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3 results for W-shape

W-shaped vol curves in liquid options can be modeled with two variance-gamma models.

problem Reproducing W-shaped implied volatility curves in liquid option markets.
method Using a mixture of two variance-gamma models.
result W-shaped vol curves can be generated with fewer distributions (two) compared to lognormal models (at least three).

The paper proposes a new SDF scaled by time-varying volatility from S&P 500 options.

problem Estimating the SDF from option prices and predicting the equity premium.
method Utilizes S&P 500 options data to recover a stable, non-monotonic SDF.
result The SDF exhibits a hump on the put side, which transitions into a W-shape with maturity.