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All Journal Journal of Science and Applicative Technology Variance : Journal of Statistics and Its Applications
Aprilia, Inaya Sathrani
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Civil Engineering, Building, Construction & Architecture Earth & Planetary Sciences Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering

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Calculation of The Chain Ladder and Bornhoutter-Ferguson Methods in Calculating Claim Reserves for Insurance of Property Company in Sumatra Julianty, Dila Tirta; Yulita, Tiara; Aprilia, Inaya Sathrani
Journal of Science and Applicative Technology Vol. 9 No. 1 (2025): Journal of Science and Applicative Technology June Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/jsat.v9i1.2041

Abstract

Property insurance provides financial protection against the risk of loss due to damage or loss of insured property, such as buildings, vehicles, and equipment. Property insurance companies are required to maintain sufficient reserves to meet future claim obligations. Therefore, these companies need to accurately estimate claim reserves. This study aims to compare two methods of estimating property insurance claim reserves Chain Ladder method and Bornhuetter-Ferguson method. The data used in this research is secondary data obtained from property insurance in Sumatra, covering production and claims data from 2018 to 2023. The Chain Ladder method is a straightforward approach that uses historical claims development patterns to project future claims. The Bornhuetter-Ferguson method combines information from paid claims and estimates of the loss ratio from earned premium to predict reserves. Both methods are compared to assess their accuracy in estimating claim reserves using the Mean Absolute Percentage Error (MAPE). The results of this study indicate that the Bornhuetter-Ferguson method provides better estimates of claim reserves compared to the Chain Ladder method.
COMPARISON OF THE CHAIN LADDER AND BORNHOUTTER-FERGUSON METHODS IN CALCULATING CLAIM RESERVES FOR REINSURANCE COMPANY IN INDONESIA Yulita, Tiara; Julianty, Dila Tirta; Aprilia, Inaya Sathrani; Inayah, Larasati Nurul
VARIANCE: Journal of Statistics and Its Applications Vol 7 No 2 (2025): VARIANCE: Journal of Statistics and Its Applications
Publisher : Statistics Study Programme, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/variancevol7iss2page155-166

Abstract

In the insurance industry, calculating claims reserves plays a crucial role in managing both risk and the financial stability of an insurance company. When a claim is filed, the insurer must allocate a reserve fund to anticipate potential future losses. In general insurance, claim settlements are often not completed immediately because there is usually a time gap between the occurrence of an incident and the reporting of the claim. Unresolved claims create liabilities or obligations for the insurance company. These allocated funds are referred to as claim reserves, which are generally categorized into two types: Incurred but Not Reported (IBNR) and Reported but Not Settled (RBNS). This research focuses on determining estimates of claim reserves using the Chain Ladder and Bornhuetter-Ferguson methods for loss insurance data for the property business class of reinsurance companies in Indonesia for the period 2011 to 2021. The results show that the claims reserves for each method are IDR 2,499,456,710,993 and IDR 2,266,000,657,647 with MAPE value of 1.38% and 2.10%. The results of the MAPE value calculation show that the claim reserves estimate using the Chain Ladder method is better than the Bornhuetter-Ferguson method.
Co-Authors Dila Tirta Julianty Inayah, Larasati Nurul Yulita, Tiara