Modelling Compound Interest Investments With Additions to the Principal (VCE SSCE General Mathematics): Flashcards

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Modelling Compound Interest Investments With Additions to the Principal
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Annuity investment

Compound interest investment with regular additions

Growth multiplier RR formula

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

RR in recurrence relation

Growth multiplier for geometric/percentage growth

DD in recurrence relation

Fixed amount added or subtracted each period

Annuity investment recurrence relation

V0=principal,Vn+1=RVn+DV_0 = \text{principal}, V_{n+1} = RV_n + D

Monthly compounding: pp value

p=12p = 12

Quarterly compounding: pp value

p=4p = 4

rr in growth multiplier formula

Annual interest rate (as a percentage)

pp in growth multiplier formula

Number of compounding periods per year

Why early contributions are beneficial

Compound interest earned on them for longer time

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