C - Mathematical and Quantitative Methods
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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. -
Parallel Tempering for DSGE Estimation
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. -
Forecasting Recessions in Canada: An Autoregressive Probit Model Approach
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.