Before revision:  As  numerical illustration, the model is simultaneously calibrated to Stoxx50E call options at four different maturities and subsequently prices and Greeks of down-and-in digital and down-and-in call options are calculated . Comparison with Monte Carlo simulation results shows that the method is fast, accurate, and stable.
After revision:  As numerical illustration, the model is simultaneously calibrated to Stoxx50E call options at four different maturities and subsequently prices and Greeks of down-and-in digital and down-and-in call options are calculated for a set of parameters obtained by a simultaneous calibration to Stoxx50E call options across strikes and four different maturities. By comparing the results with Monte-Carlo simulations, we show that the method is fast, accurate, and stable.