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Public Economics Lectures Part 1: Introduction

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Baily-Chetty Consumption-Based Formula<br />

Theorem<br />

The optimal unemployment benefit level b ∗ satisfies<br />

where<br />

∆c<br />

c<br />

= c h − c l<br />

c h<br />

γ ∆c<br />

c (b∗ ) ≈ ε 1−e,b<br />

e<br />

= consumption drop during unemployment<br />

γ = − u′′ (c h )<br />

u ′ (c h ) c h = coeffi cient of relative risk aversion<br />

ε 1−e,b = d log 1 − e<br />

d log b<br />

= elast. of probability of unemp. w.r.t. benefits<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 6: Social Insurance 52 / 207

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