Stochastic programming framework for Lithuanian pension payout modelling

The paper provides a scientific approach to the problem of selecting a pension fund by taking into account some specific characteristics of the Lithuanian Republic (LR) pension accumulation system. The decision making model, which can be used to plan a long-term pension accrual of the Lithuanian Republic (LR) citizens, in an optimal way is presented. This model focuses on factors that influence the sustainability of the pension system selection under macroeconomic, social and demographic uncertainty. The model is formalized as a single stage stochastic optimization problem where the long-term optimal strategy can be obtained based on the possible scenarios generated for a particular participant. Stochastic programming methods allow including the pension fund rebalancing moment and direction of investment, and taking into account possible changes of personal income, changes of society and the global financial market. The collection of methods used to generate scenario trees was found useful to solve strategic planning problems

Glide paths for a retirement plan with deferred annuities

We construct investment glide paths for a retirement plan using both traditional asset classes and deferred annuities. The glide paths are approximated by averaging the asset proportions of stochastic optimal investment solutions. The objective function consists of power utility in terms of secured retirement income from purchased deferred annuities, as well as a bequest that can be withdrawn before retirement. Compared with conventional glide paths and investment strategies, our deferred annuity-enhanced glide paths provide the investor with higher welfare gains, more efficient investment portfolios, and more responsive retirement income patterns and bequest levels to different fee structures and personal preferences