Before revision:  Our approach relies on an asymptotic expansion related to small diffusion and small jump frequency . As a consequence, the calibration of such model becomes very fast .
After revision:  Our approach relies on an asymptotic expansion related to small diffusion and small jump frequency /size. Our formula has excellent accuracy (the error on implied Black-Scholes volatilities for call option is smaller than 2 bp for various strikes and maturities). Additionally, model calibration becomes very rapid .