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Bifurcation in optimal retirement

Bushra Shehnam Ashraf and Thomas S. Salisbury

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Abstract: We study optimal consumption and retirement using a Cobb-Douglas utility and a simple model in which an interesting bifurcation arises. With high wealth, individuals plan to retire. With low wealth they plan to never retire. At a critical level of initial wealth they may choose to defer this decision, leading to a continuum of wealth trajectories with identical utilities.

Date: 2025-06
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