Confidence Interval for Solutions of the Black-Scholes Model

The forecast is very complex in financial markets. The reasons for this are the fluctuation of financial data, Such as Stock index data over time. The determining a model for forecasting fluctuations, can play a significant role in investors deci-sion making in financial markets. In the present paper, the Black Scholes model in the prediction of stock on year later value, on using data from mellat Bank and Ansar Bank shares in the year ۲۰۱۷-۲۰۱۸, in has been evaluated, and using a numerical method Euler Murayama and computer simulation with the Maple software, for simulated data, gained averages and Standard deviations, confidence interval and their normal histogram are plotted. Also, average of the answers obtained from computer simulations is compared with actual ones, and after ana-lyzing and reviewing the results, performance of the Black-Scholes model has been measured, in stock value prediction. And in the end, this research is com-pared with internal article, and suggestions for future research are raised.

Keywords:

The asset valuation models , Confidence interval , Black Scholes model , Stochastic differential equations