The effect of non-ideal market conditions on option pricing

Option pricing is mainly based on ideal market conditions which are well represented by the geometric Brownian motion (GBM) as market model. We study the effect of non-ideal market conditions on the price of the option. We focus our attention on two crucial aspects appearing in real markets: the influence of heavy tails and the effect of colored noise. We will see that both effects have opposite and non-trivial consequences on option pricing.