Tema2.MatematicaFinanciera
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Transcript of Tema2.MatematicaFinanciera
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AE II. B C
2. M F.
2.1. E D.
A ,
(
). E :
o E D
o E
.
.
A:
o ;
A ,
:
= ( )
D: , .E .
E 1: C A 100 110 :
=110100100 = 10%
o
F: F
A, :
= ( 1 + )
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C 1:
= 100(1 + 1 0 %)= 110
o A: I
A, :
=
( 1 + ) C 1:
= 110100(1+10%)= 100
o L A ,
100%, 100%.
E 2: I 100
A 10% 1 10% 2:
L:
o
;
L
:
= ()
E 3: C L
100 110 :
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= 110100= 9.53%
o F: F
L, :
= C 3:
= 100.%= 110
o
A: I L, :
= C 3:
= 110.%= 100
o
L L :
:
E 4: I 100
L 10% 1 10% 2:
= 100%%= 100(%%)= 100
E 5: L L
L :
= = ()=
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o L A L,
, .
o L L (CL:
), .
2.2. C D:
o
L , , ,
.
o E
(=0, =) (
), F (C) A
().
E 6: I
100 =0 110 =1, 10%
.
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C:
o L
. C
.
o L C :
I)
C :
= ( 1 + ) D (
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E 8: C () 5%
100 90 ( 3 ) /360
:
E : 100 * (1+ 5%) (90/365) = 101.227
E : 100 *(1+ 5%) (3/12) = 101.227
III) C C:
C C,
(
, ):
1 +
=
:
=
L
.
.
E 9: C () 5%
100 90 ( 3 ) /360:
E : 100 * (5% * 90/365) = 101.258
E : 100 * (5% * 3/12) = 101.258
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o E
= (1 + )
= (1 +)
;
o E
E
A
M
C
:
,
:
=
I
=
1
:
E
,
.
10: E
100 10%:
: 100 * (1 + 10%) = 110
: 100 * (1 + 10%/2)(2 * 1)
= 110.25
: 100 * (1+ 10%/4)(4 * 1)
= 110.38
: 100 * (1+ 10%/12)(12 * 1)
= 110.47
: 100 * (10% * 1)
= 110.52
:
.
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D:
o L
. D
.
o F D: E
F D (
).
o E D ,
C, I C:
) D :
=
(1 + )
F D :
= 1( 1 + )
E 11: C () 5% 100 /:
= = 1( 1 + )= 100 1
1 + 5 %= 95.24
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)
D C:
=
( 1 + )
F D C :
= 1( 1 + )
E 12: C () 5%
100 /:
= = 1( 1 + )= 100 1
(1+5%)= 90.70
)
D C:
=
F D :
= E 13: C () 5%
100 /:
= = = 100 %= 95.12
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o D :
H
. D ,
.
,
. E
F D :
:
I)
C C:
= (1 + )(1 + ) ( 1 + )
II) D C:
=
( 1 + )(1 + ) ( 1 + )
III)
C C:
= =
I)
D C:
=
E 14: C FD 3
( ) ; 3%, 4%
5% :
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2.2.
A :
A ,
.
A.
( )
( ) .
E ,
.
E 15: C A 01/01/2012
100, 5% FD
:
2.1.D I:
H ,
:
: ,
:
(1 + )=(1 + )( 1 + )
E 16: ()
5% 3%. C :
=(1 + )( 1 + ) 1 =(1 + 5 %)(1+3%) 1 = 1.94%
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A E:
I E ,
, AE:
(1+ )=(1 + ) E 17: 1% (=12).
C AE:
=(1 + 1 %)1 = 12.68%
I : ()
, I E :
= E 18: 1% (=12).
C I:
= 1% 12 = 12%2.3.
:
A :
)
A: C, , :
, = (1 + )
= (1 1( 1 + ))
1
) : C, ( ):
, =
:
)
A %, C, , :
,,= (1+)
( 1 + )
= 1 + (1
1 + 1 +
) 1
)
%, C, % > %:
,,=
