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4 cash flow (investment appraisal), Cash flow (investment appraisal) -4-1, I = 100 i – Casio fx-9860G SD User Manual

Page 378

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7-4 Cash Flow (Investment Appraisal)

This calculator uses the discounted cash flow (DCF) method to perform investment appraisal
by totalling cash flow for a fixed period. This calculator can perform the following four types
of investment appraisal.

• Net present value (

NPV

)

• Net future value (

NFV

)

• Internal rate of return (

IRR

)

• Payback period* (

PBP

)

* The payback period (

PBP

) can also be called the “discounted payback period” (

DPP

).

When the annual interest rate (

I

%) is zero, the

PBP

is called the “simple payback period”

(

SPP

).

A cash flow diagram like the one shown below helps to visualize the movement of funds.

CF

0

CF

1

CF

2

CF

3

CF

4

CF

5

CF

6

CF

7

With this graph, the initial investment amount is represented by

CF

0

. The cash flow one year

later is shown by

CF

1

, two years later by

CF

2

, and so on.

Investment appraisal can be used to clearly determine whether an investment is realizing
profits that were originally targeted.

u NPV

NPV

= CF

0

+ + + + … +

(1 + i )

CF

1

(1 + i )

2

CF

2

(1 + i )

3

CF

3

(1 + i )

n

CF

n

i =

100

I

%

n

: natural number up to 254

u NFV

NFV = NPV

× (1 + i )

n

u IRR

0 = CF

0

+ + + + … +

(1 + i )

CF

1

(1 + i )

2

CF

2

(1 + i )

3

CF

3

(1 + i )

n

CF

n

In this formula,

NPV

= 0, and the value of

IRR

is equivalent to

i

× 100. It should be noted,

however, that minute fractional values tend to accumulate during the subsequent
calculations performed automatically by the calculator, so

NPV

never actually reaches

exactly zero.

IRR

becomes more accurate the closer that

NPV

approaches to zero.

7-4-1

Cash Flow (Investment Appraisal)

20050601