(15)The long-term nature and the retirement income objective of the PEPPs require stochastic modelling which is a tool to forecast the probability of various outcomes under different conditions, so as to project future PEPP benefits in a reasonable manner. It is therefore necessary to ensure that stochastic modelling is used when assessing the risk profile and the potential performance of the investment strategies offered by PEPP providers, reproducing the range of possible PEPP benefit outcomes that could be observed in real life due to uncertain asset returns and contribution levels. Stochastic modelling should also be used when determining the appropriate levels of ambition in terms of risks, when building the performance scenarios for the PEPP KID and the pension benefit projections for the PEPP Benefit Statement as well when implementing the methodology for the summary risk indicator effectively. For this purpose, it is appropriate to establish certain references for the stochastic modelling to be used by the PEPP provider. The PEPP provider should remain free to adapt the stochastic modelling to reach the required objective and to integrate the models elaborated by the PEPP providers for other, similar products.