As an option trader on GM stock, you have collected the following information: (1) GM stock's current price is S=$100. (2) GM's future prices follow a two-state path with u=1.1052 (in Up state) and d=0.9048 (in Down state) in each period. (3) The one-period riskfree holding period return is R=1.01. Consider two American options on GM stock (a Put and a Call), both have a strike price of $110 and 5 periods before expiration. (a) What is the value of the American Put today? Show your work. (b) What is the value of the American Call today? Show your work