Robust time-consistent strategies of DC pension plans with the return of premiums clauses under inflation

References

• Anderson, E. W., L. P. Hansen, and T. J. Sargent. 2003. A quartet of semigroups for model specification, robustness, prices of risk, and model detection. Journal of the European Economic Association 1 (1):68–123. doi:10.1162/154247603322256774.
   Web of Science ®Google Scholar
• Baltas, I., L. Dopierala, K. Kolodziejczyk, M. Szczepański, G.-W. Weber, and A. N. Yannacopoulos. 2022. Optimal management of defined contribution pension funds under the effect of inflation, mortality and uncertainty. European Journal of Operational Research 298 (3):1162–74. doi:10.1016/j.ejor.2021.08.038.
   Web of Science ®Google Scholar
• Bian, L., Z. Li, and H. Yao. 2018. Pre-commitment and equilibrium investment strategies for the DC pension plan with regime switching and a return of premiums clause. Insurance: Mathematics and Economics 81:78–94. doi:10.1016/j.insmatheco.2018.05.005.
   Web of Science ®Google Scholar
• Blake, D., A. J. Cairns, and K. Dowd. 2003. Pensionmetrics 2: Stochastic pension plan design during the distribution phase. Insurance: Mathematics and Economics 33 (1):29–47. doi:10.1016/S0167-6687(03)00141-0.
   Web of Science ®Google Scholar
• Chang, H., and J. Li. 2023. Robust equilibrium strategy for DC pension plan with the return of premiums clauses in a jump-diffusion model. Optimization 72 (2):463–92. doi:10.1080/02331934.2021.1970754.
   Web of Science ®Google Scholar
• Chang, H., J. Li, and H. Zhao. 2022. Robust optimal strategies of DC pension plans with stochastic volatility and stochastic income under mean-variance criteria. Journal of Industrial & Management Optimization 18 (2):1393–423. doi:10.3934/jimo.2021025.
   Web of Science ®Google Scholar
• Guambe, C., R. Kufakunesu, G. Van Zyl, and C. Beyers. 2021. Optimal asset allocation for a DC plan with partial information under inflation and mortality risks. Communications in Statistics- Theory and Methods 50 (9):2048–61. doi:10.1080/03610926.2019.1657458.
   Web of Science ®Google Scholar
• Guan, G., and Z. Liang. 2015. Mean–variance efficiency of DC pension plan under stochastic interest rate and mean-reverting returns. Insurance: Mathematics and Economics 61:99–109. doi:10.1016/j.insmatheco.2014.12.006.
   Web of Science ®Google Scholar
• Han, N-W., and M-W. Hung. 2012. Optimal asset allocation for DC pension plans under inflation. Insurance: Mathematics and Economics 51 (1):172–81. doi:10.1016/j.insmatheco.2012.03.003.
   Web of Science ®Google Scholar
• Hao, Z., and H. Chang. 2023. Robust time-consistent strategy for the defined contribution pension plan with a minimum guarantee under ambiguity. Computational and Applied Mathematics 42:335. doi:10.1007/s40314-023-02482-9.
   Google Scholar
• He, L., and Z. Liang. 2013. Optimal investment strategy for the DC plan with the return of premiums clauses in a mean–variance framework. Insurance: Mathematics and Economics 53 (3):643–9. doi:10.1016/j.insmatheco.2013.09.002.
   Web of Science ®Google Scholar
• Li, D., J. Bi, and M. Hu. 2021. Alpha-robust mean-variance investment strategy for DC pension plan with uncertainty about jump-diffusion risk. RAIRO-Operations Research 55:2983–97. doi:10.1051/ro/2020132.
   Web of Science ®Google Scholar
• Li, D., X. Rong, Hui. Zhao, and Bo. Yi. 2017. Equilibrium investment strategy for DC pension plan with default risk and return of premiums clauses under CEV model. Insurance: Mathematics and Economics 72:6–20. doi:10.1016/j.insmatheco.2016.10.007.
   Web of Science ®Google Scholar
• Maenhout, P. J. 2004. Robust portfolio rules and asset pricing. Review of Financial Studies 17 (4):951–83. doi:10.1093/rfs/hhh003.
