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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.

Many derivatives markets use collateral requirements calculated with industry-standard but dated methods that are not designed with systemic risk in mind. This paper explores whether the conservative nature of conventional collateral requirements outweighs their lack of consideration of systemic risk.

This paper introduces a new methodology to date systemic financial stress events in a transparent, objective and reproducible way. The financial cycle is captured by a monthly country-specific financial stress index.

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.

Following the recent financial crisis, major central banks have introduced several types of unconventional monetary policy measures, including liquidity and credit facilities, asset purchases and forward guidance. To date, these measures appear to have been successful. They restored market functioning, facilitated the transmission of monetary policy and supported economic activity. They have potential costs, however, including challenges related to the greatly expanded balance sheets of central banks and the eventual exit from these measures, as well as the vulnerabilities that can arise from prolonged monetary accommodation.

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.

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.

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.

We analyze monetary policy responses to AI in a two-sector New Keynesian model, distinguishing augmentation and automation. Both reduce labor demand, requiring accommodation that creates inflation trade-offs. Automation worsens them. Aggregate inflation depends on AI’s form and breadth, making policy stabilization more complex and aggregate data potentially misleading.