Future Value (HSC SSCE Mathematics Standard): Flashcards

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Future Value
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Compound interest definition

Interest on both initial principal and accumulated interest

Key feature of compound interest

Earning interest on interest

Future value formula

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

Present value formula

PV=FV(1+r)nPV = \frac{FV}{(1 + r)^n}

What rr represents in compound interest formula

Interest rate per compounding period as a decimal

What nn represents in compound interest formula

Total number of compounding periods

Monthly compounding: how to adjust annual rate and years

Divide rate by 12, multiply years by 12

Formula for interest earned

I=FVPVI = FV - PV

Converting percentage to decimal for formulas

Divide by 100

Relationship between FV and PV for positive interest rates

FV should always be larger than PV

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