You have a stock in the three-period binomial model such that S0 = 4, S1(H) = 8, S1(T) = 2, and r = 0.25. Give the full value trees for each of the following derivative securities:

1. A 3-period strike-$6 European call. Use Cn instead of Vn for the value of the call.

2. A 3-period strike-$6 European put. Use Pn instead of Vn for the value of the put.

3. A 3-period forward contract with delivery price $6. Use Fn instead of Vn for the value of the forward contract.

4. Verify that Fn = Cn Pn in all states.