This paper proposes an Asset and Liability Management (ALM) for pension
funds via multistage stochastic programming and an equilibrium risk
measuring method.
The ALM of a pension fund consists in finding the optimal investment
policy given the stochastic nature of the asset returns and the liability cash
flows. Since it refers to a dynamic portfolio, the most suitable approach would
be a multistage stochastic programming model. However, computational
restrictions don’t allow covering the entire pension fund’s planning horizon.
Thus, several articles in literature have proposed an arbitrary fixed capital
requirement obtained independently on the investment policy adopted to
approximate the effects of the non-considered periods.
Whereas the fund’s actual opportunity cost, we propose a method for
measuring and controlling the equilibrium risk which bootstraps the portfolio
return scenarios embedded in the optimal solution in order to approximate
the liability discount rate distribution for the periods beyond the considered
planning horizon.
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