Assume that the volatility of Vista Outdoor (ticker: VSTO) stock is \\\\sigma = 35% per year.\ A) \ (i) Based on formulas you learned in this course ONLY (when we covered Week 11 Options topics), can you compute *todays* value of the following option on VSTO stock?\ - EUROPEAN CALL option on VSTO stock with the exercise price that makes the option out of money by $3 today and maturity of *exactly* 1 year from today\ (Dont forget to list ALL the input values: S,X,T,r,\\\\sigma ; as well as mention todays date.)\ (ii) Based on formulas you learned in this course ONLY (when we covered Week 11 Options topics), can you compute *todays* value of the following option on VSTO stock?\ - EUROPEAN PUT option on VSTO stock with the exercise price that makes the option out of money by $3 today and maturity of *exactly* 1 year from today\ (Dont forget to list ALL the input values: S,X,T,r,\\\\sigma ; as well as mention todays date.)\ (iii) Underline the correct option and explain in 1-2 sentences:\ AMERICAN CALL option with exactly the same parameters as the option analyzed in part (i) would have greater/equal/lower value than the value of the option analyzed in part (i).\ (iv) Underline the correct option and explain in 1-2 sentences:\ AMERICAN PUT option with exactly the same parameters as the option analyzed in part (ii) would have greater/equal/lower value than the value of the option analyzed in part (ii).