Construct a portfolio consisting of risk-free bonds, European call and put options to replicate the payoff function X(S) below. Be specific about how many options of each type are in your portfolio.
X(S)= -3S with S in [0,30) and X(S)= -90 with S in [30,60) and X(S)= 5S-390 with S in [60,90) and X(S)= 60 with S >=90
You portfolio consists of -90 bonds paying $1 on Maturity Date only. Enter the number of additional options you will buy to get the payoff function above.
Put Options with Strike = 90