Econometric and statistical methods
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A Discussion of the Reliability of Results Obtained with Long-Run Identifying Restrictions
In a recent article, Faust and Leeper (1997) discuss reasons why inference from structural VARs identified with long-run restrictions may not be reliable. In this paper, the authors argue that there are reasons to believe that Faust and Leeper's arguments are not devastating in practice. First, simulation exercises suggest that this approach does well when […] -
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). -
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. -
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). -
Regime-Switching Models: A Guide to the Bank of Canada Gauss Procedures
This paper is a user's guide to a set of Gauss procedures developed at the Bank of Canada for estimating regime-switching models. -
Selection of the Truncation Lag in Structural VARs (or VECMs) with Long-Run Restrictions
authors examine the issue of lag-length selection in the context of a structural vector autoregression (VAR) and a vector error-correction model with long-run restrictions. First, they show that imposing long-run restrictions implies, in general, a moving-average (MA) component in the stationary multivariate representation. Then they examine the sensitivity of estimates of the permanent and transitory […] -
Analytical Derivatives for Markov Switching Models
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 […]
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