Interest Rates Over Different Time Periods and Effective Interest Rates (VCE SSCE General Mathematics): Quizzes

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Interest Rates Over Different Time Periods and Effective Interest Rates
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What is the nominal interest rate?

The quoted annual interest rate

For quarterly compounding, what is the value of pp?

p=4p = 4

Convert 6%6\% per annum to a monthly compounding rate.

0.5%0.5\%

What is the growth multiplier formula for different compounding periods?

R=1+r100×pR = 1 + \frac{r}{100 \times p}

Calculate RR for 9%9\% p.a. with monthly compounding.

R=1.0075R = 1.0075

For weekly compounding, what is the standard value of pp?

p=52p = 52

What does the effective interest rate represent?

Actual % increase over 1 year with compounding

Which effective interest rate formula is correct?

reff=[(1+r100n)n1]×100%r_{eff} = [(1+\frac{r}{100n})^n-1] \times 100\%

For a borrower comparing loans, which effective rate is better?

Lower effective rate

Convert 5.2%5.2\% p.a. to a quarterly compounding rate.

1.3%1.3\%

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