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
MSTest: An R-Package for Testing Markov Switching Models Staff working paper 2026-7 Gabriel Rodriguez Rondon, Jean-Marie Dufour We present the R package MSTest, which implements hypothesis testing procedures to determine the number of regimes in Markov switching models. The package provides several testing frameworks, including Monte Carlo likelihood ratio tests, moment-based tests, parameter stability tests, and classical likelihood ratio procedures. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C1, C12, C15, C18, C6, C63, C8, C87 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Economic models, Monetary policy, Real economy and forecasting
Information, Prices and Buyer Entry Staff working paper 2026-4 Mei Dong, Janet Hua Jiang, Ling Sun In markets with costly buyer entry, information transparency about prices draws in buyers, increasing demand-side competition and putting upward pressure on prices. We show that this buyer entry effect may dominate seller competition as emphasized by conventional wisdom and prices and markups may rise with information transparency. Content Type(s): Staff research, Staff working papers JEL Code(s): D, D4, D40, D8, D83, L, L1, L11 Research Theme(s): Models and tools, Economic models
Monetary Policy Under Okun’s Hypothesis Staff working paper 2026-3 Felipe Alves, Giovanni L. Violante The current monetary policy framework of the Fed intends to be more ’inclusive’ by running the economy hot for longer during expansions. Content Type(s): Staff research, Staff working papers JEL Code(s): E, E2, E21, E24, E3, E31, E32, E5, E52, J, J2, J24, J6, J64 Research Theme(s): Models and tools, Economic models, Monetary policy, Inflation dynamics and pressures, Monetary policy framework and transmission
Portfolio Rebalancing Channel and the Effects of Large-Scale Stock and Bond Purchases Staff working paper 2025-38 Sami Alpanda, Serdar Kabaca We quantify the effects of large-scale stock purchases by a central bank and compare these to bond purchases. We find that the central bank’s equity purchases would lower the risk and term premiums on stocks and long-term bonds, respectively, and thereby stimulate economic activity. Content Type(s): Staff research, Staff working papers JEL Code(s): E, E3, E32, E4, E44, E5, E52 Research Theme(s): Models and tools, Economic models, Monetary policy, Monetary policy framework and transmission, Real economy and forecasting
Modelling the Sovereign Debt Strategy: A Practical Primer Staff discussion paper 2025-16 Nicolas Audet, Adam Epp, Jeffrey Gao, Joe Ning We provide a primer on the role of debt modelling in informing the sovereign debt issuance strategy and discuss how specific challenges faced by debt managers can influence model design decisions. These insights are supported by our experiences using the Canadian Debt Strategy Model to guide policy decisions. Content Type(s): Staff research, Staff discussion papers JEL Code(s): G, G1, G11, G17, H, H6, H63, H68 Research Theme(s): Financial markets and funds management, Funds management, Models and tools, Economic models
Transaction Costs, the Value of Convenience, and the Cross-Section of Safe Asset Returns Staff working paper 2025-34 Ragnar Juelsrud, Plamen Nenov, Fabienne Schneider, Olav Syrstad We study the cross-section of equilibrium returns on safe assets using a tractable asset pricing model with a micro-founded demand for liquidity and multiple safe assets with heterogeneous transaction costs. We test the main predictions of our theory using a novel measure of relative (in)convenience yields in the US Treasury market. Content Type(s): Staff research, Staff working papers JEL Code(s): E, E4, E44, G, G1, G12 Research Theme(s): Financial markets and funds management, Market functioning, Financial system, Financial stability and systemic risk, Models and tools, Economic models, Monetary policy, Monetary policy framework and transmission
Uncovering Subjective Models from Survey Expectations Staff working paper 2025-31 Chenyu Hou, Tao Wang This paper shows that survey expectations can be used to uncover how households subjectively think about inflation and unemployment dynamics jointly. The commonly documented "stagflation view", namely the households' tendency to associate inflation with a worse labor market, implies amplified impacts of supply shocks and dampened ones of demand shocks. Content Type(s): Staff research, Staff working papers JEL Code(s): D, D8, D84, E, E2, E21, E3, E30, E32, E7, E71 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Economic models, Monetary policy, Inflation dynamics and pressures, Real economy and forecasting
Non-homothetic Preferences and the Demand Channel of Inflation Staff working paper 2025-30 Stephen Murchison An alternative to the standard CES aggregator, based on non-homothetic household preferences, is proposed. Specifically, the elasticity of substitution between goods declines during periods of strong per-capita consumption and vice versa, giving firms an incentive to adjust their desired markup in response to the state of demand. Empirical evidence favouring a direct role for per-capita consumption demand in inflation determination for Canada is presented. Content Type(s): Staff research, Staff working papers JEL Code(s): E, E2, E27, E5, E52, Q, Q4, Q43, Q5, Q58 Research Theme(s): Models and tools, Economic models, Monetary policy, Inflation dynamics and pressures
Risk Scenarios and Macroeconomic Forecasts Staff working paper 2025-28 Kevin Moran, Dalibor Stevanovic, Stéphane Surprenant We produce forecasts for four risk scenarios to consider their usefulness for monitoring the Canadian economy. We find a high-oil-price scenario benefits the economy, a US recession induces a slowdown, a tight labor market leads to price increases, and a restrictive monetary policy scenario increases the unemployment rate while lowering the inflation rate. Content Type(s): Staff research, Staff working papers JEL Code(s): E, E3, E32, F, F4, F41, F44 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Economic models, Monetary policy, Real economy and forecasting