TCTM07APPX2  Calculation of entitlement: a worked example
Worked Example
Case Details
Two single parents had been claiming tax credits in their own right, each with one child. From 02052018 they make a new claim to tax credits as a couple in a new household. The effective date of claim is therefore 02052018 (DOC).
Claimant 1 details are

Date of birth (DOB) is 30041972 (aged 46 at DOC 02052018)

Works 16 hours per week
Claimant 2 details are
 DOB is 01081969 (aged 48 at DOC 02052018)
 Works 16 hours per week
Children are
 DOB is 20092001 (aged 16 at DOC 02052018)
And
 DOB is 08072014 (aged 3 at DOC 02052018)
Income is
 For 2017/18 tax year  £27,500.00
Childcare is
 48 weeks at £50.00 and 4 weeks holiday at £20.00 for the 3 year old only.
(48 x £50.00 = £2,400.00 and 4 x £20.00 = £80.00, therefore £2,480.00 for the year)
Note: The claim has been found to satisfy both the Working Tax Credit (WTC) and Child Tax Credit (CTC) eligibility rules and an award calculation is required.
Step 1  Establishing the award and relevant period(s)
The award period will be from the effective date to the end of the tax year, which is 02052018 to 05042019
Entitlement period(s)
The eligibility rules identify that the following elements are due from 02052018
 WTC  basic element
 WTC  second adult element
 WTC  30 hour element
 WTC  childcare element
 CTC  child element for two children
 CTC  basic family element
For an initial award, eligibility to the CTC child element is assumed to end on the 31st of August on or following the child’s 16th birthday. The eldest child was 16 on the 20th September the previous year, 2017. However, because their 16th birthday was after the 31st August 2017 their entitlement continues into this year, until the 31st August 2018. Therefore a change in eligibility needs to be taken into account from 01092018 because of the child with the DOB of 20092001.
Two relevant periods will be considered in the award calculation
 02052018 to 31082018
and
 01092018 to 05042019
Step 2 – Calculating the maximum tax credit entitlement for each entitlement period
Entitlement period 02052018 to 31082018
Number of days in the period = 122
Element maximum amounts:
Element  Calculation  Maximum amount  Award when elements combined 

WTC  basic element £1,960/365 = £5.369 per day  Round up to £5.37 per day x 122 days  £655.14  £1,598.20 
WTC  second adult element £2,010/365 = £5.506 per day  Round up to £5.51 per day x 122 days  £672.22  £1,598.20 
WTC  30 hour element £810/365 = £2.219 per day  Round up to £5.51 per day x 122 days  £270.84  £1,598.20 
WTC  childcare element £2,480/52 = £47.692 per week  Weekly amount rounded up to nearest pound = £48.00\n£48 x 52/365 x 122 = £834.279  70% of £834.279 & rounded up to nearest penny  £584.00 
CTC  child element £2,780/365 = £7.616 per day  Round up to £7.62 per day x 122 days  £929.64 x 2 = £1,859.28  £1,859.28 
CTC  family element £545/365 = £1.493 per day  Round up to £1.50 per day x 122 days  £183.00  £183.00 
Entitlement period 01092018 to 05042019
Number of days in period = 217
Element maximum amounts:
Element  Calculation  Maximum amount  Award 

