Writing naked options (selling naked options) is usually subject to initial margin requirements. The initial margin that is required by the CBOE for a written put option is the greater of two values:

• A total of 100% of the option’s premium plus 20% of the underlying price less the amount by which the option is out of the money (OTM), if any.
• A total of 100% of the option’s premium plus 10% of the exercise price.

In equation form, that can represented as:

(1) Initial margin = (number of options × contract volume) × (premium+ 20% × current underlying price – OTM amount)

(2) Initial margin = (number of options × contract volume) × (premium+ 10% × exercise price)

Consider an investor who writes five naked put option contracts on a share of stock. The option price is $4, the stock price is currently trading at $52, and the exercise (strike) price is $55. The initial margin for this put is the greater of two calculations:

1 – Since the put option is in the money:

Initial margin = (5 × 100) × (4+ 20% × 52 – 0) = $7,200

2- Since the option’s moneyness is irrelevant, so:

Initial margin = (5 × 100) × (4+ 10% × 55) = $4,750

Therefore, the initial margin requirement is max ($7,200, 4,750) = $7,200