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.
This paper examines the performance of M1 in an indicator-model of inflation over time horizons as long as 16 quarters into the future.
This paper examines the effects that Canada's indebtedness has on Canadian real long-term interest rates, using the vector error-correction model (VECM). Our results show that there is a strongly cointegrated relationship between real interest rates in Canada, U.S. real interest rates, and Canadian public and external debt ratios.
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 FilterThe 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."
This paper attempts to provide one interpretation of the broad regional economic history of Canada since the early 1970s. As the title of the paper suggests, we believe that, to a significant degree, regional diversity in economic performance reflects movements in Canada's terms of trade, which very frequently are tied to developments in world commodity markets.
August 11, 1996 This article compares different measures of real short-term interest rates for Canada over the period from 1956 to 1995. A new measure for the expected real interest rate is constructed using a proxy for inflation expectations that is based on the properties of past inflation. The history of inflation in Canada suggests that the characteristics of inflation have changed considerably over time. Past inflation can be characterized by three different types of behaviour: an environment in which average inflation is low and shocks to inflation have only temporary effects; an environment of moderate inflation with more persistent disturbances; and an environment of drifting inflation in which shocks have permanent effects on the level of inflation. The proxy for inflation expectations uses a statistical model, called a Markov Switching Model, to take account of changes in the behaviour of inflation over time. It is found that uncertainty about the changing characteristics of inflation behaviour leads to uncertainty about estimates of inflation expectations and thus about measures of real interest rates. Target ranges for keeping inflation low should help reduce the uncertainty about inflation behaviour. The behaviour of inflation and interest rates suggests that the credibility of the Bank of Canada's inflation-control objectives is growing. This should reduce inflation uncertainty and lead to lower nominal interest rates over time.
August 10, 1996 The existence of a market for Real Return Bonds in Canada provides a direct tool with which to measure market expectations of inflation by comparing the yields on these bonds with those on conventional Government of Canada long-term bonds. However, there are other factors besides inflation expectations that may affect the yield differential. After reviewing these factors, the authors note that they can lead to a potentially large bias in the level of inflation expectations. The changes in the differential over time may, nonetheless, be a good indicator of movements in long-run inflation expectations. Based on this measure, expectations of long-run inflation have declined since late 1994.
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).