   Web of Science ®Google Scholar
• Maenhout, P. J. 2006. Robust portfolio rules and detection-error probabilities for a mean-reverting risk premium. Journal of Economic Theory 128 (1):136–63. doi:10.1016/j.jet.2005.12.012.
   Web of Science ®Google Scholar
• Markowitz, H. 1952. Portfolio selection. The Journal of Finance 7 (1):77–91. doi:10.1111/j.1540-6261.1952.tb01525.x.
   Web of Science ®Google Scholar
• Peng, X., and F. Chen. 2022. Deterministic investment strategy in a dc pension plan with inflation risk under mean-variance criterion. Probability in the Engineering and Informational Sciences 36 (1):201–16. doi:10.1017/S026996482000025X.
   Web of Science ®Google Scholar
• Sun, J., Z. Li, and Y. Zeng. 2016. Precommitment and equilibrium investment strategies for defined contribution pension plans under a jump–diffusion model. Insurance: Mathematics and Economics 67:158–72. doi:10.1016/j.insmatheco.2016.01.005.
   Web of Science ®Google Scholar
• Uppal, R., and T. Wang. 2003. Model misspecification and underdiversification. The Journal of Finance 58 (6):2465–86. doi:10.1046/j.1540-6261.2003.00612.x.
   Web of Science ®Google Scholar
• Wang, L., Z. Chen, and P. Yang. 2021. Robust equilibrium control-measure policy for a DC pension plan with state-dependent risk aversion under mean-variance criterion. Journal of Industrial & Management Optimization 17 (3):1203–33. doi:10.3934/jimo.2020018.
   Web of Science ®Google Scholar
• Wang, P., and Z. Li. 2018. Robust optimal investment strategy for an AAM of DC pension plans with stochastic interest rate and stochastic volatility. Insurance: Mathematics and Economics 80:67–83. doi:10.1016/j.insmatheco.2018.03.003.
   Web of Science ®Google Scholar
• Wang, P., Z. Li, and J. Sun. 2021. Robust portfolio choice for a DC pension plan with inflation risk and mean-reverting risk premium under ambiguity. Optimization 70 (1):191–224. doi:10.1080/02331934.2019.1679812.
   Web of Science ®Google Scholar
• Wang, P., Y. Shen, L. Zhang, and Y. Kang. 2021. Equilibrium investment strategy for a DC pension plan with learning about stock return predictability. Insurance: Mathematics and Economics 100:384–407. doi:10.1016/j.insmatheco.2021.07.001.
   Web of Science ®Google Scholar
• Wu, H., and Yan. Zeng. 2015. Equilibrium investment strategy for defined-contribution pension schemes with generalized mean–variance criterion and mortality risk. Insurance: Mathematics and Economics 64:396–408. doi:10.1016/j.insmatheco.2015.07.007.
   Web of Science ®Google Scholar
• Yan, M., Z. Cao, T. Wang, and S. Zhang. 2022. Robust optimal investment strategy of DC pension plans with stochastic salary and a return of premiums clause. Communications in Statistics - Theory and Methods 51 (22):7980–8011. doi:10.1080/03610926.2021.1887236.
   Web of Science ®Google Scholar
• Yao, H., Y. Lai, Q. Ma, and M. Jian. 2014. Asset allocation for a DC pension fund with stochastic income and mortality risk: A multi-period mean–variance framework. Insurance: Mathematics and Economics 54:84–92. doi:10.1016/j.insmatheco.2013.10.016.
   Web of Science ®Google Scholar
• Zeng, Y., D. Li, and A. Gu. 2016. Robust equilibrium reinsurance-investment strategy for a mean–variance insurer in a model with jumps. Insurance: Mathematics and Economics 66:138–52. doi:10.1016/j.insmatheco.2015.10.012.
   Web of Science ®Google Scholar
• Zhang, L., D. Li, and Y. Lai. 2020. Equilibrium investment strategy for a defined contribution pension plan under stochastic interest rate and stochastic volatility. Journal of Computational and Applied Mathematics 368:112536. doi:10.1016/j.cam.2019.112536.
   Web of Science ®Google Scholar