Guambe, CalistoKufakunesu, RodwellVan Zyl, GustiBeyers, Conrad F.J.2022-06-132022-01Guambe, C., Kufakunesu, R., van Zyl, G. et al. Time consistent mean-variance asset allocation for a DC plan with regime switching under a jump-diffusion model. Japan Journal of Industrial and Applied Mathematics 39, 119–143 (2022). https://doi.org/10.1007/s13160-021-00481-z.0916-7005 (print)1868-937X (online)10.1007/s13160-021-00481-zhttps://repository.up.ac.za/handle/2263/85814In this paper, we study a time consistent solution for a defined contribution pension plan under a mean-variance criterion with regime switching in a jump-diffusion setup, during the accumulation phase. We consider a market consisting of a risk-free asset and a geometric jump-diffusion risky asset process. Our solution allows the fund manager to incorporate a clause which allows for the distribution of a member’s premiums to his surviving dependents, should the member die before retirement. Applying the extended Hamilton-Jacobi-Bellman (HJB) equation, we derive the explicit time consistent equilibrium strategy and the value function. We then provide some numerical simulations to illustrate our results.en© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2021. The original publication is available at : http://link.springer.com/journal/13160.Hamilton-Jacobi-Bellman (HJB)DC pension planMean-varianceStochastic incomeRegime-switchingExtended HJBMortality risksPostprint Article