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Consider the following hypothetical personal income tax rates and brackets: Federal tax:  $0

Economics Sep 19, 2020

Consider the following hypothetical personal income tax rates and brackets: Federal tax:  $0.01 to $50,000: 15% $50,000.01 to $100,000: 24% $100,000.01 and over: 30% Provincial tax:  $0.01 to $40,000: 5% $40,000.01 to $80,000: 8% $80,000.01 to $120,000: 12% $120,000.01 and over: 15% Lijun earns $70,000 a year. She claims $10,000 a year in child care expenses. How much tax does she save each year by claiming her child care expenses? Show your work 

Expert Solution

Case with no child care expense claim

Income = $70,000

 

Federal Tax:

15% on first $50,000:

= 0.15 × 50,000

= $7,500

 

24% on the remaining = 0.24 × (70000- 50000)

= $4,800

 

Provincial Tax

5% on first $40,000 = 0.05 × 40,000

= $2,000

 

8% on the remaining = 0.08 × (70000- 40000)

= $2,400

 

Total Tax with no child care expense claim = $7500 + $4800 + $2000 + $2400

= $ 16700

 

Case with child care expense claim

Taxable income = $70,000 - $10,000

= $60,000

 

Federal Tax:

15% on first $50,000 = 0.15 × 50,000

= $7,500

 

24% on the remaining $10,000 = 0.24 × 10,000

= $2,400

 

Provincial Tax

5% on first $40,000 = 0.05 × 40,000

= $2,000

 

8% on the remaining $20,000 = 0.08 × 20,000

= $1,600

 

Total Tax with child care expense claim = $7500 + $2400 + $2000 + $1600

= $35100

 

Tax Saving Done by Lijun = $16,700 - $13500

= $3200

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