The payoffs from lookback options depend on the maximum or minimum asset price during the life of the option. The payoff of a floating lookback put is the amount by which the maximum asset price achieved during the life of the option exceeds the final asset price. If the stock price is $30, the volatility is 20%, and the risk-free interest rate is 5%, what is the price of a floating look back put option on this stock which matures after 3 months (assume 60trading days). Use simulation to answer this question. Do 1000 simulations.