Browsing by Author "Hasriati"

Now showing 1 - 20 of 37
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    ANUITAS AKHIR MENGGUNAKAN FORMULA WOOLHOUSE UNTUK STATUS HIDUP GABUNGAN
    (2013-04-24) Humairah, Reni; Hasriati; Harison
    This paper discusses Woolhouse’s formula developed from a book by Dickson, Hardy and Waters [1]. Woolhouse’s formula derived from the Euler-Maclaurin formula approach. Woolhouse’s formula used to determine the cash value of annuity with payments m times a year. Cash values of annuity determined are cash value of life annuity and cash value of deposit annuity with payment at the end of the period for joint life status.
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    CADANGAN ASURANSI JIWA CONTINGENT BERDASARKAN DISTRIBUSI GOMPERTZ
    (2016-02-04) Rohmah, Miftakhur; Hasriati; Harison
    This article discusses the reserve life insurance contingent based on the Gompertz distribution at the age of x and y . Contingent life insurance is an insurance whose payments based on the sequence of the deceased insured. Life insurance also uses the compound contingent function, that is a function affected by the order of probability of delay of death. Calculation of the reserve contingent life insurance is only for two cases, if x dies before y and if x dies after y . This calculation is obtained by prior determining a premium and annuity due based on the Gompertz distribution.
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    CADANGAN ASURANSI JIWA CONTINGENT BERDASARKAN DISTRIBUSI MAKEHAM DENGAN METODE PREMIUM SUFFICIENCY
    (2016-04-27) Harun, Susmitha; Hasriati; Aziskhan
    This article discusses the reserve life insurance contingent for two persons at the age of x and y years old. Contingent life insurance is an insurance whose payments are based on the sequence of the deceased insured. The calculation of the reserve usesthe method of premium sufficiency, where the calculation considers the management expenses of company, assumingas gross premium. Gross premium calculation is acquired in advance by determining the present value of life annuity and net premium where these calculations are based on Makeham distribution.
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    CADANGAN ASURANSI JIWA DWIGUNA SEMIKONTINU UNTUK USIA PECAHAN DENGAN METODE NEW JERSEY
    (2016-04-27) Sari, Retno; Hasriati; Musraini
    This article discusses the prospective reserve using New Jersey method for prospective Semicontinuous Endownment Life Insurance. This method limits the calculation of reserves for 20 years. Semicontinuous endownment life insurance reserves calculation resolved by first determining annuities, single premium, and annual premiums with an intereset rate Vasicek and fractional age based on the assumption of the UDD.
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    CADANGAN ASURANSI PENDIDIKAN MENGGUNAKAN DISTRIBUSI PARETO DENGAN TINGKAT BUNGA VASICEK
    (2016-05-23) Sianipar, Reinhard; Hasriati
    This article discusses the retrospektif reserves by using Pareto's distibution and Vasicek's interest rate for education insurance. The life insurance reserve calculation is obtained by endowment life insurance, life annuity, single premium and annual premium. To solve life annuity, single premium and annual premium, the survival and curtate future lifetime using Pareto's distribution is determined in advance
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    CADANGAN PREMI ASURANSI PENSIUN UNTUK PENSIUN NORMAL PADA STATUS HIDUP GABUNGAN
    (2013-07-30) Silaban, Desi Nopitasari; Hasriati; Musraini
    This paper discuss the calculation of insurance premium reserve of normal pension fund, for joint life status of two pension fund insurance participants who are x and y years old. The calculation of prospective reserve value by using the value of pension benefits is based on the assumption of final salary, whole life annuity due and term annuity due for joint life status.
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    CADANGAN PREMI PENSIUN METODE PROJECTED UNIT CREDIT DAN ASUMSI TINGKAT BUNGA HO LEE
    (2016-04-27) Ramadhanis, Fitri; Hasriati; Aziskhan
    This article discusses the prospective reserves with interest rate models of Ho-Lee for pension premium reserve of Projected Unit Credit method. Interest rate models of Ho- Lee is a normally distributed no-arbitrage interest rate model and is expressed by stochastic differential equations that follows the Ito’s process. Interest rate models of Ho-Lee has parameters to be estimated is  k  dan  . To determine the parameter estimations is used MLE (maximum likelihood estimation) for  and Svensson models for  k  and then followed by a numerical approach using Newton Raphson method.
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    CADANGAN PREMI TAHUNAN ASURANSI KESEHATAN MENGGUNAKAN DISTRIBUSI BURR
    (2017-01-10) Arriko, Hendri; Hasriati
    This article discusses the annual premium reserves of healthy insurance of the Burr distribution. The annual premium reserves of healthy insurance calculation is solved by prior determination of the life annuity term, single premium, annual premium. In determining life annuity term is solved by the life chances using Burr distribution.
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    CADANGAN PROSPEKTIF ASURANSI JIWA DWIGUNA DENGAN ASUMSI SERAGAM
    (2014-03-25) Margaretta, Rosalina; Hasriati; Harison
    This article discusses the calculation of the prospective reserve of an endowment life insurance with uniform assumption for individual life status. The uniform assumption is an assumption that takes the uniform distribution for the probability density function, hence it can be used in a reserve premium calculation. The reserve premium available in life insurance company is influenced by how big the premium is paid by an insurance client.
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    CADANGAN ZILLMER BERDASARKAN DISTRIBUSI MAKEHAM DENGAN MENGGUNAKAN TINGKAT BUNGA MODEL RENDLEMAN-BARTTER
    (2017-01-10) Rinawati, Rusti Nella; Hasriati
    This article discusses Zillmer’s reserve in term of life insurance by using Rendleman-Bartter interest model. Interest rate model of Rendleman-Bartter is a lognormally distributed equilibrium one factor interest rate model and is expressed by stochastic differential equations that follow the Ito’s process. Interest rate models of Rendleman-Bartter has parameters and to be estimated. To determine the parameter estimations is used MLE (maximum likelihood estimation) and then followed by a numerical approach using Newton-Raphson method. Then Makeham distribution is used to evaluate the life annuity, single premium and annual premium.
