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2016 AFIR-ERM Colloquium – Edinburgh, United Kingdom
31 May-2 June 2016

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Financial Risks

Long guarantees with short duration: The rolling annuity

We present a new type of with-profits annuities which has been implemented in a nation-wide Danish pension plan. The rolling annuity gives a minimum lifelong guarantee complemented with a series of guaranteed increases prior to retirement. The structure of the guarantee implies that, prior to the last increase, the liability is equivalent to a zero-coupon bond maturing at the next increase and therefore easily hedgeable in financial markets. The short duration implies that financial and regulatory value (essentially) coincide. We show financial fairness and we derive the reserve and thereby the hedging strategy.
Speaker: Søren Jarner, ATP
June 1, 2016