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FLEXIBLE FUNCTIONAL FORMS, CURVATURE CONDITIONS, AND THE DEMAND FOR ASSETS

Published online by Cambridge University Press:  07 May 2007

APOSTOLOS SERLETIS  and
ASGHAR SHAHMORADI
APOSTOLOS SERLETIS
Affiliation:
University of Calgary
ASGHAR SHAHMORADI
Affiliation:
University of Tehran
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Abstract

This paper focuses on the demand for money in the United States in the context of five popular locally flexible functional forms—the generalized Leontief, the basic translog, the almost ideal demand system, the Minflex Laurent, and the normalized quadratic reciprocal indirect utility function. We pay explicit attention to the theoretical regularity conditions of positivity, monotonicity, and curvature and argue that much of the older empirical literature ignores economic regularity. We treat the curvature property as a maintained hypothesis and provide a comparison in terms of violations of the regularity conditions and in terms of output in the form of a full set of elasticities. We also provide a policy perspective, in that a strong case can be made for abandoning the simple sum approach to monetary aggregation, on the basis of the low elasticities of substitution among the components of the popular M2 aggregate of money.

Keywords

Generalized LeontiefTranslogAlmost Ideal Demand SystemMinflex LaurentNormalized Quadratic Reciprocal Indirect Utility Function
Type
ARTICLES
Information
Macroeconomic Dynamics , Volume 11 , Issue 4 , September 2007 , pp. 455 - 486
Copyright
© 2007 Cambridge University Press

