The Optimum Quantity of Central Bank Reserves Staff working paper 2025-15 Jonathan Witmer This paper analyzes the optimal quantity of central bank reserves in an economy where reserves and other financial assets provide liquidity benefits. Using a static model, I derive a constrained Friedman rule that characterizes the socially optimal level of reserves, demonstrating that this quantity is neither necessarily large nor small but depends on the marginal benefits of reserves relative to alternative safe assets. Content Type(s): Staff research, Staff working papers JEL Code(s): E, E4, E41, E42, E5, E58, G, G2, G21, G28 Research Theme(s): Financial markets and funds management, Market functioning, Financial system, Financial institutions and intermediation, Monetary policy, Monetary policy tools and implementation
June 11, 2015 Assessing Vulnerabilities in the Canadian Financial System Financial System Review - June 2015 Ian Christensen, Gitanjali Kumar, Césaire Meh, Lorie Zorn The authors present the four common cyclical vulnerabilities that appear in financial systems, providing examples of qualitative and quantitative indicators used to monitor these vulnerabilities across different sectors. They also discuss other inputs to the vulnerability assessment and to the internal process used at the Bank of Canada for identifying, evaluating and communicating vulnerabilities and risks, and highlight some of the key challenges in assessing financial system vulnerabilities and risks. Content Type(s): Publications, Financial System Review articles JEL Code(s): G, G0, G01, G1, G10, G2, G20
November 17, 2011 Liquidity Provision and Collateral Haircuts in Payments Systems Bank of Canada Review - Autumn 2011 James Chapman, Jonathan Chiu, Miguel Molico Central banks play a pivotal role in well-functioning payments systems by providing liquidity via collateralized lending. This article discusses the role of collateral and haircut policy in central bank lending, as well as the distinguishing features of the central bank’s policy relative to private sector practices. It presents a model that explicitly incorporates the unique role of central banks in the payments system and argues that central banks must consider how their haircut policies affect the relative price and liquidity of assets, the market’s asset allocation, and the likelihood of participants to default. Furthermore, under extraordinary circumstances, there is a rationale for the central bank to temporarily reduce haircuts or broaden the list of eligible collateral to mitigate the shortage of liquidity in the market. Content Type(s): Publications, Bank of Canada Review articles
November 18, 2001 A New Measure of Core Inflation Bank of Canada Review - Autumn 2001 Tiff Macklem While the Bank of Canada's inflation-control target is specified in terms of the rate of increase in the total consumer price index, the Bank uses a measure of trend or "core" inflation as a short-term guide for its monetary policy actions. When the inflation targets were renewed in May 2001, the Bank announced that it was adopting a new measure of core inflation. This measure excludes the eight most volatile components of the CPI and adjusts the remaining components for the effect of changes in indirect taxes. In this article, the author discusses the definition of the new measure of core inflation and describes some of its advantages relative to the previous measure. He notes that the new measure has a firmer statistical basis, has a better correspondence with economic theory, and does a better job of predicting future changes in overall inflation. While the new measure has these advantages, the Bank will continue to monitor a broad range of indicators when assessing the likely future path for inflation. Content Type(s): Publications, Bank of Canada Review articles
Measuring Limits of Arbitrage in Fixed-Income Markets Staff working paper 2017-44 Jean-Sébastien Fontaine, Guillaume Nolin We use relative value to measure limits to arbitrage in fixed-income markets. Relative value captures apparent deviations from no-arbitrage relationships. It is simple, intuitive and can be computed model-free for any bond. Content Type(s): Staff research, Staff working papers JEL Code(s): G, G1, G12 Research Theme(s): Financial markets and funds management, International markets and currencies, Market functioning, Market structure
December 21, 2006 Financial System Review - December 2006 The financial system makes an important contribution to the welfare of all Canadians. The ability of households and firms to confidently hold and transfer financial assets is one of the fundamental building blocks of the Canadian economy. Content Type(s): Publications, Financial Stability Report
Housing Price Network Effects from Public Transit Investment: Evidence from Vancouver Staff working paper 2018-18 Alex Chernoff, Andrea Craig In this paper, we estimate the effect on housing prices of the expansion of the Vancouver SkyTrain rapid transit network during the period 2001–11. We extend the canonical residential sorting equilibrium framework to include commuting time in the household utility function. Content Type(s): Staff research, Staff working papers JEL Code(s): H, H4, H41, R, R2, R21, R4, R41 Research Theme(s): Financial markets and funds management, Market functioning, Models and tools, Economic models, Monetary policy, Real economy and forecasting
Harnessing the benefit of state-contingent forward guidance Staff analytical note 2022-13 Vivian Chu, Yang Zhang A low level of the neutral rate of interest increases the likelihood that a central bank’s policy rate will reach its effective lower bound (ELB) in future economic downturns. In a low neutral rate environment, using an extended monetary policy toolkit including forward guidance helps address the ELB challenge. Using the Bank’s Terms-of-Trade Economic Model, we assess the benefits and limitations of a state-contingent forward guidance implemented within a flexible inflation targeting framework. Content Type(s): Staff research, Staff analytical notes JEL Code(s): E, E2, E27, E3, E37, E4, E5, E52, E58 Research Theme(s): Models and tools, Economic models, Monetary policy, Monetary policy framework and transmission, Monetary policy tools and implementation
Analysis of Asymmetric GARCH Volatility Models with Applications to Margin Measurement Staff working paper 2018-21 Elena Goldman, Xiangjin Shen We explore properties of asymmetric generalized autoregressive conditional heteroscedasticity (GARCH) models in the threshold GARCH (GTARCH) family and propose a more general Spline-GTARCH model, which captures high-frequency return volatility, low-frequency macroeconomic volatility as well as an asymmetric response to past negative news in both autoregressive conditional heteroscedasticity (ARCH) and GARCH terms. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C5, C58, G, G1, G19, G2, G23, G28 Research Theme(s): Financial markets and funds management, Market functioning, Financial system, Financial stability and systemic risk, Models and tools, Econometric, statistical and computational methods, Money and payments, Payment and financial market infrastructures
The MacroFinancial Risk Assessment Framework (MFRAF), Version 2.0 Technical report No. 111 Jose Fique This report provides a detailed technical description of the updated MacroFinancial Risk Assessment Framework (MFRAF), which replaces the version described in Gauthier, Souissi and Liu (2014) as the Bank of Canada’s stress-testing model for banks with a focus on domestic systemically important banks (D-SIBs). Content Type(s): Staff research, Technical reports JEL Code(s): C, C7, C72, E, E5, E58, G, G0, G01, G2, G21, G28 Research Theme(s): Financial markets and funds management, Market functioning, Financial system, Financial stability and systemic risk, Financial system regulation and oversight