Partial Identification of Heteroskedastic Structural Vector Autoregressions: Theory and Bayesian Inference Staff working paper 2025-14 Helmut Lütkepohl, Fei Shang, Luis Uzeda, Tomasz Woźniak We consider structural vector autoregressions that are identified through stochastic volatility. Our analysis focuses on whether a particular structural shock can be identified through heteroskedasticity without imposing any sign or exclusion restrictions. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C1, C11, C12, C3, C32, E, E6, E62 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Economic models, Monetary policy, Real economy and forecasting
The Mutable Geography of Firms’ International Trade Staff working paper 2025-11 Lu Han Exporters frequently change their market destinations. This paper introduces a new approach to identifying the drivers of these decisions over time. Analysis of customs data from China and the UK shows most changes are driven by demand rather than supply-related shocks. Content Type(s): Staff research, Staff working papers JEL Code(s): F, F1, F12, F14, L, L1, L11 Research Theme(s): Models and tools, Economic models, Structural challenges, International trade, finance and competitiveness
Low Response Rate from Merchants? Sample and Ask Consumers! An Application of Indirect Sampling Under a Consumer-Merchant Bipartite Network Technical report No. 126 Heng Chen, Joy Wu Under the consumer-merchant bipartite network, we apply the indirect sampling approach to estimate merchant payment acceptance through a consumer payment diary. Content Type(s): Staff research, Technical reports JEL Code(s): C, C8, C80, C83, E, E5 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Money and payments, Retail payments
Estimating Discrete Choice Demand Models with Sparse Market-Product Shocks Staff working paper 2025-10 Zhentong Lu, Kenichi Shimizu We propose a novel approach to estimating consumer demand for differentiated products. We eliminate the need for instrumental variables by assuming demand shocks are sparse. Our empirical applications reveal strong evidence of sparsity in real-world datasets. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C1, C3, D, D1, L, L0, L00 Research Theme(s): Financial markets and funds management, Market structure, Models and tools, Econometric, statistical and computational methods
Canadian Bitcoin Ownership in 2023: Key Takeaways Staff discussion paper 2025-4 Daniela Balutel, Marie-Hélène Felt, Doina Rusu The Bitcoin Omnibus Survey is an important tool for monitoring Canadians’ awareness and ownership of bitcoin and other cryptoassets over time. In this paper, we present data highlights from the 2023 survey. Content Type(s): Staff research, Staff discussion papers JEL Code(s): C, C8, C81, E, E4, O, O5, O51 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Money and payments, Digital assets and fintech
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
Markups, Pass-Through, and Firm Heterogeneity with Sequentially Mixed Search Staff working paper 2025-7 Alex Chernoff, Allen Head, Beverly Lapham Market power and pass-through of cost and demand shocks are studied in a market with free entry of heterogeneous firms and consumer mixed search. Equilibrium prices and markups are driven by variation in the elasticity of demand across firms. Improved conditions for buyers can either raise or lower market power. Content Type(s): Staff research, Staff working papers JEL Code(s): D, D2, D21, D4, D43, E, E3, E31, L, L1, L11 Research Theme(s): Financial markets and funds management, Market functioning, Models and tools, Economic models, Monetary policy, Inflation dynamics and pressures
Quantile VARs and Macroeconomic Risk Forecasting Staff working paper 2025-4 Stéphane Surprenant This paper provides an extensive evaluation of the performance of quantile vector autoregression (QVAR) to forecast macroeconomic risk. Generally, QVAR outperforms standard benchmark models. Moreover, QVAR and QVAR augmented with factors perform equally well. Both are adequate for modeling macroeconomic risks. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C5, C53, C55, E, E3, E37 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Monetary policy, Real economy and forecasting
Differentiable, Filter Free Bayesian Estimation of DSGE Models Using Mixture Density Networks Staff working paper 2025-3 Chris Naubert I develop a method for Bayesian estimation of globally solved, non-linear macroeconomic models. The method uses a mixture density network to approximate the initial state distribution. The mixture density network results in more reliable posterior inference compared with the case when the initial states are set to their steady-state values. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C6, C61, C63, E, E3, E37, E4, E47 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Economic models
CBDC in the Market for Payments at the Point of Sale: Equilibrium Impact and Incumbent Responses Staff working paper 2024-52 Walter Engert, Oleksandr Shcherbakov, André Stenzel We simulate introducing a central bank digital currency (CBDC) and consider consumer adoption, merchant acceptance and usage at the point of sale. Modest adoption frictions significantly inhibit CBDC market penetration along all three dimensions. Incumbent responses to restore pre-CBDC market shares are moderate to small and further reduce the impact of a CBDC. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C5, C51, D, D1, D12, E, E4, E42, L, L1, L14, L5, L52 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Money and payments, Digital assets and fintech, Payment and financial market infrastructures, Retail payments