scholarly journals PERHITUNGAN PREMI ASURANSI JIWA DWIGUNA PASUTRI SEBAGAI PENERAPAN PEMBELAJARAN MATEMATIKA EKONOMI

2016 ◽  
Vol 3 (1) ◽  
pp. 99
Author(s):  
Irma Fauziah

<p>In learning mathematical economics, the calculation of life insurance premiums is a matter concerning the application of a combination of compound interest, probability, differential and integral.  Life insurance with multilife concept is the one of ap- plied in actuarial mathematics.  A functions, in the actuarial cal- culation, related to death sequence in multilife concept is called as contingent function.   Usage that function in calculation of insurance premium will assist the insurer in giving the benet precisely.<br />Contingent probabilities are resulted by multiplication be- tween the force of mortality of life in the last sequence of death which have been determined and probabilities of life all family member in multilife status. Insurance formulation is obtained by mutiplying this probabilities with <em>v</em>t discount factor and they are integrated by using the assumption of a uniform distribution of death throughout the year of age.</p>

Risks ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 5
Author(s):  
Karim Barigou ◽  
Stéphane Loisel ◽  
Yahia Salhi

Predicting the evolution of mortality rates plays a central role for life insurance and pension funds. Standard single population models typically suffer from two major drawbacks: on the one hand, they use a large number of parameters compared to the sample size and, on the other hand, model choice is still often based on in-sample criterion, such as the Bayes information criterion (BIC), and therefore not on the ability to predict. In this paper, we develop a model based on a decomposition of the mortality surface into a polynomial basis. Then, we show how regularization techniques and cross-validation can be used to obtain a parsimonious and coherent predictive model for mortality forecasting. We analyze how COVID-19-type effects can affect predictions in our approach and in the classical one. In particular, death rates forecasts tend to be more robust compared to models with a cohort effect, and the regularized model outperforms the so-called P-spline model in terms of prediction and stability.


2019 ◽  
Vol 8 (3) ◽  
pp. 246
Author(s):  
I MADE WAHYU WIGUNA ◽  
KETUT JAYANEGARA ◽  
I NYOMAN WIDANA

Premium is a sum of money that must be paid by insurance participants to insurance company, based on  insurance contract. Premium payment are affected by interest rates. The interest rates change according to stochastic process. The purpose of this work is to calculate the price of joint life insurance premiums with Vasicek and CIR models. The price of a joint life insurance premium with Vasicek and CIR models, at the age of the insured 35 and 30 years has increased until the last year of the contract. The price of a joint life insurance premium with Vasicek model is more expensive than the premium price using CIR model.


Hematologies ◽  
2019 ◽  
pp. 178-201
Author(s):  
Jacob Copeman ◽  
Dwaipayan Banerjee

This chapter focuses on blood in the time of the civic—that is, blood that is donated voluntarily as a dutiful contribution to civic life, that in turn ensures the continued efficacy and productivity of transfusion medicine. These voluntary donations take place according to a seemingly simple biological time map: the biological time of cellular production determines the biomedically mandated three-month gap between donations. The time regime of the repeated voluntary donation emerges from and is mapped upon the lifetime of blood cells. This is in contrast to apparently less civic-minded blood donation modes: the potentially dangerous commercial transaction of paid blood donation and the one-time mode of “replacement” donation, performed in order to release blood for the benefit of one's immediate family member in need of transfusion. As this chapter shows, these modes of donation are characterized by different temporalities. A routine of dutiful repetitive bloodshed structures voluntary blood donation's time of the civic.


Author(s):  
M.R.K. Ariffin ◽  
M.S.M. Noorani

In 1998, M.S. Baptista proposed a chaotic cryptosystem using the ergodicity property of the simple lowdimensional and chaotic logistic equation. Since then, many cryptosystems based on Baptista’s work have been proposed. However, over the years research has shown that this cryptosystem is predictable and vulnerable to attacks and is widely discussed. Among the weaknesses are the non-uniform distribution of ciphertexts and succumbing to the one-time pad attack (a type of chosen plaintext attack). In this chapter the authors give a mathematical treatment to the phenomenon such that the cryptosystem would no longer succumb to the one-time pad attack and give an example that satisfies it.


2019 ◽  
Vol 8 (4) ◽  
pp. 264
Author(s):  
I GUSTI AGUNG GEDE DWIPAYANA ◽  
I NYOMAN WIDANA ◽  
KARTIKA SARI

Last survivor life insurance is a type of life insurance for two or more people, with premium payment up to the last death of the insured and at that time also provide the benefit from the insurer. The purpose of this research was to determine the formula for last survivor life insurance premium reserve using New Jersey method. To calculate the reserve: first we determine the benefit, and then the annuity and finnaly the annual premium. The premium reserve value in the New Jersey method on first year is zero. The premium reserve in the New Jersey method starts in the second year, for  years, with  where n represents the term of the insurance participant’s contract.


2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Xingyu Yang ◽  
Weiguo Zhang ◽  
Weijun Xu ◽  
Yong Zhang

We introduce the compound interest rate into the continuous version of the online leasing problem and discuss the generalized model by competitive analysis. On the one hand, the optimal deterministic strategy and its competitive ratio are obtained; on the other hand, a nearly optimal randomized strategy is constructed and a lower bound for the randomized competitive ratios is proved by Yao's principle. With the help of numerical examples, the theoretical results show that the interest rate puts off the purchase date and diminishes the uncertainty involved in the decision making.


2016 ◽  
Vol 53 (2) ◽  
pp. 622-629 ◽  
Author(s):  
Emmanuelle Anceaume ◽  
Yann Busnel ◽  
Ernst Schulte-Geers ◽  
Bruno Sericola

Abstract In this paper we study a generalized coupon collector problem, which consists of analyzing the time needed to collect a given number of distinct coupons that are drawn from a set of coupons with an arbitrary probability distribution. We suppose that a special coupon called the null coupon can be drawn but never belongs to any collection. In this context, we prove that the almost uniform distribution, for which all the nonnull coupons have the same drawing probability, is the distribution which stochastically minimizes the time needed to collect a fixed number of distinct coupons. Moreover, we show that in a given closed subset of probability distributions, the distribution with all its entries, but one, equal to the smallest possible value is the one which stochastically maximizes the time needed to collect a fixed number of distinct coupons.


2011 ◽  
Vol 84 (2) ◽  
pp. 238-254 ◽  
Author(s):  
ROSWITHA HOFER ◽  
PETER KRITZER

AbstractWe discuss the distribution properties of hybrid sequences whose components stem from Niederreiter–Halton sequences on the one hand, and Kronecker sequences on the other. In this paper, we give necessary and sufficient conditions on the uniform distribution of such sequences, and derive a result regarding their discrepancy. We conclude with a short summary and a discussion of topics for future research.


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