A European lookback option is a path-dependent option whose payo at maturity depends on the maximum/minimum price of the underlying asset before maturity. There are two types of lookback options, namely xed strike and oating strike. The payo at maturity T for the xed strike call option is (MT K)+,and the payo at maturity T for the oating strike call option is ST mT, where MT = max 0tT{St} and mT = min 0tT{St}. Assume the price of the underlying asset follows Geometric Brownian motion with S0 = 90, r = 2%, = 20%. Also assume K = 100,T = 1. Use n = 100,000 samples to simulate the prices of both oating strike call option and xed strike call opton, and create 95% condence intervals for both.