Monetary Datum Fractal Analysis Using the Time Series Theory

Author:

Paun Maria-Alexandra1ORCID,Paun Vladimir-Alexandru2,Paun Viorel-Puiu34ORCID

Affiliation:

1. Division Radio Monitoring and Equipment, Section Market Access and Conformity, Federal Office of Communications (OFCOM), 2501 Bienne, Switzerland

2. Five Rescue Research Laboratory, 75004 Paris, France

3. Physics Department, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania

4. Academy of Romanian Scientists, 50085 Bucharest, Romania

Abstract

The paper will allow the interpretation of exchange rate fluctuations for several international currencies, the EUR—European currency and the CHF—Swiss Franc, respectively. The fractal dimension versus box-counting dimension, together with the fractal dimension versus log scale for CHF and EUR, respectively, are thoroughly presented. The exchange rate time series for CHF and EUR during March–June 2022 were also analyzed. The Hurst exponent H was numerically evaluated. By the application of directional symmetry (DS) statistics, the model efficiency in predicting the direction modification of time series has been verified. Ultimately, the prognosis of EUR-RON and CHF-RON exchange rates of the time series fluctuations for the last months (August–December) of the year 2022 was performed.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference20 articles.

1. How long is the coast of Britain? Statistical self-similarity and fractional dimension;Mandelbrot;Science,1967

2. Falconer, K. (2004). Fractal Geometry: Mathematical Foundations and Applications, John Wiley & Sons.

3. (2023, March 15). National Bank of Romania. Available online: https://www.google.com/search?client=firefox-b-d&q=RBN+Annual+Report2022Overview.

4. Mandelbrot, B.B. (1983). The Fractal Geometry of Nature, WH Freeman.

5. Financial Data Analysis Using Nonlinear Time Series Methods. Fluctuations Interpretation of Foreign Currency Exchange Rates;Ciucu;Univ. Politeh. Buchar. Sci. Bull. Ser. A Appl. Math. Phys.,2015

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