A VARMA Test on the Gibson Paradox

We applied the VARMA test to examine the dynamic relation between prices and interest rates. The dynamic relation, which is important to characterize the nature of the Gibson paradox, provides economists new insight in discriminating against competing theories. In light of our empirical findings, all theories in the literature lose their persuasiveness. We found some evidence of unidirectional relation from prices to interest rates, but we found no evidence of unidirectional relation from interest rates to prices. Hence, the business cycle explanations advanced by Wicksell (1907), Keynes (1930), Lee and Petruzzi (1986), and Barsky and Summers (1988) are especially in jeopardy. A century and a half after its birth, this paradox is more puzzling than ever. Copyright 1990 by MIT Press.

[1]  W. Yohe,et al.  Interest rates and price level changes, 1952-69 , 1969 .

[2]  G. C. Tiao,et al.  Multiple Time Series Modeling and Extended Sample Cross-Correlations , 1983 .

[3]  John Geweke,et al.  Comparing alternative tests of causality in temporal systems: Analytic results and experimental evidence☆ , 1983 .

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

[5]  C. Granger Investigating Causal Relations by Econometric Models and Cross-Spectral Methods , 1969 .

[6]  D. A. Pierce Relationships-and the Lack Thereof- Between Economic Time Series, with Special Reference to Money and Interest Rates , 1977 .

[7]  Luis Molina A Treatise on Money , 2010 .

[8]  G. C. Tiao,et al.  Modeling Multiple Time Series with Applications , 1981 .

[9]  G. Box,et al.  On a measure of lack of fit in time series models , 1978 .

[10]  K. Wicksell The Influence of the Rate of Interest on Prices , 1907 .

[11]  Chi-Wen Jevons Lee,et al.  The Gibson Paradox and the Monetary Standard , 1986 .

[12]  E. Feige,et al.  The Casual Causal Relationship between Money and Income: Some Caveats for Time Series Analysis , 1979 .

[13]  L. Haugh Checking the Independence of Two Covariance-Stationary Time Series: A Univariate Residual Cross-Correlation Approach , 1976 .

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

[15]  G. Dwyer The Gibson Paradox: A Cross-Country Analysis , 1984 .

[16]  David K. Guilkey,et al.  Small Sample Properties of Three Tests for Granger-Causal Ordering in a Bivariate Stochastic System , 1982 .

[17]  I. Fisher,et al.  The theory of interest , 1956 .

[18]  B. Klein Our New Monetary Standard: The Measurement and Effects of Price Uncertainty , 1975 .

[19]  Levis A. Kochin,et al.  War, Prices, and Interest Rates: A Martial Solution to Gibson's Paradox , 1984 .

[20]  A. Zellner,et al.  Time series analysis and simultaneous equation econometric models , 1974 .

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

[22]  P. Cagan Front matter, Determinants and Effects of Changes in the Stock of Money 1875-1960 , 1965 .

[23]  Steven C. Hillmer,et al.  Likelihood Function of Stationary Multiple Autoregressive Moving Average Models , 1979 .

[24]  G. William Schwert,et al.  Tests for Predictive Relationships between Time Series Variables: A Monte Carlo Investigation , 1982 .

[25]  L. Summers,et al.  Gibson's Paradox and the Gold Standard , 1985, Journal of Political Economy.

[26]  Cheng Hsiao,et al.  Autoregressive Modeling of Canadian Money and Income Data , 1979 .

[27]  R. Shiller,et al.  The Gibson Paradox and Historical Movements in Real Interest Rates , 1977, Journal of Political Economy.

[28]  Hirokazu Takada,et al.  Multiple time series analysis of competitive marketing behavior (econometrics, models) , 1998 .

[29]  Heejoon Kang NECESSARY AND SUFFICIENT CONDITIONS FOR CAUSALITY TESTING IN MULTIVARIATE ARMA MODELS , 1981 .