Nash equilibrium strategies for a defined contribution pension management

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<title>Nash equilibrium strategies for a defined contribution pension management</title>
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<abstract displayLabel="Summary">This paper studies the time-consistent investment strategy for a defined contribution (DC) pension plan under the meanvariance criterion. Since the time horizon of a pension fund management problem is relatively long, two background risks are taken into account: the inflation risk and the salary risk. Meanwhile, there are a risk-free asset, a stock and an inflation-indexed bond available in the financial market. The extended HamiltonJacobiBellman (HJB for short) equation of the equilibrium value function and the verification theorem corresponding to our problem are presented. The closed-form time-consistent investment strategy and the equilibrium efficient frontier are obtained by stochastic control technique. The effects of the inflation and stochastic income on the equilibrium strategy and the equilibrium efficient frontier are illustrated by mathematical and numerical analysis. Finally, we compare in detail the time-consistent results in our paper with the pre-commitment one and find the distinct properties of these two results.</abstract>
<note type="statement of responsibility">Huiling Wu, Ling Zhang, Hua Chen</note>
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<title>Insurance : mathematics and economics</title>
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<publisher>Oxford : Elsevier, 1990-</publisher>
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<identifier type="issn">0167-6687</identifier>
<identifier type="local">MAP20077100574</identifier>
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<text>04/05/2015 Volumen 62 - mayo 2015 </text>
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