Before revision:  for which there is a well known closed-form formula in terms of the SVI parametrization}\hspace{0pt}%DIFAUXCMD . Finally, using L\'{e}vy's convergence theorem, we show that the log stock price X_t tends weakly to a non-symmetric random variable X^{(1/2)}_t as \alpha }\to \to _t/\sqrt{t} tends weakly to a non-symmetric random variable as t}\to \to  }\hspace{0pt}%DIFAUXCMD where the skew flattens or blows up) and the V process converges on pathspace to a random tempered distribution} .
After revision:  for which there is a well known closed-form formula in terms of the SVI parametrization}\hspace{0pt}%DIFAUXCMD . Finally, using L\'{e}vy's convergence theorem, we show that the log stock price X_t tends weakly to a non-symmetric random variable X^{(1/2)}_t as \alpha }\to \to _t/\sqrt{t} tends weakly to a non-symmetric random variable as t}\to 0, which leads to a non-flat non-symmetric asymptotic smile in the Edgeworth regime. We also show that the third moment of the log stock price tends to a finite constant as H\to }\hspace{0pt}%DIFAUXCMD where the skew flattens or blows up) and the V process converges on pathspace to a random tempered distribution} .