This study examines the impact of truncation, i.e., the unavailability of extremely deep-out- of-the-money option quotes, on the model-free implied moment estimators of Bakshi et al. (2003) and suggests how truncation should be controlled for implied higher moment estimation. We show that truncation has a signi cantly larger impact on the implied skewness and kurtosis esti-mators than on the implied volatility estimator and that the impact is not completely removed by linear extrapolation (LE) suggested by Jiang and Tian (2005) or domain symmetrization (DSym) proposed by Dennis and Mayhew (2002). As an alternative method, we suggest domain stabilization (DStab) which makes the truncation error less volatile.
JEL Classiffcation: C14; C58; G13.
Keywords: Truncation error; model-free implied moment estimators; domain stabilization.