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In theory, the Black-Scholes model assumes constant volatility across all strikes. In practice, this is rarely observed. Instead, implied volatility often varies with the strike price. When plotted, this relationship forms either a smile (U-shaped) or a skew (downward-sloping curve).
Volatility Smile: Implied volatility is higher for deep ITM and deep OTM options, forming a U-shape.
Volatility Skew: A more common pattern, where OTM puts have higher IVs than OTM calls.
These patterns reflect investor behavior. For example, puts tend to trade at higher implied volatilities due to demand for downside protection.
Chart: Implied Volatility Smile and Skew
Inside the Implied Volatility Smile 5
Why It Matters
This smile pattern challenges the core assumptions of classical models. Moreover, the smile isn’t static—it evolves with time, spot price, and broader market sentiment. Understanding the smile is key for:
Structuring volatility-based trades.
Hedging portfolios.
Enhancing model calibration for accurate pricing.
Practical Applications: Trading the Smile
Traders use smile insights to adjust strike selection, optimize spreads, or exploit relative mispricings. For example, recognizing a steep downside skew might lead a trader to sell OTM puts and buy closer-to-the-money puts to build a put ratio spread with favorable risk-reward.
Conclusion: Reading Between the Strikes
The implied volatility smile is more than just a quirk—it’s a reflection of market psychology and risk aversion. Recognizing its shape and dynamics allows traders to position themselves more intelligently, making it a fundamental concept for any serious options strategist.
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