You are given the following information about the S\&P500 index: Current price =$1000 Risk-free rate =4% convertible semiannually Price for 6-month options: (i) Which of the following spot prices at expiration has the largest loss for a purchased straddle created with at-the-money options? A. $950 B. $980 C. $1000 D. $1020 E. \$1050 (ii) The spot price at expiration is $1020. What is the profit for a purchased $950$1050 strangle? (iii) The spot price at expiration is $1020. What is the profit for a purchased $950$1000$1050 buttery? (iv) A $950$1020$1050 asymmetric buttery is created by selling 10 call options at $1020-strike plus buying or selling the necessary options at $950-strike and $1050-strike. The spot price at expiration is $960. Calculate the buttery's profit