Use of Annuities (HSC SSCE Mathematics Standard): Flashcards

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Use of Annuities
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Reducing-balance loan definition

Each payment reduces amount owed and interest on remaining balance

5 components of annuity table

Payment no., amount, interest, principal change, balance

Interest behaviour in loan repayments

Decreases with each payment as balance becomes smaller

Principal reduction behaviour in loans

Increases with each payment

Superannuation as annuity type

Regular payments build savings for retirement

Australian employer super contribution rate

9.5%9.5\% of income

Super balance growth sources

Regular contributions and compound interest

Formula for future value with compound interest

FV=PV(1+r)nFV = PV(1 + r)^n

Formula to calculate interest earned/paid

I=FVPVI = FV - PV

Balance behaviour: loans vs investments

Loans decrease, investments increase over time

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