@article{TVP_2016_61_1_a1,
author = {T. Ben Zineb and E. Gobet},
title = {Analytical approximation of variable annuities for small volatility and small withdrawal},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {5--25},
year = {2016},
volume = {61},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2016_61_1_a1/}
}
TY - JOUR AU - T. Ben Zineb AU - E. Gobet TI - Analytical approximation of variable annuities for small volatility and small withdrawal JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2016 SP - 5 EP - 25 VL - 61 IS - 1 UR - http://geodesic.mathdoc.fr/item/TVP_2016_61_1_a1/ LA - ru ID - TVP_2016_61_1_a1 ER -
T. Ben Zineb; E. Gobet. Analytical approximation of variable annuities for small volatility and small withdrawal. Teoriâ veroâtnostej i ee primeneniâ, Tome 61 (2016) no. 1, pp. 5-25. http://geodesic.mathdoc.fr/item/TVP_2016_61_1_a1/
[1] Bauer D., Bergmann D., Kiesel R., “On the risk-neutral valuation of life insurance contracts with numerical methods in view”, ASTIN Bull., 40:1 (2010), 65–95 | DOI | MR | Zbl
[2] Ben Zineb T., Méthodes numériques efficaces pour la valorisation des GMWB, Ph.D. thesis, Ecole Polytechnique, Paris
[3] Bompis R., Gobet E., “Asymptotic and non asymptotic approximations for option valuation”, Recent Developments in Computational Finance: Foundations, Algorithms and Applications, 2012, 159–241, World Scientific, Hackensack | MR
[4] Ben Zineb T., Gobet E., “Preliminary control variates to improve empirical regression methods”, Monte-Carlo Methods and Appl., 19:4 (2013), 331–354 | MR | Zbl
[5] Bauer D., Kling A., Russ J., “A universal pricing framework for guaranteed minimum benefits in variable annuities”, ASTIN Bull., 38:2 (2008), 621–651 | DOI | MR | Zbl
[6] Biffis E., Millossovich P., “The fair value of guaranteed annuity options”, Scand. Actuar. J., 1:1 (2006), 23–41 | DOI | MR | Zbl
[7] Brigo D., Mercurio F., Interest Rate Models: Theory and Practice, Springer, Berlin, 2006, 981 pp. | MR | Zbl
[8] Bacinello A. R., Millossovich P., Olivieri A., Pitacco E., “Variable annuities: a unifying valuation approach”, Insurance Math. Econom., 49:3 (2011), 285–297 | DOI | MR
[9] Chen Z., Forsyth P. A., “A numerical scheme for the impulse control formulation for pricing variable annuities with a guaranteed minimum withdrawal benefit (GMWB)”, Numer. Math., 109:4 (2008), 535–569 | DOI | MR | Zbl
[10] Dai M., Kwok Y. K., Zong J., “Guaranteed minimum withdrawal benefit in variable annuities”, Math. Finance, 18:4 (2008), 595–611 | DOI | MR | Zbl
[11] Étoré P., Gobet E., “Stochastic expansion for the pricing of call options with discrete dividends”, Appl. Math. Finance, 19:3 (2012), 233–264 | DOI | MR
[12] Friz P. K., Gatheral J., Gulisashvili A., Jacquier A., Teichmann J. (eds.), Large Deviations and Asymptotic Methods in Finance, Springer-Verlag, Berlin, 2015, 590 pp. | MR | Zbl
[13] Glasserman P., Monte Carlo methods in Financial Engineering, Springer-Verlag, New York, 2004, 596 pp. | MR | Zbl
[14] Gerber H. U., Shiu E. S. W., Yang H., “Valuing equity-linked death benefits and other contingent options: a discounted density approach”, Insurance Math. Econom., 51:1 (2012), 73–92 | DOI | MR | Zbl
[15] Ledlie M. C., Corry D. P., Finkelstein G. S., Ritchie A. J., Su K., Wilson D. C. E., “Variable annuities”, British Actuar. J., 14:2 (2008), 327–389 | DOI
[16] Møller T., “Risk-minimizing hedging strategies for unit-linked life insurance contracts”, ASTIN Bulletin, 28:1 (1998), 17–47 | DOI
[17] Møller T., “Risk-minimizing hedging strategies for insurance payment processes”, Finance Stoch., 5:4 (2001), 419–446 | DOI | MR
[18] Musiela M., Rutkowski M., Martingale Methods in Financial Modelling, Springer, Berlin, 2005, 636 pp. | MR | Zbl
[19] Milevsky M. A., Salisbury T. S., “Financial valuation of guaranteed minimum withdrawal benefits”, Insurance Math. Econom., 38:1 (2006), 21–38 | DOI | MR | Zbl
[20] Revuz D., Yor M., Continuous Martingales and Brownian Motion, Springer, Berlin, 1999, 602 pp. | MR | Zbl
[21] Ulm E. R., “Analytic solution for return of premium and rollup guaranteed minimum death benefit options under some simple mortality laws”, ASTIN Bull., 38:2 (2008), 543–563 | DOI | MR | Zbl
[22] Vanduffel S., Shang Z., Henrard L., Dhaene J., Valdez E. A., “Analytic bounds and approximations for annuities and Asian options”, Insurance Math. Econom., 42:3 (2008), 1109–1117 | DOI | MR | Zbl