Use a three-period binomial model for this question. A stock has a current price of $75 and volatility is 20% over any period. The risk-free rate is 1% per period. a) Calculate the current value of a European Call option which has a strike price of $70. b) Calculate the current value of a European Call option, where the parties to the trade agree that the option payout at maturity will not exceed $40. c) Would American style options with the same details as above have any additional value over the European versions? d) Now, consider the specifications in (a) and find the current value of a knock-in option with a barrier level of $91. The knock-in is a European Call. e) Now, consider the specifications in (a) and find the current value of a binary option with a cash payout for in-the-money options of $25. This is a European Call