Judul: Determining Unit Link Term Life Insurance Net Single Premium Using the Compound Annual Ratchet Method
Abstrak: Asuransi unit link merupakan salah satu bentuk asuransi jiwa modern yang memberikan dua manfaat, yakni manfaat kematian dan manfaat investasi bagi tertanggung. Penghitungan premi dilakukan dengan mengasumsikan instrumen investasi yang digunakan berupa saham serta suku bunga konstan selama periode asuransi. Namun, pada keadaan sesungguhnya, instrumen investasi yang digunakan dapat berupa sebuah portofolio investasi yang terdiri atas berbagai instrumen investasi yang dimiliki oleh perusahaan asuransi serta suku bunga bervariasi. Tujuan karya ilmiah ini adalah menentukan besaran premi tunggal bersih dari asuransi jiwa berjangka unit link menggunakan metode pengindeksan saham compound annual ratchet pada empat skenario berbeda di mana tingkat cap dan tingkat floor divariasikan. Hasil penghitungan memberikan empat nilai premi tunggal bersih untuk masing-masing skenario. Secara keseluruhan, peningkatan tingkat floor dari 0% menjadi 3% memberikan nilai premi tunggal bersih yang lebih tinggi, sedangkan peningkatan tingkat cap dari 9% menjadi 12% memberikan nilai premi tunggal bersih yang lebih tinggi, tetapi kurang signifikan., The unit link insurance is one of the modern forms of life insurance that provides two benefits, namely death benefits and investment benefits for the insured. The calculation of the premiums is based on the assumption that the investment instruments used are equities and constant interest rates during the insurance period. However, in actual circumstances, the investment instrument used may be an investment portfolio consisting of different investments owned by the insurance company as well as varying interest rates. This scientific paper aims to determine the net single premium of life insurance unit link using the indexing method of compound annual ratchet stocks in four scenarios where the cap and floor values vary. The calculation results give net single premium values for each scenario. Overall, an increase in the floor level from 0% to 3% yields a higher net single premium value while an increase in the cap level rate from 9% to 12% gives a higher but less significant net single premium value.
Keyword: asuransi jiwa berjangka, Investasi, compound annual ratchet, premi tunggal bersih, unit link

Judul: Penentuan Premi Bersih dan Cadangan Manfaat Asuransi Seumur Hidup Last Survivor dengan Suku Bunga Stokastik
Abstrak: Salah satu contoh produk asuransi multi life, mencakup lebih dari satu orang, adalah asuransi last survivor, yaitu produk asuransi untuk dua orang tertanggung dengan manfaat asuransi akan diberikan ketika kedua tertanggung telah meninggal, dan pembayaran dilakukan pada kematian terakhir. Perhitungan premi dan cadangan manfaat asuransi tersebut biasanya dilakukan dengan mengasumsikan suku bunga konstan selama periode asuransi. Namun, pada keadaan sesungguhnya, suku bunga dapat bervariasi dari waktu ke waktu. Tujuan karya ilmiah ini adalah memodelkan suku bunga Bank Indonesia 7-day (Reverse Repo Rate) yang diasumsikan mengikuti model stokastik Cox-Ingersoll-Ross. Pendugaan parameter dilakukan menggunakan metode Penduga Maximum Likelihood. Hasil pendugaan parameter menghasilkan nilai Mean Absolute Percentage Error (MAPE) sebesar 12.33%. Perhitungan premi dan cadangan manfaat dilakukan secara kontinu dengan menggunakan rumus zero-coupon rate dari model yang telah diperoleh. Secara umum, hasil perhitungan premi dan cadangan manfaat menghasilkan nilai paling tinggi apabila pembayaran premi hanya dilakukan hingga kematian pertama, dan menghasilkan nilai paling rendah apabila pembayaran premi dilakukan hingga kematian kedua., One example of a multi life insurance product is last survivor insurance, which is an insurance product for two insureds with insurance benefits that will be given when both insureds have died, and payment is made at the last death. Insurance premiums and benefits reserves are calculated by assuming a constant interest rate during the insurance period. However, in actual circumstances, interest rates may vary occasionally. The purpose of this scientific work is to model the Bank Indonesia 7-day (Reverse Repo Rate), which is assumed to follow the Cox-Ingersoll-Ross stochastic model. Parameter estimation was calculated using the Maximum Likelihood Estimator method. The parameter estimation results have a Mean Absolute Percentage Error (MAPE) of 12.33%. Calculation of premiums and benefits reserves is calculated continuously using the zero-coupon rate formula from the model that has been obtained. Generally, the results of premiums and benefits reserves calculation yield the highest value if the premium payment is only made until the first death, and yield the lowest value if the premium payment is made until the second death.
Keyword: benefit reserve, Cox-Ingersoll-Ross, last survivor, net premium

Judul: Sintesis Glukosa Oleat dengan Berbantuan Gelombang Mikro
Abstrak: Carbohydrate-based esters of fatty acids are nonionic surfactants which are nontoxic, odorless, tasteless, and biodegradable. Glucose oleic acid is one of them. It can be synthesized by reacting glucose pentaacetate (GPA) and methyl oleate with conventional heating for 6 hours, which is slow and time-consuming. Therefore, organic synthesis has been developed by employing microwave irradiation, so called Microwave- Assisted Organic Synthesis (MAOS). This research synthesized glucose oleic acid, from GPA and methyl oleate using MAOS method, to reduce time of reaction and better yield. The parameters observed were melting point (for GPA), free fatty acid content (for methyl oleate), functional group analysis using Fourier transformed infrared spectroscopy (FTIR), and percent of yield. Reaction between GPA and glucose oleic acid was transesterification, while those of methyl oleate was esterification. GPA and glucose oleic acid using MAOS gave faster time of reaction, 5-10 minutes. The results showed that GPA, methyl oleate, and glucose oleic acid were well synthesized, as shown by FTIR spectra. The yield of GPA was 68,52%, with melting point was 94–111 °C. Methyl oleate gave 95,69% yield. Free fatty acid content of methyl oleate was 2,23%. The yield of glucose oleic acid was 47,18%.
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