Martingales in life insurance
- 1 October 1984
- journal article
- research article
- Published by Taylor & Francis in Scandinavian Actuarial Journal
- Vol. 1984 (4) , 210-230
- https://doi.org/10.1080/03461238.1984.10413769
Abstract
This paper presents a general probabilistic model, including stochastic discounting, for life insurance contracts, either a single policy or a portfolio of policies. In § 4 we define prospective reserves and annual losses in terms of our model and we show that these are generalisations of the corresponding concepts in conventional life insurance mathematics. Our main results are in § 5 where we use the martingale property of the loss process to derive upper bounds for the probability of ruin for the portfolio. These results are illustrated by two numerical examples in § 6.Keywords
This publication has 4 references indexed in Scilit:
- The moments and distributions of actuarial functionsJournal of the Institute of Actuaries, 1978
- Probability TheoryPublished by Springer Nature ,1978
- New bases for non-cancellable sickness insurance in SwedenScandinavian Actuarial Journal, 1969
- Estimates and test procedures in connection with stochastic models for deaths, recoveries and transfers between different states of healthScandinavian Actuarial Journal, 1965