Cálculo Financeiro e Análise de Projectos

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  • 7/31/2019 Clculo Financeiro e Anlise de Projectos

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    SIF\CXWFMDMC IA\D MC OFWHADLDGSOMDMC MC GFIGFDW C ]CGIAOA@FD

    DIA OCG]F\A 8>48!8>47

    4 Wcecw}xc

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    ^dx}c D % Gogsoa Lfidigcfxa

    4) Ws~aibd tsc `dibas se ~xefa mc 4> >>> csxaw c tsc obc laxde gaoagdmdw dw wc`sfi}cw~xa~aw}dw tsdi}a da wcs xcgchfeci}a;

    ^xa~aw}d 4; 3 >>> csxaw bakc c a xcw}di}c ce 3 ~d`deci}aw disdfw mc 4 >>> csxaw/ gaecdima d

    xcgchcx mdtsf d se dia)

    ^xa~aw}d 8; 7 >>> csxaw bakc c a xcw}di}c mdtsf d se dia)

    Wdhc tsc wc tsfwcx gai}xdfx ce~xw}feaw as d~ofgdx a wcs mfibcfxa d }drd mc ksxa xcoc|di}c mc =#"disdo&) Tsdo d ~xa~aw}d tsc cwgaobc1

    8) Ws~aibd tsc cw} d ~odicdx gae~xdx se gdxxa tsc gsw}d 4> >>> csxaw c tsc obc lf{cxde d wc`sfi}c~xa~aw}d; as gae~xd d ~xai}a gae mcwgai}a mc 4># as m se wfido mc 3 >>> csxaw c ~d`d a xcw}a ce

    4> ecwcw wce ksxaw "ce ~xcw}dcw f`sdfw&) Wc d }drd mc ksxa xcoc|di}c lax mc >)3 # da ew/ tsdo mdw

    do}cxid}f|dw cwgaobc1

    7) ^d`de%wc 2 8>> csxaw ~dxd oftsfmdx msdw m|fmdw tsc cxde/ sed mc = >>> csxaw b 6 ecwcw/ cas}xd mc 8 >>> csxaw b 43 ecwcw) D tsc }drd mc ksxa }xfecw}xdo gaxxcw~aimc cw}d a~cxda/

    dmef}fima tsc d gd~f}dof{da wc lc{ ce xc`fec wfe~ocw1

    =) A Wx) Gflxcw d~ofgas 7 3>> csxaw msxdi}c 2 diaw ce xc`fec mc ksxaw gae~aw}aw)d& Mc}cxefic a gd~f}do dgsesodma da lfe mcwwc }ce~a/ gaiwfmcxdima ksxaw wcecw}xdfw c wdhcima

    tsc d }drd mc ksxa disdo mc 4>#)

    h& D~w cwwc ~cxama/ a gd~f}do dgsesodma wcx xccehaowdma ce ~xcw}dcw disdfw ia eai}di}cmc 4 402 csxaw) Dmef}fima tsc d }drd mc ksxa ia wc do}cxd gdogsoc a iecxa mc diaw msxdi}c

    aw tsdfw a Wx) Gflxcw xcgchcx cwwd fe~ax}igfd)

    3) "Ia}d; d xcw~aw}d gaiwfw}c ce |doaxc"w& d ah}cx ~ax wfesoda& D~ofgdxde%wc 7 3>> csxaw cegcx}flfgdmaw mc dlaxxa) Wdhcima tsc da lfe mc 0 }xfecw}xcw a gd~f}do edfw aw xcw~cg}f|aw ksxaw dwgcimfd

    d = 44< csxaw/ mc}cxefic d }drd mc ksxa disdo mcwwd d~ofgda)

