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The volatility smile depicts how implied volatility (IV) varies across strike prices. We can see that
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The smile becomes flatter as time to expiration increases. This indicates that markets price higher short-term uncertainty and tail risk, which smooths out over the long term.
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The curve is typically skewed, with higher IV on the lower strike side, and exhibits kurtosis.
- Skewness reflects greater fear of market crashes than optimism about rallies.
- Kurtosis signals that the market assigns a higher probability to extreme price moves than assumed in standard models.
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The entire curve is shifted toward lower strikes. This dominant negative skew underscores an asymmetric demand for downside protection and the pervasive "crash fear" in equity markets.
In essence, this pattern reveals that real-world markets are driven by asymmetric risk aversion and fat-tailed return distributions, deviating significantly from the assumptions of BSM models.
Sell options before a major event (earnings, central bank decisions, etc.), betting on a sharp drop in implied volatility (IV) post-event (volatility crush), while managing the gamma risk caused by the event.
Market Expectation → Implied Jump → Risk Pricing → Trading Decision
Front-month IV rises → Calculate J → Assess Gamma Risk → Decide to Short
- Pre-event: Uncertainty drives up near-month IV, forming a "volatility spike."
- Post-event: Uncertainty resolves, IV "crushes" back to normal levels.
- Key Assumption: The event is the dominant factor causing the difference between front-month and second-month IV.
Assume two expiration dates:
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$T_1$ : Front-month expiration (covers the event) -
$T_2$ : Second-month expiration -
$\sigma_1$ : Front-month ATM IV -
$\sigma_2$ : Second-month ATM IV
When
The instantaneous price jump percentage
Indicates the additional volatility premium the market prices for the event day.
| Parameter | Example Value |
|---|---|
| 0.0384 years (14 days) | |
| 0.1151 years (42 days) | |
| 45% | |
| 30% |
- Calculate Forward Volatility:
- Calculate Implied Jump:
The front-month IV contains an event risk premium of 19.4% (45% - 25.6%)
| Actual Move vs Implied Jump | Vega Profit | Gamma Risk | Strategy Performance |
|---|---|---|---|
| Actual Move < J | Gain from IV drop | Limited loss | Profitable |
| Actual Move ≈ J | Gain from IV drop | Loss offsets gain | Break-even |
| Actual Move > J | Gain from IV drop | Loss exceeds gain | Loss |
- Time Decay Advantage: Benefits from positive Theta.
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IV Term Structure: Must ensure
$\sigma_1 > \sigma_2$ with significant difference. - Liquidity Requirement: Need to trade in active underlyings to control bid-ask spread costs.
Strategy Core: By quantifying the market's pricing of event risk (the