7-7
  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 )
  
  A cash flow 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 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
   
  
  
  
   n  : natural number up to 254
u NFV
   
  
  
u 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.
CF0
CF1
CF2
CF3
CF4
CF5
CF6
CF7
CF0
CF1
CF2
CF3
CF4
CF5
CF6
CF7
NPV = CF0 +           +            +            + … +
(1+ i)
CF
1
(1+ i)
2
CF2
(1+ i)
3
CF3
(1+ i)
n
CFn
i = 
100
I %
NPV = CF0 +           +            +            + … +
(1+ i)
CF
1
(1+ i)
2
CF2
(1+ i)
3
CF3
(1+ i)
n
CFn
i = 
100
I %
 NFV = NPV × (1 + i )
n
 NFV = NPV × (1 + i )
n
0 = CF0 +           +            +            + … +
(1+ i)
CF
1
(1+ i)
2
CF2
(1+ i)
3
CF3
(1+ i)
n
CFn
0 = CF0 +           +            +            + … +
(1+ i)
CF
1
(1+ i)
2
CF2
(1+ i)
3
CF3
(1+ i)
n
CFn