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Optimal consumption and portfolio selection for retirees under inflation and pension default risk

Zhenmei Lin, Chong Lai and Rui Li

The North American Journal of Economics and Finance, 2025, vol. 79, issue C

Abstract: The optimal investment–consumption analysis under insurer default risk and inflation risk for retirees who receive defined benefit pension payments is conducted. To enhance applicability, the minimum welfare guarantee and bequest motives are considered. Using the dynamic programming principle, we obtain the implicit solution of optimal consumption and investment strategies for retirees with a standard constant relative risk aversion utility. Certain implications consistent with financial advice are obtained by numerical analysis. As pension default risk increases, the rich prefer inflation-indexed bonds for hedging motive and the poor invest more in stocks for compensation motive. Despite of the presence of default risk, negative inflation risk premium leads to short positions in inflation-indexed bonds. The life portfolios of the rich tend to be more stable than those of the poor.

Keywords: Portfolio optimization; Optimal consumption; Default risk; Inflation risk; Stochastic optimal control (search for similar items in EconPapers)
JEL-codes: C61 E21 E31 G11 G22 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecofin:v:79:y:2025:i:c:s1062940825000865

DOI: 10.1016/j.najef.2025.102446

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