Longevity risk is an increasing risk factor in the increasing world of pensions and annuity business.  If declining the business is not an option, a method is required to minimise the risk of longevity.  This research considers the natural hedge between annuities and assurances. The stability of the hedge is investigated, how often rebalancing is required, and the effect that a change in interest rates will have on it. The hedge is illustrated for various ages, both for annuities and assurances. Finally, this is expanded and a simple method is suggested to apply the hedge to a portfolio of annuities or assurances.