C - Mathematical and Quantitative Methods
-
-
Decision Synthesis in Monetary Policy
We use Bayesian predictive decision synthesis to formalize monetary policy decision-making. We develop a case-study of monetary policy decision-making of an inflation-targeting central bank using multiple models in a manner that considers decision goals, expectations and outcomes. -
Untapped Potential: Mobile Device Ownership and Mobile Payments in Canada
We present a two-stage model of mobile phone and mobile payment usage that controls for selectivity. This reveals unobserved factors that work against having a mobile phone and toward mobile paying. Therefore, people who are unable to acquire or choose not to own a mobile device might have unmet payment needs. -
Deriving Longer-Term Inflation Expectations and Inflation Risk Premium Measures for Canada
We present two models for long-term inflation expectations and inflation risk premiums for Canada. -
Non-Parametric Identification and Testing of Quantal Response Equilibrium
We show that the utility function and the error distribution are non-parametrically over-identified under Quantal Response Equilibrium (QRE). This leads to a simple test for QRE. We illustrate our method in a Monte Carlo exercise and a laboratory experiment. -
Decomposing Systemic Risk: The Roles of Contagion and Common Exposures
We examine systemic risks within the Canadian banking sector, decomposing them into three contribution channels: contagion, common exposures, and idiosyncratic risk. Through a structural model, we dissect how interbank relationships and market conditions contribute to systemic risk, providing new insights for financial stability. -
Survey of Indigenous Firms: A Snapshot of Wages, Prices and Financing in the Indigenous Business Sector in Canada
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. -
Digital Payments in Firm Networks: Theory of Adoption and Quantum Algorithm
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. -
Finding a Needle in a Haystack: A Machine Learning Framework for Anomaly Detection in Payment Systems
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. -
Endogenous Credibility and Wage-Price Spirals
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.