i (%) ;
i ;
i ;
j ;
Ir , ;
I , ;
D (%) ;
d ;
d (%) ;
d ;
f ;
Dr , ;
D , ;
;
S ;
k ;
k. ;
k. ;
k ;
n ;
;
;
ar ;
a ;
ia , ;
Sa , S ;
IH ;
R ( );
A ;
kH. ;
a ;
N ;
Po ;
Pk ;
I0 ;
Pa ;
Q ;
Ia .
, , .
() . ³ . :
S = P/(1 i)n.
³ , , , . , , ( ) .
. ³ . , .
. , . , ( ) , , , . .
|
|
. 3800 . 4 . г 70 %.
:
S = 3800 (1 + 0,7)4 = 31738.
:
S = 3800 / (1 0,7)4 = 475 000.
.
() , ( , , ). , - , .
() . , (365 366) . .
-. 360 30 . 360 , (28, 29, 30 31 ). 365 . , .
:
:
i(%) = 100 %; (1.1)
:
k = ; (1.2)
S ( ):
S = P (1 + ni); (1.3)
S = P (1 + i); (1.4)
( ):
P = ;
:
n = ; (1.5)
:
i = . (1.6)
. , ( ). ( ). , , , (S - P). , .
, , , .
, , () .
³ :
d = ; (1.7)
S:
S = = ; (1.8)
:
|
|
P = S (1 - nd) (1.9)
:
n = ; (1.10)
:
d = . (1.11)
. ( ) , , , , , .
, .
S = P (1 + ic)n ; (1.12)
S = P (1 + j/m)mn(1 + Ij/m) ( m ); (1.13)
S = Pcjn ( ); (1.14)
:
k, = (1 + ic)n (1.15)
, :
k, = (1 + ic)na(1 + nbic); (1.16)
:
P = = Sk ; (1.17)
:
= - 1; (1.18)
:
j = m (; (1.19)
:
n = ; (1.20)
n = ; (1.21)
, . , , .
( , m ): e = 2/71828 S = P ejn
S:
S = ; (1.22)
S = ( m );
:
k, = ; (1.23)
, :
k, = ; (1.24)
:
P = S (1-dc)n; (1.25)
:
n = (1.26)
n = ; (1.27)
:
dc = 1 - ; (1.28)
:
f = m (1 ). (1.29)
. , . () .
, .
i = ; (1.30)
d = ; (1.31)
i = [(1 + ic)n 1]/n; (1.32)
ic = ; (1.33)
i = ; (1.34)
J = m (). (1.35)
(1.36) , , .
ic = (1 + j/m)m 1; (1.36)
j = m (); (1.37)
ic = . (1.38)
. ³ ^s/s, , . a.
(1 + ), , s s ( ), .
ii= (1 + dr)na×(1 + nbdr)( );(1.39)
ii = (1 + am)m ( ). (1.40)
= (1 + dr)na (1 + nadr) ( ); (1.41)
= (1 + am)m ( ). (1.42)
. Գ:
. (1.43)
, , :
i = ; (1.44)
; (1.45)
ica = ; (1.46)
; (1.47)
dca = 1 ; (1.48)
. (1.49)
. , , , .
:
S1 = D/n + Dg; (1.50)
D ;
|
|
g .
:
D2 = D D/n = D (1 1/n). (1.51)
:
S2 = D/n + Dg = D/n + Dg (1 1/n). (1.52)
:
D3 = D D/n = D (1 2/n) . . (1.53)
:
I = Dg + D2g + .. + Dng = Dg (1+ 1 1/n + 1 2/n +.+ 1 {(n 1)/n}. (1.54)
, :
I = Dg [(n + 1)/2]. (1.55)
:
S = D + I = D (1 + g (n +1)/2]. (1.56)
p , , , :
I = [(D/p)g] [(np +1) / 2]. (1.57)
, , , , , .
, . , I (1.57).
D :
S = D + I, (1.58)
, , :
R = (D + I)/np; (1.59)
n ;
p .
, () , , ,
P = S/(1 + i)n = Skd; (1.60)
kd ();
kd = 1/(1 + i)n. (1.61)
R , , i , :
A1 = R / (1 + i),
A2 = R / (1 + i)2,
.
An = R/(1+i)n. (1.62)
, () :
t = 1,
A = å At = R [1 (1 + i) n] / i, (1.63)
t = n.
:
R = Ai / [1 (1 + i)-n]. (1.64)
D, , i (1.64) :
R = D i/[1 (1 + i)-n]. (1.65)
:
S = nR = nD i/[1 (1 + i)-n]. (1.66)
:
I = S D. (1.67)
R p , , , :
R = D [(1 + i)1/p 1] / [1 (1 + i)-n]. (1.68)
S = R . (1.69)
:
A = R . (1.70)
:
k, = . (1.71)
:
. (1.72)
:
R = ; (1.73)
R = . (1.74)
:
n = ; (1.75)
n = . (1.76)
:
. (1.77)
:
|
|
ic . (1.78)
:
(1.79)