts, Applications to macroeconomics (GDP growth, inflation, interest rate and unemployment) and finance (electricity prices and cryptocurrencies).

7 Density forecast combinations (link to pdf, link to code)

Bayesian model averaging, time-varying combination, density forecast combinations, Combinations of large data sets, Parallel computation, Applications to macroeconomics and finance .

Disclaimer

Many routines and functions used in the various parts of the course rely on material distributed by several scholars on their web pages or have been adapted from codes associated with Bayesian books or courses. In particular, some MATLAB functions come from LeSage's Econometrics Toolbox (see LeSage, Applied econometrics using MATLAB, available at http://www.spatial-econometrics.com). Some routines for VAR and hierarchical models are adapted from Koop (Bayesian Econometrics, Wiley, 2003, available at http://www.wiley.com/legacy/wileychi/koopbayesian/) and Koop and Korobilis (2010, material available at https://sites.google.com/site/garykoop/). Main codes usually acknowledge the sources.