Delta-Neutral Share Count

Derivatives & Risk
Options · Delta Hedging
Easy
You are long 100 call option contracts. Each contract represents 100 shares and each option has delta 0.60. How many shares should you trade to become delta-neutral?
Hint 1

Total delta exposure equals contracts times shares per contract times per-option delta.

Hint 2

To be delta-neutral, the share position must offset this exposure with the opposite sign.

Show worked solution
  1. 1. Compute total delta exposure

    Total shares equivalent shares of long exposure.

  2. 2. Offset the exposure

    To neutralize 6000 shares of long delta exposure from the calls, short 6000 shares of the underlying stock.

Answer: Short 6000 shares

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