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To: jonestown
The appropriate rate depends on what you intend to accomplish.

Basically the Tax inclusive rate (23%) is specified in the Fair Tax Act to enable comparison with the tax systems (income and payroll) it replaces which use tax inclusive rates and is the rate a seller would apply to his sales receipts in a federal tax only situatation to calculate the tax to be remitted to tax agencies.

The two different rates are for the same amount of tax, but different methods of calculation based on price or total payment.

Tax-exclusive rate: means the rate of tax expressed as a ratio of the tax paid to the price of the item, exclusive of tax. Given base price of a product or service it is used to calculate the amount of tax to add onto price to obtain the required payment for product or service.(i.e. tax to be added)

Te = T / P

Tax-inclusive rate: Means the rate of tax expressed as a ratio of the tax paid to the price of the item including the tax. Given the required payment necessary to purchase a product or service, it is used to calculate the amount of tax taken out of the total payment received,(i.e. tax burden) to be remitted to government by a seller.

Ti = T / (P + T)

 

Getting the tax-exclusive rate given the tax-inclusive rate

Te = Ti / (1 - Ti)

For example, the proposed 17% (tax-inclusive) flat tax has a tax-exclusive rate of 20.48%.
(0.1700 / (1.0000 - 0.1700) = 0.2048)

For the NRST as proposed by HR 2525, the 23% inclusive rate comes out to 29.87%.
(0.2300 / (1.0000 - 0.2300) = 0.2987)

 

Getting the tax-inclusive rate given the tax-exclusive rate

Ti = Te / (1 + Te)

For example, a 5% state sales tax (tax-exclusive) is actually 4.76% tax-inclusive.
(0.0500 / (1.0000 + 0.0050) = 0.0476)

For the NRST as proposed by HR 2525, the 29.87% exclusive rate comes out to an inclusive rate of 23.00%.
(0.2987 / (1.0000 + 0.2987) = 0.2300)

 

Comparison of tax-inclusive and tax-exclusive rates

Inclusive Rate Description Exclusive Rate
4.76% Sample State Sales Tax --> 5.00%
10.00% <-- Penalty for IRA/401k Early Withdrawal 11.11%
15.00% <-- Marginal Income Tax 17.65%
15.00% <-- NRST (not including SS/Medicare) 17.65%
15.30% <-- Social Security/Medicare Payroll Tax 18.06%
17.00% <-- Flat Tax (not including SS/Medicare) 20.48%
20.00% <-- Capital Gains Tax 25.00%
23.00% <-- NRST (including SS/Medicare) 29.87%
28.00% <-- Marginal Income Tax 38.89%
32.30% <-- Flat Tax (including SS/Medicare) 47.71%
39.00% <-- Marginal Income Tax 63.93%
54.30% <-- Max Margin Income/Payroll tax rate 118.81%

Note that any tax-inclusive rate larger than 50% would have a tax-exclusive rate of over 100%.

822 posted on 01/31/2005 9:01:21 PM PST by ancient_geezer (Don't reform it, Replace it!!)
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To: ancient_geezer
The Fair Tax proposal is written in english..
We should be able to agree on the actual tax rate proposed on a $100 purchase.

Is it 23% ? Or -- 29.86% ?
807 jones

The appropriate rate depends on what you intend to accomplish.

It is either one or the other, on a sales receipt. The line would read:
Federal Tax - 23%
or
Federal Tax - 29.86%

Basically the Tax inclusive rate (23%) is specified in the Fair Tax Act to enable comparison with the tax systems (income and payroll) it replaces which use tax inclusive rates and is the rate a seller would apply to his sales receipts in a federal tax only situatation to calculate the tax to be remitted to tax agencies.

I don't care. All that matters is if the tax is 23% or 29.86% .

The two different rates are for the same amount of tax, but different methods of calculation based on price or total payment.

Same amount? That cannot be.
On a $100 purchase the tax paid would vary by $6.86 --- Can you explain further?

826 posted on 01/31/2005 9:23:19 PM PST by jonestown ( A fanatic is a person who can't change his mind and won't change the subject." ~ Winston Churchill)
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