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Why is early exercise generally not recommended for an in-the-money option?
For a deep in the money, it almost makes no difference because the intrinsic value, the price of the option, is seldom far above the liquidation value, the price of the underlying less the strike price. For an at the money, ceteris paribus, an early exercise would immediately cut the value of the option to 0; however, life is not so simple as JB King has shown. Purely theoretically, for an at or near the money option, an early exercise will be an instantaneous cost because the value after exercise is less than the previously trading or implied option price.