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Q3. You short 100x ATM straddles with 28 trading days left. Underlying at $1000 currently, with annual IV of $300. (15 points) Q3a. What

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Q3. You short 100x ATM straddles with 28 trading days left. Underlying at $1000 currently, with annual IV of $300. (15 points) Q3a. What is the delta and gamma value of the position? (5 points) Q3b. What is the one-day theta value for the position? Is it positive or negative? (5 points) Q3c. If underlying goes down by $10 in one day, what is the delta / gamma / theta PnL, as well as the total PnL for the position? (5 points)? (hint: total PnL is the sum of PnL from a. delta; b. gamma; c. theta)

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