Question No. 3 (20 Marks) (a) In consideration of Brownian motion and Weiner process. Consider the geometric Weiner process: S = Soe(-)t+ow a. Under what assumption you can calculate dSt. Also Estimate it using the formula. b. What is the Drift rate in S? c. Considering the exponential term if we exclude the volatility adjustment term then what would be the value of drift that is dS,? What would be the level of change in S.? (b) Due to the bullish trend of the market in underlying stock of option which is trading at $75. Based on the market estimate you opt for one call option with strike price of $70 and selling at $7.5, and one short call option with a strike price of $80 and selling at $3. The expiration on both cases is 6 months. a. What should be your strategy under the such scenario explain? b. What would be the position at the expiration and what would be the value the profit if price is $79, $88, and $70 Question No. 3 (20 Marks) (a) In consideration of Brownian motion and Weiner process. Consider the geometric Weiner process: S = Soe(-)t+ow a. Under what assumption you can calculate dSt. Also Estimate it using the formula. b. What is the Drift rate in S? c. Considering the exponential term if we exclude the volatility adjustment term then what would be the value of drift that is dS,? What would be the level of change in S.? (b) Due to the bullish trend of the market in underlying stock of option which is trading at $75. Based on the market estimate you opt for one call option with strike price of $70 and selling at $7.5, and one short call option with a strike price of $80 and selling at $3. The expiration on both cases is 6 months. a. What should be your strategy under the such scenario explain? b. What would be the position at the expiration and what would be the value the profit if price is $79, $88, and $70