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Taxation and policyholder behavior: the case of guaranteed minimum accumulation benefits
Published online by Cambridge University Press: 05 January 2024
Abstract
This paper considers variable annuity (VA) contracts embedded with guaranteed minimum accumulation benefit (GMAB) riders when policyholder’s proceeds are taxed upon early surrender or maturity. These contracts promise the return of the premium paid by the policyholder, or a higher rolled-up value, at the end of the investment period. A partial differential equation valuation framework which exploits the numerical method of lines is used to determine fair fees that render the policyholder and insurer breakeven. Two taxation regimes are considered: one where capital gains are allowed to offset losses and a second where gains do not offset losses. Most insurance providers highlight the tax-deferred features of VA contracts. We show that the regime under which the insured is taxed significantly impacts prices. If losses are allowed to offset gains then this enhances the market, increasing the policyholder’s willingness to participate in the market compared to the case when losses are not allowed to offset gains. With fair fees from the policyholder’s perspective, we show that the net profit is generally positive for insurance companies offering the contract as a naked option without any hedge. We also show how investment policy, as reflected in the Sharpe ratio, impacts and interacts with policyholder persistency.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of The International Actuarial Association
References
Agnew, J.R. (2006) Do behavioral biases vary across individuals? Evidence from individual level 401 (k) data. Journal of financial and Quantitative Analysis, 41, 939–962.Google Scholar
AMP (2020) MyNorth Investment Guarantee Product Disclosure Statement - Part B. Retrieved from https://www.northonline.com.au/content/dam/product/mynorth/MyNorth_Investment_Guarantee_PDS.pdf.Google Scholar
Australian Taxation Office (2021) Capital Gains Tax. Retrieved from https://www.ato.gov.au/uploadedFiles/Content/IND/Downloads/Personal-investors-guide-to-capital-gains-tax-2021.pdf [accessed: 14-07-2022].Google Scholar
Australian Taxation Office (2022) Individual income tax rates. Retrieved from https://www.ato.gov.au/rates/individual-income-tax-rates/ [accessed: 12-09-2022].Google Scholar
Bacinello, A.R., Millossovich, P., Olivieri, A. and Pitacco, E. (2011) Variable annuities: A unifying valuation approach. Insurance: Mathematics and Economics, 49, 285–297.Google Scholar
Bateman, H., Eckert, C., Iskhakov, F., Louviere, J., Satchell, S. and Thorp, S. (2018) Individual capability and effort in retirement benefit choice. Journal of Risk and Insurance, 85, 483–512.Google Scholar
Bauer, D., Gao, J., Moenig, T., Ulm, E.R. and Zhu, N. (2017) Policyholder exercise behavior in life insurance: The state of affairs. North American Actuarial Journal, 21, 485–501.Google Scholar
Bauer, D., Kling, A. and Russ, J. (2008) A universal pricing framework for guaranteed minimum benefits in variable annuities. ASTIN Bulletin: The Journal of the IAA, 38, 621–651.Google Scholar
Bauer, D. and Moenig, T. (2023) Cheaper by the bundle: The interaction of frictions and option exercise in variable annuities. Journal of Risk and Insurance, 90, 459–486.Google Scholar
Bernard, C., MacKay, A. and Muehlbeyer, M. (2014) Optimal surrender policy for variable annuity guarantees. Insurance: Mathematics and Economics, 55, 116–128.Google Scholar
Bernard, C. and Moenig, T. (2019) Where less is more: Reducing variable annuity fees to benefit policyholder and insurer. Journal of Risk and Insurance, 86, 761–782.Google Scholar
Bernheim, B.D. (2002) Taxation and saving. Handbook of Public Economics, 3, 1173–1249.Google Scholar
