This paper estimates the impact of longevity risk on pension systems by combining the prediction based on a Lee-Carter (1992) mortality model with the projected pension payments for different cohorts of retirees. We measure longevity risk by the difference between the upper bound of the total old-age pension expense and its mean estimate. This difference is as high as 4 per cent of annual GDP over the period 2040-2050. The impact of longevity risk is sizeably reduced, but not fully eliminated, by the introduction of indexation of retirement age to expected life at retirement. Our evidence speaks in favour of a market for longevity risk and calls for a closer scrutiny of the potential redistributive effects of longevity risk