Perpetuities (VCE SSCE General Mathematics): Flashcards

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Perpetuities
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Definition: perpetuity

Investment providing regular payments indefinitely

Key perpetuity characteristic

Payments equal interest earned each period

Perpetuity vs annuity difference

Perpetuity maintains value forever; annuity exhausts funds

Perpetuity loan analogy

Like interest-only vs reducing balance loans

Formula for perpetuity payment DD

D=r100×p×V0D = \frac{r}{100 \times p} \times V_0

DD in perpetuity formula

Regular payment per compounding period

pp in perpetuity formula

Number of compounding periods per year

Perpetuity value over time

Remains constant

Growth multiplier RR formula

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

Factors affecting perpetuity payment

Interest rate, compounding frequency, initial investment

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