Nominal and Effective Interest Rates (Grade 11 NSC Matric Mathematics): Quizzes

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Nominal and Effective Interest Rates
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What is a nominal interest rate?

Rate compounded more than once per year

What does an effective interest rate show?

The real percentage increase over one year

When interest is compounded more than once per year, which rate is higher?

Effective rate is always higher

Why is the effective rate higher than the nominal rate?

Interest on interest is earned more often

What happens to the effective rate when compounding becomes more frequent?

The effective rate increases

23% p.a. compounded monthly equals what effective rate?

25.59% per annum

In the formula (1+i)=(1+i(m)m)m(1+i)=(1+\frac{i^{(m)}}{m})^m, what does mm represent?

Number of compounding periods per year

When borrowing money, which effective rate should you choose?

The lower effective rate

Before comparing different interest rates, what must you do?

Convert all rates to effective rates

9% effective equals what nominal rate compounded quarterly?

8.71% per annum

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