User manual - ｆｘ-CG20 （ソフトウェア）

7-4
3. 複利計算

u
PV、PMT、FV、
n
I
%



I
%


PV

PMT

n

FV


FV

PMT

n

PV


= (1+ i × S) ×
, = (1 + i)
i
1 –
–n
β
β
α
0 ........Payment: End
 

1 ........Payment: Begin
 
i =
100
I%
I%
(1+ ) –1
C/Y
P/Y
100 × [C/Y ]
............................... (P/Y = C/Y = 1)

{
S =
.....
{
u
I
%

i


i



PV
α × 
PMT
 β × 
FV



i

I





n
 
I
%
 
PV
 

PMT
 




PV =
– (α × PMT + × FV)
β
PMT =
PV + × FV
β
α
–
FV =
β
α
PV + × PMT
–
n =
log
(1+ iS) × PMT – FV × i
(1+ iS) × PMT + PV × i
{}
log (1+ i)
PMT = –
n
PV + FV
n =
PMT
PV + FV
–
{ }
× C/Y × 100...
I% =
(1+ i )–1
P/Y
C/Y

i × 100 ................................. (P/Y = C/Y = 1)
{
FV
 

P/Y
 
PMT

C/Y
 