application of binomial tree in calculating the risk sensitivity parameters and option price in stock exchange

different areas of modern financial tools and processes activities contain the matters like innovations in financial tools engineering and risk management. derivatives and especially stock exchange option is part of this innovation. among all numerical procedures in calculating the value of derivatives and the risk sensitivity parameters of option, binomial models are widely used. in this study, call and put option prices and the parameters include delta, gamma, vega, theta and rho are calculated for 37 active companies in autumn 2012 by binomial model. at first, based on the final prices in winter 2012, volatility of stock estimated as the standard deviation of the return provided by the stock of each companies and option contract is written on stock of the companies with a maturity of 6 months (expired in 22 september 2013). by analyzing the model outputs and surveying the movement and changes in stock price and option price by binomial model and also measuring option price sensitivity to the changes (changes in stock prices, delta, volatility, expiration time and interest rate) the risk management of trading positions taken by investors will be expressed.