Mittlerer quadratischer Prognosefehler bei der Prognose des Abwicklungsergebnisses mittels der Chain-Ladder-Methode

Often in non-life insurance claims reserves are the largest position on the liability side of the balance sheet. The determination of adequate claims reserves in two consecutive accounting years leads to the so-called development result, which is defined as the difference of two successive predictors for the claims reserves. If the predictors for the claims reserves are unbiased the expected development result is equal to zero. However, since in claims reserving one predicts future payments the observed development result will in general deviate from the expected value. In the present paper we analyze this deviation. In an example we discuss the results.