hard · FRM Part 1 Financial Markets and Products

In the context of Option Greeks and dynamic hedging, why does a delta-neutral portfolio consisting of short call options and long shares of the underlying stock typically realize losses during a large, rapid market move in either direction?

  1. The theta of the short call position is negative, which steadily erodes portfolio value as time passes.
  2. The delta of a short call position is always positive in sign, which creates a persistent directional bias.
  3. The portfolio has positive gamma exposure, which caps potential gains from the long stock position as prices move.
  4. The portfolio has negative gamma, causing the delta to move against the hedger as the stock price changes.

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