A worker lives in a state that has its own income tax. The worker is in the 31 percent federal tax bracket. In addition, he is subject to a 9 percent MTR for his state income tax. Assume that mortgage interest is deductible both on his federal and state income tax, and that state income taxes are deductible on the federal income tax; also assume that he itemizes deductions. Calculate the effective MTR the taxpayer is subject to after considering the tax deductibility of state income tax payments on the federal return. Show how the state income tax affects the excess burden of the mortgage interest deduction for the worker. Assuming that the worker also pays a 7.65 percent Social Security tax on his labor earning, calculate the MTR for his labor earnings.

To calculate the effective Marginal Tax Rate (MTR) after considering the tax deductibility of state income tax payments on the federal return, we need to understand how the deductions affect the taxpayer's overall tax liability.

First, let's calculate the MTR without considering the state income tax deduction:
Federal MTR: 31%
State MTR: 9%
Total MTR before deductions: Federal MTR + State MTR = 31% + 9% = 40%

Next, let's consider the tax deductibility of state income tax payments on the federal return. Since the state income taxes are deductible on the federal return, the taxpayer's federal taxable income will be reduced by the amount of state income tax paid.

Let's assume the taxpayer paid $10,000 in state income tax. If this amount is deductible on the federal return, the taxpayer's taxable income for federal purposes will be reduced by $10,000.

As a result, the federal income tax liability will also decrease. Let's assume that the reduction in federal income tax liability due to the state income tax deduction is $3,000.

Now, let's re-calculate the federal income tax liability after considering the state income tax deduction:
Federal income tax liability before deduction: 31% of taxable income (without state income tax deduction)
Federal income tax liability after deduction: 31% of taxable income (without state income tax deduction) - $3,000 (reduction due to state income tax deduction)

The effective MTR after considering the state income tax deduction can be calculated as:
Total federal income tax liability (after deduction) + State MTR = Effective MTR

Regarding the excess burden of the mortgage interest deduction for the worker, it seems that the question is asking for the impact of state income tax on this deduction. Since state income taxes are deductible on the federal return, the worker may benefit from a reduction in federal taxable income. This could result in a lower overall tax liability, thereby reducing the excess burden of the mortgage interest deduction.

Finally, let's calculate the MTR for the worker's labor earnings, assuming they also pay a 7.65% Social Security tax:

MTR for labor earnings: Federal MTR + State MTR + Social Security tax rate
MTR for labor earnings: 31% + 9% + 7.65% = 47.65%

Please note that the calculations provided above are based on the assumptions stated in the question and may vary depending on any additional factors or changes in tax laws.

To calculate the effective marginal tax rate (MTR) for the worker after considering the tax deductibility of state income tax payments on the federal return, we need to take into account both the federal and state tax rates.

Step 1: Calculate the federal tax liability
The federal tax bracket is 31 percent. Let's assume the worker's income is $100.

Federal tax liability = Federal tax bracket * Income
= 31% * $100
= $31

Step 2: Calculate the state tax liability
The state tax rate is 9 percent. The state tax liability is calculated after considering the deduction of state income taxes on the federal return. Since state income taxes are deductible on the federal income tax, the taxpayer can reduce their taxable income by the total amount of state income tax paid.

Let's assume the worker's state tax payment is $10 (for simplicity purposes).

Taxable income for federal return = $100 - $10 (state income tax paid)
= $90

State tax liability = State tax rate * Taxable income for federal return
= 9% * $90
= $8.10

Step 3: Calculate the effective MTR
The effective MTR takes into account the reduced taxable income due to the deduction of state income taxes on the federal return.

Total tax liability = Federal tax liability + State tax liability
= $31 + $8.10
= $39.10

Effective MTR = Total tax liability / Income
= $39.10 / $100
= 39.1%

Now, let's consider how the state income tax affects the excess burden of the mortgage interest deduction for the worker. The excess burden, also known as the deadweight loss, refers to the economic loss caused by a distortion in the tax system.

The mortgage interest deduction reduces the worker's taxable income, resulting in lower tax liability. However, this deduction is only relevant for federal income taxes and not for state income taxes. Therefore, the worker may have a higher state tax liability compared to a situation where the mortgage interest deduction was not available.

Assuming the mortgage interest deduction reduces the worker's taxable income by $5, the state tax liability would increase by:

Additional state tax liability = State tax rate * Mortgage interest deduction
= 9% * $5
= $0.45

This additional state tax liability represents the excess burden of the mortgage interest deduction for the worker.

Finally, let's calculate the MTR for the worker's labor earnings, taking into account the 7.65 percent Social Security tax.

Labor earnings MTR = Federal tax bracket + State tax rate + Social Security tax rate
= 31% + 9% + 7.65%
= 47.65%