Casio series fx-9860g Manual De Usuario

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7-4  Cash Flow (Investment Appraisal)
This calculator uses the discounted cash fl ow (DCF) method to perform investment appraisal 
by totalling cash fl ow for a fi xed 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 fl ow diagram like the one shown below helps to visualize the movement of funds.
With this graph, the initial investment amount is represented by  
CF
0
. The cash fl ow 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 
profi ts that were originally targeted.
 NPV
n
: natural number up to 254
 NFV
 IRR
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.
CF
0
CF
1
CF
2
CF
3
CF
4
CF
5
CF
6
CF
7
CF
0
CF
1
CF
2
CF
3
CF
4
CF
5
CF
6
CF
7
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
%
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
%
 NFV
= NPV 
× (1 + )
n
 NFV
= NPV 
× (1 + )
n
0 = CF
0
+           +            +             + … +
(1 + )
CF
1
(1 + )
2
CF
2
(1 + )
3
CF
3
(1 + )
n
CF
n
0 = CF
0
+           +            +             + … +
(1 + )
CF
1
(1 + )
2
CF
2
(1 + )
3
CF
3
(1 + )
n
CF
n
7-4-1
Cash Flow (Investment Appraisal)