WTC – basic element £1,960/365 = £5.369 per day  Round up to £5.37 per day x 217 days  £1,165.29  £2,842.70 
WTC – second adult element £2,010/365 = £5.506 per day  Round up to £5.51 per day x 217 days  £1,195.67  £2,842.70 
WTC  30 hour element £810/365 = £2.219 per day  Round up to £2.22 per day x 217 days  £481.74  £2,842.70 
WTC  childcare element £2,480/52 = £47.692 per week  Weekly amount rounded up to nearest pound = £48.00 £48 x 52/365 x 217 = £1,483.923  70% of £1,483.923& rounded up  £1,038.75 
CTC – child element £2,780/365 = £7.616 per day  Round up to £7.62 per day x 217 days x 1 child  £1,653.54  £1,653.54 
CTC – family element £545/365 = £1.493 per day  Round up to £1.50 per day x 217 days  £325.50  £325.50 
Step 3 – Applying Taper If Income Involved
Entitlement period 02052018 to 31082018
Number of days in the period = 122
 Establish the income and the initial income threshold amounts for the relevant periods
 WTC is included in the award for the period, therefore the initial income threshold is £6,420 / 365 x 122 = £2,145.863, rounded up = £2,145.87
 Annual income is £27,500, therefore income for the period is £27,500 / 365 x 122 = £9,191.780 and rounded down = £9,191.78
 Consider if a taper calculation is required
 Income of £9,191.78 is greater than the initial income threshold of £2,145.87 therefore a taper calculation is required.
 Taper the first entitlement
 The entitlement, in the award for the period, which appears highest in the required taper order, is the WTC work elements entitlement.
 The taper amount to be applied to this entitlement is £9,191.78 (income) minus £2,145.87 (initial income threshold) which gives £7,045.91.
 Then multiply by 41% (taper rate) = £2,888.823.
 The taper amount of £2,888.823 is higher than the maximum entitlement amount £1,598.20 so all of this entitlement to WTC has been tapered away and will no longer be due. WTC = NIL
 Taper the second entitlement
 The entitlement in the award for the period, which appears next highest in the required taper order is the WTC childcare element entitlement.
 As the working elements of WTC have been reduced to nil, the childcare element of WTC is worked out as follows.
 The taper amount to be applied to this entitlement is £9,191.78 (income) minus £2,145.87 (initial income threshold) = £7,045.91
 Then multiply by 41% (taper rate) = £2,888.823
 The taper amount of £2,888.823 minus the max WTC elements (excluding childcare) of £1,598.20 give the excess of £1,290.623.
 The excess amount of £1,290.623 is higher than the maximum childcare element of £584.00 so all of this entitlement to WTC childcare has been tapered away and will no longer be due. WTC childcare = NIL.
 Taper the third entitlement
 The entitlement, in the award for the period, which appears next highest in the required taper order is the CTC individual elements entitlement.
 As the WTC childcare elements have been reduced to nil, the CTC individual elements are worked out as follows
 CTC individual elements have a minimum income threshold of £16,105.00. This threshold is compared with the amount used to taper the previous WTC work elements and WTC childcare elements to nil. Comparison of the two resulting tapers provides the highest figure, which is used in calculating entitlement to the individual elements of CTC.
 Establish the amount used to taper the previous elements to nil. This is the WTC work elements of £1,598.20 plus the WTC childcare amount £584.00 (£2,182.20) then divided by the taper rate 0.41 = £5,322.439, added to the initial income threshold £2,145.87 = £7,468.31 rounded up.
 Establish the minimum income threshold for the entitlement period. This is the CTC minimum income threshold of £16,105.00 divided by 365 days and multiplied by the number of days in the period, 122 = £5,383.041 and rounded up = £5,383.05.
 A comparison of the two taper figures £7,468.31 and £5,383.05 is made. The highest figure of £7,468.31 is used as the income threshold.
 Income of £9,191.78 is higher than the income threshold of £7,468.31 so a taper amount needs to be calculated.
 The taper amount to be applied to this entitlement is £9,191.78 (income) minus £7,468.31 (income threshold) = £1,723.47
 Then multiplied by 41% (taper rate) = £706.6227
 The taper amount of £706.6227 is less than the entitlement maximum amount £1,859.28 so the taper amount is deducted from CTC to find the net amount due = £1,152.657 rounded up = £1,152.66 = the CTC individual element.
 Taper the fourth entitlement
 The entitlement in the award for the period, which appears next highest in the required taper order is the CTC family element entitlement.
 As the CTC individual elements have only been partly tapered away, the CTC family element is worked out as follows.
 The CTC family element has a minimum income threshold of £16,105.00. This threshold is compared with the amount used to taper the previous WTC work elements, WTC childcare elements and CTC individual elements. Comparison of the two resulting tapers provides the highest figure, which is used in calculating entitlement to the CTC family element.
 Establish the amount used to taper the previous elements. This is the WTC work elements of £1,598.20 plus the WTC childcare amount of £584.00 plus the CTC individual elements of £1,859.28 (a total of £4,041.48) then divided by the taper 0.41 = £9,857.268, added to the initial income threshold £2,145.87 = £12003.14
 Establish the minimum income threshold for the entitlement period. This is the CTC minimum income threshold of £16,105.00 divided by 365 days multiplied by the number of days in the period, 122 = £5,383.041 and rounded up to £5,383.05
 A comparison of the two taper figures £12003.14 and £5,383.05 is made. The highest figure of £12003.14 is used as the income threshold.
 Income of £9,191.78 is lower than the income threshold of £12003.14 so a taper amount does not need to be calculated. The CTC family element of £183.00, will therefore be due in full.
Summary of calculation for entitlement period 020518 to 310818 within the award period  02052018 to 05042019
Entitlement period – 02052018 to 31082018
Entitlement  Maximum amount  Taper amount  Net amount due 

