Claim Reserving Estimation Using the Double Chain Ladder Method with the Bootstrap Approach

The claim reserve is the amount of funds the insurance company must set aside to pay claims reported by policyholders. Estimation of claim reserves is carried out as a preventive step for failed payment if the reported claim exceeds the insurance company’s capacity. The estimation of claim reserves in this study was performed using the double chain ladder method with a bootstrap approach. The data used was in the form of a run-off triangle of claim counts and claim amounts presented in incremental and cumulative form. The purpose of this research was to determine the estimated value of reported but not settled (RBNS) and incurred but not reported (IBNR) claim reserves through the bootstrap application on the double chain ladder method. After performing the double chain ladder calculation, the estimated RBNS claim reserves amounted to 6,828,456,000 and the IBNR amounted to 3,714,144,000. Meanwhile, using the bootstrap approach, the RBNS claim reserve estimate was 6,777,539,000 and the IBNR was 3,741,979,000. With the conclusion that the greater the nominal claim reserve allocated, the lower the chance of the company going bankrupt.

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Publication Details

Journal
Enthusiastic International Journal of Applied Statistics and Data Science
Published
2025-04-26
DOI
https://doi.org/10.20885/enthusiastic.vol5.iss1.art3
Primary Topic
Network Security and Intrusion Detection
Type
article
Field-Weighted Citation Impact
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article

Claim Reserving Estimation Using the Double Chain Ladder Method with the Bootstrap Approach

Indah Gumala Andirasdini, Ayu Sofia, Tiffany Audrey Josepa
Enthusiastic International Journal of Applied Statistics and Data Science
Network Security and Intrusion Detection
article

Claim Reserving Estimation Using the Double Chain Ladder Method with the Bootstrap Approach

Indah Gumala Andirasdini, Ayu Sofia, Tiffany Audrey Josepa
article en

Abstract

The claim reserve is the amount of funds the insurance company must set aside to pay claims reported by policyholders. Estimation of claim reserves is carried out as a preventive step for failed payment if the reported claim exceeds the insurance company’s capacity. The estimation of claim reserves in this study was performed using the double chain ladder method with a bootstrap approach. The data used was in the form of a run-off triangle of claim counts and claim amounts presented in incremental and cumulative form. The purpose of this research was to determine the estimated value of reported but not settled (RBNS) and incurred but not reported (IBNR) claim reserves through the bootstrap application on the double chain ladder method. After performing the double chain ladder calculation, the estimated RBNS claim reserves amounted to 6,828,456,000 and the IBNR amounted to 3,714,144,000. Meanwhile, using the bootstrap approach, the RBNS claim reserve estimate was 6,777,539,000 and the IBNR was 3,741,979,000. With the conclusion that the greater the nominal claim reserve allocated, the lower the chance of the company going bankrupt.

Enthusiastic International Journal of Applied Statistics and Data Science
Sumatera Institute of Technology (ID)
Openalex Percentile: Top 86%
Network Security and Intrusion Detection
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