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A Note On The Instability Of The Unprojected Individual Level Premium Cost Method, Pierre Devolder, Valerie Goffin

Journal of Actuarial Practice (1993-2006)

We compare the unit credit and the unprojected individual level premium cost methods in a continuous time environment and show that the latter may produce unstable contribution rates in a dynamic environment. Specifically, assuming there are no unfunded liabilities, we prove that the unprojected individual premium cost method may produce non-bounded contributions if benefits change too close to the normal retirement age.