Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Volume 12 Issue 2 December 2024

Penerapan Collective Risk Model dalam Penentuan Premi Asuransi Bencana Alam

Yusuf, Feby Indriana (Unknown)
Adi, Puti Zakiyah Raisa (Unknown)
Saragih, Trecy Elisabet Tioralina (Unknown)



Article Info

Publish Date
31 Dec 2024

Abstract

Indonesia is prone to natural disasters such as volcanic eruptions, earthquakes, and tsunamis due to tectonic activity involving the Indo-Australian and Eurasian plates. Therefore, the government introduced natural disaster insurance in 2018 to mitigate financial losses caused by such events. This study employs the Collective Risk Model (CRM) to determine premium rates. The Poisson process and Gamma distribution are utilized to estimate the frequency and severity of natural disasters. Estimation is performed using Maximum Likelihood Estimation (MLE), while premiums are calculated based on the expected value and variance of aggregate risk using the Expected Value Principle and the Standard Deviation Principle. The results show that the expected value and variance of claim frequency are both . Furthermore, claims for losses follow the Gamma distribution, with an expected value and variance of  and . The mean and variance of aggregate claims are Rp  and Rp . The Standard Deviation Principle produces lower premiums than the Expected Value Principle under the same loading factor.

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Journal Info

Abbrev

Euler

Publisher

Subject

Computer Science & IT Mathematics

Description

Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. Euler disseminates new research results in all areas of mathematics and their ...