C - Mathematical and Quantitative Methods

• A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap

  Staff Working Paper 1997-5 Chantal Dupasquier, Alain Guay, Pierre St-Amant

  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).

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods JEL Code(s): C, C1, C13, C5, C52, E, E5, E52

• La courbe de Phillips au Canada : un examen de quelques hypothèses

  Staff Working Paper 1997-3 Jean-François Fillion, André Léonard

  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.

  Content Type(s): Staff research, Staff working papers Topic(s): Inflation and prices, Inflation targets JEL Code(s): C, C5, C52, E, E3, E31

• Fads or Bubbles?

  Staff Working Paper 1997-2 Huntley Schaller, Simon van Norden

  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.

  Content Type(s): Staff research, Staff working papers Topic(s): Financial markets JEL Code(s): C, C4, C40, G, G1, G12

• Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples

  Staff Working Paper 1997-1 Marie-Josée Godbout, Simon van Norden

  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.

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods JEL Code(s): C, C1, C15, C2, C22, C3, C32, F, F3, F31

• Do Mechanical Filters Provide a Good Approximation of Business Cycles?

  Technical Report No. 78 Alain Guay, Pierre St-Amant

  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.

  Content Type(s): Staff research, Technical reports Topic(s): Econometric and statistical methods JEL Code(s): C, C5, C52, E, E3, E32

• 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

  Technical Report No. 77 Leo Butler

  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.

  Content Type(s): Staff research, Technical reports Topic(s): Economic models JEL Code(s): C, C5, C51, E, E2, E23

• Speculative Behaviour, Regime-Switching and Stock Market Crashes

  Staff Working Paper 1996-13 Simon van Norden, Huntley Schaller

  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."

  Content Type(s): Staff research, Staff working papers Topic(s): Financial markets JEL Code(s): C, C4, C40, E, E4, E44, G, G1, G12

• Avoiding the Pitfalls: Can Regime-Switching Tests Detect Bubbles?

  Staff Working Paper 1996-11 Simon van Norden, Robert Vigfusson

  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.

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods JEL Code(s): C, C2, C22, C5, C52

• Unit-Root Tests and Excess Returns

  Staff Working Paper 1996-10 Marie-Josée Godbout, Simon van Norden

  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).

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods JEL Code(s): C, C1, C12, F, F3, F31

• Does Inflation Uncertainty Vary with the Level of Inflation?

  Staff Working Paper 1996-9 Allan Crawford, Marcel Kasumovich

  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.

  Content Type(s): Staff research, Staff working papers Topic(s): Inflation and prices, Monetary policy and uncertainty JEL Code(s): C, C5, C52, E, E3, E31