![Page 1: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/1.jpg)
![Page 2: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/2.jpg)
![Page 3: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/3.jpg)
![Page 4: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/4.jpg)
C1 C2 C3 … Cn–1 Cn
0 1 2 3 … n–1 n Cn
Cn–1(1+r) … C2(1+r)
n–2
C1(1+r)n–1
Рис. 2 – Логика решения прямой задачи для потока
постнумерандо
![Page 5: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/5.jpg)
1
1 )1( nrC2
2 )1( nrC
1nC).1(1 rCn
.11
knn
k
kpst rCFV
![Page 6: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/6.jpg)
.
1,...,
1,
1 2
21
n
n
r
C
r
C
r
C
C1 C2 C3 … Cn–1 Cn
0 1 2 3 … n–1 n
C1/(1+r)
C2/(1+r)2
C3/(1+r)3
Cn/(1+r)n
![Page 7: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/7.jpg)
n
kk
kpst
r
CPV
1 1
![Page 8: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/8.jpg)
![Page 9: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/9.jpg)
0 1 2 1n n–1
а
1 2
б
0
Рисунок 6. Виды постоянных аннуитетов: пренумернадо (а) и
постнумерандо (б)
n . . . . . . 1n n–1 n
А А . . .
4
![Page 10: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/10.jpg)
1
(1 ) 1(1 ) .
nnn k
pst
k
rFV A r A
r
![Page 11: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/11.jpg)
1
1 1 (1 )( .(1 )
nn
pst kk
rPV A A
r r
![Page 12: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/12.jpg)
/
(1 ) 1
,
(1 ) 1
m n
pstm p
r
mFV Ar
m
/
1 (1 )
.
(1 ) 1
n m
pstm p
r
mPV Ar
m
![Page 13: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/13.jpg)
1 5
1/4
0,12(1 ) 1
110 265,279.0,12
(1 ) 11
FV
4 5
4/4
0,12(1 ) 1
410 268,704.0,12
(1 ) 14
FV
12 5
12/4
0,12(1 ) 1
1210 269,528.0,12
(1 ) 112
FV
![Page 14: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/14.jpg)
1)1
24,01(
)1
24,01(1
1001/1
110
pstPV
1)4
24,01(
)4
24,01(1
1001/4
410
pstPV
1)12
24,01(
)12
24,01(1
1001/12
1210
pstPV
![Page 15: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/15.jpg)
( 1) 0,А z n 1 .A
nz
![Page 16: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/16.jpg)
(1 ) 1( ) .
n
pst
z r znFV A
r r r
1 (1 )( ) .
(1 )
n
pst n
z r znPV A
r r r r
![Page 17: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/17.jpg)
2 3 2 1, , , ,..... , .n nA A x A x A x A x A x
(1 );
(1 )
n n
pst
x rFV A
x r
(1 ).
(1 ) (1 )
n n
pst n
A x rPV
r x r
![Page 18: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/18.jpg)
8500 (1 0,1) 1 500 8(4 000 ) 62 923.
0,1 0,1 0,1pstFV
![Page 19: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/19.jpg)
8
8
500 1 (1 0,1) 500 8(4 000 ) 29 354.
0,1 0,1 0,1 (1 0,1)pstPV
8500 (1 0,1) 1 500 8(4 000 ) 28 654.
0,1 0,1 0,1pstFV
8
8
500 1 (1 0,1) 500 8(4 000 ) 13 325.
0,1 0,1 0,1 (1 0,1)pstPV
28 564
![Page 20: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/20.jpg)
![Page 21: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/21.jpg)
![Page 22: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/22.jpg)
![Page 23: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/23.jpg)
51 (1 0,13)20 000 ,
0,13A
![Page 24: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/24.jpg)
![Page 25: Презентация PowerPointTUSUR+AF+2017_02... · 2 2 (1 ) C r n Cn 1 C n 1 (1 r). 1 . 1 n n k k FV pst C k r ... Презентация PowerPoint Author: Aziza Created Date:](https://reader036.vdocuments.site/reader036/viewer/2022081615/5fdb9ad4dea594028e43480e/html5/thumbnails/25.jpg)