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What Is the Impact of “Volatility Skew” on the Pricing of OTM Puts?

Volatility skew, often a "smile" or "smirk" shape, means that OTM and ITM options are priced with higher implied volatility than ATM options. For puts, this typically means OTM puts have a higher IV (and thus higher premium) than models would suggest, reflecting a higher demand for downside protection.

This makes the purchased put in a collar more expensive.

What Is the Impact of a Net Debit versus a Net Credit on the Collar’s Breakeven Point?
How Does High Volatility Impact Put Option Premiums?
Why Would an Investor Choose an OTM Put over an At-the-Money (ATM) Put?
Does the Volatility Skew Tend to Flatten or Steepen during a Major Market Event?