Black, F. (1980) The tax consequences of long-run pension policy. Financial Analysts Journal, 36, 21–28.Google Scholar
Brown, J.R. and Poterba, J.M. (2006) Household ownership of variable annuities. Tax Policy and the Economy, 20, 163–191.Google Scholar
Calcagno, R. and Monticone, C. (2015) Financial literacy and the demand for financial advice. Journal of Banking & Finance, 50, 363–380.Google Scholar
Chen, A., Hieber, P. and Nguyen, T. (2019) Constrained non-concave utility maximization: An application to life insurance contracts with guarantees. European Journal of Operations Research, 273, 1119–1135.Google Scholar
Chiarella, C., Kang, B., Meyer, G.H. and Ziogas, A. (2009) The evaluation of American option prices under stochastic volatility and jump-diffusion dynamics using the method of lines. International Journal of Theoretical and Applied Finance, 12, 393–425.Google Scholar
Cici, G., Kempf, A. and Sorhage, C. (2017) Do financial advisors provide tangible benefits for investors? Evidence from tax-motivated mutual fund flows. Review of Finance, 21, 637–665.Google Scholar
Delong, Ł. (2014) Pricing and hedging of variable annuities with state-dependent fees. Insurance: Mathematics and Economics, 58, 24–33.Google Scholar
EIOPA (2011) Report on variable annuities. Retrieved from https://eiopa.europa.eu/Publications/Reports/Report-on-Variable-Annuities.pdf [accessed: 17-01-2019].Google Scholar
Finke, M.S., Huston, S.J. and Winchester, D.D. (2011) Financial advice: Who pays. Journal of Financial Counseling and Planning Volume, 22, 19.Google Scholar
Fischer, M. and Gallmeyer, M. (2016) Taxable and tax-deferred investing with the limited use of losses. Review of Finance, 21, 1847–1873.Google Scholar
FSMA (2023) La garantie de rendement légale. Retrieved from https://www.fsma.be/fr/la-garantie-de-rendement-legale [accessed: 03-07-2023].Google Scholar
Gentry, W.M. and Milano, J. (1998) Taxes and Investment in Annuities. Tech. rep., National Bureau of Economic Research.Google Scholar
Gentry, W.M. and Rothschild, C.G. (2010) Enhancing retirement security through the tax code: The efficacy of tax-based subsidies in life annuity markets. Journal of Pension Economics & Finance, 9, 185–218.Google Scholar
Gruber, J. and Poterba, J. (1994) Tax incentives and the decision to purchase health insurance: Evidence from the self-employed. The Quarterly Journal of Economics, 109, 701–733.Google Scholar
Hackethal, A., Haliassos, M. and Jappelli, T. (2012) Financial advisors: A case of babysitters? Journal of Banking & Finance, 36, 509–524.Google Scholar
Horneff, V., Maurer, R., Mitchell, O.S. and Rogalla, R. (2015) Optimal life cycle portfolio choice with variable annuities offering liquidity and investment downside protection. Insurance: Mathematics and Economics, 63, 91–107.Google Scholar
Ignatieva, K., Song, A. and Ziveyi, J. (2016) Pricing and hedging of guaranteed minimum benefits under regime-switching and stochastic mortality. Insurance: Mathematics and Economics, 70, 286–300.Google Scholar
Inkmann, J., Lopes, P. and Michaelides, A. (2010) How deep is the annuity market participation puzzle? The Review of Financial Studies, 24, 279–319.Google Scholar
Insured Retirement Institute (2022) IRI Issues 2021 Second Quarter Annuity Sales Report. Available on: https://www.irionline.org/news/article/iri-issues-second-quarter-2021-annuity-sales-report/.Google Scholar
IRS (2016) Publication 575 (2016), Pension and Annuity Income. Retrieved from https://www.irs.gov/publications/p575#en_US_2016_publink1000226873 [accessed: 20-02-2018].Google Scholar
Johnson, D.S., Parker, J.A. and Souleles, N.S. (2006) Household expenditure and the income tax rebates of 2001. American Economic Review, 96, 1589–1610.Google Scholar
Kang, B. and Ziveyi, J. (2018) Optimal surrender of guaranteed minimum maturity benefits under stochastic volatility and interest rates. Insurance: Mathematics and Economics, 79, 43–56.Google Scholar
