Yeah, that's the basics of option pricing. The price of an option = intrinsic value + time value. Intrinsic value is always equal to zero or greater. Prior to expiry, time value is always greater than zero, although it can asymptotically approach zero. When you exercise an option, you only get the intrinsic value. The time value is destroyed. Hence, as you said, the market price of an in the money option will always be greater than the profit to be gained from its exercise - although of course they converge as the option approaches expiry. So unless you're really really close to expiry, it's always better to sell an option than to exercise it.
I've said it before and I'll say it again, financial literacy on this board is really really poor. This is really basic undergraduate stuff.
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