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Journal : Jurnal Matematika

The Calculation of Life Insurance Premiums with A Multiple-State Model on Critical Illness Insuranceance Millennia Taraly; Neva Satyahadewi; Hendra Perdana
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p150

Abstract

Based on data from the Basic Health Research (Riskesdas) in 2018, the risk of critical illness is increasing and is the highest cause of death for Indonesian population. Currently, the cost of treating disease is not cheap, so maintaining health and preparing for the possibility of being diagnosed with a critical illness in the future is an important step. Critical Illness insurance premiums calculation includes cancer, stroke, heart, and diabetes mellitus. The benefits provided are in the form of death compensation, treatment costs when diagnosed with a critical illness, and there are also costs for Angioplasty surgery. Angioplasty surgery is performing when the individual has a serious critical heart condition and must be performed immediately 24 hours after a heart attack. The data information is in the form of the 2019 Indonesian Mortality Table, and the prevalence of critically ill patients with angioplasty surgical conditions. The premium calculation is carriying out for the insured male aged 40 years in good health, interest rate is 3.75%, the premium payment period and the insurance coverage period is 10 years. The annual net premium value obtained is IDR 5,859,788, of which the sum insured is IDR 500,000,000. There are 3 benefits obtained by the insured: (1) The cost of compensation received for Angioplasty surgery is 25% of the sum insured; (2) The cost of treatment compensation that will be given annually until the insurance coverage period ends when the insured is diagnosed with a critical illness, which is 100% of the sum insured minus the cost of compensation in the event of Angioplasty surgery; and (3) The value of compensation for death due to any cause, which is 100% of the sum insured minus the critical illness benefit for Angioplasty surgery
Co-Authors Al Amin Alatin, Isam Aldien, Royan Gustio Alex Sander Almazmar, Giatul Khodijah Hodijah Andani, Wirda Andi Hairil Alimuddin Anggi Putri Dewi Anggi, Muhamad Anis Fakhrunnisa Annisa Fitri Antoni, Frans Xavier Natalius Apriliyani, Techa Aprizkiyandari, Siti Ariady Zulkarnain Arsyi, Fritzgerald Muhammad Assa Trissia Rizal Atikasari, Awang Atlantic, Virginnia Aulia Puteri Amari Azura, Tina Calissta, Leanna Belva Cesoria, Yola Zerlinda Crismayella, Yuveinsiana Dadan Kusnandar Dadan Kusnandar Dadan Kusnandar Dadan Zaliluddin Debataraja, Naomi Nessyana Dedi Rosadi Deni Wardani Dinda Lestari Dwi Nining Indrasari Dzakirah, Nasya Rabbi Eka Rizki Wahyuni Elga Fitaloka Endah Saraswi Ersawahyuni, Aisna Evi Noviani Evy Sulistianingsih Faizah, Putri Alya Nur Fajar, Arif Nur Fallah, Khalishah Ghina Febriani, Nindy Febriani, Rani Febriyanto, Ferdy Fery Prastio Fidianty, Fadilla Firhan Januardi Firman Saputra Fortuna, Nia Fitriana Gilang Habibie Gunawan, Sucipto Hafifah, Nanda Handayani, Aditya Hapipah, Liza Darojatul Hariadi, Wahyudio Shaney Fikri Harnanta, Nabila Izza Hasanah, Kutsiatul Hasanuddin Hasanuddin Helmi Helmi Hidayat, Rani Lestari HUDA, NUR’AINUL MIFTAHUL Huriyah, Syifa Khansa Iman Sanjaya Imanni, Rahmania Andarini Hatti Imro'ah, Nurfitri IMRO’AH, NURFITRI Imtiyaz, Widad Indriani, Maria Meilinda Ira Mona Irwanto, Dicky Ismi Adam Jajad Sudrajat Jawani Jawani Juniarti, Leni Khabib Mustofa Laksono Trisnantoro Lilit Tamara Dinta Lisa Lestari M. Deny Hafizzul Muttaqin Ma’ruf, Ikhwan Maisarah Maisarah Margaretha, Ledy Claudia Mariana Yopi Mariatul Kiftiah Martha, Shantika Marwalida Rachmadiar Maulida Amanasari Mega Tri Junika Mida Mida Millennia Taraly Misrawi Misrawi Muhamad Ikbal Muhammad Ahyar Muhammad fauzan Muhardi Muhtadi, Radhi Mursyidah, Lailatul Mutiara Nurisma Rahmadhani Nabilah, Niken Aushaf Nanda Ayuni Nanda Shalsadilla Naomi Nessyana Debataraja Naomi Nessyana Debataraja Neva Satyahadewi Novita, Irene Nugrahaeni, Indah Nur Asiska Nur Azmi Nurfitri Imro'ah Nurfitri Imro’ah Nurhanifa, Nurhanifa Nurin Hafizah Nurmaulia Ningsih Nurul Huda Padilah, Ariski Paisal Paisal Pinasari, Repi Pitriani Pitriani Pranata Anggi Puji Ardiningsih Puspita, Risma Putri, Vinna Septyara Qalbi Aliklas Rafika Aufa Hasibuan Rahman, Tri Wanda Rahmania Andarini Hatti Imanni Rahmasari, Yulia Ramadhan, Nanda Ratna Nursariyani Ratna Sari Dewi Reni Unaeni Retnani, Hani Dwi Ria Fuji Astuti Rina Rina Risa Nofiani Risko, Risko Rivaldo, Rendi Rizki, Setyo Wira Robbiati, Dian Roeswandi, Irine Fajrin Rofatunnisa, Sifa Sadikin, Utin Azwa Sayhani Salsabila, Hana Samson Samson Santika Santika Sasqia Aklysta Antaristi Sesilisvana, Nevil Setyo Wir Rizki Setyo Wira Rizki Setyo Wira Rizki Setyo Wira Rizki Shantika Martha Shantika Martha Shantika Martha Silvia Andriany Sinaga, Steven Jansen Sindia, Eri Sintia Margun Siti Julaeha, Siti Siti Septiani Rahayu Putri Solly Aryza Suci Angriani Suhardi Suprianto, Okto syuradi, Syuradi Tamtama, Ray Taraly, Inggriani Millennia Thariq Thariq Tiara, Dinda Titania Aurellia Trifaiza, Fadhela Wafiq Nurhaliza Wahyu Diyan Ramadana Wilda Ariani Wira Fujiyanto Enizar Wirda Andani Wirdha Eryani Yogi, Vinsensius Yohane, Novi Yonatan, Yulianus Yopi Saputra Yudhi Yumna Siska Fitriyani Yundari, Yundari Yundari, Yundari Yustosio, Darwis Yuveinsiana Crismayella Zahidah, Zahra