n
NPVn = Σ
k = 0

15-4-4

Cash Flow

Calculation Formulas

u NPV

CF1

 

 

 

CF2

 

 

 

CF3

 

 

 

CFn

NPV = CF0 +

 

+

 

 

+

 

+

....

+

(1+ i )

(1+ i )2

(1+ i )3

 

(1+ i )n

n: natural number up to 79

uNFV

NFV = NPV (1 + i )n

uIRR

IRR is calculated using Newton’s Method.

0 = CF0 +

CF1

 

+

 

CF2

 

+

 

CF3

 

+

....

+

 

CFn

(1+ i )

(1+ i )2

(1+ i )3

(1+ i )n

 

i = I % 100

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.

u PBP

PBP =

0 ..................................

NPVn

 

(CF0 > 0)

 

...

 

{n NPVn+1 NPVn

(Other than those above)

 

 

CFk (1 + i)k

n: Smallest positive integer that satisfies the conditions NPVn <0, NPVn+1 >0, or 0.

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