Fair valuation of participating policies with surrender options and regime switching

Insurance: Mathematics and Economics - Tập 37 - Trang 533-552 - 2005
Tak Kuen Siu1
1Department of Actuarial Mathematics and Statistics, School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK

Tài liệu tham khảo

Bacinello, 2001, Fair pricing of life insurance participating policies with a minimum interest rate guaranteed, ASTIN Bull., 31, 275, 10.2143/AST.31.2.1006 Bacinello, 2003, Fair valuation of a guaranteed life insurance participating contract embedding a surrender option, J. Risk Insur., 70, 461, 10.1111/1539-6975.t01-1-00060 Ballotta, 2003, Guarantees in with-profit and unitised with-profit life insurance contracts: fair valuation problem in presence of the default option Ballotta, A.R., 2004. Alternative framework for the fair valuation of participating life insurance contracts. Working Paper. Cass Business School, City University, London Barone-Adesi, 1987, Efficient analytic approximation of american option values, J. Finance, 42, 301, 10.2307/2328254 Broadie, 1997, Pricing american-style securities using simulations, J. Econ. Dyn. Contr., 21, 1323, 10.1016/S0165-1889(97)00029-8 Buffington, 2002, American options with regime switching, Int. J. Theoret. Appl. Finance, 5, 497, 10.1142/S0219024902001523 Chu, C.C., Kwok, Y.K., 2005. Pricing participating policies with rate guarantees and bonuses. Working Paper. Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong Elliott, 1994 Elliott, 2004 Elliott, R.J., Chan, L.L., Siu, T.K., 2005. Option pricing and Esscher transform under regime switching. Ann. Finance, in press. Gerber, 1994, Option pricing by Esscher transforms (with discussions), Trans. Soc. Actuar., 46, 99 Grosen, 2000, Fair valuation of life insurance liabilities: the impact of interest rate guarantees, surrender options, and bonus policies, Insur.: Math. Econ., 26, 37, 10.1016/S0167-6687(99)00041-4 Grosen, 2002, Life insurance liabilities at market value: an analysis of insolvency risk, bonus policy, and regulatory intervention rules in a barrier option framework, J. Risk Insur., 69, 63, 10.1111/1539-6975.00005 Guo, 2001, Information and option pricings, Quant. Finance, 1, 38, 10.1080/713665550 Guo, 2004, Closed-form solutions for perpetual american put options with regime switching, SIAM J. Appl. Math., 64, 2034, 10.1137/S0036139903426083 Hansen, 2000, Analytical valuation of american-style asian options, Manage. Sci., 46, 1116, 10.1287/mnsc.46.8.1116.12027 Harrison, 1979, Martingales and arbitrage in multiperiod securities markets, J. Econ. Theory, 20, 381, 10.1016/0022-0531(79)90043-7 Harrison, 1981, Martingales and stochastic integrals in the theory of continuous trading, Stochast. Process. Appl., 11, 215, 10.1016/0304-4149(81)90026-0 Harrison, 1983, A stochastic calculus model of continuous trading: complete markets, Stochast. Process. Appl., 15, 313, 10.1016/0304-4149(83)90038-8 Karatzas, 1988, On the pricing of the american option, Appl. Math. Optimiz., 17, 37, 10.1007/BF01448358 Karatzas, 1989, Optimization problems in the theory of continuous trading, SIAM J. Contr. Optimiz., 27, 1221, 10.1137/0327063 Øksendal, 2003 Priel, 2001, On pricing and reserving with-profits life insurance contracts, Appl. Math. Finance, 8, 145, 10.1080/13504860110111279 Siu, T.K., 2005. On fair valuation of participating life insurance policies with regime switching, submitted for Publication. Tilley, 1993, Valuing american options in a path simulation model, Trans. Soc. Actuar., 45, 83 Wilkie, 1987, An option pricing approach to bonus policy, J. Inst. Actuar., 114, 21, 10.1017/S0020268100019004 Willder, M., 2004. An option pricing approach to pricing guarantees given under unitised with-profits policies. Ph.D. Thesis. Heriot-Watt University, pp. 1–280.