Critter7r
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I'm not talented or experienced enough to understand the relative comparison of projected growth to the actual growth.
I can only figure the standard based on the actual of the year before the change was implemented to the years afterward.
IF the current rate of collection is is stated for 2004, then any increase is the difference between the 2004 total and the totals for any particular year that follows.
The opposition to the current tax reform is that the increase in collections across 10 years will not amount to 1.5 Trillion across ten years. 1.5 Trillion is said to be the amount that the cuts in taxes will reduce the receipts over 10 years.
In order to calculate this, accumulating the increases of each year compared to come sort of baseline seems like the only way to proceed.
If I collect one dollar in 2004, 2 dollars in 2005 and 3 dollars in 2006, the increase of 2006 compared to the 2004 baseline is 2 dollars. Comparing the 2006 increase to the 2005 level decreases the impact to the baseline by a dollar.
The increase of the two years following 2004 in this example is a total of 3 dollars. Comparing the outcome of the three years using your method loses one of the increased dollars and shows an increase of only 2 dollars.
Using $1, $2, and $3 confuses the issue because the revenue for 2004, and the increase from 2004-2005 are the same number.
Let's say that in 2004, $8 was collected, then $11 in 2005, and $15 in 2006.
The increase in the 2nd year over the first was $3, and the increase in the 3rd year over the first was $7. To say that the total increase was $10 increase is incorrect, because as you can see, it was only $7 ($15 - $8 = $7). The $3 increase in the first year is already included in the 2nd year's increase.
Your method for computing "increases" reminds me a lot of the $2 problem ...
http://mathforum.org/dr.math/faq/faq.missing.dollar.html
Another problem with comparing the increases to a particular year (say, 2004) is our inability (as laymen) to determine what the increases would have been without whatever change is being debated. Which I think is what you meant in your first statement about projected growth.