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    HUBUNGAN SEGITIGA NAGEL DENGAN SEGITIGA ASALNYA
    (2014-03-25) Widya, Reni; Hasriati; Natsir, M.
    This paper discusses the relationship between the Nagel triangle and the original triangle. The Nagel triangle is formed by connecting the three of tangent points of the excircle to the sides of the triangle. This relationship can be shown through the collinearity of centroid and incenter of the original triangle to Nagel point of the Nagel triangle. Then, the relationship between the area of the Nagel triangle and the area of the original triangle is shown
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    KONKURENSI TITIK GERGONNE
    (2014-03-25) Trisna, Desi; Natsir, M.; Hasriati
    This paper discusses the proof of the concurrent from Gergonne point. The Gergonne point of a triangle is the point at which the three lines from vertices to the points of tangency between the incircle and the sides of the triangle are concurrent. Concurrent Gergonne point can be proved through several methods and using Ceva theorem. The concurrence of Gergonne point is also proved on excircle of triangle.
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    MENENTUKAN NILAI CADANGAN YANG DISESUAIKAN PADA ASURANSI JIWA BERJANGKA BERPASANGAN DENGAN METODE ILLINOIS
    (2013-07-17) Jefrianda; Hasriati; Aziskhan
    Prospective reserve of term life insurance pairwise is determined by using the assumptions of net premiums which is influenced by the agent commission fee on life insurance companies. In this paper, a prospective reserve is determined by using the method of Illinois with a maximum reserve limit of 20 years cost with the adjusted premiums assumption.
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    MENENTUKAN PELUANG RUIN DENGAN METODE KOMBINASI EKSPONENSIAL
    (2014-03-25) Karmila; Hasriati; Sirait, Haposan
    This paper discusses the probability of the state when surplus become negative at the first time in the insurance. That is called the probability of ruin, for the claim amount is supposed to be a combination of exponential distribution. We assume that the claim number distribution is Poisson and the waiting time distribution of the claim is exponential. In this paper, we determine the ruin probability for the claim amount, assuming that it is a combination of exponential distribution, which is called combination of exponential method
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    METODE AGGREGATE COST UNTUK PERHITUNGAN PREMI TAHUNAN PADA ASURANSI JIWA GABUNGAN
    (2014-03-25) Sibuea, Lusiana; Hasriati; Pane, Rolan
    This article discusses the calculation of pension fund insurance premiums using an aggregate cost method for joint life insurance for two participants of normal pension fund. Pension fund insurance premiums can be determined from the value of pension benefits, life annuity for joint life, and the present value of pension benefits with assumption of last salary. An example is also given in this discussion
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    METODE PREMIUM SUFFICIENCY UNTUK CADANGAN ASURANSI JIWA BERJANGKA PADA STATUS HIDUP GABUNGAN
    (2013-06-10) Riyana, Silda; Hasriati; Aziskhan
    This paper discusses the premium of reserve of life insurance based on premium sufficiency method for two persons, who are respectively x and y years old, joining term life insurance with joint life status. On this method, premium reserve is evaluated by using gross premium assumption with considering the management expenses of insurance company. Gross premium calculation is acquired by determining the present value of due life annuity and annual net premium where these calculations are expressed in commutation function.
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    NILAI AKUMULASI ANUITAS AKHIR DENGAN ASUMSI DISTRIBUSI UNIFORM UNTUK m KALI PEMBAYARAN
    (2014-03-25) Kelatri, Nomi; Hasriati; Musraini
    This paper discusses the accumulated value of the immediate annuity for m times per year. The assumption of uniform distribution is used in determining the accumulated value of the immediate annuity, which is a linear approximation to the probability that the insurance participant died. The accumulated value of the annuity is influenced by cash value annuity paid by insurance participant, the interest rate, and the amount of annuity payments made by insurance participants
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    NILAI SEKARANG DARI MANFAAT PENSIUN UNTUK KASUS MULTIPLE DECREMENT DENGAN TINGKAT BUNGA RENDLEMAN{BARTTER
    (2017-01-12) Fitri, Anggia; Hasriati
    This article discusses the present value of future benefit and the due life anuity under uniform assumption for the case of multiple decrements using Rendleman–Bartter interest rate model. Interest rate models of Rendleman– Bartter have parameters and to be estimated, where the parameter in the model is estimated using MLE (maximum likelihood estimation) and then followed by a numerical approach using Newton–Raphson method.
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    NILAI TUNAI ANUITAS HIDUP AWAL UNTUK STATUS GABUNGAN BERDASARKAN DISTRIBUSI GOMPERTZ DAN DISTRIBUSI MAKEHAM
    (2013-04-26) Afrianti, Deni; Hasriati
    This paper discusses the present value of a life annuity due for joint life with Gom- pertz distribution and Makeham distribution. With Gompertz distribution and Makeham distribution, the present value calculation is done by first determining the life chances of single and joint life based on the Gompertz distribution and Makeham distribution. In determining of the present value of an annuity based on Gompertz distribution and Makeham distribution, the distribution constants will affect the present value of the annuity
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    Pengembangan dan Penerapan Teorema Pappus dalam Berbagai Kasus
    (2013-03-21) Hasriati; Sirait, Asli
    In this paper we discuss about The Pappus theorem with colinearitas of three points which is the intersection of six points on two different lines. Furthermore, if there are four lines that intersect and form a triangles, the triangle formed through the orthocenter is show coliniearitas