15, , . , .
, , . , , . .
, , , ( ). , , .. , , , . ( , ).
, , , , . : , , .
, , , . , .
, .
, , , , .
, S 0 R 0, R 1, R 2,..., Rn t 0 = 0, t 1, t 2,..., tn ( , , ..), i
S0=R0+∑k=1nRk(1+i)tk(18.1)(18.1)S0=R0+∑k=1nRk(1+i)tk
, . , τ (, ..), (18.1) :
S0=R0+∑k=1nRk(1+i)kτ(18.2)(18.2)S0=R0+∑k=1nRk(1+i)kτ
|
|
, , , , (R 1 = R 2 =... = Rn = R), (17.4) :
S0−R0=R(1+i)nτ⋅(1+i)nτ−1(1+i)τ−1(18.3)(18.3)S0−R0=R(1+i)nτ⋅(1+i)nτ−1(1+i)τ−1
, , ( ). .
:
3 ;
( j) 18% ;
() ;
1% ;
0,1%
22,8%. , (18.3):
R 0 = 0,01 S 0;
n = 36;
τ = 112112;
j = 0,18;
: A=jτS01−(1+jτ)−n=0,18⋅112⋅S01−(1+0,18⋅112)−36≈0,0362S0A=jτS01−(1+jτ)−n=0,18⋅112⋅S01−(1+0,18⋅112)−36≈0,0362S0;
R = A + 0,001 S 0 ≈ 0,0372 S 0;
i = 0,228;
(1 + i) τ ≈ 1,017262.
(18.3), S 0 (, , ):
S0−0,01S0≈0,0372S01,01726236⋅1,01726236−11,017262−1S0−0,01S0≈0,0372S01,01726236⋅1,01726236−11,017262−1
.