Title
Robust optimal investment and benefit payment adjustment strategy for target benefit pension plans under default risk
Abstract
In this paper, we consider the optimal investment and benefit payment problem for a target benefit plan (TBP) with default risk and model uncertainty. The pension fund is invested in a risk-free asset, a stock and a defaultable bond. The objective is to maximize the wealth and benefit excess from the target value or minimize the wealth and benefit gap from the target value with exponential function. Applying stochastic control approach, we establish the Hamilton–Jacobi–Bellman equations for both the post-default case and the pre-default case, respectively. Robust optimal investment strategies and benefit payment adjustment strategies are derived explicitly for the two cases. We also consider the non-ambiguity model for degenerate case and compare the results under two scenarios. Numerical analysis is provided to illustrate the effects of parameters on the optimal strategies and demonstrate the properties of the strategies.
Year
DOI
Venue
2021
10.1016/j.cam.2021.113382
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
Target benefit pension plan,Model uncertainty,Dynamic programming,Default risk,Robust strategy
Journal
391
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Peiqi Wang1112.52
Ximin Rong200.34
Hui Zhao300.68
Suxin Wang400.34