An Extremely Low Interest Rate Policy and the Shape of the Japanese Money Demand Function: A Nonlinear Cointegration Approach

Nakashima, Kiyotaka (2008): An Extremely Low Interest Rate Policy and the Shape of the Japanese Money Demand Function: A Nonlinear Cointegration Approach. Published in: Macroeconomic Dynamics , Vol. 13, No. 5 (2009): pp. 553-579.

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 (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 semi-log model and linearity with a double-log model. Using a nonlinear semi-log model, the analysis also finds that Japanese money demand comprises three regimes and that the interest semi-elasticity began to increase in the early 1990s when the Bank of Japan set the policy rate below 3%.

• Item Type: MPRA Paper
• Language: English
• Keywords: Money Demand; Low-Interest-Rate Policy; Nonlinear Cointegration; Smooth Transition Model
• Subjects: E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E41 - Demand for Money; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy

References

Andrews, D., 1991, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator, Econometrica, 59, 817--858.

Bae, Y., and De Jong, R., 2007, Money Demand Function Estimation by Nonlinear Cointegration, Journal of Applied Econometrics, 22, 767--793.

Bae, Y., Kakkar, V., and Ogaki, M., 2006, Money Demand in Japan and Nonlinear Cointegration, Journal of Money, Credit and Banking, 38, 1659--1668.

Ball, L., 2001, Another Look at Long-run Money Demand, Journal of Monetary Economics, 47, 31--44.

Cagan, P., 1956, The Monetary Dynamics of Hyperinflation, in Studies in the Quantity Theory of Money, ed. Friedman, M., Chicago: University of Chicago Press.

Carrasco, M., 2002, Misspecified Structural Change, Threshold, and Markov-switching Models, Journal of Econometrics, 109, 239--273.

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, 427--431.

Chang, Y., Park, J., and Phillips, P., 2001, Nonlinear Econometric Models with Cointegrated and Deterministically Trending Regressors, Econometrics Journal, 4, 1--36.

Choi, I., and Saikkonen, P., 2004, Testing Linearity in Cointegrating Smooth Transition Regressions, Econometrics Journal, 7, 341--365.

Choi, I., and Saikkonen, P., 2005, Test for Nonlinear Cointegration, mimeo.

Christopoulos, D., and Leon-Ledesma, M., 2007, A Long-run Nonlinear Approach to the Fisher Effect, forthcoming in Journal of Money, Credit and Banking.

Elliott, G., 1998, On the Robustness of Cointegration Methods when Regressors Almost Have Unit Roots, Econometrica, 66, 149--158.

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, 47--77.

Gregory, A., and Hansen, B., 1996, Residual-based Tests for Cointegration in Models with Regime Shifts, Journal of Econometrics, 70, 99--126.

Hansen, B., 1992, Tests for Parameter Instability in Regressions Analysis with I(1) Processes, Journal of Business and Economic Statistics, 10, 321--335.

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, 665--674.

Hoffman, D., Rasche, R., and Tieslau, M., 1995, The Stability of Long-run Money Demand in Five Industrial Countries, Journal of Monetary Economics, 35, 317--339.

Hondroyiannis, G., Swamy, P.A.V.B., and Tavlas, G., 2000, Is the Japanese Economy in a Liquidity Trap?, Economic Letters, 66, 17--23.

Huang, H., Lin, J., and Cheng, J., 2001, Evidence on Nonlinear Error Correction in Money Demand: The Case of Taiwan, Applied Economics, 33, 1727--1736.

Johansen, S., 1988, Statistical Analysis of Cointegrating Vectors, Journal of Economic Dynamic and Control, 12, 213--254.

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, 169--210.

Kuo, B., 1998, Test for Partial Parameter Instability in Regressions with I(1) Processes, Journal of Econometrics, 86, 337--368.

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, 159--178.

Lagos, R., and Wright, R., 2005, A Unified Framework for Monetary Theory and Policy Analysis, Journal of Political Economy, 113, 463--484.

Lucas, R., 1988, Money Demand in the United States: A Quantitative Review, Carnegie--Rochester Conference Series on Public Policy, 29, 137--168.

Lucas, R., 2000, Inflation and Welfare, Econometrica, 68, 137--168.

Lutkepohl, H., Terasvirta, T., and Wolters, J., 1999, Investigating Stability of Linearity of a German M1 Demand function, Journal of Applied Econometrics, 14, 511--525.

McCallum, B., and Goodfriend, M., 1989, Demand for Money: Theoretical Studies, in The New Palgrave Dictionary of Economics: Money, ed. Eatwell, J., Milgate, M., and Newman, P., New York: W.W. Norton.

Miyao, R., 2004, Liquidity Traps and the Stability of Money Demand: Is Japan Really Trapped at the Zero Bound?, Mimeo, Kobe University.

Nakashima, K., 2006, Ideal and Real Japanese Monetary Policy: A Comparative Analysis of Actual and Optimal Policy Measures, forthcoming in Japanese Economic Review.

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.

Park, J., and Phillips, P., 1999, Asymptotics for Nonlinear Transformations of Time Series, Econometric Theory, 15, 269--298.

Park, J., and Phillips, P., 2001, Nonlinear Regressions with Integrated Time Series, Econometrica, 69, 117--161.

Phillips, P., and Hansen, B., 1990, Statistical Inference in Instrumental Variables Regression with I(1) Processes, Review of Economic Studies, 57, 99--125.

Phillips, P., and Perron, P., 1988, Testing for a Unit Root in Time Series Regression, Biometrika, 75, 335--346.

Poole, W., 1988, Monetary Policy Lessons of Recent Inflation and Deflation, Journal of Economic Perspectives, 2, 51--72.

Romano, J., and Wolf, M., 2001, Subsampling Intervals in Autoregressive Models with Linear Time Trend, Econometrica, 69, 1283--1314.

Saikkonen, P., 2005, Stability Results for Nonlinear Error Correction Models, Journal of Econometrics, 127, 69--81.

Saikkonen, P., 2008, Stability of Regime Switching Error Correction Models under Linear Cointegration, Econometric Theory, 24, 294--318.

Saikkonen, P., and Choi, I., 2004, Cointegrating Smooth Transition Regressions, Econometric Theory, 20, 301--340.

Sarno, L., 1999, Adjustment Costs and Nonlinear Dynamics in the Demand for Money: Italy, 1861--1991, International Journal of Finance and Economics, 4, 155--177.

Stock, J., and Watson, M., 1993, A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems, Econometrica, 61, 783-820.

Terasvirta, T., and Eliasson, A., 2001, Nonlinear Error Correction and the UK Demand for Broad Money, 1878--1993, Journal of Applied Econometrics, 16, 277--288.

Wolters, J., Terasvirta, T., and Lutkepohl, H., 1998, Modelling the Demand for M3 in the United Germany, Review of Economics and Statistics, 399--409.