Market value of life insurance contracts under stochastic interest rates and default risk

被引:42
|
作者
Bernard, C
Le Courtois, O
Quittard-Pinon, F [1 ]
机构
[1] Univ Lyon 1, Grad Sch Arctuarial Studies, ISFA, F-69365 Lyon, France
[2] EM Lyon Grad Sch Management, Lyon, France
来源
INSURANCE MATHEMATICS & ECONOMICS | 2005年 / 36卷 / 03期
关键词
participating life insurance policies; contingent claims valuation; default risk; stochastic interest rates; Fortet's equation;
D O I
10.1016/j.insmatheco.2005.01.002
中图分类号
F [经济];
学科分类号
02 ;
摘要
The purpose of this article is to value some life insurance contracts in a stochastic interest rate environment taking into account the default risk of the underlying insurance company. The participating life insurance contracts considered here can be expressed as portfolios of barrier options as shown by Grosen and Jorgensen [J. Risk Insurance 64 (3) (1997) 481-503]. In order to price these options, the Longstaff and Schwartz [J. Finance 50 (3) (1995) 789-820] methodology is used with the Collin-Dufresne and Goldstein [J. Finance 56 (5) (2001) 1929-1957] correction. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:499 / 516
页数:18
相关论文
共 50 条
  • [31] EQUITY-LINKED LIFE-INSURANCE - A MODEL WITH STOCHASTIC INTEREST-RATES
    NIELSEN, JA
    SANDMANN, K
    INSURANCE MATHEMATICS & ECONOMICS, 1995, 16 (03): : 225 - 253
  • [32] Impact of interest rates on the life insurance market development: Cross-country evidence
    Flores, Eduardo
    Franca de Carvalho, Joao Vinicius
    Sampaio, Joelson Oliveira
    RESEARCH IN INTERNATIONAL BUSINESS AND FINANCE, 2021, 58
  • [33] Default risk in interest rate derivatives with stochastic volatility
    Kim, Bomi
    Kim, Jeong-Hoon
    QUANTITATIVE FINANCE, 2011, 11 (12) : 1837 - 1845
  • [34] Dependent interest and transition rates in life insurance
    Buchardt, Kristian
    INSURANCE MATHEMATICS & ECONOMICS, 2014, 55 : 167 - 179
  • [35] Importance of interest rates for life insurance product
    Sakalova, Katarina
    Krcova, Ingrid ondrejkova
    MANAGING AND MODELLING OF FINANCIAL RISKS - 8TH INTERNATIONAL SCIENTIFIC CONFERENCE PROCEEDINGS, PT III, 2016, : 873 - 879
  • [36] Hedging of interest rates with futures contracts in the Mexican derivatives market
    Venegas-Martínez, F
    González-Aréchiga, B
    TRIMESTRE ECONOMICO, 2002, 69 (274): : 227 - 250
  • [37] The value of interest rate guarantees in participating life insurance contracts: Status quo and alternative product design
    Eling, Martin
    Holder, Stefan
    INSURANCE MATHEMATICS & ECONOMICS, 2013, 53 (03): : 491 - 503
  • [38] NONCONCAVE OPTIMAL INVESTMENT WITH VALUE-AT-RISK CONSTRAINT: AN APPLICATION TO LIFE INSURANCE CONTRACTS
    Thai Nguyen
    Stadje, Mitja
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (02) : 895 - 936
  • [39] A class of life insurance reserve model and risk analysis in a stochastic interest rate environment
    Jia, Niannian
    Jia, Changqing
    Qiu, Wei
    FRONTIERS OF COMPUTER SCIENCE IN CHINA, 2010, 4 (02): : 204 - 211
  • [40] A class of life insurance reserve model and risk analysis in a stochastic interest rate environment
    Niannian Jia
    Changqing Jia
    Wei Qiu
    Frontiers of Computer Science in China, 2010, 4 : 204 - 211