We derive a sequential algorithm for simultaneous calibration and quadratic hedging of options. It can be applied to any model from which we can simulate paths and price options. The quadratic hedging comes at no extra cost! We have calibrated the Bates and NIG-CIR model to S&P 500 index options in order to evaluate various hedging strategies (delta, quadratic), clearly indicating the advantage of quadratic hedging over delta hedging.