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excess burden formula
amount wlerfare is reduced minus the amount of tax collected
objectives of tax
raise revenue, redistrubtion, improve allocation of resources
if all idnivs were identical and were treated for tax purposes identically,
a lump sum would be the only effcient tac
Why impose distoritoonary taxes
gov can only base its decisin on incoem and expenditure
proportional income tax
tax liability is the same percentage of income for all idnivs
simple progressive income tax
imposes a tax at a flat rate on the difference between the individual’s income and some critical level of income
simlairities between propeitional income tax and simple progressive income tax
flat rate taxss, the marginal tax rate is constant, the average tax rate increases with income

what is this
types of taxes
linear tax structure
constant marginal tax rate at all levels of income
non-linear tax structure
varying marginal tax rates
Mirrlees research
marginalta xrate 0 is senstitive to the assumptions about the distribtion of abilities. if you know who the top is then no role for imposing a margianl tax rate bc there is nobody to mimic them
Mirrlees research - shape
inverted u shape

what is this
mirrlees
Diamond and Saez research
U-shaped MTR schedule (i.e. current tax schedules may be close to optimal) and that non-linear taxation is significantly more efficient than linear taxation to redistribute income

what is this
diamond and saez research
Diamond and seaz - shape
u shaped
Diamond and seaz - reasong
If you dont know who the top person is, then it could be that marginal tax rates are increasing at the top
What do both Mirrlees and diamond and seaz say
want to impose a large average tax rates with low marginal tax rates, Mirrlees through the flat top for high earners, other for the flatness in the middle
Ramsey rule def
the optimal tax structure is such that the percentage change reduction in the compensated demand for each commodity is the same
What is the additional rule for the ramsey rule
the tax should simply be inversely proportional to the compensated elasticity of demand
Where should high taxes be imposed
commodities with low price elasticities but these goods are usally for low income people which drecreased equality
undesirability of production taxes
Government should not alter the prices that producers face in trades between themselves
optimal tax mix
tax facots or goods with inelastic supply or demand, if no lump sum taxes, the optimal tax depends on the availability and kevels of other taxes
What are the implications of the optimal tax principles
income tax penalises savings but an expenditure tax raises less revenue and is normally more inequitable
when should commodity taxes be used
captures income that may otherwise evade tax and provide a more effciient relief for savings
corlett-hague rule
if income taxes are highly distoritonary, commodity taxes may help to correct that distortion by taxing commodities that are compleemtns of leisure and subsidising commodities that are complements to work
inverse elasticity rule
whe demand elasticities are similar across commodities, for any revenue target, a broad set of low tax rates is preferable
tax reform guidleines efficiency
ncrease taxes on elastic goods and reduce taxes on elastic, broaden tax bases allowing to decrease the marginal tax rate on already taxed items, increase corrective taxes
tax reform guidelines equity
veritcaly equity (redistribution from a well off indiv to a poor) and horizontal equity (broad tax bases and inform tax rates)
whether the should be differnetial commodity taxation
if there is an income tax and its structure
the set of taxes that are feadible dpends on
what variables are observable and verifiable