(a) Calculate the value of a six-month European put futures option when the futures price is $125, the strike price is $120, the risk-free interest rate is 4% per annum with continuous compounding, and the volatility of the futures price is 20% per annum. Use two decimal points for the final answer and four decimal points for the rest of the calculations. (b) If the option in (a) is American, how would you go about pricing that option? Do not proceed to compute the value of the option, but clearly describe your implementation