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Optimal investment strategy under a stochastic model for DC pension. (Chinese. English summary) Zbl 1474.91149

Summary: The optimal investment strategy of the participants in the DC pension plan is studied. The financial market consists of a risk-free asset and a risky asset, and the market price of risk depends on affine-form square-root stochastic model. By using the stochastic control theory and solving the corresponding Hamilton-Jacobi-Bellman (HJB) equation, the analytic expressions of the optimal value function and the optimal investment strategy under the CRRA utility are obtained. Finally, through numerical examples, the impact of stochastic factor and appreciation rate of the risky asset on the optimal investment strategy are explained. It is found that the wealth proportion invested in the risky asset will continue to increase when the market state is developing to a positive state; but in the same market state, the optimal investment proportion is almost not affected by the investment period when the initial wealth is large enough.

MSC:

91G05 Actuarial mathematics
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