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Equity-linked life insurance based on traditional products: the case of select products. (English) Zbl 1405.91244

Summary: Select products are a German version of equity-indexed annuities common in the US and Canada, which are constructed by using a traditional life insurance contract and suitably leveraging the annual surplus distribution. In this paper, we aim to provide holistic insight into select products by means of a comparison with American equity-indexed annuities and a detailed description of design, hedging and accounting issues. We put a special emphasis on the unique features of traditional life insurance (particularly the collective savings process) which have been widely neglected in previous literature. In addition, we present a model framework for the most prominent type of select products, compare the product design when offered by a bank or an insurer, and compare its risk-return profile with traditional policies. Our analysis confirms that the current attractiveness of such products arises from the unique features of traditional life insurance by pooling financial risks as well as the utilization of the balance sheet in the current low interest rate environment. We discuss these aspects in detail and further address benefits as well as detriments of these products depending on the market conditions.

MSC:

91B30 Risk theory, insurance (MSC2010)
62P05 Applications of statistics to actuarial sciences and financial mathematics
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[1] Albrecht P (2010) 30 Jahre Kapitalanlageperformance der deutschen Lebensversicherer. Zeitschrift Versicherungswirtschaft 65(12):880-884
[2] Allianz (2016) Versicherungsbedingungen: Baustein Altersvorsorge - Zukunftsrente Index-Select E24 (FID). https://www.allianz.de. Accessed 01 April 2017
[3] Allianz (2016) IndexSelect Gesamtübersicht: Aktuelle Konditionen und Werte seit Einführung 10/2007 · Zbl 1083.62545
[4] Allianz (2016) Allianz IndexSelect: Übersicht vergangener Caps. https://forum.allianz.de/service/betriebliche-altersvorsorge-bedingungen/frage/allianz-indexselect-uebersicht-vergangener-caps#pid=6294&uid=6294&aid=8809&type=Question. Accessed 14 Nov 2016
[5] American Academy of Actuaries (2002) Frequently asked questions regarding the valuation of embedded derivatives in life insurance and annuity contracts in accordance with FAS 133, Draft, Life Financial Reporting Committee. https://www.actuary.org/files/fas133_june02.4.pdf/fas133_june02.4_0.pdf. Accessed 27 Sept 2016
[6] Bernard C, Boyle PP (2011) A natural hedge for equity indexed annuities. Ann Actuar Sci 5(2):211-230 · doi:10.1017/S1748499511000066
[7] Brennan MJ, Schwartz ES (1976) The pricing of equity-linked life insurance policies with an asset value guarantee. J Financ Econ 3(3):195-213 · doi:10.1016/0304-405X(76)90003-9
[8] Brigo D, Mercurio F (2006) Interest rate models—theory and practice. Springer, Berlin · Zbl 1109.91023
[9] Døskeland TM, Nordahl HA (2008) Intergenerational effects of guaranteed pension contracts. Geneva Risk Insur Rev 33(1):19-46 · doi:10.1057/grir.2008.3
[10] Financial Accounting Standards Board (FASB) (2006) Embedded derivatives: application of statement 97 and statement 133 to equity-indexed annuity contracts. Statement 133 implementation Issue No. B30 · Zbl 1084.60512
[11] Financial Accounting Standards Board (FASB) (2006) Embedded derivatives: allocating the basis of a hybrid instrument to the host contract and the embedded derivative. Statement 133 implementation Issue No. B6 · Zbl 1372.91113
[12] Financial Accounting Standards Board (FASB) (2006) Embedded derivatives: equity-indexed annuity contracts with embedded derivatives. Statement 133 implementation Issue No. B29 · Zbl 1084.91521
[13] Gaillardetz P, Lakhmiri JY (2011) A new premium principle for equity-indexed annuities. J Risk Insur 78(1):245-265 · doi:10.1111/j.1539-6975.2010.01382.x
[14] Garland J (2016) How do indexed annuities work? Financial Professionals Group. https://www.fpgonline.com/how-do-index-annuities-actually-work/. Accessed 30 Sept 2016
[15] Gatzert N, Kling A (2007) Analysis of participating life insurance contracts: a unification approach. J Risk Insur 74(3):547-570 · doi:10.1111/j.1539-6975.2007.00224.x
[16] Gerber HU, Shiu ESW (2003) Pricing perpetual fund protection with withdrawal option. N Am Actuar J 7(2):60-77 · Zbl 1084.60512 · doi:10.1080/10920277.2003.10596087
[17] Goecke O (2013) Pension saving schemes with return smoothing mechanism. Insur Math Econ 53(3):678-689 · Zbl 1290.91087 · doi:10.1016/j.insmatheco.2013.09.010
