The Chain Ladder Method (CLM) is a widely used method from the insurance companies in order to predict different types of future payments. These important calculations are done a several times in the year because they approximately predict how much will have to be paid for some claims in the different lines of business that are yet to be reported. This paper, in their first part, presents the use of the method to predict the sum of Incurred but not reported type of claims, also known as IBNR and Reported but not settled claims, also known as RBNS. In the second part CLM has been applied to predict reserves only for IBNR. This approach allows to occur in the future and how much money should be booked by the company into a reserve for this kind of future claims. Some numerical experiments have been presented.

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