Estimation and Inference for Stochastic Volatility Models with Heavy-Tailed Distributions Staff working paper 2026-8 Gabriel Rodriguez Rondon, Jean-Marie Dufour, Md. Nazmul Ahsan Statistical inference--both estimation and testing--for stochastic volatility (SV) models is known to be challenging and computationally demanding. We propose simple and efficient estimators for SV models with conditionally heavy-tailed error distributions, particularly the Student’s t and Generalized Exponential Distributions (GED). The estimators rely on a small set of moment conditions derived from ARMA-type representations of SV models, with an option to apply “winsorization” to improve stability and finite-sample performance. Except for the degrees of-freedom parameter, closed-form expressions are available for all other parameters, extending Ahsan and Dufour (2019, 2021), thus eliminating the need for numerical optimization or initial values. We derive the estimators’ asymptotic distribution and show that, due to their analytical tractability, they support reliable, and even exact, simulation-based inference via Monte Carlo or bootstrap methods. We assess their performance through extensive simulations and demonstrate their practical relevance in financial return data, which strongly reject the normality assumption in favor of heavy-tailed models. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C1, C12, C13, C15, C2, C22, C5, C51, C53, C58 Research Theme(s): Financial markets and funds management, International markets and currencies, Models and tools, Econometric, statistical and computational methods, Economic models
December 15, 2021 Our monetary policy framework: Continuity, clarity and commitment Remarks (delivered virtually) Tiff Macklem Empire Club of Canada Toronto, Ontario Governor Tiff Macklem discusses the Bank of Canada’s renewed monetary policy framework. He reviews Canada’s experience with flexible inflation targeting and explains why the Bank and the Government of Canada agreed to renew the 2 percent inflation target. Content Type(s): Press, Speeches and appearances, Remarks Subject(s): Financial system, Financial stability, Monetary policy, Economy/Economic growth, Inflation targeting framework
June 26, 2026 Financial stability indicators Get quarterly data for the indicators we use to track the evolution of the financial stability of the Canadian economy.
December 6, 2007 More Than Money: Architecture and Art at the Bank of Canada This volume will take you on a tour of the head office complex, highlighting interesting features of architecture, interior design, and decoration, as well as elements of restoration and preservation. It also features pieces from the Bank's art collection. Soft cover, 128 pages (2007). Content Type(s): Publications, Books and monographs, Souvenir books
November 20, 2007 Managing Risks to Financial System Stability Remarks Pierre Duguay CFA Québec Québec, Québec The recent dislocations in credit markets have brought these issues into sharp focus. Among other things, the market turbulence has highlighted the critical role that confidence and liquidity play in financial markets. Content Type(s): Press, Speeches and appearances, Remarks
August 13, 1998 Labour force participation in Canada: Trends and shifts Bank of Canada Review - Summer 1998 Irene Ip A key determinant of the potential growth of an economy is the rate at which the labour force increases, which depends both on population growth and on changes in the participation rate. Cyclical factors related to the economic environment can play a significant role in affecting the participation rate, as can structural factors and demographic trends. From the mid-1970s to the end of the 1980s, the participation rate rose almost without interruption to a record high of 67.5 per cent. In contrast, between 1990 and 1995, it declined sharply and has been relatively steady at around 65 per cent since 1995. In this article, the author analyzes the participation rate of age and gender groupings in order to better understand the factors leading to these developments and their implications for future movements in the aggregate rate. While cyclical factors contributed to the decline in the participation rate in the 1990s, structural factors (such as an increase in school attendance rates and the increasing use of computer technology) and demographic trends (the aging of the population) have had a substantial impact. The conclusion reached is that, while some recovery is to be expected, the aggregate participation rate is unlikely to return to its 1989 peak over the next decade or so. Content Type(s): Publications, Bank of Canada Review articles
The Governor’s Challenge: A Decade of Success Staff analytical paper 2026-9 James Chapman, Stéphanie Houle, Lawrence L. Schembri The Governor’s Challenge (GC) by the Bank of Canada marked its tenth year as a successful outreach and education initiative, designed to strengthen public understanding of macroeconomics and monetary policy. Content Type(s): Staff research, Staff analytical paper JEL Code(s): E, E5
November 10, 2008 The Quest for Confidence: 400 Years of Money – from La Nouvelle France to Canada Today Remarks Pierre Duguay students and faculty of Laval University Québec, Québec As we celebrate the 400th anniversary of the founding of Quebec, I thought it would be fitting for me, as a central banker, to take a look at how money has evolved over part of the past four centuries. Content Type(s): Press, Speeches and appearances, Remarks
May 17, 2012 Conference Summary: New Developments in Payments and Settlement Bank of Canada Review - Spring 2012 Ben Fung, Miguel Molico The Bank of Canada’s annual conference, held in November 2011, brought together leading researchers from universities, central banks and other institutions from around the world. Divided into four sessions plus two keynote addresses, the conference covered such topics as the use of cash and other means of payment in retail transactions, large-value payments systems, and […] Content Type(s): Publications, Bank of Canada Review articles JEL Code(s): E, E4, E42, G, G2, G28, L, L8, L81
November 27, 1997 Final report on wartime gold transactions released Media Relations The Bank of Canada today released a report by Professor Duncan McDowall of Carleton University entitled Due Diligence: A report on the Bank of Canada's handling of foreign gold during World War II. Content Type(s): Press, Press releases