Impact of Flexible Periodic Premiums on Variable Annuity Guarantees

REFERENCES

• Albrecher, H., P. Mayer, and W. Schoutens. 2008. General Lower Bounds for Arithmetic Asian Option Prices. Applied Mathematical Finance 15(2): 123–149.
   Google Scholar
• Andersen, L.B. 2007. Efficient Simulation of the Heston Stochastic Volatility Model. Available at SSRN 946405.
   Google Scholar
• Bauer, D., A. Kling, and J. Russ. 2008. A Universal Pricing Framework for Guaranteed Minimum Benefits in Variable Annuities. ASTIN Bulletin 38(2): 621–651.
   Web of Science ®Google Scholar
• Bernard, C., and M. Kwak. 2016. Semi-static Hedging of Variable Annuities. Insurance: Mathematics and Economics 67: 173–186.
   Web of Science ®Google Scholar
• Boyle, P., and X. Lin. 1997. Bounds on Contingent Claims Based on Several Assets. Journal of Financial Economics 46: 383–400.
   Web of Science ®Google Scholar
• Boyle, P.P., and M. R. Hardy. 2003. Guaranteed Annuity Options. ASTIN Bulletin 33(2): 125–152.
   Google Scholar
• Broadie, M., and J. Detemple. 1995. American Capped Call Options on Dividend-Paying Assets. Review of Financial Studies 8(1): 161–191.
   Web of Science ®Google Scholar
• Broadie, M., and Ö. Kaya. 2006. Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes. Operations Research 54(2): 217–231.
   Web of Science ®Google Scholar
• Chi, Y., and S. X. Lin. 2012. Are Flexible Premium Variable Annuities Underpriced? ASTIN Bulletin 42(2): 559–574.
   Web of Science ®Google Scholar
• Coleman, T.F., Y. Li, and M.-C. Patron. 2006. Hedging Guarantees in Variable Annuities Under Both Equity and Interest Rate Risks. Insurance: Mathematics and Economics 38(2): 215–228.
   Web of Science ®Google Scholar
• Deelstra, G., G. Rayée, S. Vanduffel, and J. Yao. 2014. Using Model-Independent Lower Bounds to Improve Pricing of Asian Style Options in Lévy Markets. ASTIN Bulletin 44(2): 237–276.
   Web of Science ®Google Scholar
• Denuit, M., J. Dhaene, M. Goovaerts, and R. Kaas. 2006. Actuarial Theory for Dependent Risks: Measures, Orders and Models. New York: John Wiley & Sons.
   Google Scholar
• Dhaene, J., M. Denuit, M. J. Goovaerts, R. Kaas, and D. Vyncke. 2002. The Concept of Comonotonicity in Actuarial Science and Finance: Theory. Insurance: Mathematics and Economics 31(1): 3–33.
   Web of Science ®Google Scholar
• Dhaene, J., S. Vanduffel, M. Goovaerts, R. Kaas, Q. Tang, and D. Vyncke. 2006. Risk Measures and Comonotonicity: A Review. Stochastic models 22(4): 573–606.
   Web of Science ®Google Scholar
• Dhaene, J., S. Vanduffel, M. J. Goovaerts, R. Kaas, and D. Vyncke. 2005. Comonotonic Approximations for Optimal Portfolio Selection Problems. Journal of Risk and Insurance 72(2): 253–300.
   Web of Science ®Google Scholar
• Dickson, D.C., M. R. Hardy, and H. R. Waters. 2013. Actuarial Mathematics for Life Contingent Risks. 2nd ed. Cambridge: Cambridge University Press.
   Google Scholar
• Feng, R., X. Jing, and J. Dhaene. 2016. Comonotonic Approximations of Risk Measures for Variable Annuity Guaranteed Benefits with Dynamic Policyholder Behavior. doi:. Forthcoming. doi:10.1016/j.cam.2016.07.015.
   Google Scholar
• Fusai, G., and A. Meucci. 2008. Pricing Discretely Monitored Asian Option under Lévy Processes. Journal of Banking and Finance 32: 2076–2088.
   Web of Science ®Google Scholar
• Hardy, M. 2000. Hedging and Reserving for Single-Premium Segregated Fund Contracts. North American Actuarial Journal 4(2): 63–74.
   Google Scholar
• Hardy, M.R. 2003. Investment Guarantees: Modelling and Risk Management for Equity-Linked Life Insurance. New York: Wiley.
   Google Scholar
• Heston, S.L. 1993. A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. Review of Financial Studies 6(2): 327–343.
   Web of Science ®Google Scholar
• Kaas, R., J. Dhaene, D. Vyncke, M. Goovaerts, and M. Denuit. 2002. A Simple Geometric Proof That Comonotonic Risks Have the Convex-largest Sum. ASTIN Bulletin 32(1): 71–80.
   Google Scholar
• Karlin, S. 1968. Total Positivity. Vol. . Stanford: Stanford University Press.
   Google Scholar
• Kolkiewicz, A., and Y. Liu. 2012. Semi-Static Hedging for GMWB in Variable Annuities. North American Actuarial Journal 16: 112–140.
   Google Scholar
• Marshall, C., M. Hardy, and D. Saunders. 2012. Measuring the Effectiveness of Static Hedging Strategies for a Guaranteed Minimum Income Benefit. North American Actuarial Journal 16(2): 143–182.
   Google Scholar
• Marshall, C., M. R. Hardy, and D. Saunders. 2010. Valuation of a Guaranteed Minimum Income Benefit. North American Actuarial Journal 14(1): 40–58.
   Google Scholar
• New York Life. 2011. Facts about the New York Life Flexible Premium Variable Annuity. http://www.newyorklife.com/nyl-internet/file-types/NYL-Flexible-Premium-VA-Fact-Sheet.pdf.
   Google Scholar
• Palmer, B. 2006. Equity-Indexed Annuities: Fundamental Concepts and Issues. Working paper.
   Google Scholar
• Rogers, L., and Z. Shi. 1995. The Value of an Asian Option. Journal of Applied Probability 32: 1077–1088.
   Web of Science ®Google Scholar
• Vanduffel, S., J. Dhaene, and M. Goovaerts. 2005. On the Evaluation of Saving Consumption Plans. Journal of Pension Economics and Finance 4(1): 17–30.
   Google Scholar
• Vanduffel, S., X. Chen, J. Dhaene, M. Goovaerts, L. Henrard, and R. Kaas. 2008a. Optimal Approximations for Risk Measures of Sums of Lognormals Based on Conditional Expectations. Journal of Computational and Applied Mathematics 221(1): 202–218.
   Web of Science ®Google Scholar
• Vanduffel, S., Z. Shang, L. Henrard, J. Dhaene, and E. A. Valdez. 2008b. Analytic Bounds and Approximations for Annuities and Asian Options. Insurance: Mathematics and Economics 42(3): 1109–1117.
   Web of Science ®Google Scholar