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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CDR- a direct impact on <strong>the</strong> P&L statement <strong>and</strong> on <strong>the</strong>financial strength <strong>of</strong> <strong>the</strong> insurance company- CDR for accident year i <strong>and</strong> accounting year(n, n + 1]CDR i (n + 1) = E[C i,n |D (n) ] − E[C i,n |D n+1 ]where= E[R (n)i|D (n) ] − (X i,n+2−i + E[R n+1i|D n+1 ])D (n) = {C i,j : i + j ≤ n + 1}D n+1 = {C i,j : i + j ≤ n + 2 & i ≤ n + 1}R (n)iRin+1= D (n) ∪ {C i,n+2−i : i ≤ n + 1}= C i,n − C i,n+1−i= C i,n − C i,n+2−i