We propose a long term portfolio management method which takes into account a liability. Our approach is based on the LQG (Linear, Quadratic cost, Gaussian) control problem framework and then the optimal portfolio strategy hedges the liability by directly tracking a benchmark process which represents the liability. Two numerical results using empirical data published by Japanese organizations are served: simulations tracking an artificial liability and an estimated liability of Japanese organization. The latter one demonstrates that our optimal portfolio strategy can hedge his or her liability.
Cite this paper
M. Ieda, T. Yamashita and Y. Nakano, "A Liability Tracking Approach to Long Term Management of Pension Funds," Journal of Mathematical Finance
, Vol. 3 No. 3, 2013, pp. 392-400. doi: 10.4236/jmf.2013.33040
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 The Japanese Ministry of Health, Labour and Welfare, 2013.