However, the asymptotic analysis performed on asset option prices as in Fouque and Kollman (2009) reveals that, to the leading order, these prices are given by (9, 10, 11) with σm replaced by σ
∗ given by (44) and calibrated on market skews using (48). Therefore, in what follows, we simply use our pricing formula (35)with σm replaced by σ∗.