Lesson Notes By Weeks and Term v5 - Grade 12

Lesson Video

This page supports the lesson note with a companion video and a short classroom-ready summary.

For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.

Performance objectives

• Calculate total repayment and interest on various loans.
• Compare different investment options.
• Analyze the impact of interest rates and loan terms.
• Make informed decisions about borrowing and investing.
• Calculate the effects of inflation on investments.

Lesson summary

This week, we're diving back into the world of loans and investments, building upon what you've learned previously. Financial literacy is crucial, especially in South Africa, where navigating the economic landscape requires informed decision-making. Understanding loans and investments empowers you to manage your money wisely, avoid debt traps, and build a secure financial future. This isn't just about numbers; it's about making informed choices that impact your life and the lives of your families. We will explore how different loan types affect repayments and compare investment options available in South Africa, allowing you to make more informed financial choices.

Lesson notes

Loans: A loan is essentially borrowing money from a lender (e.g., a bank) with the agreement to repay it, usually with interest, over a specific period. Different types of loans exist, each with its own characteristics: Simple Interest: Interest is calculated only on the principal amount (the original amount borrowed).

The formula is: A = P(1 + rt)* Where: A = Total amount to be repaid P = Principal amount (initial loan amount) r = Interest rate (expressed as a decimal) t = Time (in years)

Compound Interest: Interest is calculated on the principal amount and on the accumulated interest from previous periods. This means you earn interest on interest (or pay interest on interest).

The formula is: A = P(1 + r/n)^(nt)* Where: A = Total amount to be repaid P = Principal amount (initial loan amount) r = Interest rate (expressed as a decimal) n = Number of times interest is compounded per year (e.g., annually = 1, semi-annually = 2, quarterly = 4, monthly = 12) t = Time (in years)

Hire Purchase: A type of loan where you pay for an asset (e.g., a car, furniture) in installments, but you don't own it until the final payment is made. Hire purchase agreements often include interest and other charges. Total amount to be paid = Deposit + (monthly installment number of months) Interest Paid = Total amount to be paid - Cash price Investments: Investments are ways to grow your money over time. You put money into something (e.g., a bank account, a unit trust) expecting it to increase in value. Common investment options in South Africa include: Savings Accounts: Offered by banks and financial institutions, savings accounts typically offer lower interest rates but are a safe and accessible way to save.

Fixed Deposits: You deposit a fixed amount of money for a fixed period, earning a fixed interest rate. Generally offers higher interest than regular savings accounts, but your money is locked in.

Unit Trusts (Mutual Funds): A collective investment scheme where your money is pooled with other investors and managed by a professional fund manager. Unit trusts can invest in various assets like stocks, bonds, and property. This carries more risk, but can provide higher returns.

Retirement Annuities: Long term investments specifically for retirement. Contributions are tax deductible (up to a limit) and the investment grows tax-free until retirement.

Shares: Buying shares in a company means you own a small part of that company. Returns come from dividends (a share of the company's profits) and capital appreciation (the increase in the share price). This is considered higher risk.

Inflation: Inflation is the rate at which the general level of prices for goods and services is rising, and subsequently, purchasing power is falling. Inflation erodes the real value of your money over time. It is essential to consider inflation when evaluating investments.

The formula is: Real Rate of Return = Nominal Rate of Return – Inflation Rate

Worked example

Example 1: Simple Interest Loan

Maria borrows R5,000 from a family member at a simple interest rate of 8% per year for 3 years. Calculate the total amount she needs to repay.

P = R5,000

r = 8% = 0.08

t = 3 years

A = P(1 + rt) = R5,000(1 + 0.08 3) = R5,000(1 + 0.24) = R5,000 * 1.24 = R6,200

Maria needs to repay a total of R6,

2

0

0. The interest paid is R6,200 - R5,000 = R1,200.