Using a Present Value Table (HSC SSCE Mathematics Standard): Flashcards

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Using a Present Value Table
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Present value

Lump sum needed today to match future regular payments' value

Annuity

Equal payments made at regular intervals

PV formula using table

PV=intersection value×payment amountPV = \text{intersection value} \times \text{payment amount}

Mathematical PV formula

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

First step in using PV table

Determine time period and rate of interest

Intersection value in PV table

Pre-calculated value where row and column meet

Adjusting annual rate for monthly compounding

Divide annual interest rate by 12

Adjusting years for quarterly compounding

Multiply number of years by 4

Finding payment from known PV

PMT=PVintersection valuePMT = \frac{PV}{\text{intersection value}}

PV compared to FV

PV is always less than FV due to interest earned over time

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