Lecture Note 15: Social Cost Benefit Analysis - University of ...
Lecture Note 15: Social Cost Benefit Analysis - University of ...
Lecture Note 15: Social Cost Benefit Analysis - University of ...
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marginal value <strong>of</strong> income is the same for everyone. The second, which we did not<br />
stress in calculations because we assumed a utilitarian social welfare function<br />
from the beginning, is that all individuals must have the same weight in social<br />
welfare function (which is true for the utilitarian social welfare function).<br />
Both <strong>of</strong> these assumptions seriously undermine the case for redistribution in<br />
general. If all individuals have the same private marginal value <strong>of</strong> income, then<br />
were the case, then the main reason for any government to get involved with<br />
distribution is void (remember that one key reason a social planner would want<br />
to distributive income is precisely that the marginal value <strong>of</strong> income is di¤erent<br />
for di¤erent people). If on top <strong>of</strong> that the social welfare function puts equal<br />
weight on everyone, then there is not case for distribution left. If is as if the<br />
government thinks that everyone is the same. This makes it clear, on the one<br />
hand, that the marginal cost <strong>of</strong> public funds approach is really about e¢ ciency:<br />
it provides a systematic way to integrate into the SCBA the fact that public<br />
funds must be raised through distortionary taxation and in situations where<br />
the control area <strong>of</strong> the analyst is such that the broader tax system must simply<br />
be taken as given, it makes sense to adjust the …scal implications <strong>of</strong> a project<br />
or programme for the e¢ ciency cost <strong>of</strong> raising the extra revenue with the preexisting<br />
tax instruments (or if the project generates public revenue to take into<br />
account that this will then reduce the pressure on other sources <strong>of</strong> revenue). On<br />
the other hand, the two assumption required to make the approach theoretically<br />
valid clearly make it hard to justify the approach as a way to take distribution<br />
into account. At the surface is may seem intuitive that projects that distribute<br />
from the general taxpayer who must pay higher taxes as a consequence <strong>of</strong> a<br />
project to the groups <strong>of</strong> individuals that bene…ts from the project (who typically<br />
constitute a small subset <strong>of</strong> all taxpayers). But if we think (assume) that the<br />
marginal value <strong>of</strong> income is the same for everyone, then we should not be very<br />
concerned with distribution in the …rst place and we could as well raise the<br />
required funds using a poll tax. This would avoid any distortions but then<br />
there is no need to make any adjustment in the …rst place.<br />
In practice, however, it is clear that poll taxes are not being levied on a<br />
large scale (and the experience in the UK in the 1980s suggests that they may<br />
not be entirely non-distortionary if we count the social cost <strong>of</strong> the tax rebellion<br />
that was triggered). Accordingly, many cost-bene…t analysts take the view that<br />
adjusting the e¤ects on the governments budget <strong>of</strong> projects for the marginal<br />
cost <strong>of</strong> public funds is a sensible way to proceed in particular when the analyst<br />
is not able to re-design the entire tax system and thus must take whatever taxes<br />
are levied as given. So, if we take that line, we are only left with one question:<br />
which value should be using for the adjustment. Boardman suggests that the<br />
Marginal Excess Tax Burden per unit <strong>of</strong> revenue raised is between 0:33 and 0:46<br />
for all taxes taking together, from 0:11 to 0:39 for the sales tax and from 0:31 to<br />
0:65 for the income tax. These estimates apply to the USA; for other countries,<br />
see Klever and Kreiner (2006). They estimate that the marginal cost <strong>of</strong> public<br />
funds for the UK is about 1:26.<br />
Exercise 6 Can the fact that the marginal excess tax burden di¤ers by tax base<br />
17