Search

This paper considers the problem of estimating a linear model between two heavy-tailed variables if the explanatory variable has an extremely low (or high) value. We propose an estimator for the model coefficient by exploiting the tail dependence between the two variables and prove its asymptotic properties.

The break-even inflation rate (BEIR) is calculated by comparing the yields on conventional and Real Return Bonds. Defined as the average rate of inflation that equates the expected returns on these two bonds, the BEIR has the potential to contain useful information about long-run inflation expectations. Yet the BEIR has been higher, on average, and more variable than survey measures of inflation expectations, which may be explained by the effects of premiums and distortions embedded in the BEIR. Because of the difficulty in accounting for these distortions, the BEIR should not be given a large weight as a measure of long-run inflation expectations at this time. However, as the Real Return Bond market continues to develop, the BEIR should become a more useful indicator of inflation expectations. At present, it demonstrates no clear advantage over survey measures and even past inflation rates in forecasting near-term inflation.

Bank of Canada Deputy Governor Sharon Kozicki discusses how differences among households affect economic outcomes, how shocks can have important uneven effects across households, and why these things matter for monetary policy.

Worst-case analysis is used among financial regulators in the wake of the recent financial crisis to gauge the tail risk. We provide insight into worst-case analysis and provide guidance on how to estimate it. We derive the bias for the non-parametric heavy-tailed order statistics and contrast it with the semi-parametric extreme value theory (EVT) approach.

Central banks continuously strive to improve how they communicate to financial markets and the public in order to increase transparency. For this reason, many central banks have begun to include guidance on the policy rate in the form of forward-looking statements in their communications. This article examines the debate over the usefulness of providing such statements from both theoretical and empirical standpoints. The evidence presented here suggests that the use of forward-looking statements in Bank of Canada communications has made the Bank more predictable, but not necessarily more transparent.

We present the annual update of the Bank of Canada staff estimates for global potential output growth. These estimates served as key inputs to the analysis supporting the April 2026 Monetary Policy Report.

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.

This paper provides a non-technical introduction to monetary policy - what it is, how it works, and why it matters. It discusses inflation volatility and why this is damaging to the economy, as well as why increased stability of output growth is desirable.

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.