Abstract:

F. Black and M. Scholes model comprise the adequate approach to the European options assessment in case when the process of risk asset price change is described by Samuelson model. The paper reports, that in case of the volatility dependence on the price increments, the results differ from the Black-Scholes model, which assumes that the stock price in a short period has a normal distribution. In this case authors recommend applying the imperfect hedge methods