Kélani, A. and Quittard-Pinon, F. (2017) Pricing and hedging variable annuities in a Lévy market: A risk management perspective. Journal of Risk and Insurance, 84, 209–238.Google Scholar
Lusardi, A. and Mitchell, O.S. (2011) Financial literacy around the world: An overview. Journal of Pension Economics & Finance, 10, 497–508.Google Scholar
Lusardi, A. and Mitchell, O.S. (2014) The economic importance of financial literacy: Theory and evidence. Journal of Economic Literature, 52, 5–44.Google Scholar
MacKay, A., Augustyniak, M., Bernard, C. and Hardy, M.R. (2017) Risk management of policyholder behavior in equity-linked life insurance. Journal of Risk and Insurance, 84, 661–690.Google Scholar
Meyer, G. and Van der Hoek, J. (1997) The valuation of American options with the method of lines. Advances in Futures and Options Research, 9, 265–286.Google Scholar
Meyer, G.H. (2015) The Time-Discrete Method of Lines for Options and Bonds: A PDE Approach, Singapore: World Scientific.Google Scholar
Milevsky, M.A. and Panyagometh, K. (2001) Variable annuities versus mutual funds: A Monte-Carlo analysis of the options. Financial Services Review, 10, 145–161.Google Scholar
Moenig, T. and Bauer, D. (2015) Revisiting the risk-neutral approach to optimal policyholder behavior: A study of withdrawal guarantees in variable annuities. Review of Finance, 20, 759–794.Google Scholar
Moenig, T. and Zhu, N. (2018) Lapse-and-reentry in variable annuities. Journal of Risk and Insurance, 85, 911–938.Google Scholar
Investor Service, Moody’s (2013) Unpredictable policyholder behavior challenges US life insurers’ variable annuity business. https://www.moodys.com.Google Scholar
Parker, J.A. (1999) The reaction of household consumption to predictable changes in social security taxes. American Economic Review, 89, 959–973.Google Scholar
Piscopo, G. and Rüede, P. (2018) What if variable annuity policyholders with guaranteed lifelong withdrawal benefit were rational? Journal of Risk and Insurance, 85, 203–217.Google Scholar
Poterba, J.M. (2002) Taxation, risk-taking, and household portfolio behavior. In Handbook of Public Economics, vol. 3, pp. 1109–1171. Elsevier.Google Scholar
Poterba, J.M. and Samwick, A.A. (2003) Taxation and household portfolio composition: US evidence from the 1980s and 1990s. Journal of Public Economics, 87, 5–38.Google Scholar
Prudential, UK (2018) Flexible Retirement Plan (with SIPP options). Retrieved from https://www.pru.co.uk/existing-customers/products/flexible-retirement-plan/ [accessed: 17-01-2019].Google Scholar
Russ, J. and Kling, A. (2006) Variable Annuities in Deutschland. Tech. rep., Institut für Finanz- und Aktuarwissenschaften in Ulm.Google Scholar
Shen, Y., Sherris, M. and Ziveyi, J. (2016) Valuation of guaranteed minimum maturity benefits in variable annuities with surrender options. Insurance: Mathematics and Economics, 69, 127–137.Google Scholar
Souleles, N.S. (1999) The response of household consumption to income tax refunds. American Economic Review, 89, 947–958.CrossRefGoogle Scholar
Stanley, M. (2021) Understanding variable annuities. Retrieved from https://prod-mssip.morganstanley.com/assets/pdfs/wealth-management-disclosures/understandingvariableannuities.pdf.Google Scholar
Tepper, I. (1981) Taxation and corporate pension policy. The Journal of Finance, 36, 1–13.Google Scholar
The Association of Superannuation Funds of Australia Limited (2020) Superannuation Statistics. Accessed: 20-04-2020.Google Scholar
Ulm, E.R. (2020) The effect of retirement taxation rules on the value of guaranteed lifetime withdrawal benefits. Annals of Actuarial Science, 14, 83–92.Google Scholar
Vassallo, A., Fisher, L. and Kingston, G. (2016) Protecting retirement wealth: A survey of Australian products. Available on https://ssrn.com/abstract=2717135.Google Scholar