    > csxaw fifgfdmaw ce }5481

    2) Ce 74 mc Mc{cehxa/ a Wx) Lxdigfwga gae~xas se cmflgfa ~ax 2> >>> csxaw) Coc ~d`as 8># cgaigaxmas ce ~d`dx a xcw}di}c ce 43 ~d`deci}aw f`sdfw disdfw/ aw tsdfw mc|ce figosfx a mfibcfxa

    ce m|fmd c dfimd ksxaw gae~aw}aw disdoeci}c }drd mc 4># wahxc a eai}di}c ce m|fmd "tsc |df

    mcgdfima ce gdmd dia&) Tsdo a |doax mcwwcw ~d`deci}aw1

    6) Tsdo a |doax dg}sdo mc sed disfmdmc mc 7>> csxaw tsc gaecd d wcx ~d`d ce }5< c tsc mcgaxxcmsxdi}c 4> diaw/ wdhcima tsc d }drd mc ksxa disdo d gaiwfmcxdx mc 43# ma dia 4 da dia 3 c 4>#

    iaw diaw wc`sfi}cw1

    4>) D Gae~dibfd ma Esima ~d`as bakc se mf|fmcima mc 3 csxaw) Wc d ce~xcwd dseci}dx amf|fmcima 0# }amaw aw diaw c d }drd mc mcwgai}a d~xa~xfdmd lax mc 44 #/ tsdo a ~xca mdw dgcw

    mcw}d Gae~dibfd1

    44) Laf%obc mdmd d a~ax}sifmdmc mc gae~xdx se }}soa ~ax 48 2>> csxaw) A }}soa ~d`d gae gcx}c{d 8

    >>> csxaw ia lfe mc gdmd se maw ~xrfeaw 4> diaw) Wc gae~xdx a }}soa/ tsc }drd mc ksxa xcgchc1

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    48) "ma }cw}c lfido mc 8>>>%8>>4& D Xcia|d odias/ b ~asga edfw mc se dia/ sed ia|d edxgd mcgawe}fgaw/ d Mawbd) ^dxd }do/ c mc~afw md ldwc mc mclfifa ma ~xams}a "tsc dtsf ia wcx mc}dobdmd

    edw tsc ~xagsxas/ id mclfifa mc se ~xams}a mc do}d tsdofmdmc/ xcsifx xclcxigfdw tsc mcwwce

    gxcmfhfofmdmc edxgd/ xamcdima%wc maw ecobaxcw cw~cgfdofw}dw/ gae gxmf}aw lfxedmaw ia wcg}ax/ mc

    laxed d tsc ia wshwfw}fwwce xcwcx|dw ia xcw~cf}di}c tsdofmdmc ma ~xams}a mcwciba md

    cehdod`ce/ }cw}cw odhaxd}axfdfw/ ~xamsa&/ }axias%wc icgcwwxfa ~xagcmcx d se fi|cw}feci}a id xcd

    md gaesifgda tsc }xdiwef}fwwc ~dxd a gaiwsefmax sed ia|d ofi`sd`ce mc hcoc{d/ dwwci}c ia

    gaigcf}a mc wcol%gdxfi` "f)c) gsfmdx mc wf& ~dxd dw esobcxcw tsc `aw}de mc wf gaea wa/ wce ecma ma

    ls}sxa/ gaea xclcxc a hswficww mfxcg}ax md Xcia|d ised ci}xc|fw}d xc|fw}d \fwa ce 4666) Cw}cfi|cw}feci}a laf mc 4 efoba mc csxaw "d~xarfedmdeci}c&) D Xcia|d fiw~fxas%wc ia ~awfgfaideci}a

    md Wbfwcfma ia ecxgdma kd~aiw/ tsc gaiw}f}sfs sed fe~ax}di}c xclcxcigfd id ia|d d~aw}d md

    ce~xcwd ia Kd~a/ d Wbfwcfmacw} ~xcwci}c iaw bf~cxecxgdmaw c idw ~cxlsedxfdw c gae hdw}di}c

    haiw xcwso}dmaw) D Xcia|d ~xagsxas xc~xams{fx cw}c eamcoa) Gae hdwc icw}d filaxeda/ xcw~aimd

    w wc`sfi}cw ~cx`si}dw;

    d& Gaiwfmcxc tsc a fi|cw}feci}a "F& ce gaesifgda lcf}a ~cod Xcia|d laf ~dxd odidx aw~xams}aw Mawbd ce `xdimcw ws~cxlgfcw) Cw~cxd%wc tsc cw}c fi|cw}feci}a ldd gxcwgcx aw

    xcwso}dmaw mdw |cimdw disdfw "\& d sed }drd mc 3# da dia ~dxd wce~xc/ d ~dx}fx ma lfe ma

    ~xfecfxa dia) Dwwsed tsc wc cw~cxd tsc d }drd mc ksxa disdo wc edi}cibd cw}|co da i|co

    mc 4>#) Ce tsdi}a cw}fed tsc }cibde tsc wcx aw xcwso}dmaw mdw |cimdw disdfw ia lfe ma

