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Currently.the price of consuming housing is lowered by the fact that home mortgage interest is tax deductible.Suppose the government proposed to eliminate this implicit subsidy of your housing consumption, raising the price from
to
.At the same time, the government lowers the tax on other consumption, lowering the price from
to
.
a.Write down your original budget constraint assuming the consumer has income I.
b.Suppose the utility function captures your tastes, and suppose
,
,
,
and
.Write out the utility maximization problem for this consumer prior to any policy change.
c.How much housing and other goods will this consumer consume prior to any policy change?
d.How much would this consumer be willing to pay to get the policy change implemented?
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