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This paper derives analytical gradients for a broad class of regime-switching models with Markovian state-transition probabilities. Such models are usually estimated by maximum likelihood methods, which require the derivatives of the likelihood function with respect to the parameter vector. These gradients are usually calculated by means of numerical techniques. The paper shows that analytical gradients […]

The monthly data for real gross domestic product (GDP) by industry are used extensively in real time both to ground the Bank of Canada’s monitoring of economic activity and in the Bank’s nowcasting tools, making these data one of the most important high-frequency time series for Canadian nowcasting.

When estimating earnings losses upon job separations, existing strategies focus on separations in mass layoffs to distinguish involuntary separations from voluntary separations. We revisit the measurement of the sources and consequences of involuntary job separations using Canadian job separation records.

The elimination of long-term contracts and early termination fees (ETFs) in the US wireless industry at the end of 2015 increased monthly service fees by 2 to 5 percent. Nevertheless, consumers are clearly better off without ETFs. While firms’ revenues from ETFs vanish, their profits from monthly fees increase. As a result, the overall effect on producer profits is less clear.

Because the Bank of Canada has started withdrawing monetary stimulus, monitoring the transmission of these changes to monetary policy will be important. Subcomponents of consumption and housing will likely respond differently to a monetary policy tightening, both in terms of the aggregate effect and timing.

Between 2002 and 2008, global commodity prices rose to unprecedented levels. This article examines the process of adjustment to the commodity boom in four industrialized, commodity-exporting countries (Australia, Canada, New Zealand, and Norway). The article focuses on both the direct adjustment within the commodity-producing sectors (via increased employment and capital spending) and the indirect adjustment in the macro economy. The analysis finds that the indirect adjustment process, which was triggered by the increase in incomes that the commodity-price boom generated, has been the most important part of the adjustment in all four economies. Through this channel, aggregate demand rose, exchange rates appreciated, and adjustment was facilitated in other sectors, such as manufacturing and construction.

Inflation targeting, a stable macroeconomic environment, and an average growth rate for potential output that is not expected to vary much in the next several years all help households, businesses, and governments in their medium-term economic and financial planning. Several simple rules of thumb can be usefully employed in this planning. Specifically, inflation targeting has maintained most major measures of inflation quite close to the target midpoint on average over a number of years. Combined with a clear fiscal framework, this has contributed to a more stable macroeconomic environment in which output varies less around its potential level. Potential output growth is expected to average around 3 per cent over the next several years. In light of these factors and historical relationships, labour income, profits, and consumer spending will likely grow, on average, by about 5 per cent over the medium term. Real and nominal long-term interest rates should also continue to be stable, with real 30-year yields varying around 3.5 or 4.0 per cent, and nominal yields varying around 5.5 or 6.0 per cent.

The author traces developments in the Canadian covered bond market. Covered bonds could be a valuable way to provide a stable and diverse source of funding, particularly for smaller banks. However, higher issuance could increase banks’ vulnerability to liquidity stress, with implications for the broader financial system. The author argues that these benefits and challenges can be balanced in a well-designed policy framework.

This study, which draws on a variety of research on price dynamics in Canada, examines some hypotheses that might explain the poor quality of recent inflation forecasts based on the conventional Phillips curve.