Assume XYZ stock is currently at S = $100. After one period, the price will move to one of the following two values: [uS and dS], where [u = 1.2; d = 0.9]. A $1.00 investment in the risk-free asset using continuous compounding will return $1.10 at the end of the period.

(a) Find the risk-neutral probabilities governing the movement of the stock price.

(b) For a strike price of 100 for call, find the delta of the call.

c) For a strike of 100 for put, find the delta of the put.

d) Compute the difference between the call delta and the put delta and explain the answer you Get.