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
Simulating the Resilience of the Canadian Banking Sector Under Stress: An Update of the Bank of Canada’s Top-Down Solvency Assessment Tool Technical report No. 128 Omar Abdelrahman, David Xiao Chen, Cameron MacDonald, Adi Mordel, Guillaume Ouellet Leblanc We present a technical description of the Top-Down Solvency Assessment (TDSA) tool. As a solvency stress-testing tool, TDSA is used to assess the banking sector’s capital resilience to hypothetical future risk scenarios. Content Type(s): Staff research, Technical reports JEL Code(s): C, C2, C22, C5, C52, C53, G, G1, G17, G2, G21, G28 Research Theme(s): Financial system, Financial institutions and intermediation, Financial stability and systemic risk, Models and tools, Economic models
Estimating the inflation risk premium Staff analytical note 2025-9 Bruno Feunou, Gitanjali Kumar Is there a risk of de-anchoring of inflation expectations in the near term? We estimate the inflation risk premium using traditional asset pricing models to answer this question. The risk of de-anchoring is elevated compared with the period before the COVID-19 pandemic and is higher in the United States than in Canada. Content Type(s): Staff research, Staff analytical notes JEL Code(s): C, C2, C22, C5, C58, G, G1, G12 Research Theme(s): Financial markets and funds management, Market functioning, Models and tools, Econometric, statistical and computational methods, Economic models, Monetary policy, Inflation dynamics and pressures
Estimating the impacts on GDP of natural disasters in Canada Staff analytical note 2025-5 Tatjana Dahlhaus, Thibaut Duprey, Craig Johnston Extreme weather events contribute to increased volatility in both economic activity and prices, interfering with the assessment of the true underlying trends of the economy. With this in mind, we conduct a timely assessment of the impact of natural disasters on Canadian gross domestic product (GDP). Content Type(s): Staff research, Staff analytical notes JEL Code(s): B, B2, B23, C, C1, C13, C2, C23, E, E1, E17, E3, E37, E6, E62, H, H6 Research Theme(s): Monetary policy, Real economy and forecasting, Structural challenges, Climate change
Endogenous Credibility and Wage-Price Spirals Staff working paper 2024-14 Olena Kostyshyna, Tolga Özden, Yang Zhang We quantitively assess the risks of a wage-price spiral occurring in Canada over history. We find the risk of a wage-price spiral increases when the inflation expectations become unanchored and the credibility of central banks declines. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C2, C22, E, E0, E00, E4, E47, E7 Research Theme(s): Models and tools, Economic models, Monetary policy, Inflation dynamics and pressures, Monetary policy framework and transmission
Regulation, Emissions and Productivity: Evidence from China’s Eleventh Five-Year Plan Staff working paper 2024-7 Brantly Callaway, Tong Li, Joel Rodrigue, Yuya Sasaki, Yong Tan We study the degree to which China’s 11th Five-Year Plan softens trade-offs between emissions and output. Our model suggests efficient regulation could have further increased aggregate productivity by 3.5% and output by 4.7% without any increase in aggregate emissions. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C2, C21, D, D2, D24, Q, Q5, Q53 Research Theme(s): Monetary policy, Real economy and forecasting, Structural challenges, Climate change, Digitalization and productivity
Is Climate Transition Risk Priced into Corporate Credit Risk? Evidence from Credit Default Swaps Staff working paper 2023-38 Andrea Ugolini, Juan C. Reboredo, Javier Ojea Ferreiro We study whether the credit derivatives of firms reflect the risk from climate transition. We find that climate transition risk has asymmetric and significant economic impacts on the credit risk of more vulnerable firms, and negligible effects on other firms. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C2, C24, G, G1, G12, G3, G32, Q, Q5, Q54 Research Theme(s): Financial system, Financial stability and systemic risk, Household and business credit, Structural challenges, Climate change
We Didn’t Start the Fire: Effects of a Natural Disaster on Consumers’ Financial Distress Staff working paper 2023-15 Anson T. Y. Ho, Kim Huynh, David T. Jacho-Chávez, Geneviève Vallée We use detailed consumer credit data to investigate the impact of the 2016 Fort McMurray wildfire, the costliest wildfire disaster in Canadian history, on consumers’ financial stress. We focus on the arrears of insured mortgages because of their important implications for financial institutions and insurers’ business risk and relevant management practices. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C2, C21, D, D1, D12, G, G2, G21, Q, Q5, Q54 Research Theme(s): Financial system, Financial stability and systemic risk, Household and business credit, Structural challenges, Climate change
Climate Variability and International Trade Staff working paper 2023-8 Geoffrey R. Dunbar, Walter Steingress, Ben Tomlin This paper quantifies the impact of hurricanes on seaborne international trade to the United States. Matching the timing of hurricane–trade route intersections with monthly U.S. port-level trade data, we isolate the unanticipated effects of a hurricane hitting a trade route using two separate identification schemes: an event study and a local projection. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C2, C22, C5, F, F1, F14, F18, Q, Q5, Q54 Research Theme(s): Structural challenges, Climate change, International trade, finance and competitiveness
Macroeconomic Disasters and Consumption Smoothing: International Evidence from Historical Data Staff working paper 2023-4 Lorenzo Pozzi, Barbara Sadaba Does consumption smoothing fundamentally decrease during macroeconomic disasters? This paper uses a large historical dataset (1870–2016) for 16 industrial economies to show that during macroeconomic disasters (e.g., wars, pandemics, depressions) aggregate consumption and income are significantly less decoupled than during normal times. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C2, C23, E, E2, E21 Research Theme(s): Financial system, Household and business credit, Models and tools, Econometric, statistical and computational methods, Monetary policy, Real economy and forecasting