The Deep In The Money Covered Call's maximum profit is the extrinsic value of the short call options. This happens as long as the price of the stock remains above the strike price of the call options all the way to expiration of the short call options.s you can see from above, the maximum profit potential for a regular covered call is way higher than the maximum profit potential of the Deep In The Money Covered Call due to the room given for the stock to appreciate in value as well as the much much higher extrinsic value of the out of the money call options.