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Расчеты Схем Гибкого Страхования

Author

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  • Мельников А.В.

    (Математический институт им. В.А. Стеклова, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada)

  • Молибога М.М.

    (Efficient Capital Management, LLC, Naperville, IL, USA)

Abstract

В работе, находящейся на стыке финансовой и актуарной математики, изучаются методы количественных расчетов премий и резервов для гибких схем страхования (equity-linked insurance schemes). Даются необходимые сведения и приводится описание основных подходов (актуарный резерв, статическое и динамическое хеджирование) к расчету таких инновационных схем. Особое внимание уделяется наиболее важному методу методу динамического хеджирования, который подробно разобран как для наиболее изученного случая полных рынков (модель Блэка-Шоулса), так и для совсем не изученного случая неполных рынков (обобщенная модель Башелье со стохастической волатильностью).

Suggested Citation

  • Мельников А.В. & Молибога М.М., 2003. "Расчеты Схем Гибкого Страхования," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 7(2), pages 139-172.
  • Handle: RePEc:scn:025886:16537809
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    References listed on IDEAS

    as
    1. Thomas Møller, 2001. "Hedging Equity-Linked Life Insurance Contracts," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(2), pages 79-95.
    2. Turnbull, Stuart M. & Wakeman, Lee Macdonald, 1991. "A Quick Algorithm for Pricing European Average Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(3), pages 377-389, September.
    3. Bacinello, Anna Rita & Ortu, Fulvio, 1993. "Pricing equity-linked life insurance with endogenous minimum guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 12(3), pages 245-257, June.
    4. Aase Nielsen, J. & Sandmann, Klaus, 1995. "Equity-linked life insurance: A model with stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 16(3), pages 225-253, July.
    5. Møller, Thomas, 1998. "Risk-Minimizing Hedging Strategies for Unit-Linked Life Insurance Contracts," ASTIN Bulletin, Cambridge University Press, vol. 28(1), pages 17-47, May.
    6. Boyle, Phelim P. & Hardy, Mary R., 1997. "Reserving for maturity guarantees: Two approaches," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 113-127, November.
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