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Public Economics Lectures Part 1: Introduction

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Suffi cient Statistic Approach to Kaplan 2009<br />

Suppose moving home raises consumption by H and has a cost g(H):<br />

V (b) = max<br />

e,H eu(A + w h − t(b))<br />

+(1 − e)[u(A + w l + b + H) − g(H)] − ψ(e)<br />

Variable H drops out, as did e, because of agent optimization<br />

Formula derived for<br />

dV (b)<br />

db<br />

dV (b)<br />

db<br />

is unaffected by ability to move home:<br />

= (1 − e)u ′ (c l ) − dt<br />

db eu′ (c h )<br />

where c l is measured in the data as including home consumption (H)<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 6: Social Insurance 48 / 207

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