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Glide paths for a retirement plan with deferred annuities

Published online by Cambridge University Press:  31 August 2021

Chul Jang Open the ORCID record for Chul Jang [Opens in a new window] ,
Andrew Clare  and
Iqbal Owadally
Chul Jang
Affiliation:
City, University of London, London, UK Hanyang University, Ansan, South Korea
Andrew Clare*
Affiliation:
City, University of London, London, UK
Iqbal Owadally
Affiliation:
City, University of London, London, UK
*
*Corresponding author. Email: [email protected]
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Abstract

We construct investment glide paths for a retirement plan using both traditional asset classes and deferred annuities (DAs). The glide paths are approximated by averaging the asset proportions of stochastic optimal investment solutions. The objective function consists of power utility in terms of secured retirement income from purchased DAs, as well as a bequest that can be withdrawn before retirement. Compared with conventional glide paths and investment strategies, our DA-enhanced glide paths provide the investor with higher welfare gains, more efficient investment portfolios and more responsive retirement income patterns and bequest levels to different fee structures and personal preferences.

Keywords

Deferred annuityglide-path strategymulti-stage stochastic programmingretirement planningC61G11G52J32
Type
Article
Information
Journal of Pension Economics & Finance , Volume 21 , Issue 4 , October 2022 , pp. 565 - 581
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

Barberis, N (2000) Investing for the long run when returns are predictable. The Journal of Finance 55, 225–264.CrossRefGoogle Scholar
Blake, D, Cairns, AJG and Dowd, K (2003) Pensionmetrics 2: stochastic pension plan design during the distribution phase. Insurance: Mathematics and Economics 33, 29–47.Google Scholar
Boender, G, Dert, C, Heemskerk, F and Hoek, H (2008) Chapter 18 – A scenario approach of ALM. In Zenios, SA and Ziemba, WT (eds), Handbook of Asset and Liability Management. San Diego: North-Holland, pp. 829–860.CrossRefGoogle Scholar
Boulier, J-F, Huang, S and Taillard, G (2001) Optimal management under stochastic interest rates: the case of a protected defined contribution pension fund. Insurance: Mathematics and Economics 28, 173–189.Google Scholar
Cairns, AJG, Blake, D and Dowd, K (2006) Stochastic lifestyling: optimal dynamic asset allocation for defined contribution pension plans. Journal of Economic Dynamics and Control 30, 843–877.CrossRefGoogle Scholar
Campbell, JY, Chan, YL and Viceira, LM (2003) A multivariate model of strategic asset allocation. Journal of Financial Economics 67, 41–80.CrossRefGoogle Scholar
Charupat, N and Milevsky, MA (2002) Optimal asset allocation in life annuities: a note. Insurance: Mathematics and Economics 30, 199–209.Google Scholar
Chen, A, Haberman, S and Thomas, S (2019) An overview of international deferred annuity markets. SSRN Electronic Journal, Available at http://dx.doi.org/10.2139/ssrn.3441671.Google Scholar
Consigli, G, Iaquinta, G, Moriggia, V, di Tria, M and Musitelli, D (2012) Retirement planning in individual asset-liability management. Journal of Management Mathematics 23, 365–396.Google Scholar
Daga, A, Schlanger, T, Donaldson, S and Westaway, P (2016) Vanguard's approach to target retirement funds in the UK. Technical Report Vanguard London, UK. Available at https://www.vanguard.co.uk/documents/adv/literature/trf-research-paper.pdf.Google Scholar
Deelstra, G, Grasselli, M and Koehl, P-F (2003) Optimal investment strategies in the presence of a minimum guarantee. Insurance: Mathematics and Economics 33, 189–207.Google Scholar
Dempster, MAH and Medova, EA (2011) Asset liability management for individual households. British Actuarial Journal 16, 405–439.CrossRefGoogle Scholar
Ferstl, R and Weissensteiner, A (2011) Asset-liability management under time-varying investment opportunities. Journal of Banking & Finance 35, 182–192.CrossRefGoogle Scholar
Geyer, A, Hanke, M and Weissensteiner, A (2009) Life-cycle asset allocation and consumption using stochastic linear programming. Journal of Computational Finance 12, 29–50.CrossRefGoogle Scholar
Hilli, P, Koivu, M, Pennanen, T and Ranne, A (2006) A stochastic programming model for asset liability management of a Finnish pension company. Annals of Operations Research 152, 115–139.CrossRefGoogle Scholar
Horneff, WJ, Maurer, RH, Mitchell, OS and Dus, I (2008) Following the rules: integrating asset allocation and annuitization in retirement portfolios. Insurance: Mathematics and Economics 42, 396–408.Google Scholar
Horneff, WJ, Maurer, RH, Mitchell, OS and Stamos, MZ (2009) Asset allocation and location over the life cycle with investment-linked survival-contingent payouts. Journal of Banking & Finance 33, 1688–1699.CrossRefGoogle Scholar
Horneff, WJ, Maurer, R and Rogalla, R (2010) Dynamic portfolio choice with deferred annuities. Journal of Banking & Finance 34, 2652–2664.CrossRefGoogle Scholar
Huang, H, Milevsky, MA and Young, VR (2017) Optimal purchasing of deferred income annuities when payout yields are mean-reverting. Review of Finance 21, 327–361.CrossRefGoogle Scholar
Koijen, RSJ, Nijman, TE and Werker, BJM (2011) Optimal annuity risk management. Review of Finance 15, 799–833.CrossRefGoogle Scholar
Konicz, AK and Mulvey, JM (2015) Optimal savings management for individuals with defined contribution pension plans. European Journal of Operational Research 243, 233–247.CrossRefGoogle Scholar
Konicz, AK, Pisinger, D, Rasmussen, KM and Steffensen, M (2014) A combined stochastic programming and optimal control approach to personal finance and pensions. OR Spectrum 37, 583–616.CrossRefGoogle Scholar
Konicz, AK, Pisinger, D and Weissensteiner, A (2016) Optimal retirement planning with a focus on single and joint life annuities. Quantitative Finance 16, 275–295.CrossRefGoogle Scholar
Maurer, R, Mitchell, OS, Rogalla, R and Kartashov, V (2013) Lifecycle portfolio choice with systematic longevity risk and variable investment-linked deferred annuities. Journal of Risk and Insurance 80, 649–676.CrossRefGoogle Scholar
Merton, RC (2014) The crisis in retirement planning. Harvard Business Review 92, 42–50.Google Scholar
Owadally, I, Jang, C and Clare, A (2021) Optimal investment for a retirement plan with deferred annuities. Insurance: Mathematics and Economics 98, 51–62.Google Scholar
Pedersen, AM, Alex Weissensteiner, B and Poulsen, R (2013) Financial planning for young households. Annals of Operations Research 205, 55–76.CrossRefGoogle Scholar
United States Department of Treasury (USDT) (2014) Treasury Issues Guidance to Encourage Annuities in 401(k) Plans. Notice 2014-66. Available at https://www.treasury.gov/press-center/press-releases/Pages/jl2673.aspx.Google Scholar
Ziemba, WT (2003) The Stochastic Programming Approach to Asset, Liability, and Wealth Management. USA: The Research Foundation of AIMR.Google Scholar
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