The effect of value of small-volume transactions on the TEDPIX of Iran

The value of small-vlume transactions stock (shares + preemptive rights + shares ETF) is obtained by deducting the value of block transactions from the value of total transactions in the Iranian Stock Exchange. This research includes two main parts. Considering the importance of the Black-Scholes price model in financial mathematics, using deep mathematical tools such as nonlinear analysis, stochastic analysis, Ito's lemma and the Radon-Nikodym derivative, a theoretical mathematical result was obtained regarding the Black-Scholes price model. we found Theorem 1 in chapter (4) is actually a deep theoretical mathematical relationship for predicting the price in the future. Also, the results of this theorem were used to investigate the trend of the value of small stock transactions in the Iranian stock market in the future time frames. The second topic we discuss in this article is to investigate the impact of changes in the value of small-vlume transactions stock on Tedpix of the Iranian stock market, using modeling and mathematical tools, including the Black-Scholes model, financial technical analysis tools, statistical methods and the Hurst test.
Usually, mathematical and computational tools use stock price data to predict the trend of financial markets. Also, the number of traded shares of a stock company can be an indicator to identify the entry point for buying or the exit point for selling. Considering the extreme price fluctuations in the last few years in the Iranian stock market and the difficulty of setting a ceiling for the price, as well as the existence of processes such as capital increases in company assemblies that change the total number of tradable shares of a company, the importance of using data on the value of small stock transactions It is revealed as a combination of price and number of shares data.
In this study, in a period of about seventeen months (in which the most severe fluctuations in the history of the Iranian Stock Exchange occurred), weekly information on the average value small-volume transactions has been examined. The results of this research confirm that with the increase or decrease of the total index of the Iranian stock market, we see a similar trend in the value small-volume transactions. We also showed that the value of small stock trades is trending by using the Hurst test.