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AN EXTREMELY-LOW-INTEREST-RATE POLICY AND THE SHAPE OF THE JAPANESE MONEY DEMAND FUNCTION

A NONLINEAR COINTEGRATION APPROACH

Published online by Cambridge University Press:  08 October 2009

Kiyotaka Nakashima*
Affiliation:
Konan University
*
Address correspondence to: Kiyotaka Nakashima, Faculty of Economics, Konan University, 8-9-1, Okamoto, Higashinada-ku, Kobe, Hyogo, Zip 658-8501, Japan; e-mail: [email protected].

Abstract

This paper explores the shape of the Japanese money demand function in relation to the historical path of the Bank of Japan's policy rate by employing Saikkonen and Choi's [Econometric Theory 20, 301–340 (2004)] cointegrating smooth transition model. The nonlinear model provides a unified econometric framework, not only for pursuing the time profile of interest elasticity, but also to test the linearity of the Japanese money demand function. The test results for the linearity of the Japanese money demand function provide evidence of nonlinearity with a semilog model and linearity with a double-log model. Using a nonlinear semilog model, the analysis also finds that Japanese money demand comprises three regimes and that the interest semielasticity began to increase in the early 1990s when the Bank of Japan set the policy rate below 3%.

Type
Articles
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Andrews, D. (1991) Heteroskedasticity and autocorrelation consistent covariance matrix estimator. Econometrica 59, 817858.CrossRefGoogle Scholar
Bae, Y. and Jong, R. De (2007) Money demand function estimation by nonlinear cointegration. Journal of Applied Econometrics 22, 767793.CrossRefGoogle Scholar
Bae, Y.V. Kakkar and Ogaki, M. (2006) Money demand in Japan and nonlinear cointegration. Journal of Money, Credit and Banking 38, 16591668.CrossRefGoogle Scholar
Ball, L. (2001) Another look at long-run money demand. Journal of Monetary Economics 47, 3144.CrossRefGoogle Scholar
Cagan, P. (1956) The monetary dynamics of hyperinflation. In Friedman, M. (ed.), Studies in the Quantity Theory of Money, pp. 25117. Chicago: University of Chicago Press.Google Scholar
Carrasco, M. (2002) Misspecified structural change, threshold, and Markov-switching models. Journal of Econometrics. 109, 239273.CrossRefGoogle Scholar
Chang, Y., Park, J., and Phillips, P. (2001) Nonlinear econometric models with cointegrated and deterministically trending regressors. Econometrics Journal 4, 136.CrossRefGoogle Scholar
Choi, I. and Saikkonen, P. (2004) Testing linearity in cointegrating smooth transition regressions. Econometrics Journal 7, 341365.CrossRefGoogle Scholar
Choi, I. and Saikkonen, P. (2005) Test for Nonlinear Cointegration. Mimeo, Department of Mathematics and Statistics, University of Helsinki.Google Scholar
Christopoulos, D. and León-Ledesma, M. (2007) A long-run nonlinear approach to the Fisher effect. Journal of Money, Credit and Banking 39, 543559.CrossRefGoogle Scholar
Dickey, D. and Fuller, W. (1979) Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association 74, 427431.Google Scholar
Elliott, G. (1998) On the robustness of cointegration methods when regressors almost have unit roots. Econometrica 66, 149158.CrossRefGoogle Scholar
Fujiki, H. and Watanabe, K. (2004) Japanese demand for narrow monetary aggregate in the 90s: Time series versus cross-sectional evidence from Japan. Monetary and Economic Studies 22, 4777.Google Scholar
Gregory, A. and Hansen, B. (1996) Residual-based tests for cointegration in models with regime shifts. Journal of Econometrics 70, 99126.CrossRefGoogle Scholar
Hansen, B. (1992) Tests for parameter instability in regressions analysis with I(1) processes. Journal of Business and Economic Statistics 10, 321335.Google Scholar
Hoffman, D. and Rasche, R. (1991) Long-run income and interest elasticities of money demand in the United States. Review of Economics and Statistics 78, 665674.CrossRefGoogle Scholar
Hoffman, D., Rasche, R., and Tieslau, M. (1995) The stability of long-run money demand in five industrial countries. Journal of Monetary Economics 35, 317339.CrossRefGoogle Scholar
Hondroyiannis, G., Swamy, P.A.V.B., and Tavlas, G. (2000) Is the Japanese economy in a liquidity trap? Economic Letters 66, 1723.CrossRefGoogle Scholar