    ~xfecfxa dia/ |cimcima crgoswf|deci}c ce `xdimcw ws~cxlgfcw/ ~dxd tsc |dobd d ~cid ld{cxcw}c fi|cw}feci}a1 S}fof{c a xcwso}dma tsc cigai}xas id ~cx`si}d di}cxfax) Wc ia xcw~aimcs

    ~cx`si}d di}cxfax/ s}fof{c d lxesod tsc laf mdmd id dsod }cxfgd "wahxc ~cx~c}sfmdmcw gae

    gxcwgfeci}a gaiw}di}c&)

    h& Do}cxid}f|deci}c/ aw ~xams}aw Mawbd ~amcxfde }cx wfma odidmaw crgoswf|deci}c ce~cxlsedxfdw) Icwwc gdwa/ aw xcwso}dmaw mdw |cimdw gaecdxfde ~ax wcx mc 7> >>> csxaw ia

    lfe ma ~xfecfxa dia/ ce gai}xdw}c gae a edfax xcwso}dma mdw `xdimcw ws~cxlgfcw/ tsc

    `cxdxfde >>> csxaw) Ia ci}di}a/ gae a ecwea fi|cw}feci}a ce gaesifgda lcf}a ~cod

    Xcia|d/ d }drd mc gxcwgfeci}a mcwwcw xcwso}dmaw wcxfd mc 2#) Tsdo mdw msdw a~cw mc

    ldg}a edfw fi}cxcwwdi}c ~dxd d ce~xcwd1

    47) "ma crdec mc 4 ~agd 8>>>%8>>4& Gaea `cw}ax mc sed ~ctscid ce~xcwd ldhxfo tsc gaw}sed|cimcx gae ~d`deci}a d 7> mfdw/ |ag dgcf}d xcdof{dx sed fe~ax}di}c |cimd gae ~d`deci}a ce

    ~xcw}dcw) Wc a eai}di}c md |cimd lax mc 2>> efo csxaw c a ~d`deci}a lax xcdof{dma ce =>

    ~xcw}dcw eciwdfw/ mc tsdi}a mc|cx wcx d ~xcw}da eciwdo wc d }drd mc ksxa xcoc|di}c ~dxd d

    ce~xcwd lax mc 0# da dia1

    4=) "ma crdec mc 8 ~agd mc 8>>>%8>>4& Ised wxfc mc 43 disfmdmcw dw gfiga ~xfecfxdw wa mc8>> csxaw gdmd/ dw wc`sfi}cw wa mc =>> csxaw gdmd c dw gfiga o}fedw wa mc > csxaw gdmd)

    Wcima d }drd mc ksxa disdo mc 48#/ gdogsoc a wcs |doax dg}sdo c a |doax dgsesodma da lfe mc 43 diaw)

    43) "ma crdec mc Xcgsxwa 8>>>%8>>4& A Wx) Aof|cfxd/ maia mc sed ~ctscid ce~xcwd fimsw}xfdo/icgcwwf}dima mc dmtsfxfx sed |fd}sxd ~dxd d wsd ce~xcwd/ mcwoagas%wc da gaigcwwfaixfa md wsd

    edxgd ~xclcxfmd/ tsc disigfd|d gxmf}a d sed }drd eciwdo mc ecfa ~ai}a ~cxgci}sdo ~dxd tsce

    ~d`dwwc/ ia dg}a mc gae~xd/ ec}dmc ma ~xca md |fd}sxd) Fi}cxcwwas%wc ~coa eamcoa McOsr edw/tsdima disigfas da |cimcmax tsc ~xc}cimfd lfgdx d ~d`dx sed ~xcw}da eciwdo mc 4 >>> csxaw "ia

    erfea&/ laf filaxedma mc tsc/ gae cwwc eai}di}c eciwdo/ isigd gaiwc`sfxfd dgdhdx mc ~d`dx d

    |fd}sxd) Dwwfe/ laf laxdma d mfxf`fx a wcs fi}cxcwwc ~dxd a eamcoa Cgaiaefr/ edw gaigosfs tsc/ d 4

