medium · Quantitative Finance

A trader is long 50,000 shares worth of options with a per-share gamma of Gamma = 0.04 and a daily theta of Theta = -1,900. If the stock moves by Δ S = 3 over one day, what is the estimated proft or loss (PnL) from the combined gamma and theta effects?

  1. +$9,000
  2. +$4,100
  3. +$7,100
  4. -$1,900

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