5. Consider a Binomial Lattice model with the following parameters: Number of periods: n = 4. Current stock price: S = 300. Up-factor: u = 1.1224. Down-factor: d = 0.8909. Interest rate per period: r = 0.0067 (i.e. R = 1.0067). Find the no-arbitrage price for each of the following options. If a strike price is involved in the option, assume it is K = 310. Please present all your intermediate calculations on a tree diagram or a table. (a) American Chooser Option: At any period, you can choose whether to exercise. If you decide to exercise, you can choose to exercise either as exercising a call, or as exercising a put. Answer. (b) Bermudan Call Option: A call that can be exercised at period 2 or period 4. Answer. (c) "Double or nothing" Option: This is a call option that can only be exercised at period 2 or 4 as described next. If the option is in the money at period 2, it must be exercised. If not, then the payoffs at period 4 double. Answer.