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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.

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.

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.

The secular decline in real interest rates has created a challenge for monetary policy, now confronting the zero lower bound more often. An increase in the supply of safe assets reduces downward pressure on the natural interest rate. This allows monetary policy to reach price stability and full employment, but not without cost—permanently lower investment.

This issue features four articles that present research and analysis by Bank staff. The first focuses on reforming the international monetary system; the second on the role of collateral and haircut policy in central bank lending; and the third on the extraction of information from the Business Outlook Survey using principal-component analysis. The fourth reviews studies that model the counterfeiting of bank notes.

This paper shows that survey expectations can be used to uncover how households subjectively think about inflation and unemployment dynamics jointly. The commonly documented "stagflation view", namely the households' tendency to associate inflation with a worse labor market, implies amplified impacts of supply shocks and dampened ones of demand shocks.

Given the rapid and ongoing integration of the global economy, the International Monetary Fund needs to renew its role, governance structure, and functions if it is to maintain its relevance as the institution charged with promoting global financial stability. Lecavalier and Santor examine the areas of possible reform, including quota, voice, and representation; internal governance; surveillance; lending instruments; finances; and the Fund's role in low-income countries. They also review current Bank of Canada research that supports these reform efforts, including an integrated framework for IMF surveillance recently developed at the Bank.

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.

We assess whether more central clearing would enhance the resilience of Canadian fixed-income markets. Our analysis estimates the potential benefits of balance sheet netting under scenarios where central clearing is expanded to new participants.