Rehedging a book after a move

MediumFinance & Derivatives~4m

You are long 100 identical calls and start perfectly delta-hedged. Each call currently has delta $0.45$ and gamma $0.08$ (per $1 move, per share). The stock then jumps up $3. To restore delta-neutrality, how many shares must you now trade - and in which direction? Give the number of shares (a positive number; state the direction in your reasoning).

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Gamma updates delta: $\Delta_{\text{new}}=\Delta_{\text{old}}+\Gamma\,dS$ .
Trade the difference between the new hedge and the one you already hold, not the whole new hedge.

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Rehedging a book after a move

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