Autoregressive Modeling of Canadian Money and Income Data

Abstract A sequential procedure based on Akaike's final prediction-error criterion and Granger's concept of causality to fit multiple auto-regressions is suggested. The method not only allows each variable to enter the equation with a different time lag but also provides a reasonably powerful test of exogeneity or causality. The idea is applied to Canadian postwar money and income data. It is found that a bivariate feedback model for M1 and GNP and a one-way causal relation from GNP to M2 fit the data best. Diagnostic checks applied to our model seem to indicate the adequacy of our approach.

[1]  A. Zellner.  Causality and econometrics , 1979 .

[2]  Money, Inflation and the Bank of Canada: An Analysis of Canadian Monetary Policy from 1970 to Early 1975 , 1978 .

[3]  James T. McClave,et al.  Estimating the Order of Autoregressive Models: The Max x 2 Method , 1978 .

[4]  Christopher A. Sims,et al.  MACRO-ECONOMICS AND REALITY , 1977 .

[5]  Larry D. Haugh,et al.  Causality in temporal systems: Characterization and a survey , 1977 .

[6]  R. Shibata.  Selection of the order of an autoregressive model by Akaike's information criterion , 1976 .

[7]  Peter E. Caines,et al.  Feedback between stationary stochastic processes , 1975 .

[8]  B. Sharpe,et al.  The Role of Money in the Canadian Economy , 1975 .

[9]  C. Granger,et al.  Spurious regressions in econometrics , 1974 .

[10]  James T. Bennett,et al.  THE ROLE OF MONEY IN THE CANADIAN ECONOMY: AN EMPIRICAL TEST , 1974 .

[11]  C. Sims.  Money, Income, and Causality , 1972 .

[12]  H. Akaike.  Autoregressive model fitting for control , 1971 .

[13]  Michael D. Geurts,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[14]  H. Akaike.  Statistical predictor identification , 1970 .

[15]  James Tobin,et al.  Money and Income: Post Hoc Ergo Propter Hoc?: Rejoinder. , 1970 .

[16]  Milton Friedman,et al.  A Theoretical Framework for Monetary Analysis , 1970, Journal of Political Economy.

[17]  H. Akaike.  Fitting autoregressive models for prediction , 1969 .

[18]  C. Granger.  Investigating causal relations by econometric models and cross-spectral methods , 1969 .

[19]  P. Masani.  RECENT TRENDS IN MULTIVARIATE PREDICTION THEORY , 1966 .

[20]  Allan H. Meltzer,et al.  A Credit Market Theory of the Money Supply and an Explanation of Two Puzzles in U.S. Monetary Policy , 1966 .

[21]  A. Day,et al.  Money and Income. , 1961 .