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

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Interest Rates Over Different Time Periods and Effective Interest Rates
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Nominal interest rate

The quoted annual interest rate

Compounding period

How often interest is calculated and added to balance

Value of pp for monthly compounding

p=12p = 12

Value of pp for quarterly compounding

p=4p = 4

Value of pp for weekly compounding

p=52p = 52

Formula: nominal rate to compounding period rate

Divide by pp: rac{ ext{Nominal rate}}{p}

Growth multiplier RR with pp periods per year

R = 1 + rac{r}{100 imes p}

Effective interest rate

Actual % increase over one year, accounting for compounding

Formula for effective interest rate rexteffr_{ ext{eff}}

[(1 + rac{r}{100 imes n})^n - 1] imes 100%

Better effective rate for borrowers

Lower effective interest rate

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