Compound Interest (HSC SSCE Mathematics Standard): Flashcards

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Compound Interest
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Compound interest definition

Interest on principal AND on previously earned interest

Future value formula

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

FVFV meaning in compound interest

Future value (final amount)

PVPV meaning in compound interest

Present value (initial amount)

rr meaning in compound interest formula

Interest rate per compounding period (as decimal)

nn meaning in compound interest formula

Number of compounding periods

Formula to calculate interest earned

I=FV−PVI = FV - PV

How to adjust formula for monthly compounding

Divide annual rate by 12, multiply years by 12

Present value formula

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

Graph shape of compound interest over time

Exponential curve that gets steeper

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