WTC Work Elements  £1,598.20  £1,598.20  Nil 
WTC Childcare Elements  £584.00  £584.00  Nil 
CTC Individual Elements  £1,859.28  £709.63  £1,152.65 
CTC Family Elements  £183.00  Nil  £183.00 
Entitlement period 01092018 to 05042019
Number of days in the period = 217
 Establish the income and the initial income threshold amounts for the relevant periods.
 WTC is included in the award for the period, therefore the initial income threshold is £6,420 / 365 x 217 = £3,816.821 and rounded up = £3,816.83
 Annual income is £27,500 therefore income for the period is £27,500 / 365 x 217 = £16,349.315 and rounded down = £16,349.31
 Is a taper calculation required?
 Income £16,349.31 is greater than the initial income threshold £3,816.83, therefore a taper calculation is required.
 Taper the first entitlement
 The entitlement, in the award for the period, which appears highest in the required taper order is the WTC work elements entitlement.
 The taper amount to be applied to this entitlement is £16,349.31 (income) minus £3,816.83 (initial income threshold) = £12,532.48.
 Then multiply by 41% (taper rate) = £5,138.316
 The taper amount of £5,138.316 is higher than the maximum entitlement amount of £2,842.70 so all of this entitlement to WTC has been tapered away and will no longer be due. WTC = NIL.
 Taper the second entitlement
 The entitlement in the award for the period, which appears next highest in the required taper order is the WTC childcare element entitlement.
 As the working elements of WTC have been reduced to nil, the childcare element of WTC is worked out as follows.
 The taper amount to be applied to this entitlement is £16,349.31 (income) minus £3,816.83 (initial income threshold) = £12,532.48.
 Then multiply by 41% (taper rate) = £5,138.316
 The taper amount of £5,138.316 minus the max WTC elements (excluding childcare) of £2,842.70 gives the excess of £2,295.616.
 The excess amount of £2,295.616 is higher than the maximum childcare element of £1,038.75 so all of this entitlement to WTC childcare has been tapered away and will no longer be due. WTC childcare = NIL.
 Taper the third entitlement
 The entitlement, in the award for the period, which appears next highest in the required taper order is the CTC individual elements entitlement.
 As the childcare elements have been reduced to nil, the CTC individual elements are worked out as follows
 CTC individual elements have a minimum income threshold of £16105.00. This threshold is compared with the amount used to taper the previous WTC work elements and WTC childcare elements to nil. Comparison of the two resulting tapers provides the highest figure, which is used in calculating entitlement to the individual elements of CTC.
 Establish the amount used to taper the previous elements to nil. This is the WTC work elements of £2,842.70 plus the WTC childcare amount £1,038.75 (£3,881.45) then divided by the taper rate 0.41 = £9,466.951, added to the initial income threshold £3,816.83 = £13,283.79 (rounded up).
 Establish the minimum income threshold for the entitlement period. This is the CTC minimum income threshold of £16,105.00 divided by 365 days and multiplied by the number of days in the period, 217 = £9,574.753 and rounded up = £9,574.76.
 A comparison of the two taper figures £13,283.79 and £9,574.76 is made. The highest figure of £13,283.79 is used as the income threshold.
 Income of £16,349.32 is higher than the income threshold of £13,283.79 so a taper amount needs to be calculated.
 The taper amount to be applied to this entitlement is £16,349.32 (income) minus £13,283.79 (income threshold) = £3065.53.
 Then multiplied by 41% (taper rate) = £1,256.87.
 The taper amount £1,256.87 is less than the entitlement maximum amount £1,653.54 so the taper amount is deducted from CTC to find the net amount due = £396.67 and rounded up = £396.67 = the CTC individual element.
Note: The rate of CTC individual elements entitlement is lower in the second entitlement period in response to the loss of the child element for the 16 year old child who did not go on to meet the conditions for qualifying young person element.
 Taper the fourth entitlement
 The entitlement in the award for the period, which appears next highest in the required taper order is the CTC family element entitlement.
 As the CTC individual elements have only been partly tapered away, the CTC family element is worked out as follows.
 The CTC family element has a minimum income threshold of £16,105.00. This threshold is compared with the amount used to taper the previous WTC work elements, WTC childcare elements and CTC individual elements. Comparison of the two resulting tapers provides the highest figure, which is used in calculating entitlement to the CTC family element.
 Establish the amount used to taper the previous elements. This is the WTC work elements of £2,842.70 plus the WTC childcare amount of £1,038.75 plus the CTC individual elements of £1,653.54 (a total of £5,534.99) then divided by the taper 0.41 = £13,499.975 added to the initial income threshold £3,816.83 = £17,316.805.
 Establish the minimum income threshold for the entitlement period. This is the CTC minimum income threshold of £16,105.00 divided by 365 days multiplied by the number of days in the period, 217 = £9,574.753 and rounded up to £9,574.76.
 A comparison of the two taper figures £17,316.805 and £9,574.76 is made. The highest figure of £17,316.805 is used as the income threshold.
 Income of £16,349.32 is lower than the income threshold of £17,316.805 so a taper amount does not need to be calculated. The CTC family element of £325.50, will therefore be due in full.
Summary of calculation for entitlement period 010918 to 050419 within the award period – 02052018 to 05042019
Entitlement period – 01092018 to 05042019
Entitlement  Maximum amount  Taper amount  Net amount due 

WTC Work Elements  £2,842.70  £2,842.70  Nil 
WTC Childcare Elements  £1,038.75  £1,038.75  Nil 
CTC Individual Elements  £1,653.54  £1,256.87  £396.67 
CTC Family Elements  £325.50  Nil  £325.50 
Step 4 – Summary for the total tax credit due for each entitlement period
Entitlement  02/05/18 to 31/08/18  01/09/18 to 05/04/19 

WTC work elements entitlement  Nil  Nil 
WTC childcare elements entitlement  Nil  Nil 
CTC individual elements entitlement  £1,152.65  £396.67 
CTC family element entitlement  £183.00  £325.50 
The award calculation is complete.
Total award for the year
NIL (WTC)
£1,152.65 + £183.00 = £1,335.65 (CTC 122 days)
£396.67+ £325.50 = £722.17 (CTC 217 days)
Therefore total tax credits due for the year = £1,335.65 + £722.17 =£2,057.82 from 02/05/18 to 05/04/19