Ph.D Student | Levy Alon |
---|---|

Subject | A New View on Insurance and Pension |

Department | Department of Applied Mathematics |

Supervisor | Professor Emeritus Abraham Zaks |

In Actuary,
the force of mortality* _{x}* and the expected number
of survivors

Investigating
the behavior of *e _{x}*, we noticed the existence of reasonable
approximation by low degree polynomials. Furthermore, we noticed that the differential
equation for

We study this
differential equation, and we derive new mortality laws. We obtain a
Gompertz-like mortality law with known functions for *q _{x}*,

Most mortality
laws were formed using the expression for the force of mortality in terms of
the expectation of life. We derive a condition for a function to describe the
expectation of life of some population. In particular we determine terms under
which the expectation of life increases with age. We find that the exponential
distribution law may serve to separate between the cases of increasing and
decreasing expectation of life with age. We study the cases in which the
expectation of life is given by a polynomial. In this case, we find a mortality
law for which the expectation of life is increasing in every age. For the case
of polynomial expectation of life, we are able to calculate both *l _{x}*
and