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The short-gamma book, income until it isn't

Asked at DRW, Akuna

You are short a call and you delta-hedge it continuously, so the position is directionally flat. The stock is at S=50S = 50, the option's gamma is Γ=0.04\Gamma = 0.04, and it was sold at an implied volatility of 25%25\%.

Where does your daily P&L come from, and under what condition do you lose money?

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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