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
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
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
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
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
Income Inequality in Canada Staff discussion paper 2022-16 Sarah Burkinshaw, Yaz Terajima, Carolyn A. Wilkins Data show that income inequality in Canada increased substantially during the 1980s and first half of the 1990s but has been relatively stable over the past 25 years. This increase was felt mainly by low-income earners and younger people, while older people benefited from higher retirement income. Content Type(s): Staff research, Staff discussion papers JEL Code(s): D, D3, D31, D6, D63, I, I2, I24, I3, I32, J, J3, J31, J32, N, N3, N32 Research Theme(s): Monetary policy, Real economy and forecasting, Structural challenges, Demographics and labour supply
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
A Fresh Look at the Publication and Citation Gap Between Men and Women: Insights from Economics and Political Science Staff working paper 2025-13 Daniel Stockemer, Gabriela Galassi, Engi Abou-El-Kheir In recent years, significant efforts have been made to attract more women into academia and to support their careers, with the goal of increasing their representation. Content Type(s): Staff research, Staff working papers JEL Code(s): A, A1, A14, I, I2, I23, J, J1, J16, J4, J44, J7, J71 Research Theme(s): Structural challenges, Demographics and labour supply
The Value of Mortgage Choice: Payment Structure and Contract Length Staff working paper 2026-2 Michael Boutros, Nuno Clara, Katya Kartashova We study household mortgage choice in a model with three mortgage contracts that differ in their payment structures: fixed-rate fixed-payment, variable-rate variable-payment, and a hybrid variable-rate fixed-payment mortgage where interest rate changes affect principal repayment rather than payment size. We calibrate the model to match mortgage choice patterns in Canada, where all these options are offered with short terms. We demonstrate that restricting contract choice or mandating long terms, as in the U.S. system, can lead to substantial welfare losses by limiting risk management strategies and increasing mortgage pricing ex-ante. Content Type(s): Staff research, Staff working papers Research Theme(s): Financial system, Financial institutions and intermediation, Household and business credit
August 23, 2003 Financial Developments in Canada: Past Trends and Future Challenges Bank of Canada Review - Summer 2003 Charles Freedman, Walter Engert Freedman and Engert focus on the changing pattern of lending and borrowing in Canada in the past thirty to forty years, including the types of financial instruments used and the relative roles of financial institutions and financial markets. They examine how borrowing mechanisms have changed over time and consider the challenges facing the Canadian financial sector, including whether our financial markets are in danger of disappearing because of the size and pre-eminence of U.S. financial markets. Some of the trends examined here include syndicated lending, securitization, and credit derivatives, a form of financial engineering that has become increasingly important in the last few years. They also study bond and equity markets to determine whether Canadian capital markets have been hollowed out or abandoned by Canadian firms and conclude that the data do not provide much support for that view. Content Type(s): Publications, Bank of Canada Review articles