Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2016, Vol. 33 ›› Issue (3): 234-242.doi: 10.3969/j.issn.1005-3085.2016.03.002

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Dynamic Asset Allocation with Event Risk under Inflation

FEI Wei-yin,   LU Qin-yun,  HU Hui-min,  XIA Deng-feng   

  1. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui 241000
  • Received:2015-05-19 Accepted:2015-11-12 Online:2016-06-15 Published:2016-08-15
  • Supported by:
    The National Natural Science Foundation of China (71171003; 71571001).

Abstract:

This paper studies the effect of the inflation factor and jump on an investor's optimal allocation strategy with event risk under inflation. First, through deducing the dynamics of the asset price discounted by inflation, a stochastic optimal control model for dynamic asset allocation with inflation is established under the event-risk framework, where the asset price and return volatility follow jump-diffusion processes. Second, by using the dynamic programming principle, we derive approximate analytical solutions to the optimal portfolio problem for the investor with power utility. Finally, the influence of the inflation volatility, asset price jump size and return volatility jump size on an investor's optimal asset allocation strategy in simplified model is analyzed through the Matlab.

Key words: jump-diffusion process, dynamic asset allocation, event risk, inflation, stochastic control

CLC Number: