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There are lots of things to do with tax credits which are inexplicable but this makes sense (i think).
The rates are set so that support for children via IS/IBJSA (ie child allowances, DCP, FP, and EDP(child/YP) exactly balances that provided via CTC.
This is easiest to see for the child disablity elements.
Severe disability child rate (£4,730) less disabled child rate (£3,840) = £890 (attributable to severe disability).
£890 / 365 = £2.44 (rounded up daily rate) x 7 = £17.08 (ie the same as IS EDP(Child/YP).
Disabled child rate (£3,840) less child rate (£1,625)= £2,215 (attributable to disability).
£2,215 / 365 = £6.07 (rounded up daily rate) x 7 = £42.49 (ie same as IS DCP).
For the child allowances its more complicated as you need to take account FP, family element and the fact that ChBen will continue to count as income for IS until CTC is claimed.
First of all consider just one child...
Support for child via CTC:-
Family Element = £545/365 = £1.50 (rounded up daily rate) x 7 = £10.50.
Child element =£1,625/365 = £4.46 (rounded up daily rate) x 7 = £31.22.
total support via CTC = £10.50+£31.22= £41.72
Support for child via IS/IBJSA:-
£42.27 (Child allowance)
£15.95 (Family Premium)
less £16.50 (child benefit - 1st child counting as income for IS).
total support via IS/IBJSA = £42.27+£15.95-£16.50 = £41.72
Additional children...
Increase CTC by £1625/365 = 4.46 (rounded up daily rate) x 7 = +£31.22 per child.
Increase IS by £42.27 (Child Allowance) less £11.05 (child benefit - other children) = +£31.12 per child.
The calcs are slightly different if there is a child age <1 but figures still balance (on IS support is £10.50 higher because of partial Ch Ben disregard, on CTC support is £10.50 higher because of Family element baby rate).
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