Planning outstanding reserves in general insurance

摘要

Each insurance company have to ensure its solvency through presentation of accounts for its own reserves in the start of the year. Usually the task of the actuary is to estimate the state of the company on an annual basis and the expectation of the status of the company for a future period. One of the major problem when calculating the liabilities of the incurred claims, is related to the delay of payments. Object of consideration in the present note are the outstanding claim reserves, which are set aside to cover claims, occurred before the date of the annual account, but still not paid, and related with them expenses. There may be different reasons for the delay of claims settlement. For example, continuation the process of the liquidation of the damage waiting for necessary documents or the presence of controversial cases whose permission takes time, etc. Thus the claims, which determine the outstanding reserves could be divided in the following types: claims, which are reported, but not settled (RBNS); claims, which are incurred but not reported (IBNR); claims, whose case is finished, but it is possible to be reopened. When calculating the reserves for IBNR claims, most widely used is the Chain-ladder method and its modification presented by the Bornhuetter - Ferguson method. For modeling the outstanding claims, the available data should be presented in so called run-off triangle, which underlies in the basis of such methods. The present work provides a review of the algorithm for calculating insurance outstanding claim reserves according to the Chain-ladder method. Using available data for claims related to liability of drivers, registered in Bulgaria an example is constructed to illustrate the methodology of the Chain-Ladder method. Back-testing approach is used for validating the results.