Journal of Tianjin Agricultural University ›› 2017, Vol. 24 ›› Issue (2): 85-90.

• Researches and Scientific Notes • Previous Articles     Next Articles

Optimal Pension Fund Management Study under the Multi-Period CVaRD

ZHANG Zhen-rong1, MA Li-na2,3, DAI Zheng-ming1   

  1. 1. College of Basic Science, Tianjin Agricultural University, Tianjin 300384, China;
    2. China Actuarial Research Institute, The Central University of Finance and Economics, Beijing 100081, China;
    3. College of Finance, Capital University of Finance and Economics, Beijing 100081, China
  • Received:2016-12-06 Online:2017-06-30 Published:2019-10-15

Abstract: The optimal strategy of the individual pension investment in China is constructed by constructing multi-period conditional value-at-risk deviation(CVaRD)model. Based on the basic old-age insurance fund investment management regulations, assume that individual account allows investment three types, aiming at optimizing CVaR. The scenario tree is established. The levels on scenario tree are decided by the change times of pension fund investment. Optimization the difference between the pension savings expectations and the average risk value of pension savings investment is transformed into a nonlinear programming. Using the iterative algorithm, each minimum of the conditional value-at-risk deviation, each issue of pension savings expectations and pension investment choice distribution are soluted. The results show that the minimum value of conditional value-at-risk deviation increases with the increasing of the age of the insured; pension savings expectations are greater than expected wealth; with the increasing of the insured age, the proportion of the investment larger risk F1gradually reduces, investment no risk F3 ratio gradually declines, which indicate that with the increasing of age, chasing a willingness to risk decreases.

Key words: multi-period condition value-at-risk deviation, optimal pension fund management, scenario tree, the non-linear program

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