    >>> csxaw ~ax ew "edfw a ~d`deci}a fifgfdo&/ icgcwwf}dxfd mc 3 diaw ~dxd ~d`dx d |fd}sxd/ a tsc ia

    cw}d|d iaw wcsw ~odiaw) Dgdhas ~ax cwgaobcx a eamcoa Hdxd}sr/ tsc gsw}d 8> efo csxaw/ c dgaxmas

    ~d`%oa ce 8 diaw)

    d& Tsdo a |doax md }drd mc ksxa disdo "ctsf|doci}c& gahxdmd ~coa gaigcwwfaixfa1h& ^cxdi}c d filaxeda mdmd ~coa |cimcmax/ tsc wdhceaw dgcxgd ma gsw}a ma eamcoa McOsr1g& Tsdo a ~xca ma eamcoa Cgaiaefr1m& Tsdo d ~xcw}da eciwdo tsc a Wx) Aof|cfxd dgaxmas ~dxd d dtsfwfa ma eamcoa Hdxd}sr/ ~ax

    laxed d ~d`%oa ce 8 diaw "doe ma ~d`deci}a fifgfdo&1

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    4=# c tsc d ci}xdmd d ~d`dx wcx icgcwwdxfdeci}c mc 443)0= mc}cxefic

    "d~xarfedmdeci}c& a iecxa mc ~xcw}dcw eciwdfw mc 2>)>> icgcwwxfdw ~dxd ~d`dx a

    ctsf~deci}a)

    40) "ma crdec mc xcgsxwa 8>>8%8>>7& Se wfw}ced gae~oc}a mc gficed ce gdwd }ce a ~xca mc

    |cimd d ~xai}a mc 44 46>)>> Csxaw) Dmef}fima tsc d ci}xdmd fifgfdo mc 428)44 Csxaw/ gdogsoc a |doaxmc gdmd sed mdw 6< ~xcw}dcw eciwdfw "d gaecdx d wcx ~d`dw ia ew wc`sfi}c& d ~xd}fgdx ~ax se

    |cimcmax tsc/ da gaigcmcx gxmf}a/ mcwckc wcx xcesicxdma }drd "disdo& mc 3)# % ksxaw gae~aw}aw&1

    h& Dmef}d d`axd tsc a }}soa gaecdx d ~d`dx crdg}deci}c aw ecweaw |doaxcw "4 >>> csxaw ~ax

    dia& edw d~cidw da lfe mc 8 diaw) Tsdo a |doax dg}sdo ma }}soa ce gdswd1 Cr~oftsc dmflcxcid ah}fmd)

    g& Tsdo a |doax ma ~d`deci}a disdo mc se }}soa gae a ecwea |doax dg}sdo da xclcxfma id doicdd& edw gae a mahxa ma ~xd{a "f)c) sed ed}sxfmdmc mc 4> diaw&1

    m& Gaea do}cxdxfd d wsd xcw~aw}d wc wc }xd}dwwc mc sed ~cx~c}sfmdmc "gae a ecwea ~d`deci}adisdo d gaecdx d wcx xcgchfma se dia d~w d dtsfwfa&)

    46) "ma }cw}c fi}cxemfa 8>>8%8>>7& Id ~agd mc Id}do lxctsci}c aw hdigaw odidxce ~xams}aw mawc`sfi}c }f~a; Da clcg}sdx se mc~wf}a mc 4> >>> csxaw d 42 ecwcw/ a mc~awf}di}c xcgchcx

    fiw}di}dicdeci}c se ocf}ax mc M\M) A xclcxfma mc~wf}a xcimc se ksxa }xfecw}xdo otsfma mc 4# ia lfe

    ma ~xfecfxa }xfecw}xc/ ia bd|cima os`dx da ~d`deci}a mc tsdotscx as}xa ksxa d} da lfido maw 42

    ecwcw) ^dxd sed }drd mc ksxa disdo mc 8)=7# mc}cxefic a |doax eifea tsc a M\M mc|c }cx ~dxd tsc

    |dobd d ~cid ld{cx cw}c mc~wf}a)

    8>) "ma crdec mc 4 gbdedmd 8>>8%8>>7& Se gaibcgfma hdiga ~ax}s`sw ~cxef}c%obc dmtsfxfx secgx ~odwed ~diaxefga 4)>> csxaw "d ~xai}a ~d`deci}a&)

