a detailed answer and step by step process with general equations will be greatly appreciated!

Q14. You are to price a butterfly spread on a stock with a Jarrow-Rudd binomial tree. You are given: (i) The butterfly can only be exercised at the end of 6 months. (ii) Let So be the stock price at the end of 6 months. The payoff from the butterfly spread is as follows: Range of So, Payoff S0.5 120 0 (iii) The stock current sells for 100. (iv) The stock's volatility is 0.3. (v) The continuously compounded dividend yield is 3%. (vi) The J-R tree consists of three time steps of 2 months. (vii) The continuously compounded risk-free interest rate is 5%. Calculate the current price of the butterfly spread. Q14. You are to price a butterfly spread on a stock with a Jarrow-Rudd binomial tree. You are given: (i) The butterfly can only be exercised at the end of 6 months. (ii) Let So be the stock price at the end of 6 months. The payoff from the butterfly spread is as follows: Range of So, Payoff S0.5 120 0 (iii) The stock current sells for 100. (iv) The stock's volatility is 0.3. (v) The continuously compounded dividend yield is 3%. (vi) The J-R tree consists of three time steps of 2 months. (vii) The continuously compounded risk-free interest rate is 5%. Calculate the current price of the butterfly spread