please helping me explain and answer those question more specific

1. Consider the discrete-time binomial tree model with three periods of length 1, i.e. T : 3 and t = 0, 1, 2,3. Assume that the factor for moving up is u = 2, the factor for moving down is d = 1/2, and that the interest rate is 'r = 1/10. The probability for moving up is p = 3/4, the probability for moving down (1 p) = 1/4, and the initial stock price is 30 = 10. 1.1 Compute the price process (i.e. prices at all times and states) for an American put option on the stock with strike price K = 10 and maturity T = 3. In which periods should the option be exercised? [25%] l 2 Compute the price at time t O of the following option (Sm_ K)+ with K = 4. Here Sm," denotes the minimum stock price along the path, i. e. 3mm (w): min{.5't (w), t = 0 . . . 3} and Smax denotes the maximum stock price along the path, Smu(w) max{.5't(w), t = 0. . .3} Note: As this option is path dependent, you will not be able to use the recursive method, nor will you be able to use the CR formula. [25%]