Calibrating affine stochastic mortality models using term assurance premiums

Vincenzo Russo, Rosella Giacometti, Sergio Ortobelli, Svetlozar Rachev and Frank Fabozzi ()

Insurance: Mathematics and Economics, 2011, vol. 49, issue 1, 53-60

Abstract: In this paper, we focus on the calibration of affine stochastic mortality models using term assurance premiums. We view term assurance contracts as a "swap" in which policyholders exchange cash flows (premiums vs. benefits) with an insurer analogous to a generic interest rate swap or credit default swap. Using a simple bootstrapping procedure, we derive the term structure of mortality rates from a stream of contract quotes with different maturities. This term structure is used to calibrate the parameters of affine stochastic mortality models where the survival probability is expressed in closed form. The Vasicek, Cox-Ingersoll-Ross, and jump-extended Vasicek models are considered for fitting the survival probabilities term structure. An evaluation of the performance of these models is provided with respect to premiums of three Italian insurance companies.

Keywords: Affine; stochastic; models; Bootstrapping; Calibration; Stochastic; force; of; mortality; Mortality; risk; Term; assurance; Vasicek; model; Cox-Ingersoll-Ross; model; Jump-extended; Vasicek; model (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167668711000229
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:49:y:2011:i:1:p:53-60

Access Statistics for this article

Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

More articles in Insurance: Mathematics and Economics from Elsevier
Bibliographic data for series maintained by Catherine Liu ().