MATEMÁTICA FINANCEIRA

Prévia do material em texto

���������� ���	��
���
����	�����
������������������
���� ���
�� !�" #$�&#'�'$!#(�
)*+,+-./1+23,+4567 89:;<7�<=8;>8;8:?@9:AB;
)4CD/E+F5(�&�!GH#�!' !GG#�� I+J2K3C4+5=8;>8;8:?@9:
)3L2J/M5>N8OP;8N8 Q+J+5=@R8SR=8;>;@T9ST9@EU,D+4,V+W+F
 ;
X
YZP[\]^ E_L`a5bcdecdfghidjF )3L2J/58N8k;N8
)l+Jm2,+W/M,JLnopq)__orWLbjkcekdh3/lLDJ+sCL+ClLDJ/Ltu2LMM,*/D/u2,lL,2/J2,lLMJ2LLtu4,3++
sCLW+WL*LDW+M5+MMCMJ+W/3/l/u2L-/v/3/DMCl,W/2ML2LJ2+,Cv/uJ/CuL4/3+22/CM+W/v/sCLLV/MLwlLDJ/
32LM3L2D/uL2K/W/arLwCDW/+l+Jm2,+v/u2L-/u2+J,3+W/W/_+DwL_/*L2x*/sCLvW+p+DW_/*L2sCL3CMJ+*+_y
djgvfl,4MCz,Cu+2+bgdl,4a{C+4/,/+ClLDJ/uL23LDJC+4D/u2L-/|
divih}
dfvb}
d~vd}
devi}
djvg}
6XX€\^$^ ‚Pƒ\XO^ a
 =
X
YZP[\]^ E_L`a5bcdecbd~idjiF )3L2J/58N8k;N8
)/*LDWL2ClL4LJ2/W/lmMJ,3/u/2_yhabiivccvCl3/lL23,+DJL4C32+di}aQLJL2l,DL/3CMJ/WLMML+u+2L4„/
u+2+/3/lL23,+DJLa
_ygajccvcc
_ygaeccvcc
_yha~jgvbi
_ygafccvcc
_yga~ccvcc
 ?
X
YZP[\]^ E_L`a5bcdecddcbfeiF )3L2J/5;N8k;N8
)u+2J,2WLCl3+u,J+4WL_yiacccvccv+u4,3+W/+Cl+J+t+WLg}+alavD/2Lw,lLWL…C2/MM,lu4LMvu/WL†ML/zJL2
Cll/DJ+DJL+3ClC4+W/LldblLMLMWL5
_yfa~ccvcc
_yiadicvcc
_yfabccvcc
_yfagccvcc
_yia~ccvcc
6XX€\^$^ ‚Pƒ\XO^ a
 9
X
YZP[\]^ E_L`a5bcdecbd~diibF )3L2J/5;N8k;N8
QLJL2l,DL/*+4/2W++u4,3+-./3C…/*+4/2WL2LMw+JLz2CJ//,WL_y~habh~vccu/2CluL2K/W/WLglLMLMv
M+zLDW/†MLsCL+J+t+WL+u4,3+-./vxI‡n_orrˆI1pxrv/,WLdvee}+/l‰M5
_y~~acccvcc
_yecacccvcc
���������� ���	��
���
����	�����
������������������
���� ���
��!"#"""$""
��%"#"""$""
��&"#"""$""
 '
(
*+,-./01�23#45"67"6%568%%9 :;2<=>4?@?AB@?
CDE>FGHID2FH;HJ2<F2=HJ2E>DEHFKH=2L>MDLH=HNHJ2HEOP;HKQ>JP32<2F=22L;HJHLRM#CHS2TM2ID2F>
E<PL2P<>LRMH=HNHJ2HEOP;HKQ>3>PJ26$8UH#L#$F>M2VDFJ>LRM3>PJ26UH#L#2F>=2<;2P<>LRM3>PJ25U
H#L#C2GW=<RML2M2MJ2E>MP=2P��6"#"""$""$IDHF=>=2FG>HV><HX
��6"#Y"6$YZ
��6"#5!%$Z8
��6"#Y8&$8Z
��6"#Z!6$"Z
��6"#5%7$8Z
[(\(]^.0_0` ,a.(b0# [(\(]^.0_0` ,a.(b0#
 c
(
*+,-./01�23#45"67"5"675"&9 :;2<=>4B@?AB@?
dDHO>eHO><HM2<PFe2M=PJ>G>f2g=HNHJ2fD<>M;>LE>M=>MJ2Z"UH>HF>$EH<HM2>S=2<JHIDPH5HF>M>
L>F=HF=2J2�68#"""$""X
�%#87%$7Y
�%#%78$7Y
�%#!"6#7Y
�%#!87$Y7
�%#!""$7Y
 h
(
*+,-./01�23#45"67"6%Y8Z%"9 :;2<=>4B@?AB@?
dDHOH=HNHSPL2M=<HO2IDPeHO2F=2H"$5UHIDPFi2FH1DMH<fD<>MMPLEO2M9X
"$8U
"$YU
"$%U
"$!U
"$ZU
 j
(
*+,-./01�23#45"67"6%Y8Z789 :;2<=>4B@?AB@?
C2H=HNH232=PeHJ2DLF2Vk;P>lJ256UH>HF>IDHOM2<WH=HNH232=PeHL2FMHO1DMH<fD<>MMPLEO2M9X
6$6YU
6$!U
6$5U
6$78U
5$!U
���������� ���	��
���
����	�����
������������������
���� ���
 �
 
"#$%&'()*+,-./012013456789 :;+<=>.?@AB?@A
CDEFG>HEF><I>I+J;>K=>)*L9M><,><EI+DN;O+PD+I+L6-000Q00I+J;>K=EI>1/0IREJEK=+JI>J+DH+K;RN+K=>
;>N=ESEI+/TE>NUJV
/40
/70
/10
/00
185
 ?A
 
"#$%&'()*+,-./0120/0520089 :;+<=>.?@AB?@A
WNEIDMFR;E=EQ;>NHEF><K>NRKEFI+*L100-000Q00Q,>RI+J;>K=EI>80IREJEK=+JI+J+DH+K;RN+K=>Q
M<>M><;R>KEKI>DNHEF><E=DEFI+*L38-7/5Q25-X+=+<NRK+E=ESEI+I+J;>K=>JRNMF+JN+KJEFI+J=E>M+<EYZ>V
6Q47TE>NUJ
6Q37TE>NUJ-
1Q1/TE>NUJ
11Q52TE>NUJ-
0Q1/TE>NUJ-