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Asymptotic Consistency and Inconsistency of the Chain Ladder

Asymptotic Consistency and Inconsistency of the Chain Ladder

Asymptotic Consistency and Inconsistency of the Chain Ladder

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One Year Prospective- in <strong>the</strong> classical claims reserving, one usually studies<strong>the</strong> total uncertainty in <strong>the</strong> claims developmentuntil <strong>the</strong> total ultimate claim is finally settled- Solvency II purposes- run-<strong>of</strong>f = opening balance – expenses – closingbalance- we predict <strong>the</strong> total ultimate claim at time n (with<strong>the</strong> available information up to time n), <strong>and</strong> oneperiod later at time n + 1 we predict <strong>the</strong> same totalultimate claim with <strong>the</strong> updated informationavailable at time n + 1- difference between <strong>the</strong>se two successivepredictions is <strong>the</strong> claims development result (CDR)for accounting year (n, n + 1]

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