Consider a binomial model with u = 1.02,d = 100 102, δ = 0 and interest rate r of 5% a year, compounded continuously. Using T = 1 maturity of one year, initial stock price S(0) = 100 and N = 4 periods, and the premium of the European Put PE(K) for K = 100,103,106,109. You’re encouraged to use a computer to do this faster. Create a plot and verify that the resulting map K 7→ PE(K) satis?es all the no-arbitrage conditions of Chapter 9 (bounds + convexity + slope restrictions).