Q6. Underlying follows lognormal distribution and is current at $100 with annual volatility of 40%. There are three months b/f expiration. Riskfree rate of zero. You construct a long strangle with 75 strike PUT and 125 strike call. You long 10 strangles. Q6a. What is the delta value of the strangle position? (2 points) Q6b. What is the gamma of the position? (2 points) Q6c. What is the vega value for the strangle? (note: vega defined as option value change corresponding to 1 percentage point change in annualized volatility) (2 points) Q6d. Underlying moved down to $95 in one day. IV did not change. What is Pnl due to delta, gamma and theta respectively (2 points)? Q6e. Underlying moved down to $95 in one day. Annualized return standard deviation goes up from 40% to 42% for both put and call. What is the PnL due to vega effect and what is the total Pnl from delta+gamma+theta+vega effects? (2 points) Q6. Underlying follows lognormal distribution and is current at $100 with annual volatility of 40%. There are three months b/f expiration. Riskfree rate of zero. You construct a long strangle with 75 strike PUT and 125 strike call. You long 10 strangles. Q6a. What is the delta value of the strangle position? (2 points) Q6b. What is the gamma of the position? (2 points) Q6c. What is the vega value for the strangle? (note: vega defined as option value change corresponding to 1 percentage point change in annualized volatility) (2 points) Q6d. Underlying moved down to $95 in one day. IV did not change. What is Pnl due to delta, gamma and theta respectively (2 points)? Q6e. Underlying moved down to $95 in one day. Annualized return standard deviation goes up from 40% to 42% for both put and call. What is the PnL due to vega effect and what is the total Pnl from delta+gamma+theta+vega effects? (2 points)