hard · Quantitative Finance

A practitioner observes that the 'Volatility Smile' for equity index options is typically downward-sloping (skewed).

Which modeling adjustment is most likely to reproduce this empirical feature?

  1. Increasing the risk-free rate used in the pricing formula.
  2. Assuming that asset returns follow a symmetric Normal distribution.
  3. Using a local volatility model with constant volatility coefficients.
  4. Introducing a negative correlation between stock returns and volatility shocks.

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