answer both questions for an upvote

Assume the Black-Scholes framework for a non-dividend paying stock that has a current price of 100. For a 1-year at-the-money call option on the stock, you are given: i. The current price of the call option is 6.61. ii. The delta of the call option is 0.422. iii. The gamma of the call option is 0.092. You purchased a 1-year at-the-money call option and a 1-year at-the-money put option. The continuously compounded risk-free interest rate is 4%. Using the delta-gamma approximation, estimate your profit 6 months later given that the stock price rises to 110 at that time. Possible Answers Less than 5 * At least 5 but less than 6 At least 6 but less than 7 D At least 7 but less than 8 E At least 8 Assume the Black-Scholes framework. Which of the following statement(s) concerning the Greeks of a long position of a European put on a stock is(are) correct? i) Gamma is always positive ii) Theta is always negative iii) Psi is always negative Possible Answers A i) only Bii) only C iii) only Di) and ii) only E i) and iii) only