Chaotic analysis of US money and velocity measures

This paper uses tools from dynamical systems theory to investigate the properties of US money and velocity series. Comparisons are made between simple-sum, Divisia and currency equivalent aggregates (of M1, M2, M3, and L), using the Anderson et al. monthly data (from January 1960 to June 1996).

[1]  William A. Barnett,et al.  A single-blind controlled competition among tests for nonlinearity and chaos , 1996 .

[2]  Philip Rothman,et al.  Comment on “Nonlinear Monetary Dynamics” by DeCoster and Mitchell , 1994 .

[3]  Lawrence J. Christiano Money and the U.S. economy in the 1980s: a break from the past? , 1986 .

[4]  Douglas W. Mitchell,et al.  Nonlinear Monetary Dynamics , 1991 .

[5]  W. Brock,et al.  Is the business cycle characterized by deterministic chaos , 1988 .

[6]  Halbert White,et al.  On learning the derivatives of an unknown mapping with multilayer feedforward networks , 1992, Neural Networks.

[7]  William A. Barnett,et al.  Robustness of nonlinearity and chaos tests to measurement error, inference method, and sample size , 1995 .

[8]  A. Gallant,et al.  Estimating the Lyapunov Exponent of a Chaotic System with Nonparametric Regression , 1992 .

[9]  Walter Diewert,et al.  Exact and superlative index numbers , 1976 .

[10]  A. Gallant,et al.  Finding Chaos in Noisy Systems , 1992 .

[11]  J. Poterba,et al.  Money, Output and Prices: Evidence from a New Monetary Aggregate , 1991 .

[12]  Barry E. Jones,et al.  Monetary aggregation theory and statistical index numbers , 1996 .

[13]  William A. Barnett,et al.  The user cost of money , 1978 .

[14]  Philip Rothman,et al.  The Statistical Properties of Dimension Calculations Using Small Data Sets: Some Economic Applications , 1990 .

[15]  Apostolos Serletis,et al.  Random Walks, Breaking Trend Functions, and the Chaotic Structure of the Velocity of Money , 1995 .

[16]  R. Gencay,et al.  An algorithm for the n Lyapunov exponents of an n -dimensional unknown dynamical system , 1992 .

[17]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[18]  William A. Barnett,et al.  Consumer Theory and the Demand for Money , 2000 .

[19]  Julio J. Rotemberg,et al.  Commentary: Monetary Aggregates and their Uses , 1991 .

[20]  G. Schwarz Estimating the Dimension of a Model , 1978 .