C - Mathematical and Quantitative Methods
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A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap
In this paper, the authors survey some of the recent techniques proposed in the literature to measure the trend component of output or potential output. Given the reported shortcomings of mechanical filters and univariate approaches to estimate potential output, the paper focusses on three simple multivariate methodologies: the multivariate Beveridge-Nelson methodology (MBN), Cochrane's methodology (CO), and the structural VAR methodology with long-run restrictions applied to output (LRRO). -
La courbe de Phillips au Canada : un examen de quelques hypothèses
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. -
Fads or Bubbles?
This paper tests between fads and bubbles using a new empirical strategy (based on switching-regression econometrics) for distinguishing between competing asset-pricing models. By extending the Blanchard and Watson (1982) model, we show how stochastic bubbles can lead to regime-switching in stock market returns. -
Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples
This paper reconsiders several recently published but controversial results about the behaviour of exchange rates. In particular, it explores finite-sample problems in the application of cointegration tests and shows how these may have affected the conclusions of recent research. -
Do Mechanical Filters Provide a Good Approximation of Business Cycles?
In this paper, the authors examine how well the Hodrick-Prescott filter (HP) and the band-pass filter recently proposed by Baxter and King (BK) extract the business-cycle component of macroeconomic time series. -
The Bank of Canada's New Quarterly Projection Model, Part 4. A Semi-Structural Method to Estimate Potential Output: Combining Economic Theory with a Time-Series Filter
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. -
Speculative Behaviour, Regime-Switching and Stock Market Crashes
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." -
Avoiding the Pitfalls: Can Regime-Switching Tests Detect Bubbles?
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. -
Unit-Root Tests and Excess Returns
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).