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Feature Articles

Pricing Ratchet Equity-Indexed Annuities with Early Surrender Risk in a CIR++ Model

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Pages 229-252 | Published online: 11 Sep 2013

REFERENCES

  • Alfonsi , A. 2010 . High Order Discretization Schemes for the CIR Process: Application to Affine Term Structure and Heston Models . Mathematics of Computation , 79 : 209 – 237 .
  • Amin , K. and Khanna , A. 1994 . Convergence of American Option Values from Discrete-to Continuous-Time Financial Models . Mathematical Finance , 4 : 289 – 304 .
  • Appolloni , E. , Caramellino , L. and Zanette , A. 2013 . A Robust Tree Method for Pricing American Options with CIR Stochastic Interest Rate . Available athttp://arxiv.org/abs/1305.0479
  • Brigo , D. and Mercurio , F. 2006 . Interest Rate Models—Theory and Practice , Berlin : Springer .
  • Costabile , M. , Gaudenzi , M. , Massabï¿ , I. and Zanette , A. 2009 . Evaluating Fair Premiums of Equity-Linked Policies with Surrender Option in a Bivariate Model . Insurance: Mathematics and Economics , 41 : 317 – 338 .
  • Cox , J. , Ross , S. A. and Rubinstein , M. 1979 . Option Pricing: A Simplified Appoach . Journal of Financial Economics , 7 : 229 – 264 .
  • Cox , J. C. , Ingersoll , J. and Ross , S. 1985 . A Theory of the Term Structure of Interest Rates . Econometrica , 53 : 385 – 407 .
  • Ethier , S. N. and Kurtz , T. 1986 . Markov Processes: Characterization and Convergence , New York : John Wiley & Sons .
  • Gaudenzi , M. , Lepellere , M. A. and Zanette , A. 2010 . The Singular Point Method for Pricing Path-Dependent Options . Journal of Computational Finance , 14 : 29 – 56 .
  • Gerber , H. and Shiu , E. 2003 . Pricing Lookback Options and Dynamic Guarantees . North American Actuarial Journal , 7 : 48 – 67 .
  • Hardy , M. R. 2003 . Investment Guarantees: Modelling and Risk Management for Equity-Linked Life Insurance , New York : Wiley .
  • Hull , J. and White , A. 1994 . Numerical Procedures for Implementing Term Structure Models. I. . Journal of Derivatives , 2 : 7 – 16 .
  • Insured Retirement Institute . 2009 . Annuity Fact Book: A Guide to Information, Trends, and Data in the Annuity Industry , Washington, DC : Insured Retirement Institute. .
  • Kijima , M. and Wong , T. 2007 . Pricing of Ratchet Equity-Indexed Annuities Under Stochastic Interest Rate . Insurance: Mathematics and Economics , 41 : 317 – 338 .
  • Kim , Y. and Kunitomo , N. 1999 . Pricing options under Stochastic Interest Rates: A New Approach . Asia-pacific Financial Markets , 6 : 49 – 70 .
  • Kunitomo , N. and Takahashi , A. 2003 . On Validity of the Asymptotic Expansion Approach in Contingent Claim Analysis . Annals of Applied Probability , 13 : 914 – 952 .
  • Kushner , H. and Dupuis , P. G. 1992 . Numerical Methods for Stochastic Control Problems in Continous Time , Berlin : Springer Verlag .
  • Lin , X. D. and Tan , K. S. 2003 . Valuation of Equity-Indexed Annuities under Stochastic Interest Rates . North American Auctuarial Journal , 6 : 72 – 91 .
  • Nelson , D. B. and Ramaswamy , K. 1990 . Simple Binomial Processes as Diffusion Approximations in Financial Models . Review of Financial Studies , 3 : 393 – 430 .
  • Palmer , B. A. 2006 . Equity-Indexed Annuities: Fundamental Concepts and Issues . Report of Insurance Information Institute , Available at http://hbwinc.com/static/pdf/EIA-Booklet.pdf
  • Wei , J. 1996 . Valuing American Equity Options with a Stochastic Interest Rate: A Note . Journal of Financial Engineering , 2 : 195 – 206 .
  • Wilmott , P. 2002 . Cliquet Options and Volatility Models . Wilmott Magazine , 3 : 78 – 83 .

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