4.12. Future prices of a nondividend paying stock are modeled with a 2-period binomial tree, each period being 6 months. You are given: (i) The tree is constructed based on forward prices. (ii) The initial stock price is 100 . (iii) The continuously compounded risk-free interest rate is 6%. (iv) =0.4. An American put option on the stock expiring in one year has strike price 105. Determine the number of shares in the replicating portfolio of the put option at the initial node. 4.12. Future prices of a nondividend paying stock are modeled with a 2-period binomial tree, each period being 6 months. You are given: (i) The tree is constructed based on forward prices. (ii) The initial stock price is 100 . (iii) The continuously compounded risk-free interest rate is 6%. (iv) =0.4. An American put option on the stock expiring in one year has strike price 105. Determine the number of shares in the replicating portfolio of the put option at the initial node