Hello, please provide detailed proof and analysis.

Problem 1. (10 Points) Consider a 3step binomial tree model (no dividends) with onestep riskfree return 1'" = 0.1, initial stock price 5(0) 2 $50, and parameters is = 0.2 and d = 0.2. (a) (2 points) Find the riskneutral probability p* and draw the stock price binomial tree. (b) (4 points) Determine the binomial pricing tree for the European put and call options with strike price X = $54 and maturity T = 3. (c) (4 points) Determine the binomial pricing tree for the American put and call options with strike price X = $54 and maturity T = 3