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Abstract:

The dynamics of hyperinflation episodes is studied by applying a theoretical approach based on collective "adaptive inflation expectations" with a positive nonlinear feedback proposed in the literature. In such a description it is assumed that the growth rate of the logarithmic price, r (t), changes with a velocity obeying a power law which leads to a finite-time singularity at a critical time tc. By revising that model we found that, indeed, there are two types of singular solutions for the logarithmic price, p (t). One is given by the already reported form p (t) (tc -t) -α (with α>0) and the other exhibits a logarithmic divergence, p (t)ln [1/ (tc -t)]. The singularity is a signature for an economic crash. In the present work we express p (t) explicitly in terms of the parameters introduced throughout the formulation avoiding the use of any combination of them defined in the original paper. This procedure allows to examine simultaneously the time series of r (t) and p (t) performing a linked error analysis of the determined parameters. For the first time this approach is applied for analyzing the very extreme historical hyperinflations occurred in Greece (1941-1944) and Yugoslavia (1991-1994). The case of Greece is compatible with a logarithmic singularity. The study is completed with an analysis of the hyperinflation spiral currently experienced in Zimbabwe. According to our results, an economic crash in this country is predicted for these days. The robustness of the results to changes of the initial time of the series and the differences with a linear feedback are discussed. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Finite-time singularities in the dynamics of hyperinflation in an economy
Autor:Szybisz, M.A.; Szybisz, L.
Filiación:Departamento de Economía, Facultad de Ciencias Económicas, Universidad de Buenos Aires, Av. Córdoba 2122, RA-1120 Buenos Aires, Argentina
Laboratorio TANDAR, Departamento de Física, Comisión Nacional de Energía Atómica, Av. del Libertador 8250, RA-1429 Buenos Aires, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, RA-1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Av. Rivadavia 1917, RA-1033 Buenos Aires, Argentina
Palabras clave:Critical time; Finite time singularity; Initial time; Linear feedback; Logarithmic divergence; Logarithmic singularity; Nonlinear feedback; Power law; Singular solutions; Theoretical approach; Yugoslavia; Zimbabwe; Error analysis; Time series; Time series analysis
Año:2009
Volumen:80
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevE.80.026116
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n2_p_Szybisz

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Citas:

---------- APA ----------
Szybisz, M.A. & Szybisz, L. (2009) . Finite-time singularities in the dynamics of hyperinflation in an economy. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(2).
http://dx.doi.org/10.1103/PhysRevE.80.026116
---------- CHICAGO ----------
Szybisz, M.A., Szybisz, L. "Finite-time singularities in the dynamics of hyperinflation in an economy" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 2 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.026116
---------- MLA ----------
Szybisz, M.A., Szybisz, L. "Finite-time singularities in the dynamics of hyperinflation in an economy" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 2, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.026116
---------- VANCOUVER ----------
Szybisz, M.A., Szybisz, L. Finite-time singularities in the dynamics of hyperinflation in an economy. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(2).
http://dx.doi.org/10.1103/PhysRevE.80.026116