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5876数理金融困难数值题short

The Daily Move That Breaks Even On Gamma

题目

For a delta-hedged long option, the gamma gain 0.5·gamma·dS^2 exactly offsets the daily theta 0.5·gamma·S^2·sigma_impl^2·dt when the absolute daily move dS equals the implied break-even move. For S = 100, implied vol 18%, and dt = 1/252, what is that break-even daily move in points, to four decimals?

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