The invention provides a computer implemented method of establishing a longevity financial instrument, the method comprising: establishing, using computing apparatus, a set of parameters determining payment amounts to be made according to a payment schedule for the financial instrument such that the payment amounts relate to the future liabilities of a pension scheme to at least a portion of its members. The parameters may determine the payment amounts to match the a calculation of the future liabilities of the pension scheme to at least a portion of its members, taking into account the actual cumulative mortality experience of the pension scheme membership. The various embodiments of the method provide a number of longevity financial instruments that have different payment schedules that are advantageously arranged to match different risk profiles and can be used to satisfy pension scheme sponsors having different risk appetites. The invention also provides methods of issuing longevity financial instruments established thus, and providing such longevity financial instruments to investors. The invention also provides financial instruments thus established and issued.