
doi: 10.2139/ssrn.6563378
This paper develops a heterogeneous-agent model of optimal savings under unemployment risk. The labor market is characterized by the unemployment rate U and a rotation parameter ρ, dened as the ratio of job-nding to jobretention probability. The model is solved by value function iteration and simulated for 36 (U, ρ) combinations with 10,000-agent panels. Economies with identical U but dierent ρ generate dierent average saving levels, because rotation simultaneously aects the duration and frequency of unemployment spells, pushing saving incentives in opposite directions. The resulting relationship between ρ and steady-state mean wealth is non-monotonic. While individual savings are volatile, independent employment transitions yield a nearly deterministic aggregate savings level, providing a supply-side model of bank deposits.
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