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.