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References

Aliprantis Charalambos D., William A. Barnett, Bernand Cornet, and Steven Durlauf 2007 Special issue editors' introduction: The interface between econometrics and economic theory. Journal of Econometrics 136, 325– 329.Google Scholar
Anderson G.I. and RW. Blundell 1982 Estimation and hypothesis testing in dynamic singular equation systems. Econometrica 50, 1559– 1571.Google Scholar
Anderson Richard G. 2006 Replicability, real-time data, and the science of economic research: FRED, ALFRED, and VDC. Federal Reserve Bank of St. Louis Review 88, 81– 93.Google Scholar
Anderson Richard G. and Jason Buol 2005 Revisions to user costs for the Federal Reserve Bank of St. Louis monetary services indices. Federal Reserve Bank of St. Louis Review 87, 735– 749.Google Scholar
Anderson Richard G., B.E. Jones, and T.D. Nesmith 1997a Building new monetary services indexes: Concepts, data and methods. Federal Reserve Bank of St. Louis Review 79, 53– 82.Google Scholar
Anderson Richard G., B.E. Jones, and T.D. Nesmith 1997b Monetary aggregation theory and statistical index numbers. Federal Reserve Bank of St. Louis Review 79, 31– 51.Google Scholar
Barnett William A. 1978 The user cost of money. Economics Letters 1, 145– 149.Google Scholar
Barnett William A. 1980 Economic monetary aggregates: An application of aggregation and index number theory. Journal of Econometrics 14, 11– 48.Google Scholar
Barnett William A. 1983 New indices of money supply and the flexible laurent demand system. Journal of Business and Economic Statistics 1, 7– 23.Google Scholar
Barnett William A. 1997 Which road leads to a stable money demand? The Economic Journal 107, 1171– 1185.Google Scholar
Barnett William A. 2002 Tastes and technology: Curvature is not sufficient for regularity. Journal of Econometrics 108, 199– 202.Google Scholar
Barnett William A., Douglas Fisher, and Apostolos Serletis 1992 Consumer theory and the demand for money. Journal of Economic Literature 30, 2086– 2119.Google Scholar
Barnett William A., John Geweke, and Piyu Yue 1991 Semi-nonparametric Bayesian estimation of the asymptotically ideal model: The AIM demand system. In W. A. Barnett, J. Powell, and G. Tauchen (eds.), Nonparametric and Semiparametric Methods, pp. 127– 173. Cambridge: Cambridge University Press.
Barnett William A. and Yul W. Lee 1985 The global properties of the minflex Laurent, generalized Leontief, and translog flexible functional forms. Econometrica 53, 1421– 1437.Google Scholar
Barnett William A. and Meenakshi Pasupathy 2003 Regularity of the generalized quadratic production model: A counterexample. Econometric Reviews 22, 135– 154.Google Scholar
Barnett William A. and Apostolos Serletis 2000 The Theory of Monetary Aggregation, Contributions to Economic Analysis 245. Amsterdam: North-Holland.
Barten A.P. 1969 Maximum likelihood estimation of a complete system of demand equations. European Economic Review 1, 7– 73.Google Scholar
Berndt E.R. and N.E. Savin 1975 Estimation and hypothesis testing in singular equation systems with autoregressive disturbances. Econometrica 43, 937– 957.Google Scholar
Blackorby C. and R.R. Russell 1989 Will the real elasticity of substitution please stand up? American Economic Review 79, 882– 888.Google Scholar
Chetty V. Karuppan 1969 On measuring the nearness of near-moneys. American Economic Review 59, 270– 281.Google Scholar
Christensen L.R., D.W. Jorgenson, and L.J. Lau 1975 Transcendental logarithmic utility functions. American Economic Review 65, 367– 383.Google Scholar
Davidson R. and J.G. Mackinnon 1993 Estimation and Inference in Econometrics. Oxford: Oxford University Press.
Deaton A. and J.N. Muellbauer 1980 An almost ideal demand system. American Economic Review 70, 312– 326.Google Scholar
de Peretti P. 2005 Testing the significance of the departures from utility maximization. Macroeconomic Dynamics 9, 372– 397.Google Scholar
Diewert W. Erwin 1973 Functional forms for profit and transformation functions. Journal of Economic Theory 6, 284– 316.Google Scholar
Diewert W. Erwin 1974 Applications of duality theory. In M. Intriligator and D. Kendrick (eds.), Frontiers in Quantitive Economics, Vol. 2, pp. 106– 171. Amsterdam: North-Holland.
Diewert W. Erwin and Terence J. Wales 1987 Flexible functional forms and global curvature conditions. Econometrica 55, 43– 68.Google Scholar
Diewert W. Erwin and Terence J. Wales 1988 Normalized quadratic systems of consumer demand functions. Journal of Business and Economic Statistics 6 (1988), 303– 312.Google Scholar
Donovan Donald J. 1978 Modeling the demand for liquid assets: An application to Canada. International Monetary Fund Staff Papers 25, 676– 704.Google Scholar
Drake Leigh and Adrian R. Fleissig 2004 Semi-nonparametric estimates of currency substitution: The demand for sterling in europe. Review of International Economics 12, 374– 394.Google Scholar
Drake Leigh, Adrian R. Fleissig, and Andy Mullineux 1999 Are “risky assets” substitutes for “monetary assets”? Economic Inquiry 37, 510– 527.Google Scholar
