The effects of inflation risk on voluntary retirement and job switching by a martingale approach
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초록

This study aimed to tackle an issue that closely reflected reality by integrating both inflation risk management and job-switching opportunities into an optimal retirement problem. Specifically, individuals can invest in three financial assets, including a money market account, an inflation-linked index bond, and a risky asset. They can also determine the optimal time of retirement and have the flexibility to switch jobs between two job states at any time before retirement, noting that individuals earn a meager income upon retiring. To resolve this problem, we provided closed-form solutions for optimal policies by using the martingale approach and variational inequality method. We additionally provided a comparison analysis between our model and two other benchmark problems, respectively. We concluded that managing inflation risk can increase the retirement boundary, but decrease the job-switching boundary. Moreover, the feature of job-switching opportunities can also increase the retirement boundary. Finally, we examined how the inflation risk affected the optimal strategies.

키워드

Inflation risk managementreversible job switchingirreversible retirementmartingale methodvariational inequalityDYNAMIC ASSET ALLOCATIONOPTIMAL CONSUMPTIONLIFE-INSURANCEBORROWING CONSTRAINTSUTILITY MAXIMIZATIONPORTFOLIOPOLICIESMODEL
제목
The effects of inflation risk on voluntary retirement and job switching by a martingale approach
저자
Li, QiShin, Yong HyunYoon, Ji-hun
DOI
10.3934/mcrf.2025006
발행일
2026-03
유형
Article; Early Access
저널명
Mathematical Control and Related Fields
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