Lesson Notes By Weeks and Term v5 - Grade 10

Lesson Video

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Performance objectives

• Calculate gross and net income.
• Create a basic personal or household budget.
• Analyze income and expenditure statements.
• Calculate simple and compound interest.
• Distinguish between needs and wants in a budget.

Lesson summary

Personal and household finance is crucial for making informed decisions about money, budgeting, saving, and spending. In South Africa, understanding these concepts is particularly important due to diverse economic conditions, income inequalities, and the need for financial literacy to empower individuals and families. This week, we'll focus on calculating income and expenditure, understanding budgeting principles, and analyzing financial statements. By mastering these skills, you'll be better equipped to manage your own finances, plan for the future, and make responsible financial choices. Poor financial literacy can lead to debt, financial stress, and limited opportunities.

Lesson notes

2.1 Income and Expenditure Income: Money received from various sources, such as salaries, wages, allowances, investments, or business profits.

Gross Income: Total income before any deductions (e.g., tax, UIF, medical aid).

Net Income: Income after all deductions (also known as "take-home pay").

Example: Sipho earns a gross salary of R12,000 per month. His deductions include R2,500 for tax, R150 for UIF, and R800 for medical aid. His net income is R12,000 - R2,500 - R150 - R800 = R8,

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0. Expenditure: Money spent on goods and services.

Fixed Expenses: Expenses that remain relatively constant each month (e.g., rent, bond repayments, insurance premiums).

Variable Expenses: Expenses that fluctuate each month (e.g., groceries, electricity, transport, entertainment).

Discretionary Expenses: Non-essential expenses that are for wants, not needs (e.g., eating out, movies, new clothes if you already have enough).

Example: A household's fixed expenses are R5,000 (rent), R500 (insurance), and R300 (internet). Their variable expenses are R2,000 (groceries), R800 (electricity), and R700 (transport). Their discretionary expenses are R500 (entertainment). 2.2 Budgeting A budget is a plan that shows how income will be used to cover expenses. It's essential for managing money effectively and achieving financial goals.

Creating a Budget: List all sources of income (gross and net). List all expenses (fixed, variable, and discretionary). Calculate total income and total expenditure. Compare total income to total expenditure. If expenditure exceeds income, identify areas to reduce spending.

Budget Surplus: When income is greater than expenditure. This means you have money left over to save or invest.

Budget Deficit: When expenditure is greater than income. This indicates a financial problem that needs addressing.

Balanced Budget: When income equals expenditure. While balanced, it might not allow for savings or investments. 2.3 Needs vs. Wants Understanding the difference between needs and wants is crucial for effective budgeting.

Needs: Essential goods and services required for survival (e.g., food, shelter, basic clothing, healthcare).

Wants: Non-essential goods and services that are desired but not necessary for survival (e.g., designer clothing, expensive gadgets, luxury vacations).

Example: Food is a need; eating at an expensive restaurant every night is a want. Shelter is a need; living in a mansion is a want. 2.4 Simple and Compound Interest Simple Interest: Interest calculated only on the principal amount (the initial amount of money).

Formula: Simple Interest = Principal x Rate x Time (I = PRT)

Where: P = Principal amount R = Interest rate (as a decimal) T = Time (in years)

Example: You invest R1,000 at a simple interest rate of 5% per year for 3 years. Interest earned = R1,000 x 0.05 x 3 = R

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0. The total amount after 3 years is R1,000 + R150 = R1,

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0. Compound Interest: Interest calculated on the principal amount and on the accumulated interest.

Formula: A = P(1 + r/n)^(nt)

Where: A = the future value of the investment/loan, including interest P = the principal investment amount (the initial deposit or loan amount) r = the annual interest rate (as a decimal) n = the number of times that interest is compounded per year t = the number of years the money is invested or borrowed for

Example: You invest R1,000 at a compound interest rate of 5% per year, compounded annually, for 3 years. A = R1,000 (1 + 0.05/1)^(13) = R1,000 (1.05)^3 = R1,000 * 1.157625 = R1,157.

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3. The total amount after 3 years is R1,157.

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3. Notice it is more than simple interest! Guided Practice (With Solutions)

Question 1: Thando earns a gross monthly salary of R8,

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0. Her deductions are: PAYE (tax) R1,200, UIF R80, Medical Aid R

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0. Calculate her net monthly salary.

Solution: Net Salary = Gross Salary - PAYE - UIF - Medical Aid Net Salary = R8,000 - R1,200 - R80 - R500 = R6,220 Thando's net monthly salary is R6,

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0. Commentary: This problem directly applies the concepts of gross and net income. It is a simple subtraction problem, but understanding the terminology is key.

Question 2: David wants to buy a new cellphone costing R3,

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0. He has R1,000 saved. He decides to save R200 per month. How many months will it take him to save enough to buy the cellphone?

Solution: Amount needed = R3,000 - R1,000 = R2,000 Number of months = Amount needed / Monthly savings Number of months = R2,000 / R200 = 10 months. It will take David 10 months to save enough money.

Commentary: This question involves a simple savings calculation, demonstrating a practical application of budgeting.

Question 3: Sarah invests R5,000 in a fixed deposit account that pays simple interest at a rate of 7% per year. How much interest will she earn after 4 years?

Solution: Simple Interest = Principal x Rate x Time I = PRT I = R5,000 x 0.07 x 4 = R1,400 Sarah will earn R1,400 in interest after 4 years.

Commentary: This problem applies the simple interest formula.