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Statistika: Statistics and Economy Journal
Article . 2022 . Peer-reviewed
Data sources: Crossref
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Modelling Marital Reverse Annuity Contract in a Stochastic Economic Environment

Authors: Joanna Dębicka; Stanisław Heilpern; Agnieszka Marciniuk;

Modelling Marital Reverse Annuity Contract in a Stochastic Economic Environment

Abstract

In the paper, we present the methodology of calculating the benefit of a marriage reverse annuity using the multiple state model for marriage life insurance. We model the probabilistic structure and cash flows arising from marriage reverse annuity contracts in the case of the joint-life status and the last surviving status assuming that the spouses' future lifetimes are independent. Usually, it is assumed that the interest rate is constant and the same through the years. It is not a realistic assumption. Therefore, this article's purpose is to calculate benefits under the assumption that the interest rate is a stochastic process or a fuzzy number model of the constant interest rate. We conduct a comparative analysis of the amount of benefit (taking into account the different frequency of their payment) for the different models of interest rates.

Keywords

reverse annuity contract, stochastic interest rate, the joint-life status, Statistics, the last surviving status, fuzzy interest rate, HA1-4737

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Published in a Diamond OA journal
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