C - Mathematical and Quantitative Methods

• Survey of Indigenous Firms: A Snapshot of Wages, Prices and Financing in the Indigenous Business Sector in Canada

  Staff Discussion Paper 2024-4 Calista Cheung, James Fudurich, Janki Shah, Farrukh Suvankulov

  What sources of financing do Indigenous-owned businesses in Canada use, and what are their expectations about prices, wages and inflation? We find Indigenous-owned firms are significantly less reliant on financial institutions as sources of financing compared with non-Indigenous firms. We also find Indigenous-owned firms have higher inflation expectations and weaker wage-growth expectations.

  Content Type(s): Staff research, Staff discussion papers Topic(s): Firm dynamics JEL Code(s): C, C8, C83, D, D0, G, G3, G38, J, J1, J15

• Digital Payments in Firm Networks: Theory of Adoption and Quantum Algorithm

  Staff Working Paper 2024-17 Sofia Priazhkina, Samuel Palmer, Pablo Martín-Ramiro, Román Orús, Samuel Mugel, Vladimir Skavysh

  We build a network formation game of firms with trade flows to study the adoption and usage of a new digital currency as an alternative to correspondent banking.

  Content Type(s): Staff research, Staff working papers Topic(s): Central bank research, Digital currencies and fintech, Digitalization, Economic models, Financial institutions, Payment clearing and settlement systems, Sectoral balance sheet JEL Code(s): C, C6, C7, C71, D, D4, D8, D85, G, L, L2, L22

• Finding a Needle in a Haystack: A Machine Learning Framework for Anomaly Detection in Payment Systems

  Staff Working Paper 2024-15 Ajit Desai, Anneke Kosse, Jacob Sharples

  Our layered machine learning framework can enhance real-time transaction monitoring in high-value payment systems, which are a central piece of a country’s financial infrastructure. When tested on data from Canadian payment systems, it demonstrated potential for accurately identifying anomalous transactions. This framework could help improve cyber and operational resilience of payment systems.

  Content Type(s): Staff research, Staff working papers Topic(s): Digital currencies and fintech, Financial institutions, Financial services, Financial system regulation and policies, Payment clearing and settlement systems JEL Code(s): C, C4, C45, C5, C55, D, D8, D83, E, E4, E42

• 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 Topic(s): Business fluctuations and cycles, Credibility, Inflation and prices, Monetary policy JEL Code(s): C, C2, C22, E, E0, E00, E4, E47, E7

• Parallel Tempering for DSGE Estimation

  Staff Working Paper 2024-13 Joshua Brault

  I develop a population-based Markov chain Monte Carlo algorithm known as parallel tempering to estimate dynamic stochastic general equilibrium models. Parallel tempering approximates the posterior distribution of interest using a family of Markov chains with tempered posteriors.

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods, Economic models JEL Code(s): C, C1, C11, C15, E, E1, E10

• Forecasting Recessions in Canada: An Autoregressive Probit Model Approach

  Staff Working Paper 2024-10 Antoine Poulin-Moore, Kerem Tuzcuoglu

  We forecast recessions in Canada using an autoregressive (AR) probit model. The results highlight the short-term predictive power of the US economic activity and suggest that financial indicators are reliable predictors of Canadian recessions. In addition, the suggested model meaningfully improves the ability to forecast Canadian recessions, relative to a variety of probit models proposed in the Canadian literature.

  Content Type(s): Staff research, Staff working papers Topic(s): Business fluctuations and cycles, Econometric and statistical methods JEL Code(s): C, C5, C51, C53, E, E3, E32

• COVID-19 Hasn’t Killed Merchant Acceptance of Cash: Results from the 2023 Merchant Acceptance Survey

  Staff Discussion Paper 2024-2 Angelika Welte, Katrina Talavera, Liang Wang, Joy Wu

  The Bank of Canada’s Merchant Acceptance Survey finds that 96% of small and medium-sized businesses in Canada accepted cash in 2023. Acceptance of debit and credit cards has increased to 89%, and acceptance of digital payments has also increased. However, Canada is far from being a cashless society.

  Content Type(s): Staff research, Staff discussion papers Topic(s): Bank notes, Digital currencies and fintech, Econometric and statistical methods JEL Code(s): C, C8, D, D2, D22, E, E4, L, L2

• 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 Topic(s): Climate change, Productivity JEL Code(s): C, C2, C21, D, D2, D24, Q, Q5, Q53
• January 15, 2024

  Mapping out the implications of climate transition risk for the financial system

  Gabriel Bruneau, Javier Ojea Ferreiro, Andrew Plummer, Marie-Christine Tremblay, Aidan Witts

  We develop a new analytical framework to understand the system-wide implications of climate transition risk. When applying this framework to Canadian data, we find that interconnections within the financial sector could amplify the direct effects of climate transition risk on financial entities.

  Content Type(s): Publications, Financial System Hub articles Topic(s): Climate change, Economic models, Financial institutions, Financial markets, Financial stability JEL Code(s): C, C6, C63, G, G0, G01, G1, G10, G2, G20, Q, Q5, Q54
• January 15, 2024

  Flood risk and residential lending

  Craig Johnston, Geneviève Vallée, Hossein Hosseini Jebeli, Miguel Molico, Marie-Christine Tremblay, Aidan Witts

  We present key findings of a recent study that evaluates the credit risk that flooding poses to the residential lending activities of Canadian banks and credit unions. Results show that such risk currently appears modest but could become larger with climate change.

  Content Type(s): Publications, Financial System Hub articles Topic(s): Central bank research, Climate change, Credit risk management, Econometric and statistical methods, Financial institutions, Financial stability JEL Code(s): C, C8, C81, G, G2, G21, Q, Q5, Q54