But that's exactly what it's got, and was the whole point of my exercise (to show that artificial barriers aren't obligatory). Your's has barriers at £5000, £10,000, £20,000 and so on. Just before and just after these points there will be iniquitous results/ figures.
No, as The Don alrady explained:
Not if the tax is implemented as ddt describes with the higher rate only applying over the threshold....
<snip good example>
And you have a nice, continuous graph if you'd plot it: it would essentially be a chain of line segments that progressively have a bigger angle to the X-axis.
It's the only tax I've encountered in the UK that works that way but I am informed by colleagues that income tax in Germany is like that.
That claim made me curious, so I whipped out my German tax guide from 1993 (when I lived there). It only has a table in it, and I understand when lookin at the actual
law. This being Germany, it is a difficult formula which makes the tax rate smoothly progressive. I'll translate:
Income 0-8,354: Tax is 0
Income 8,355-13,469: Tax is (974,58 * y + 1 400) * y, where y = (Income - 8,354)/10,000
Income 13,470-52,881: Tax is (228,74 * z + 2 397) * z + 971,
where z = (Income - 13,469)/10,000
etc.
Note that there's a quadratic in each bracket. And if you calculate the tax for 13,469 and for 13,470, you'll see it's both 971.