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FINANCIAL MATHEMATICS

FINANCIAL MATHEMATICS. MATH 10 – UNIT 4. NET PAY. FM. 4. Students are expected to:. Explain why gross pay and net pay are not the same. Determine the Canadian Pension Plan (CPP), Employment Insurance (EI), and income tax deductions for a given gross pay.

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FINANCIAL MATHEMATICS

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  1. FINANCIAL MATHEMATICS MATH 10 – UNIT 4

  2. NET PAY FM. 4

  3. Students are expected to: • Explain why gross pay and net pay are not the same. • Determine the Canadian Pension Plan (CPP), Employment Insurance (EI), and income tax deductions for a given gross pay. • Determine net pay when given deductions (e.g., health plans, uniforms, union dues, charitable donations, payroll tax).

  4. Vocabulary • earnings • cheque (same as check) • pension • deductions • snowmobile • physical therapist • offshore • pay stub

  5. Key Term NET PAY – the amount you receive on a paycheque after deductions have been taken off. Also called take-home pay

  6. Key Term DEDUCTIONS – an amount of money subtracted from gross pay. It includes: - federal income tax • CPP ( Canada Pension Plan) • - Employment Insurance (EI) It can also include: - union dues, vacation pay, and health or dental insurance

  7. Investigate Net Pay • Please refer to pages 44-45 of your FM textbook.

  8. Deductions and Net Pay • Net Income: • This is the amount made AFTER deductions are taken off for a variety of things (EI, CPP, RRSP, income tax…) • Also called “take-home”pay. • Now that you are familiar with all types of GROSS salary calculations (Lessons 2.1-2.3), let’s factor in some deductions to get a truer picture of what people like you and I make in Canada.

  9. CPP – Canadian Pension Plan Provides you with a pension when you retire Both you and your employer contribute the same amount each paycheque. The 2010 Contribution Rate is 4.95% of everyone’s gross annual income.

  10. CPP Example and Yearly Max 2010 Contribution Rate - 4.95% of gross annual income Example: If your annual salary is $65,000, how much will you contribute to CPP over the year? $65,000 x 0.0495 = $3217.50/yr However, the federal government sets a limit of how much CPP they can take: In 2010 the max CPP was $2163.15.

  11. EI Premium • Employment Insurance Premium • The government collects 1.4 times from your employer as from you. So if you contributed $1.00, your employer would contribute $1.40. • In the year 2010: • EI Rate is 1.73% of an employee’s GROSS income

  12. Example If Tara's gross earnings are $12 987.00 how much will she pay in CPP? (rate of 4.95%)

  13. Example If Tara's gross earnings are $12 987.00 how much will she pay in EI? (rate 1.73%) What is Tara’s net earnings?

  14. Example If Brandon’s gross earnings are $3 876.00 how much will he pay in EI? (rate 1.73%) How much in CPP? (4.95%) What is his net earnings?

  15. Federal Tax Federal tax rates for 2010 are: 15% on the first $40,970 of taxable income, + 22% on the next $40,971 of taxable income (on the portion of taxable income between $40,970 and $81,941), + 26% on the next $45,080 of taxable income (on the portion of taxable income between $81,941 and $127,021), + 29% of taxable income over $127,021.

  16. IF you made $92 000 last year how much would you pay in federal income tax?

  17. Step 1: Calculate the 15% tax deduction for the first $40,970.

  18. Step 2: Calculate the 22% tax deduction for the next $40,971.

  19. Step 3: Calculate the 26% tax deduction for the remaining income. (how much is remaining untaxed?)

  20. Step 4: How much income tax did you pay? Step 5: How much is your net income?

  21. Nova Scotia Provincial Tax 10% of taxable income

  22. Build Your Skills 1. If the federal tax rate is 15%, how much is deducted from your $750.00 paycheque? $750.00 x 0.15 =$112.50 deduction

  23. 2. If your short-term disability insurance rate is 0.5%, what do you pay if your paycheque is $300.00? $300.00 x 0.005 = $1.50 would be paid

  24. 3. If your Canada Pension Plan (CPP) contribution rate is 4.95% and your salary is $1578.00 every two weeks, what will be the CPP deduction? $1578.00 x 0.0495 = $78.11 deduction

  25. 4. Samantha’s monthly taxable income was $3276.54. If she paid $757.24 in taxes, what percentage of her taxable income did she pay? $757.24 ÷ $3276.54 =0.2311 =0.2311 x 100 =23.11%

  26. 5. Patricia’s before-tax deductions amounted to $75.47 on a gross salary of $700.00. A) If she paid $93.68 in federal tax, what is her tax rate? $93.68 ÷ $700.00 =.1338 .1338 × 100 =13.38%

  27. 5. Patricia’s before-tax deductions amounted to $75.47 on a gross salary of $700.00. B) If she paid $36.85 in territorial tax, what is her tax rate? $36.85 ÷ 700.00 =.0526 .0526 × 100 =5.26%

  28. 6. Hans paid $37.51 Employment Insurance (EI) on his taxable monthly income of $2168.21. What is the EI rate? $37.51 ÷ $2168.21 =0.0173 0.0173 × 100 =1.73 %

  29. 7. Randy works at two jobs. In one job, he earns $325.00/week, and had deductions of $56.67 federal tax, $13.12 provincial tax, $16.09 CPP, and $4.14 EI. At his other job, he earns $567.00/week and pays $79.42 federal tax, $16.82 provincial tax, and $18.12 CPP. What is his net income?

  30. Job 1: Total deductions: $56.67+$13.12+$16.99+$4.14 =$90.92 $325.00−$90.92 =$234.08 Job 2: Total deductions: $79.42+$16.82+$18.12 =$114.36 $567.00−$114.36 =$452.64 $234.08 + $452.64 = $686.72

  31. 8. As a part-time college instructor, Kathy teaches an introductory course on Mexican history. She has a biweekly gross income of $3654.75. Her before-tax deductions include a short-term disability premium of 0.5%, union dues of 3.1% and a pension amount of 4%. If she pays federal tax at a rate of 18.5%, provincial tas at a rate of 6.2% CPP at 4.95% and EI at 2.2%, what is her net income?

  32. Short-term disability $3654.75 × 0.005 =$18.27 Union dues $3654.75 × 0.031 =$113.30

  33. Short Term $18.27 Union Dues $113.30 Pension $3654.75 × 0.04 =$146.19 Gross income $18.27+$113.30+$146.19 =$277.76 $3654.75 − $277.76 =$3376.99

  34. Gross Income $3376.99 Federal Tax $3376.99 × 0.185 =$624.74 Provincial Tax $3376.99 × 0.062 =$209.37 CPP $3376.99 × 0.0495 =$167.16 EI $3376.99 × 0.022 =74.29

  35. $624.74+$209.37+$167.16+$74.29 =$1075.56 (TOTAL OF ALL DEDUCTIONS!) $3376.99−$1075.56 =$2301.43

  36. Example # 1 Refer to page 46-47 Classwork • Page 48 • Questions 1-4 Homework • Page 48 • Question # 5

  37. Example # 2 Refer to pages 49-51. Note: There are some errors of this pages due to tax calculations. Please download online. Classwork Questions # 1-7 p. 52 Homework Questions 8-11 p. 53

  38. Reference http://www.novascotia.ca/finance/en/home/taxation/tax101/harmonizedsalestax/default.aspx

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