Payment due at the end of the period

Chapter 11: Financial Features

•Vertical arrows along the horizontal line indicate the cash flow. An UP arrow indicates inflow (+) and a DOWN arrow indicates outflow (–).

•The calculator considers the cash inflow for each period is constant. (Even payment.)

2.Determine the time each payment is due.

For deposits and loan payments, the time each payment is due (paid at the beginning or the end of the period) makes for a different cash flow diagram.

Payment due at the end of the period

(+)	PV
Cash flow		I %	FV
Cash flow
		Time flow	N – 1 N
(–)	1	2	N – 1 N
(–)		PMT
		PMT

Payment due at the beginning of the period

(+) PV

I %

Cash flow

		Time flow
(–)	1 2		N – 1 N

		PMT

In this case payment is due at the end of the period.

3.Determine the inflow and outflow and place the present value (PV = $200,000) on the diagram.

We can consider the present value (PV) as a loan and thus inflow (revenue) from the customer’s point of view. So, place the PV at the top left end of the diagram. We also can consider the principal interest total (Future value) as outflow (payment). Draw a vertical line with a DOWN arrow on the top of the diagram.

4.Complete the diagram with interest (I%), number of payment periods (N), future value (FV), and other required numbers.

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EL-9900 specifications

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Sharp EL-9900 Payment due at the end of the period, Payment due at the beginning of the period

Models: EL-9900

Payment due at the end of the period

Payment due at the beginning of the period

EL-9900 specifications