Huang, H., Lin, J., and Cheng, J. (2001) Evidence on nonlinear error correction in money demand: The case of Taiwan. Applied Economics 33, 17271736.CrossRefGoogle Scholar
Johansen, S. (1988) Statistical analysis of cointegrating vectors. Journal of Economic Dynamics and Control 12, 213254.CrossRefGoogle Scholar
Johansen, S. and Juselius, K. (1990) Maximum likelihood estimation and inference on cointegration—With application to the demand for money. Oxford Bulletin of Economics and Statistics 52, 169210.CrossRefGoogle Scholar
Kuo, B. (1998) Test for partial parameter instability in regressions with I(1) processes. Journal of Econometrics 86, 337368.CrossRefGoogle Scholar
Kwiatkowski, D., Phillips, P., Schmidt, P., and Shin, Y. (1992) Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root? Journal of Econometrics 54, 159178.CrossRefGoogle Scholar
Lagos, R. and Wright, R. (2005) A unified framework for monetary theory and policy analysis. Journal of Political Economy 113, 463484.CrossRefGoogle Scholar
Lucas, R. (1988) Money demand in the United States: A quantitative review. Carnegie–Rochester Conference Series on Public Policy 29, 137168.CrossRefGoogle Scholar
Lucas, R. (2000) Inflation and welfare. Econometrica 68, 137168.CrossRefGoogle Scholar
Lütkepohl, H., Teräsvirta, T., and Wolters, J. (1999) Investigating stability of linearity of a German M1 demand function. Journal of Applied Econometrics 14, 511525.3.0.CO;2-C>CrossRefGoogle Scholar
McCallum, B. and Goodfriend, M. (1987) Demand for money: Theoretical studies. In Eatwell, J., Milgate, M., and Newman, P. (eds.), The New Palgrave Dictionary of Economics: Money, pp. 775781. New York: W.W. Norton.Google Scholar
Miyao, R. (2004) Liquidity Traps and the Stability of Money Demand: Is Japan Really Trapped at the Zero Bound? Mimeo, Kobe University.Google Scholar
Nakashima, K. (2008) Ideal and real Japanese monetary policy: A comparative analysis of actual and optimal policy measures. Japanese Economic Review 59, 345369.CrossRefGoogle Scholar
Nakashima, K. and Saito, M. (2006) Uncovering Interest-elastic Money Demand: Evidence from the Japanese Money Market with a Low Interest Rate Policy. Mimeo, Hitotsubashi University.Google Scholar
Park, J. and Phillips, P. (1999) Asymptotics for nonlinear transformations of time series. Econometric Theory 15, 269298.CrossRefGoogle Scholar
Park, J. and Phillips, P. (2001) Nonlinear regressions with integrated time series. Econometrica 69, 117161.CrossRefGoogle Scholar
Phillips, P. and Hansen, B. (1990) Statistical inference in instrumental variables regression with I(1) processes. Review of Economic Studies 57, 99125.CrossRefGoogle Scholar
Phillips, P. and Perron, P. (1988) Testing for a unit root in time series regression. Biometrika 75, 335346.CrossRefGoogle Scholar
Poole, W. (1988) Monetary policy lessons of recent inflation and deflation. Journal of Economic Perspectives 2, 5172.CrossRefGoogle Scholar
Romano, J. and Wolf, M. (2001) Subsampling intervals in autoregressive models with linear time trend. Econometrica 69 12831314.CrossRefGoogle Scholar
Saikkonen, P. (2005) Stability results for nonlinear error correction models. Journal of Econometrics 127, 6981.CrossRefGoogle Scholar
Saikkonen, P. (2008) Stability of regime switching error correction models under linear cointegration. Econometric Theory 24, 294318.CrossRefGoogle Scholar
Saikkonen, P. and Choi, I. (2004) Cointegrating smooth transition regressions. Econometric theory 20, 301340.CrossRefGoogle Scholar
Sarno, L. (1999) Adjustment costs and nonlinear dynamics in the demand for money: Italy, 1861–1991. International Journal of Finance and Economics 4, 155177.3.0.CO;2-A>CrossRefGoogle Scholar
Stock, J. and Watson, M. (1993) A simple estimator of cointegrating vectors in higher order integrated systems. Econometrica 61, 783820.CrossRefGoogle Scholar
Teräsvirta, T. and Eliasson, A. (2001) Nonlinear error correction and the UK demand for broad money, 1878–1993. Journal of Applied Econometrics 16, 277288.CrossRefGoogle Scholar
Wolters, J., Teräsvirta, T., and Lütkepohl, H. (1998) Modelling the demand for M3 in the united Germany. Review of Economics and Statistics 80, 399409.CrossRefGoogle Scholar