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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 Financial System Review is one vehicle that the Bank of Canada uses to contribute to the strength of the Canadian financial system. The Developments and Trends section of the Review aims to provide analysis and discussion of current developments and trends in the Canadian financial sector.

The author proposes an arbitrage-free model of the joint behaviour of interest and exchange rates whose exchange rate forecasts outperform those produced by a random-walk model, a vector autoregression on the forward premiums and the rate of depreciation, and the standard forward premium regression.

Advances in variance analysis permit the splitting of the total quadratic variation of a jump diffusion process into upside and downside components. Recent studies establish that this decomposition enhances volatility predictions, and highlight the upside/downside variance spread as a driver of the asymmetry in stock price distributions.

A highly credible monetary policy helps to reduce the degree of uncertainty that can surround the objectives of such policy. When the monetary policy pursued by the central bank is credible, the expectations of the public are focused on a target. If the public believes that the Bank will act to bring inflation back to the target, then its expectations will not react so strongly to fluctuating price trends. In turn, fluctuations in inflation, interest rates, output, and employment should be less pronounced than in the absence of such credibility. The adoption of inflation control as a monetary policy objective by some countries has led central banks to take steps to enhance the credibility of monetary policy. For the Bank of Canada, these include * the publication of our Monetary Policy Report each May and November, with formal updates each February and August * the initiation of communications activities across the country * the use of the overnight interest rate as a short-term operating target * the issuing of a press release each time the Bank changes its key rates To date, most of the studies on this topic have concluded that success in keeping inflation within a target range has helped to increase the credibility of Canadian monetary policy. These surveys suggest that expected inflation, which stood at about 5 per cent in 1990, declined to around 2 per cent by 1999 (Chart 1, page 15). Indeed, according to these surveys, for the entire period during which the Bank has had a target range for inflation, expected inflation rates have remained within that range. Inflation expectations have also reacted very little to changes in the total CPI, suggesting that the targets have helped to focus expectations on the target rate and have thus enhanced the credibility of monetary policy (Chart 2, page 16). One particular study shows that the life of collective wage agreements in Canada has been increasing and that the number of such agreements containing cost-of-living adjustment (COLA) clauses has steadily declined. The authors of this study suggest that this may reflect the greater credibility of Canadian monetary policy (Table 1, page 16). The proportion of mortgages with five-year terms is now higher than it was in the mid-1980s, and many financial institutions have been offering 7- to 10-year mortgages. This also suggests that inflation targets have gained credibility.

Banks reliance on short-term funding has increased over time. While an effective source of financing in good times, the 2007 financial crisis has exposed the vulnerability of banks and ultimately firms to such a liability structure.

We investigate the extent to which excess supply (demand) in labour markets contributes to a lower (higher) growth rate of average nominal wages for workers. Using panel methods on data from 10 advanced economies for 1992–2018, we produce reduced-form estimates of a wage Phillips curve specification that is consistent with a New Keynesian framework.

In this analytical note we show that the share of the systematic variations in the Canadian dollar has risen significantly in the past two decades. Systematic variations in the exchange rate are shared with other currencies. This parallels the equity market, where variations in the price of a given stock are shared with variations in the prices of other stocks.

The authors analyze the welfare implications of simple monetary policy rules in the context of an estimated model of a small open economy for Canada with traded and non-traded goods, and with sticky prices and wages.

The governance challenges facing the International Monetary Fund (IMF) are not simply limited to representation and voice, and the associated question of quota allocation.