Casio FC-200V User Guide - Page 56

Calculation Formulas

Page 56 highlights

• Though I is a financial calculation variable, it is also used by arithmetic and function operations in the COMP Mode. A Calculation Formulas u NPV NPV = CF0 + CF1 (1+ i) + CF2 (1 + i )2 + CF3 (1 + i )3 + ... + CFn (1 + i )n I % i = 100 n: natural number up to 79 u NFV NFV = NPV × (1 + i )n u IRR IRR is calculated using Newton's Method. 0 = CF0 + CF1 + (1+ i) CF2 + (1 + i )2 CF3 + (1 + i )3 ... + CFn (1 + i )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. u PBP {0 CF0 > 0) PBP = n - NPVn ... (Other than NPVn+1 - NPVn those above) Σn NPVn = CFk k = 0 (1 + i)k n: Smallest positive integer that satisfies the conditions NPVn < 0, NPVn+1 > 0, or 0. E-54

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149

E-54
• Though
I
is a financial calculation variable, it is also
used by arithmetic and function operations in the COMP
Mode.
A
Calculation Formulas
u
NPV
n
: natural number up to 79
u
NFV
u
IRR
IRR
is calculated using Newton’s Method.
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
n
: Smallest positive integer that satisfies the conditions
NPV
n
<
0,
NPV
n
+1
>
0, or 0.
0 =
CF
0
+
+
+
+ … +
(1+
i
)
CF
1
(1+
i
)
2
CF
2
(1+
i
)
3
CF
3
(1+
i
)
n
CF
n
PBP
=
NPV
n
=
Σ
{
0
..................................
(
CF
0
>
0)
n
NPV
n
n
k
= 0
NPV
n
+1
NPV
n
CF
k
(1
+
i
)
k
(Other than
those above)
...
NFV
=
NPV
×
(1 +
i
)
n
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
%