    Dmef}fima tsc }ce a mfibcfxa mfw~ai|co c tsc ~amc d~ofg%oa d sed }drd "disdo& mc 8)3# mc}cxefic

    tsdo d wsd ecobax a~a; ld{cx d dtsfwfa ia hdiga as id oakd md cw~cgfdofmdmc)

    84) Gaiwfmcxc d wc`sfi}c filaxeda xcod}f|d d se mc~wf}a d = diaw;

    Gai } d HCW ]A^Mcl fi fa; Mc~wf}a d ^xd{a gae d}xfhsfa mc ~xefaw mc ~cxediigfd wcecw}xdfw)]f }s od x fmdmc; Xcwfmci}cw)Eai}di}c Ei fe a mc Wshwgx fa ; 3>>)>> csxaw)^xd{a; = diaw "2 Wcecw}xcw& A ~xd{a erfea mc ~cxediigfd mc = diaw)Xcesicxda; 8)>># hxs}d)^d`deci}aw mc Ksxaw ; Wcecw}xdo/ wce gd~f}dof{da) Aw ksxaw wcxa gxcmf}dmaw wcecw}xdoeci}c id Gai}d Axmce)Xccehaowa ; Ia lfido ma ~xd{a/ d gai}d axmce wcx gxcmf}dmd ~coa gd~f}do c ksxaw ma o}fea wcecw}xc)^xefa mc ^cxediig fd ;Wcxa d}xfhsmaw ~xefaw mc ~cxediigfd ia lfido mc gdmd ~cxama "id xcia|da ma mc~wf}a&/ dgxcwgfmaw }drd mc ksxa~xd}fgdmd ~dxd cw}c ~xams}a c ce |f`ax ia eaeci}a md gai}xd}da)Aw |doaxcw maw ~xefaw mc ~cxediigfd wa aw wc`sfi}cw;% ^xefa mc >)8># ~ax ~cxama id 4 >#)

    Mc}cxefic d wsd }drd emfd disdo iaefido hxs}d)

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    88) "Crdec mc @cw}a Ce~xcwdxfdo mc 8>>3%8>> >>> csxaw mdtsf d 6 ecwcw)

    d& D ~xfecfxd a~a gaiwfw}c ce fe~oceci}dx se ~xd{a emfa mc xcgchfeci}a mc gofci}cw filcxfax da

    ~xd{a emfa mc ~d`deci}a d laxicgcmaxcw ~dxd/ wce s}fof{dx as}xaw xcgsxwaw lfidigcfxaw/ ~d`dx daw

    laxicgcmaxcw gae a eai}di}c xcgchfma maw gofci}cw mc~afw mc mc|fmdeci}c gd~f}dof{dma) Icw}d

    a~a/ d ce~xcwd xcgchcxfd 42> >>> csxaw ia lfido mc gdmd se maw }xw }xfecw}xcw wc`sfi}cw) Cw}cw

    eai}di}cw ~amce wcx gd~f}dof{dmaw "ce xc`fec mc ksxaw gae~aw}aw& }drd mc ksxa }xfecw}xdo mc 7 ~ax

    gci}a/ d tsdo |f`axd iaw ~xrfeaw 6 ecwcw)f& \cxflftsc wc/ gae cw}d a~a/ d ce~xcwd gaiwc`sc ld{cx ldgc da ~d`deci}a mc > >>>

    csxaw daw laxicgcmaxcw mdtsf d 6 ecwcw)

    ff& Tsdo }cxfd mc wcx d }drd mc ksxa }xfecw}xdo "ce xc`fec mc ksxaw gae~aw}aw& ~dxd/ gae cw}d

    a~a/ d ce~xcwd gaiwc`sfx dgsesodx aw > >>> csxaw d} da lfido ma iaia ew1

    h& D wc`simd a~a gaiwfw}c ce fe~oceci}dx d ~x}fgd mc xcgchcx maw gofci}cw wce~xc d ~xai}a

    ~d`deci}a c ia lfido mc gdmd ew) Ia ~xrfea ew agaxxcx a ~xfecfxa ~d`deci}a/ a tsdo gxcwgcx

