Wednesday, February 22, 2023

Tax Brackets II

 

Tax Man

Should five percent appear too small
Be thankful I don't take it all
'Cause I'm the taxman
Yeah, I'm the taxman

But  the Taxman should also be the Math Man

I was just preparing to file my taxes when I realized that the Tax Brackets violate the basic Laws of Math. Mattel’s old Talking Barbie doll might be correct, “Math is Hard,” (personally I don’t think it is), but Math also does NOT permit lies. That is why there are Laws and Proofs in Math. The current Tax Brackets are NOT equal. The tax is on the income of individuals, not on individuals. The distribution of income is not equal among individuals. The distribution of income is nonlinear. That is an acknowledgement of fact, not a judgement. According to the laws of calculus, any nonlinear curve can be approximated by a series of straight-line segments, as long as each line segment is of an equal interval. And IMHO, that is where the current Tax Brackets fail.

Without addressing what the marginal tax rate should be in each bracket, a basic principle should be that each bracket be of the same size. And by inspection it is not. Without arguing what the lowest income in the top bracket should be, let’s just accept that amount. The equal interval, size of the tax bracket, should be that income in the highest bracket divided by the number of brackets before that income. In the current tax code that upper income varies by tax filing status (Single, Married filing jointly, etc.) but it is a specified amount. To calculate the size of the brackets correctly according to Math is simple. Divide the lower income in the highest bracket by 6 (the number of brackets before that highest bracket.)

Because the brackets are not equal, the median ( and the median should be used, NOT the mean)  taxpayer is paying a higher tax than would be expected. And the upper income bracket is paying a lower tax than would be expected.  I suspect that the Debt Limit and the federal budget would be less likely to be an issue if the Tax Brackets properly acknowledged basic Math.


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