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In this study, we enhance Markowitz portfolio selection with graph theory for the analysis of two portfolios composed of either EU or US assets. Using a threshold-based decomposition of their respective covariance matrices, we perturb the level of risk in each portfolio and build the corresponding sets of graphs.

This issue of the Financial System Review reflects the Bank’s judgment that the high level of household indebtedness and housing market imbalances remain the most important vulnerabilities. While these vulnerabilities are still elevated, improving economic conditions and recent changes to housing policy should support an easing of these vulnerabilities over time. A third vulnerability highlighted in the FSR concerns cyber threats and the interconnectedness of the financial system.

Using U.S. county-level data from 1990 to 2010, we study the causal impact of immigration on the provision of local public goods. We uncover substantial heterogeneity across immigrants with different skills and immigrants of different generations, which leads to unequal fiscal effects across U.S. counties.

Using the quantum Monte Carlo algorithm, we study whether quantum computing can improve the run time of economic applications and challenges in doing so. We apply the algorithm to two models: a stress testing bank model and a DSGE model solved with deep learning. We also present innovations in the algorithm and benchmark it to classical Monte Carlo.

Deputy Governor Nicolas Vincent discusses how firms set their prices and how pricing behaviour changed in our recent environment of high inflation.

Governor Tiff Macklem discusses how structural change—driven by U.S. protectionism, AI, and slowing population growth—is reshaping Canada’s economy. He outlines the Bank’s role in maintaining low and stable inflation while helping the economy through the transition.

First, I should explain what I mean by flexibility. As most of you are surely aware, the Bank of Canada has been openly discussing the importance of promoting policies that support economic efficiency, including financial system efficiency. Efficiency refers to the allocation of scarce economic resources to the most productive uses, in a cost-effective way.

Digital payments and decentralized systems enable the creation of new financial products and services for users. One core challenge in digital payments is the need to protect users from fraud and abuse while retaining privacy in individual transactions. We propose a pseudonymous credential scheme for use in payment systems to tackle this problem.

This article reviews recent work that uses principal-component analysis to extract information common to indicators from the Bank of Canada’s Business Outlook Survey (BOS). The authors use correlation analysis and an out-of-sample forecasting exercise to assess and compare the information content of the principal component with that of responses to key individual survey questions on growth in real gross domestic product and in real business investment. Results suggest that summarizing the common movements among BOS indicators may provide useful information for forecasting near-term growth in business investment. For growth in real gross domestic product, however, the survey’s balance of opinion on future sales growth appears to be more informative.

This note examines the relatively subdued pace of wage growth in Canada since the commodity price decline in 2014 and assesses whether the weakness is attributable to cyclical (e.g., labour market slack) or structural factors (e.g., resource reallocation and demographic change).