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This study sought to find out whether there is any significant relationship between the in trading volume shares of Syrian companies listed in the Damascus market Securities Exchange, and Volatility of stock returns monthly in that market, during t he period 1-1- 2010 till 31-8-2014, and to discover what kind of that relationship (positive or negative correlation) in order to give appropriate weight to them for interpreting fluctuations in the volume of trading in the stock Damascus market Securities Exchange, or for predicting. When using the method of Nonlinear regression analysis method GARCH(1,1) to process the data related to Return on the stock in DSE we found that the relationship between the trading volume shares and volatility of stock returns wasn't statistically significant. This volatility in stock returns mustn't be taken into account as an important factor when trying to explain the reasons for fluctuations in trading volume market or when predicting.
The general index of the financial market of the important economic indicators in any country is being reflects the economic situation and economic activity in the country, so attention must be appropriate methods for predicting the performance o f this indicator in the future and look at the factors that affect in it . This study aimed to the conclusion based, follow Box-Jenkins methodology for building predictive models ARMA (p, q) and check models" residuals, and predict the performance of the general index of Damascus Securities Exchange DWX, as well as the volume of trading in this market, and studying the impact of the relationship between them .
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