Drake Leigh, Adrian R. Fleissig, and James L. Sowfford 2003 A semi-nonparametric approach to the demand for UK monetary assets. Economica 70, 99– 120.Google Scholar
Ewis Nabil A. and Douglas Fisher 1984 The translog utility function and the demand for money in the United States. Journal of Money, Credit and Banking 16, 34– 52.Google Scholar
Ewis Nabil A. and Douglas Fisher 1985 Toward a consistent estimate of the substitutability between money and near monies: An application of the Fourier flexible form. Journal of Macroeconomics 7, 151– 174.Google Scholar
Fisher Douglas and Adrian R. Fleissig 1994 Money demand in a flexible dynamic Fourier expenditure system. Federal Reserve Bank of St. Louis Review 76, 117– 128.Google Scholar
Fisher Douglas and Adrian R. Fleissig 1997 Monetary aggregation and the demand for assets. Journal of Money, Credit and Banking 29, 458– 475.Google Scholar
Fisher I. 1922 The Making of Index Numbers: A Study of Their Varieties, Tests, and Reliability. Boston: Houghton Mifflin.
Fleissig Adrian R. 1997 The dynamic laurent flexible form and long-run analysis. Journal of Applied Econometrics 12, 687– 699.Google Scholar
Fleissig A.R., A.R. Hall, and J.J. Seater 2000 GARP, separability, and the representative agent. Macroeconomic Dynamics 4, 324– 342.Google Scholar
Fleissig Adrian R. and Apostolos Serletis 2002 Semi-nonparametric estimates of substitution for Canadian monetary assets. Canadian Journal of Economics 35, 78– 91.Google Scholar
Fleissig Adrian R. and James L. Swofford 1996 A dynamic asymptotically ideal model of money demand. Journal of Monetary Economics 37, 371– 380.Google Scholar
Fleissig Adrian R. and James L. Swofford 1997 Dynamic asymptotically ideal models and finite approximation. Journal of Business and Economic Statistics 15, 482– 492.Google Scholar
Fleissig Adrian R. and Gerald A. Whitney 2003 A new PC-based test for Varian's weak separability conditions. Journal of Business and Economic Statistics 21, 133– 144.Google Scholar
Fleissig Adrian R. and Gerald A. Whitney 2005 Testing for the significance of violations of Afriat's inequalities. Journal of Business and Economic Statistics 23, 355– 362.Google Scholar
Gallant A. Ronald and Gene H. Golub 1984 Imposing curvature restrictions on flexible functional forms. Journal of Econometrics 26, 295– 321.Google Scholar
Jones B. and P. de Peretti 2005 A comparison of two methods for testing the utility maximization hypothesis when quantity data is measured with error. Macroeconomic Dynamics 9, 612– 629.Google Scholar
Jones B., D. Dutkowsky, and T. Elger 2005 Sweep programs and optimal monetary aggregation. Journal of Banking and Finance 29, 483– 508.Google Scholar
Lau L.J. 1978 Testing and imposing monotonicity, convexity, and quasi-convexity constraints. In M. Fuss and D. McFadden (eds.), Production Economics: A Dual Approach to Theory and Applications, Vol. 1, pp. 409– 453. Amsterdam: North Holland.
Moschini Giancarlo 1999 Imposing local curvature in flexible demand systems. Journal of Business and Economic Statistics 17, 487– 490.Google Scholar
Ryan David L. and Terence J. Wales 1998 A simple method for imposing local curvature in some flexible consumer-demand systems. Journal of Business and Economic Statistics 16, 331– 338.Google Scholar
Serletis Apostolos 1987 The demand for Divisia M1, M2, and M3 in the United States. Journal of Macroeconomics 9, 567– 591.Google Scholar
Serletis Apostolos 1988 Translog flexible functional forms and substitutability of monetary assets. Journal of Business and Economic Statistics 6, 59– 67.Google Scholar
Serletis Apostolos 1991 The demand for Divisia money in the United States: A dynamic flexible demand system. Journal of Money, Credit and Banking 23, 35– 52.Google Scholar
Serletis Apostolos (2007, forthcoming) The Demand for Money: Theoretical and Empirical Approaches, 2nd edition. Springer.
Serletis Apostolos and A. Leslie Robb 1986 Divisia aggregation and substitutability among monetary assets. Journal of Money, Credit and Banking 18, 430– 446.Google Scholar
Serletis Apostolos and Asghar Shahmoradi 2005 Semi-nonparametric estimates of the demand for money in the United States. Macroeconomic Dynamics 9, 542– 559.Google Scholar
Serletis Apostolos and Asghar Shahmoradi (2007, forthcoming) A note on imposing local curvature in generalized Leontief models. Macroeconomic Dynamics 11.Google Scholar
Swofford J.L. and G. Whitney 1987 Nonparametric tests of utility maximization and weak separability for consumption, leisure and money. Review of Economics and Statistics 69, 458– 464.Google Scholar
Swofford J.L. and G. Whitney 1988 A comparison of nonparametric tests of weak separability for annual and quarterly data on consumption, leisure, and money. Journal of Business and Economic Statistics 6, 241– 246.Google Scholar
Swofford J.L. and G. Whitney 1994 A revealed preference test for weakly separable utility maximization with incomplete adjustment. Journal of Econometrics 60, 235– 249.Google Scholar
Varian H.R. 1982 The nonparametric approach to demand analysis. Econometrica 50, 945– 973.Google Scholar
Varian H.R. 1983 Nonparametric tests of consumer behavior. Review of Economic Studies 50, 99– 110.Google Scholar