Explain the concept of interest, calculate the monthly interest rate for ABCBank, state an advantage of a fixed interest rate, and calculate the future value of an investment.

In the given context of a loan, interest is the additional money paid by the borrower to the lender for the use of the principal amount over a specified period. It represents the cost of borrowing money.

Option 2 (ABCBank) has an interest rate of 8.3% per annum. To find the interest rate per month, we divide the annual rate by 12.

One advantage of a fixed interest rate is that it provides predictability for the borrower, as the repayment amounts remain constant throughout the loan period, making budgeting easier.

To prove or disprove Nomkhosi's claim, we need to calculate the total amount payable for all three options and compare them.

Option 1: JIT Bank
(Calculated in 1.4)

Option 2: ABCBank
Principal ($P$) = R20 000
Interest rate ($i$) = 8.3% p.a. = 0.083
Investment period ($n$) = 2 years
Compounding frequency ($m$) = biannually (2 times per year)

Option 3: Parents
Principal ($P$) = R20 000
Interest rate ($i$) = 9.2% p.a. = 0.092
Investment period ($n$) = 2 years
Interest type: simple interest

Comparison:

• Option 1: R23674.88
• Option 2: R23501.38
• Option 3: R23680.00

The lowest total repayment amount is R23501.38, which corresponds to Option 2.
Therefore, Nomkhosi's statement that Option 1 will be the best is incorrect. Option 2 is the best as it results in the lowest total repayment.