Multiple Life Insurance

Hans U. Gerber ()
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Hans U. Gerber: Université de Lausanne, Ecole des H. E. C.

Chapter Chapter 8 in Life Insurance Mathematics, 1997, pp 83-92 from Springer

Abstract: Abstract Consider m lives with initial ages x 1, x 2, …, x m . For simplicity we denote the future lifetime of the kth life, T(x k ) in the notation of Chapter 2, by T k (k = 1, …, m). On the basis of these m elements we shall define a status u with a future lifetime T(u). We shall accordingly denote by t p u the conditional probability that the status u is still intact at time t, given that the status existed at time 0; the symbols q u , µ u+t etc., are defined in a similar way. We shall also consider annuities which are defined in terms of u. The symbol ä u , for instance, denotes the net single premium of an annuity-due with 1 unit payable annually, as long as u remains intact. We shall also analyse insurances with a benefit payable at the failure of the status u. The symbol Ā u would for instance denote the net single premium of an insured benefit of 1 unit, payable immediately upon the failure of u.

Keywords: Failure Time; Life Insurance; Difference Table; Future Lifetime; Payment Stream (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-3-662-03460-6_8

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