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On the Optimal Taxation of Capital Income

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116 JONES, MANUELLI, AND ROSSI<br />

<strong>of</strong> labor and multi-sector settings in which <strong>the</strong> price <strong>of</strong> capital in <strong>the</strong> steady<br />

state is endogenous.<br />

Finally, <strong>the</strong> model in section 2 suggests that given <strong>the</strong> linearity assumption<br />

and a rich tax code, <strong>the</strong> Ramsey problem has very strong implications<br />

about both <strong>the</strong> timing <strong>of</strong> tax revenues and <strong>the</strong> structure <strong>of</strong> <strong>the</strong> tax system:<br />

Under <strong>the</strong> optimal scheme, revenue is `front-loaded' and all factors are<br />

treated symmetrically in <strong>the</strong> limit. This revenue front-loading is a disturbing<br />

but essential feature <strong>of</strong> <strong>the</strong> optimal tax code. Reasonable restrictions on<br />

<strong>the</strong> time path <strong>of</strong> deficits (e.g., period by period budget balance) can be<br />

shown to undo <strong>the</strong> zero limiting tax result. In essence, this is ano<strong>the</strong>r type<br />

<strong>of</strong> restriction on tax codes not unlike that described in section 3 (b). This<br />

example highlights <strong>the</strong> interdependence <strong>of</strong> <strong>the</strong> initial behavior <strong>of</strong> <strong>the</strong><br />

optimal tax code and its limiting properties.<br />

Because <strong>of</strong> <strong>the</strong> delicacy <strong>of</strong> <strong>the</strong> mapping between <strong>the</strong> features <strong>of</strong> <strong>the</strong><br />

economy and <strong>the</strong> structure <strong>of</strong> optimal tax codes, fur<strong>the</strong>r progress will<br />

necessitate a detailed analysis <strong>of</strong> <strong>the</strong> entire time path <strong>of</strong> taxes as in section<br />

3 (c). Even for relatively simple examples, this will require a reliance on<br />

numerical methods.<br />

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2. A. J. Auerbach, The <strong>the</strong>ory <strong>of</strong> excess burden and optimal taxation, in ``Handbook<br />

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Amsterdam, 1985.<br />

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9. I. Correia, Dynamic capital taxation in small open economies, forthcoming, J. Econom.<br />

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