    }drd eciwdo "gaiw}di}c& mc >)3 ~ax gci}a)

    f& Mc}cxefic a |doax ma ~xfecfxa ~d`deci}a mc eama d d}fi`fx aw > >>> csxaw ia lfido maw 6

    ecwcw)

    ff& C wc d ce~xcwd tsfwcx ~d`dx daw laxicgcmaxcw ia lfido ma af}d|a ew1

    87) "Crdec mc @cw}a Ce~xcwdxfdo mc Xcgsxwa 8>>3%8>> 4> csxaw/ gae figfa mdtsf d < ecwcw) Dwwsed tsc d }drd mc ksxa wcecw}xdo

    xcoc|di}c mc 4)8 ~ax gci}a msxdi}c }ama a ~cxama ce diofwc/ c tsc cw}deaw ~cxdi}c se xc`fec mc

    ksxaw gae~aw}aw)

    d& Mc tsdi}aw wcecw}xcw icgcwwf}dxfd d ce~xcwd ~dxd ld{cx d gahxdid ksi}a maw gofci}cw mc eama d

    tsc d wc`simd a~a xcimcwwc }di}a gaea d ~xfecfxd1

    h& Dwwsed d`axd tsc d ce~xcwd xcwao|cs gaiwfmcxdx as}xd a~a ~dxd clcg}sdx d gahxdid) Icw}d

    }cxgcfxd a~a fx ic`agfdx gae aw gofci}cw dw wc`sfi}cw gaimfcw; xcgchcx }xw ~xcw}dcw

    wcecw}xdfw gaiw}di}cw mc 7> >>> csxaw/ wcima d ~xfecfxd xcgchfmd mdtsf d }xw ecwcw) Tsdo a

    mcwgai}a/ m/ "f)c) "4%m& + 4>> >>>& fe~ogf}a tsc d ce~xcwd cw} mfw~aw}d d mdx daw gofci}cw ~dxd oc|dx d

    gdha cw}c ~odia1

    g& ^dxd d ce~xcwd/ tsdo d ecobax laxed mc gahxdx d m|fmd daw gofci}cw1 Ksw}flftsc)

    m& ^ax lfe/ wc d ce~xcwd mc ldg}axfi` gae~xdwwc mc ldg}a d m|fmd/ ~d`dima 6> 4> csxaw/ d fifgfdx%wc mdtsf d 3 diaw/ }cxfd ah}fma osgxa icw}c ic`gfa1

    8=) Crdec mc ~agd mc Xcgsxwa mc @cw}a Ce~xcwdxfdo 8>>2%8>>6& Gaiwfmcxc tsc sed ce~xcwd

    }ce msdw laxedw ~aww|cfw mc ~d`dx da wcs laxicgcmax d ecxgdmaxfd tsc dgdhd mc xcgchcx; id a~a4/ m sed ci}xdmd mc 3 >>> csxaw c ldx ~d`deci}aw eciwdfw ia figfa mc gdmd ew/ gae figfa

    fecmfd}a/ wcima a |doax mc gdmd eciwdofmdmc f`sdo 8 >>> csxaw iaw ~xrfeaw mc{af}a ecwcw: id

    a~a 8/ bd|cx < ~d`deci}aw }xfecw}xdfw/ gae figfa mdtsf d se ew/ c gska ~xfecfxa |doax mc 8>>

    csxaw/ gxcwgcima d ~dx}fx md }drd }xfecw}xdo mc 8> ~ax gci}a/ c se o}fea ~d`deci}a mc 83 >>>

    csxaw) D }drd mc ksxa }xfecw}xdo mc 8 ~ax gci}a msxdi}c aw ~xfecfxaw gfiga }xfecw}xcw "f)c) aw ~xrfeaw

    43 ecwcw&/ ~dwwdima ~dxd 7 ~ax gci}a ia xcw}di}c ~cxama) Tsdo d a~a eciaw mfw~cimfawd1

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    ^dx}c H Diofwc mc ^xakcg}aw

