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Public Economics Lectures Part 1: Introduction

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Atkinson-Stiglitz: Implications for Capital Taxation<br />

Two period model: wage rate w in period 1, retired in period 2<br />

Let δ = discount rate, ψ(.) disutility of effort, and utility<br />

The budget constraint is<br />

u h (c 1 , c 2 , z) = u(c 1 ) + u(c 2)<br />

1 + δ − ψ(z/w)<br />

c 1 + c 2 /(1 + r(1 − t K )) ≤ z − T (z)<br />

Tax on savings t K is equivalent to tax on c 2<br />

Atkinson-Stiglitz implies that tK ∗<br />

income tax<br />

= 0 in the presence of an optimal<br />

Very sharp policy prediction<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 4: Optimal Taxation 86 / 121

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