Analysing and Modelling Reducing Balance Loans and Annuities (VCE SSCE General Mathematics): Flashcards

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Analysing and Modelling Reducing Balance Loans and Annuities
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Definition of reducing balance loan

Loan with regular payments to reduce balance over time

Definition of annuity

Investment earning interest with regular withdrawals

Recurrence relation for loans/annuities

Vn+1=RVnDV_{n+1} = RV_n - D

VnV_n in recurrence relation

Balance/value after nn payments

DD in recurrence relation

Regular payment amount

RR in recurrence relation

Growth multiplier

Growth multiplier RR formula

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

pp in growth multiplier formula

Number of compounding periods per year

Value of pp for monthly compounding

p=12p = 12

Main difference: loans vs annuities

Loans: owe money; Annuities: invested money

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