C - Mathematical and Quantitative Methods

• Small and smaller: How the economic outlook of small firms relates to size

  Staff Analytical Note 2021-14 Chris D'Souza, James Fudurich, Farrukh Suvankulov

  Firms with fewer than 100 workers employ about 65 percent of the total labour force in Canada. An online survey experiment was conducted with firms of this size in Canada in 2018–19. We compare the responses of small and micro firms to explore how their characteristics and economic outlooks relate to their size.

  Content Type(s): Staff research, Staff analytical notes Topic(s): Business fluctuations and cycles, Firm dynamics JEL Code(s): C, C8, C83, D, D2, D22, E, E3, E32

• Shaping the future: Policy shocks and the GDP growth distribution

  Staff Working Paper 2021-24 Francois-Michel Boire, Thibaut Duprey, Alexander Ueberfeldt

  Can central bank and government policies impact the risks around the outlook for GDP growth? We find that fiscal stimulus makes strong GDP growth more likely—even more so when monetary policy is constrained—rather than weak GDP growth less likely. Thus, fiscal stimulus should accelerate the recovery phase of the COVID-19 pandemic.

  Content Type(s): Staff research, Staff working papers Topic(s): Central bank research, Econometric and statistical methods, Financial stability, Fiscal policy, Monetary policy JEL Code(s): C, C3, C32, C5, C53, E, E5, E52, E6, E62

• Detecting exuberance in house prices across Canadian cities

  Staff Analytical Note 2021-9 Ugochi Emenogu, Cars Hommes, Mikael Khan

  We introduce a model to detect periods of extrapolative house price expectations across Canadian cities. The House Price Exuberance Indicator can be updated on a quarterly basis to support the Bank of Canada’s broader assessment of housing market imbalances.

  Content Type(s): Staff research, Staff analytical notes Topic(s): Econometric and statistical methods, Financial stability, Housing JEL Code(s): C, C5, C53, R, R2, R21, R3, R31

• Evolving Temperature Dynamics in Canada: Preliminary Evidence Based on 60 Years of Data

  Staff Working Paper 2021-22 Robert Amano, Marc-André Gosselin, Julien McDonald-Guimond

  Are summers getting hotter? Do daily temperatures change more than they used to? Using daily Canadian temperature data from 1960 to 2020 and modern econometric methods, we provide economists and policy-makers evidence on the important climate change issue of evolving temperatures.

  Content Type(s): Staff research, Staff working papers Topic(s): Climate change, Econometric and statistical methods JEL Code(s): C, C2, C22, Q, Q5, Q54

• How Long is Forever in the Laboratory? Three Implementations of an Infinite-Horizon Monetary Economy

  Staff Working Paper 2021-16 Janet Hua Jiang, Daniela Puzzello, Cathy Zhang

  Standard monetary models adopt an infinite horizon with discounting. Testing these models in the lab requires implementing this horizon within a limited time frame. We compare three approaches to such an implementation and discuss their relative advantages.

  Content Type(s): Staff research, Staff working papers Topic(s): Central bank research, Economic models, Inflation and prices JEL Code(s): C, C9, C92, D, D8, D83, E, E4, E40

• Occasionally Binding Constraints in Large Models: A Review of Solution Methods

  Staff Discussion Paper 2021-5 Jonathan Swarbrick

  Solving macroeconomic models is difficult. One challenge is the occasionally binding constraint of the zero lower bound on nominal interest rates. This paper reviews various ways to solve models that include this feature.

  Content Type(s): Staff research, Staff discussion papers Topic(s): Business fluctuations and cycles, Economic models JEL Code(s): C, C6

• A Generalized Endogenous Grid Method for Default Risk Models

  Staff Working Paper 2021-11 Youngsoo Jang, Soyoung Lee

  Models with default options are hard to solve. We propose an extension of the endogenous grid method that solves default risk models more efficiently and accurately.

  Content Type(s): Staff research, Staff working papers Topic(s): Credit and credit aggregates, Credit risk management JEL Code(s): C, C6, C63, E, E3, E37

• Cash and COVID-19: The Effects of Lifting Containment Measures on Cash Demand and Use

  Staff Discussion Paper 2021-3 Heng Chen, Walter Engert, Kim Huynh, Gradon Nicholls, Julia Zhu

  Using Bank Note Distribution System data on the demand for cash up to September 2020, we find that demand was strong. This is true even though cash use for payments declined early in the pandemic. When mobility restrictions and lockdown measures were eased, cash use for payments increased sharply but remained less popular than electronic methods of payment.

  Content Type(s): Staff research, Staff discussion papers Topic(s): Bank notes, Central bank research, Coronavirus disease (COVID-19), Digital currencies and fintech, Econometric and statistical methods JEL Code(s): C, C1, C12, C9, E, E4, O, O5, O54

• Estimating Policy Functions in Payments Systems Using Reinforcement Learning

  Staff Working Paper 2021-7 Pablo S. Castro, Ajit Desai, Han Du, Rodney J. Garratt, Francisco Rivadeneyra

  We demonstrate the ability of reinforcement learning techniques to estimate the best-response functions of banks participating in high-value payments systems—a real-world strategic game of incomplete information.

  Content Type(s): Staff research, Staff working papers Topic(s): Digital currencies and fintech, Financial institutions, Financial system regulation and policies, Payment clearing and settlement systems JEL Code(s): A, A1, A12, C, C7, D, D8, D83, E, E4, E42, E5, E58

• (Optimal) Monetary Policy with and without Debt

  Staff Working Paper 2021-5 Boris Chafwehé, Rigas Oikonomou, Romanos Priftis, Lukas Vogel

  How should policy be designed at high debt levels, when fiscal authorities have little room to adjust taxes? Assigning the monetary authority a role in achieving debt sustainability makes it less effective in stabilizing inflation and output.

  Content Type(s): Staff research, Staff working papers Topic(s): Economic models, Fiscal policy, Monetary policy, Monetary policy framework JEL Code(s): C, C1, C11, E, E3, E31, E5, E52, E58, E6, E62