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Pricing surrender risk in Ratchet equity-index annuities under regime-switching Lévy processes

Recurso electrónico / Electronic resource
Registro MARC
Tag12Valor
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040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
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100  ‎$0‎MAPA20170014492‎$a‎Kolkiewicz, Adam W.
24510‎$a‎Pricing surrender risk in Ratchet equity-index annuities under regime-switching Lévy processes‎$c‎Adam W. Kolkiewicz, Fangyuan Sally Lin
520  ‎$a‎This article presents a numerical method of pricing the surrender risk in Ratchet equity-index annuities (EIAs). We assume that log-returns of the underlying fund belong to a class of regime-switching models where the parameters are allowed to change randomly according to a hidden Markov chain. The defining feature of these models is the fact that in each regime the characteristic function of log-returns is assumed to have an analytical form. The presented method provides an unified pricing framework within this class and includes the recently developed COS method as a particular case. This aspect of the method is particularly useful when pricing Ratchet options embedded in EIAs, for which the COS method exhibits a low rate of convergence. Our numerical results confirm that for models considered in this article the proposed approach improves convergence of the COS method without increasing the computational burden.
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
7001 ‎$0‎MAPA20170014782‎$a‎Sally Lin, Fangyuan
7730 ‎$w‎MAP20077000239‎$t‎North American actuarial journal‎$d‎Schaumburg : Society of Actuaries, 1997-‎$x‎1092-0277‎$g‎04/09/2017 Tomo 21 Número 3 - 2017 , p. 433-457