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  • Farah Kristiani
    Universitas Katolik Parahyangan

Abstract

There are two kinds of annuity, annuity certain and life annuity. Annuity certain does not depend on life probability, for example, mortgage. Life annuity depends on time until death and life probability, for example, pension payment from insurance company. The objective of this paper is to discuss further about life annuity and the relationship with life probability that is influences by time until death and the assumption of interest which is used. Time until death (T) is a random variable, because it is unpredictable. To determine the value of distribution, assumption values on tqx will be used. These values are generated by T simulation which depends on Uniform distribution (0,1) random values. A few cases of determining life annuity using tpx distribution values by T simulation will be discussed.

Keywords

distribution function of time until death, life annuity, time until death

References

Bowers,N L.; Gerber, H U.; Hickman, J C.; Jones, D S. & Nesbitt, C J. (1997) Actuarial Mathematics (2nd ed). The Society of Actuaries, Chapter 3.

Kellison, SG. (1991). The theory of interest (2nd ed). New York: Mc Graw Hill.

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Published Aug 15, 2010
How to Cite
KRISTIANI, Farah. PENENTUAN BESARNYA ANUITAS HIDUP DENGAN MENGGUNAKAN NILAI ASUMSI PADA DISTRIBUSI SISA USIA. Jurnal Matematika, Sains, Dan Teknologi, [S.l.], v. 11, n. 2, p. 79-89, aug. 2010. ISSN 2442-9147. Available at: <http://jurnal.ut.ac.id/index.php/JMST/article/view/484>. Date accessed: 23 nov. 2017.
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