[18] Guillén M, Jørgensen PL, Nielsen JP (2006) Return smoothing mechanisms in life and pension insurance: path-dependent contingent claims. Insur Math Econ 38(2):229-252 · Zbl 1159.91405 · doi:10.1016/j.insmatheco.2005.06.014
[19] Herde A (1997) Indexgebundene Lebensversicherung: Was noch zu klären ist. Versicherungswirtschaft 52(19):1354-1356
[20] Hieber P, Korn R, Scherer M (2015) Analyzing the effect of low interest rates on the surplus participation of life insurance policies with different annual interest rate guarantees. Eur Actuar J 5(1):11-28 · Zbl 1329.91065 · doi:10.1007/s13385-014-0102-3
[21] Hoevenaars RPMM, Ponds EHM (2008) Valuation of intergenerational transfers in funded collective pension schemes. Insur Math Econ 42(2):578-593 · Zbl 1152.91587 · doi:10.1016/j.insmatheco.2007.06.007
[22] Jaimungal S, Young VR (2005) Pricing equity-linked pure endowments with risky assets that follow Lévy processes. Insur Math Econ 36(3):329-346 · Zbl 1242.60069 · doi:10.1016/j.insmatheco.2005.02.010
[23] Koranda A, Post S (2014) Mehrperiodiges Entscheidungsverhalten bei Lebensversicherungsverträgen mit Indexpartizipation unter Unsicherheit. Zeitschrift für die gesamte Versicherungswissenschaft 103(3):225-242 · doi:10.1007/s12297-014-0270-x
[24] Kuhlemeyer GA (2001) The equity index annuity: an examination of performance and regulatory concerns. Financ Serv Rev 9(4):327-342 · doi:10.1016/S1057-0810(01)00074-9
[25] Lee H (2003) Pricing equity-indexed annuities with path-dependent options. Insur Math Econ 33(3):677-690 · Zbl 1103.91368 · doi:10.1016/j.insmatheco.2003.09.006
[26] Maurer R, Mitchell OS, Rogalla R, Siegelin I (2016) Accounting and actuarial smoothing of retirement payouts in participating life annuities. Insur Math Econ 71:268-283 · Zbl 1371.91105 · doi:10.1016/j.insmatheco.2016.09.007
[27] Palmer BA (2006) Equity-indexed annuities: fundamental concepts and issues. Working Paper, Information Insurance Institute. http://www.iii.org/sites/default/files/EIA_paper.pdf. Accessed 30 March 2016
[28] Reichenstein W (2009) Financial analysis of equity-indexed annuities. Financ Serv Rev 18(4):291-311
[29] Reuss A, Russ J, Wieland J (2015) Participating life insurance contracts under risk based solvency frameworks: how to increase capital efficiency by product design. In: Glau K, Scherer M, Zagst R (eds.) Innovations in quantitative risk management, vol 99. Springer proceedings in mathematics & statistics, Springer, pp 185-208. https://link.springer.com/chapter/10.1007/978-3-319-09114-3_11
[30] Reuss A, Russ J, Wieland J (2016) Participating life insurance products with alternative guarantees: reconciling policyholders’ and insurers’ interests. Risks 4(2):1-18 · doi:10.3390/risks4020011
[31] Russ J (1999) Die aktienindexgebundene Lebensversicherung mit garantierter Mindestverzinsung in Deutschland. Ifa-Verlag, Ulm
[32] Sandberg D (2005) In Reply to “Comments to the securities and exchange commission concerning equity-indexed annuities”. American Academy of Actuaries. https://www.actuary.org/files/Comments_to_SEC_about_equity_indexed_annuities_12_2005.pdf. Accessed 30 Sept 2016
[33] Society of Actuaries (2005) Hot topics in fixed annuities. Life Spring Meet Proc 31(1). https://www.soa.org/library/proceedings/record-of-the-society-of-actuaries/2000-09/2005/may/rsa05v31n164pd.pdf. Accessed 29 Sept 2016
[34] The Phoenix Companies, Inc. (2012) Understanding your phoenix indexed annuity and the “Separate Account” (“Segregated Asset Account”). https://www.phoenixwm.phl.com/servlet/DocDelivery?DocId=Mark_Mat_Phx_Separate_Accouts_Flyer_A5101SA.pdf&DocType=0. Accessed 05 Oct 2016
[35] Tiong S (2000) Valuing equity-indexed annuities. N Am Actuar J 4(4):149-163 · Zbl 1083.62545 · doi:10.1080/10920277.2000.10595945
[36] VanderPal G (2004) The advantages and disadvantages of equity index annuities. J Financ Plan 17(1):56-63
[37] VanderPal G, Marrion J, Babbel DF (2011) Real-world index annuity returns. J Financ Plan 24(3):50-59
[38] Van Heuvelen M (2010) Duplicative, confusing, and legally inaccurate: the SEC’s attempt to regulate fixed indexed annuities. J Corp Law 35(3):663-690
[39] Vasicek O (1977) An equilibrium characterization of the term structure. J Financ Econ 5(2):177-188 · Zbl 1372.91113 · doi:10.1016/0304-405X(77)90016-2
[40] Wiland D (2014) Inforce Management, Report at 2014 ACHS Fall Meeting, New England Actuaries. http://newenglandactuaries.com/Resources.ashx?id=902c74ed-2c9d-42d5-ab1e-10ecc03bc28a. Accessed 30 Sept 2016 · Zbl 1083.62545
[41] Young VR (2003) Equity-indexed life insurance: pricing and reserving using the principle of equivalent utility. N Am Actuar J 7(1):68-86 · Zbl 1084.91521 · doi:10.1080/10920277.2003.10596078
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