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That's actually a complex question. You are asking about two topics known as implied volatility and volatility skew.

Volatility skew is a subject that confuses most novice options traders. There isn't much out there that I can recommend about skew, but I did come across this piece a few months ago. It should help give you a better understanding of the concept:

http://www.theoptionsinsider.com/tradingtechnology/?id=112


As for implied volatility, in a nutshell, volatility = fear. When the broad market rallies after a steep drop, that fear eases and volatility premiums decrease. I would also recommend that you investigate options activity in that particular options strike. There might have been a large institutional seller that depressed options premiums on that strike.
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