Skewness;
Levy processes;
implied volatility smirk;
D O I:
10.1142/S0219024918500036
中图分类号:
F8 [财政、金融];
学科分类号:
0202 ;
摘要:
We introduce skewed Levy models, characterized by a symmetric jump measure multiplied by a damping exponential factor. These models exhibit a clear implied volatility pattern, where the damping parameter controls the implied volatility curve's skew, resulting in a measure of the model's skewness. We show that the variation of this parameter produces the typical smirk observed in implied volatility curves. Some theoretical facts supporting these findings are proved.