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The level of potential output plays a central role in the Bank of Canada's new Quarterly Projection Model (QPM). This report, the fourth in a series documenting QPM, describes a general method to measure potential output, as well as its implementation in the QPM system.

This paper uses regime-switching econometrics to study stock market crashes and to explore the ability of two very different economic explanations to account for historical crashes. The first explanation is based on historical accounts of "manias and panics."

Work on testing for bubbles has caused much debate, much of which has focussed on methodology. Monte Carlo simulations reported in Evans (1991) showed that standard tests for unit roots and cointegration frequently reject the presence of bubbles even when such bubbles are present by construction. Evans referred to this problem as the pitfall of testing for bubbles.

Several recent papers have presented evidence from foreign exchange and other markets suggesting that the log of excess returns can be characterized as first-order integrated processes (I(1)). This contrasts sharply with the "conventional" wisdom that log prices are integrated of order one I(1) and that log returns should therefore be integrated of order zero I(0), and even more sharply with the view that past returns have no ability to predict future returns (weak market efficiency).

The purpose of this study is to test the hypothesis that inflation uncertainty increases at higher levels of inflation. Our analysis is based on the generalized autoregressive conditional heteroscedasticity (GARCH) class of models, which allow the conditional variance of the error term to be time-varying. Since this variance is a proxy for inflation uncertainty, a positive relationship between the conditional variance and inflation would be interpreted as evidence that inflation uncertainty increases with the level of inflation.

Greater intervention by the public sector is often proposed as a solution to the increased speculation and excessive price volatility thought to characterize today's competitive world financial system.

The Bank of Canada's new Quarterly Projection Model, QPM, combines the short-term dynamic properties necessary to support regular economic projections with the consistent behavioural structure necessary for policy analysis.

This paper is a user's guide to a set of Gauss procedures developed at the Bank of Canada for estimating regime-switching models.

Since the early 1980s, models based on economic fundamentals have been poor at explaining the movements in the exchange rate (Messe 1990). In response to this problem, Frankel and Froot (1988) developed a model that uses two approaches to forecast the exchange rate: the fundamentalist approach, which bases the forecast on economic fundamentals, and the chartist approach, which bases the forecast on the past behaviour of the exchange rate.

In this report, we describe methods for solving economic models when expectations are presumed to have at least some element of consistency with the predictions of the model itself. We present analytical results that establish the convergence properties of alternative solution procedures for linear models with unique solutions. Only one method is guaranteed to converge, […]