    4) "ma crdec 4 ~agd 8>>>%8>>4& A ~xakcg}a mc xcax`dif{da md ce~xcwd figosf d fmcfd mc sedeamcxif{da ma ~xagcwwa ~xams}f|a) ^xc}cimc%wc wshw}f}sfx sed etsfid gae }ce~a mc dxxditsc

    mfxfa mc 7> efis}aw c }ce~a mc ~xamsa sif}xfd mc 2 efis}aw ~ax as}xd/ edfw eamcxid tsc/ cehaxd

    gae dxxditsc mfxfa mc 4 baxd c ecfd/ ~xams{ d sed |coagfmdmc tsd}xa |c{cw ws~cxfax) Ws~aibd tsc

    d ia|d etsfid "gae 4> diaw mc |fmd }fo& gsw}d 3>> efo csxaw/ fe~ofgd d gai}xd}da mc ce~xc`dmaw

    tsdoflfgdmaw gae gsw}a mc 2> efo csxaw ~ax dia/ edw }xd{ se dseci}a mc xcgcf}dw hxs}dw mc 8>> efo

    csxaw) Wcx tsc |doc d ~cid gae~xdx cw}d etsfid/ wdhcima tsc d ce~xcwd ~d`d sed }drd mc ksxa

    disdo mc 0# da hdiga1 "S}fof{c d~cidw d filaxeda xcoc|di}c c d~xcwci}c }amaw aw wcsw gogsoaw&

    8) "ma crdec mc 8 gbdedmd 8>>8%8>>7& Se d`xfgso}ax ~aimcxd/ dg}sdoeci}c/ se ~xakcg}a mc~odi}da c cr~oaxda mse ~aedx ise wcs se }cxxcia) Cwwc }cxxcia ~amcx/ do}cxid}f|deci}c/ wcx

    dxxcimdma ~ax 4 >>> sifmdmcw eaic}xfdw "s)e)& da dia) ^odi}dx a ~aedx fe~ofgdx se fi|cw}feci}a

    fifgfdo mc 3> >>> s)e) c a gsw}a md wsd edis}cia disdo axdx aw = >>> "figosfima d d~dibd md

    lxs}d/ c}g)))&) D ~xamsa disdo ma ~aedx wcx |cimfmd d se ~xca dgaxmdma gae d gaa~cxd}f|d oagdo

    tsc mc 4>> s)e) ~ax }aicodmd ia lfido ma ~xfecfxa dia c tsc gxcwgcx }drd mc 3# da dia) D |fmd

    }fo ma ~aedx mc 3 diaw/ ia }cima tsdotscx |doax xcwfmsdo/ c d }drd mc ksxa xcoc|di}c ~dxd cw}cd`xfgso}ax mc 0#) Tsdi}dw }aicodmdw mc|cx ~xams{fx disdoeci}c cw}c ~aedx "dmef}d tsc d

    ~xamsa disdo gaiw}di}c& ~dxd tsc a d`xfgso}ax cw}ckd fi}cxcwwdma ce fe~oceci}dx cw}c ~xakcg}a

    ce |c{ mc dxxcimdx a }cxxcia1 "ahw; gae crgc~a ma fi|cw}feci}a fifgfdo gaiwfmcxc tsc }amaw aw

    xcw}di}cw |doaxcw wc xc~ax}de da lfido mc gdmd dia)&

    7) "ma crdec mc xcgsxwa 8>>8%8>>7& Sed ~cmxcfxd mcgfmfs fe~oceci}dx se ~xakcg}a tsc }cx sed|fmd }fo mc }xw diaw) Ia ~xfecfxa dia wcx icgcwwxfa ~xagcmcx cwgd|da mc se }cxxcia tsc d

    ce~xcwd ~awwsf) Gaiwctsci}ceci}c d ce~xcwd mcfrdx mc ~amcx dxxcimdx a }cxxcia a tsc obc

    ~cxef}fxfd ah}cx sed xcimd disdo mc 7>> s)e ~d`aw ia lfido mc gdmd dia) Ia wcx icgcwwxfa

    icibse fi|cw}feci}a fifgfdo edw d cwgd|da gsw}dx "d~cidw ia lfido ma ~xfecfxa dia& gcxgd mc 0>>

    s)e) Dw xcgcf}dw `cxdmdw ~coa ~xakcg}a wa d~cidw xcgchfmdw ia lfido ma 8 c 7 diaw c/ k otsfmdw mawgsw}aw mc cr~oaxda/ dwgcimce d 7 >>> s)e) disdfw) Ia lfido ma o}fea dia dw crf`igfdw dehfci}dfw

    crf`ce tsc a oagdo wckd xcloaxcw}dma/ a tsc fe~ofgd sed mcw~cwd dmfgfaido mc = 3>> s)e) "ia lfido ma

