Financial Applications of Benford’s Law - A Mathematical Approach for Analyzing Financial Market Behaviour

Sammanfattning: The increasing usage of algorithms and extensive collections of data have changed the discipline of finance and created new possibilities for analyzing the financial markets. To further explore the potential of developing new methods for understanding financial market behaviour, this thesis examines the first digit probability distribution of Benford's Law and its applicability within the financial markets. The research investigates various indices', equities', and technical analysis tools' conformity to Benford's Law by using relative price changes and volume traded. It was found that both indices and equities exhibit resemblance with Benford's Law, whereas technical analysis tools did not. In addition, the relevance of data frequency was explored, but it was deemed not to have any effect on conformity found. In an attempt to apply the findings, a regression analysis was conducted to forecast volatility. However, even though correlation was found, the regression model failed to predict future volatility accurately.