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Articles

A lattice-based model to evaluate variable annuities with guaranteed minimum withdrawal benefits under a regime-switching model

Pages 231-244 | Accepted 01 Nov 2015, Published online: 14 Dec 2015

References

  • Bacinello, A. R., Millossovich, P. & Montealegre, A. (2014). The valuation of GMWB variable annuities under alternative fund distribution and policyholder behaviours. Scandinavian Actuarial Journal. doi:10.1080/03461238.2014.954608
  • Bacinello, A. R., Millossovich, P., Olivieri, A. & Pitacco, E. (2011). Variable annuities: a unifying valuation approach. Insurance: Mathematics and Economics 49, 285–297.
  • Bauer, D., Kling, A. & Russ, J. (2008). A universal pricing framework for guaranteed minimum benefits in variable annuities. ASTIN Bulletin 38, 621–651.
  • Bollen, N. (1998). Valuing options in regime-switching models. Journal of Derivatives 6, 38–49.
  • Chen, Z. & Forsyth, P. A. (2008). A numerical scheme for the impulse control formulation for pricing variable annuities with a guaranteed minimum withdrawal benefit (GMWB). Numerische Mathematik 109, 535–569.
  • Chen, Z., Vetzal, K. & Forsyth, P. H. (2008). The effect of modelling parameters on the value of GMWB guarantees. Insurance: Mathematics and Economics 43, 165–173.
  • Dai, M., Kwok, Y. K. & Zong, J. (2008). Guaranteed minimum withdrawal benefit in variable annuities. Mathematical Finance 18, 595–611.
  • Hardy, M. R. (2001). A regime-switching model of long term stock returns. North American Actuarial Journal 5, 41–53.
  • Hardy, M. R., Freeland, R. K. & Till, M. C. (2006). Validation of long-term equity return models for equity-linked guarantees. North American Actuarial Journal 10, 28–47.
  • Kamrad, B. & Ritchken, P. (1991). Multinomial approximating models for options with k state variables. Management Science 37, 1640–1652.
  • Milevsky, M. A. & Salisbury, T. S. (2006). Financial valuation of guaranteed minimum withdrawal benefits. Insurance: Mathematics and Economics 38, 21–38.
  • Peng, J., Leung, K. S. & Kwok, Y. K. (2012). Pricing guaranteed minimum withdrawal benefits under stochastic interest rates. Quantitative Finance 12, 933–941.
  • Yang, S. S. & Dai, T. S. (2013). A flexible tree for evaluating guaranteed minimum withdrawal benefits under deferred life annuity contracts with various provisions. Insurance: Mathematics and Economics 52, 231–242.
  • Yuen, F. L. & Yang, H. (2010). Option pricing with regime switching by trinomial tree method. Journal of Computational and Applied Mathematics 233, 1821–1833.

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