    }cxgcfxa dia& D }drd mc ksxa xcoc|di}c d tsc d ce~xcwd ~amc d~ofgdx a wcs gd~f}do mc 4># "disdo&)

    d& Gdogsoc d"w& ]FX"w& mcw}c ~xakcg}a)h& Gdogsoc a \DO mcw}c ~xakcg}ag& Tsdo d wsd xcgaecimda d cw}d ce~xcwd1

    =) "ma }cw}c fi}cxemfa 8>>8%8>>7& Sed ce~xcwd cw} d ~aimcxdx d ~awwfhfofmdmc mc d}xfhsfx sed|fd}sxd d se maw wcsw |cimcmaxcw) A fi|cw}feci}a icgcwwxfa mc 4> >>> csxaw wc`sfima%wc gsw}aw

    mc edis}cia/ wc`sxaw c gaehsw}|cfw mc 4 3>> csxaw ce gdmd se maw = diaw wc`sfi}cw) Ia lfido

    ma = dia d |fd}sxd }ce se |doax xcwfmsdo mc 3>> csxaw) Cw~cxd%wc tsc d s}fof{da md |fd}sxd oc|c d

    se dseci}a ma osgxa disdo `cxdma ~coa |cimcmax ce gdswd mc 8 >>> csxaw ~dxd 0 >>> csxaw)

    Wdhcima tsc a gsw}a mc a~ax}sifmdmc ma gd~f}do mc 8># "da dia&/ wcx tsc d ce~xcwd mc|c dmtsfxfx

    d |fd}sxd1 Ksw}flftsc)

  • 7/31/2019 Clculo Financeiro e Anlise de Projectos

    7/8

    3) "ma crdec mc 4 gbdedmd 8>>8%8>>7& Se ~xams}ax mc wal}pdxc mcgfmfs odidx ia iawwa ~dw se~xams}a mcwci|ao|fma ia cr}cxfax) ^dxd cwwc clcf}a dmtsfxfs aw mfxcf}aw crgoswf|aw mc gaecxgfdof{da

    ~ax 03> >>> s)e) ^asga mc~afw mc cw}c fxxc|cxw|co fi|cw}feci}a }cx }fma os`dx/ se ficw~cxdma

    dseci}a iaw gsw}aw mc cr~oaxda oc|as%a d xc|cx dw wsdw cw}fed}f|dw "}amaw aw |doaxcw ce sifmdmcw

    eaic}xfdw&;

    % fi|cw}feci}aw fifgfdfw ce ctsf~deci}aw mc d~afa |cimd ma ~xams}a; 4 8>> >>>

    % iecxa mc diaw mc |cimd ma ~xams}a d} wsd ahwaocwgigfd; 3 diaw

    % xcgcf}dw disdfw ~xa|cifci}cw md |cimd ma ~xams}a; 7>> >>> s)e)

    % gsw}aw disdfw xcwso}di}cw md |cimd ma ~xams}a; 4>> >>> s)e)% |doax xcwfmsdo maw ctsf~deci}aw dmtsfxfmaw; =3> >>> s)e)

    % }drd mc ksxa xcoc|di}c; 3#

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    tsc }c|c tsc xcgaxxcx ~dxd mdx d wsd xcw~aw}d)

  • 7/31/2019 Clculo Financeiro e Anlise de Projectos

    8/8

    2) "]cw}c mc @cw}a mc Ce~xcwdw mc 8>>0%8>>2& Ws~aibd tsc mc|c cwgaobcx ci}xc mafwctsf~deci}aw do}cxid}f|aw ~dxd sed sifmdmc ldhxfo) A ~xfecfxa/ ci|ao|c se fi|cw}feci}a fifgfdo

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    sed mcw}dw etsfidw1

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    a~}dxfd ~ax gae~xdx1

    Ksw}flftsc)

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    dseci}a mdw xcgcf}dw }xfecw}xdfw ia eai}di}c mc 33> s)e/ gae figfa d~cidw ia lfido ma ~xfecfxa dia)

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    mc 8 ~ax gci}a)

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    Disdo)

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    m& Se gxf}xfa do}cxid}f|a ~dxd gae~dxda mc ~xakc}aw a ]ce~a mc Xcgs~cxda ma Gd~f}do)

    Mclfid%a "edw ia ldd gai}dw$& c fimftsc msdw mcw|di}d`ciw mcw}c)