High School

Jake owns 1,340 shares of a stock that has a delta of 0.75. How many call options will he need to hedge the position?

A. 5.36
B. 17.87
C. 13.40
D. 100.5

Answer :

Jake will need c) 13.40 call options to hedge the position.

1. Calculate the total delta exposure of Jake's stock position:

  • Delta exposure = Number of shares × Delta
  • Delta exposure = 1,340 shares × 0.75
  • Delta exposure = 1,005

2. Each call option typically represents 100 shares, so the delta of one call option is 0.75 × 100 = 75.

3. Determine the number of call options needed:

  • Number of call options = Delta exposure / Delta per option
  • Number of call options = 1,005 / 75
  • Number of call options ≈ 13.40