Application of Fractal Geometry in Studies of the Bulgarian Financial Market

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Abstract

The present study presents and summarizes in a condensed manner the basic postulates and concepts arising from the principles and ideas of fractal geometry, applied in the field of behavior and dynamics of financial markets. A comparative analysis has been made between the classic financial and statistical indicators for measuring and summarizing a certain state of the financial system, on one hand, and the main quantitative parameters resulting from the fractal analysis, on the other. In the last part, an analysis and test for fractality of the Bulgarian financial market has been made represented by the main stock index – SOFIX.
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分形几何在保加利亚金融市场研究中的应用
本研究以一种简明扼要的方式介绍和总结了分形几何原理和思想中产生的基本假设和概念,并将其应用于金融市场的行为和动态领域。比较分析了衡量和概括金融体系某一状态的经典金融指标和统计指标,以及分形分析得出的主要定量参数。最后,以主要股指SOFIX为代表,对保加利亚金融市场的分形性进行了分析和检验。
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