Matematica Financiera Semana2 IACC

 

G@TMG@TEJ@ IEL@LJEM_@ ZMG@L@ ? U`sgel Fmetb [uðec` 09/>4/?>?? Jalt`oehed`d Cmlmr`h

 

DMZ@__AHHA ]stmd tr`o`k` jaga `smsar il`ljemra p`r` h` mgprms` IERTM, ml su j`hed`d dm `smsar dmom aremlt`r ` ul lumva jhemltm qum quemrm elvmrr ul egpart`ltm j`pet`h, aotmleda cr`je`s ` ul` bmrmlje` rmjeoed`. Ml mstm smlda, ustmd jagemlz` par dmsjreoer mh eltmrås segphm m eltmrås jagpumsta, kulta jal mxphej`rhm ml dmt`hhm h`s úrguh`s y gåtadas p`r` mh jàhjuha dm åstas. Mh jhemltm sm gumstr` eltmrms`da y hm jalsuht` par mh eltmrås qum padrç` aotmlmr `h elvmrr has $3>.>>>.>>> dm j`pet`h ml ul mgpa dm 0 `ða, 9 gmsms y 0= dç`s ` ul` t`s` dm eltmrås `lu`h dm ul 09%, ul` vmz j`hjuh`da mh eltmrås dmom eldej`rhm mh galta dmh j`pet`h il`h. Iel`hgmltm, y rmspmjta dmh gesga j`pet`h, ms dmjer, has $3>.>>>.>>>, eldequm mh galta aotmleda ` ul eltmrås jagpumsta dmh 0:% `lu`h ml 4 `ðas.

Eltmrås Zegphm; Ms mh juàh sm p`c` `h il`h dm j`d` pmrçada, mh j`pet`h prmst`da a elvmrda la v`rç` par ha qum mh eltmrås semgprm smrà mh gesga `dmgàs dm qum has eltmrmsms la sm j`pet`hez`l par ha qum sm pemrdm mh padmr `dqueseva jal mh tr`lsjurrer dmh mgpa. m gpa. Mh v`har `juguh`da la smrà rmprmsmlt`va dmh j`pet`h eleje`h. Mh eltmrås par ul` dmud` a ` jaor`r par ul` elvmrseúl dmpmldmrà dm h` j`ld`d dm pråst`ga a elvmrseúl `dmgàs dm h` dur`jeúl dm mstm. Mh eltmrås segphm v`rç` ml arg` praparjeal`h `h j`pet`h ( J ) y `h mgpa (t) gmde`ltm mh secuemltm jàhjuha;

Jalajemlda : dm mstas mhmgmltas ( E, J, e a t) padrmgas jalajmr mh ju`rta mhmgmlta eljúcleta rmmgph`z`lda has mhmgmltas jalajedas y `esh`lda ` ul h`da dm h` apmr`jeúl m mhh mhmgmlta eljacleta.

Dmltra dm has pas dm eltmrmsms segphms sm jalajml has secuemltms;

Ardel`rea; ju`lda p`r` su jàhjuha sm uhez`l :9> dç`s dmh `ða.

Mx`jta; Ju`lda p`r` su jàhjuha sm mgphm`l :9= a :99 dç`s dmpmldemlda dmh j`hmld`rea.

 

Ardel`rea jal mgpa mx`jta; @ða dm :9> dç`s jal dç`s dmh gms smcûl j`hmld`rea. Zm jalajm j alajm jaga Eltmrås o`lj`rea. Ms mh gàs jastasa m us`da.

Ardel`rea jal mgpa `praxeg`da; @ða dm :9 dç`s y :> dç`s `h gms. Jalajeda jaga Eltmrås jagmrje`h semlda us`da rmjumltmgmltm y` qum `jehet` has jàhjuhas jàhjuhas g`lu`hms `yud`ld `yud`lda a ` b`jmr segpheij`jealms.

Mx`jta jal mgpa mx`jta; Zm uhez`l :9= a :99 dç`s dmh `ða y j`ld`d dm dç`s par gms dmpmldemlda dmh j`hmld`rea. Mh eltmrås ms r`jeal`h, mx`jta a rm`h y` qum oreld` ul rmsuht`da mx`jta semlda guy ûh ml j`pet`hms dm cr`l v`har.

Mx`jta jal mgpa `praxeg`da; Zm uhez`l :9= a :99 dç`s smcûl j`hmld`rea y :> dç`s `h gms. La ms jagûlgmltm uhez`da.

 

Eltmrås Jagpumsta; Mh j`pet`h dmh eltmrås jagpumsta j`goe` `h il`h dm j`d` pmreada y` qum has eltmrmsms sm `dejeal`l `h j`pet`h p`r` arg`r ula lumva hh`g`da galta y saorm mstm vahvmr ` j`hjuh`r eltmrmsms, ms dmjer, j`pet`hez`r has eltmrmsms. H` sug` tat`h dm j`pet`h m eltmrmsms ms jalajeda j alajeda jaga galta jagpumsta a v`har utura gemltr`s qum h` demrmlje` mltrm galta jagpumsta y j`pet`h arecel`h sm dmilm jaga eltmrås jagpumsta y p`r` su jàhjuha sm pumdm us`r ecu`hd`d dmh eltmrås segphm. Mstm eltmrås ms gàs mxeohm y rm`h, v`har` pmreada ` pmreada mh delmra jagpragmda ml h` apmr`jeúl il`ljemr` semlda guy egpart`ltm s`omr uoej`r mh delmra ml mh mgpa prmjesa. Zm pumdm dmtmrgel`r ha secuemltm gmde`ltm mst`s úrguh`s;

Mh mgpa sm gedm par pmreadas dm j`pet`hez`jeúl (qum dmtmrgel` mh lûgmra dm vmjms qum has eltmrmsms sm su`l `h j`pet`h) `ltm ha ju`h sm rmmgph`z` mh mgpa (t) par pmrçada dm j`pet`hez`jeúl (l) y qum kulta ` e sm dmoml g`lk`r o`ka h` gesg` uled`d dm mgpa. ^`r` j`hjuh`r mh eltmrås jagpumsta las cue`gas par h` secuemltm úrguh`;

 

Jarrmspaldemltm `h eltmrås qum padrç` aotmlmr `h elvmrr has $3>.>>>.>>> dm j`pet`h ml ul mgpa dm 0 `ða, 9 gmsms y 0= de`s ` ul` t`s` dm eltmrås `lu`h dm ul 09% padmgas d`rhm h` secuemltm elarg`jeúl `h jhemltm;

e7 09% ú >.09 (09/0>>) l7 0 `ða x:9> dç`s 7 :9> dç`s

J7 3>.>>>.>>> 9 gmsms gmsms x: x:> > dç`s7 02> dç`s 0= dç`s7 dç`s7 0= 0= dç`s

Tat`h dç`s7 === dç`s

t7 ===/:9> E7JÓeÓt E73>.>>>.>>>Ó>.09Ó(===/:9>) E700.?>>.>>>Ó(===/:9>) E703.?99.993 Ji7J+E JI73>.>>>.>>>+03.?99.993 JI723.?99.993

Ha qum las eldej` qum mh j`pet`h iel`h qum sm aotmldrà a otmldrà smrà $23.?99.993 dmschas`da ml j`pet`h eleje`h + eltmrmsms. Iel`hgmltm, y rmspmjta dmh gesga j`pet`h, ms dmjer, has $3>.>>>.>>> qum sm quemrml elvmrter, jal ul eltmrås jagpumsta dmh 0:% `lu`h ml 4 `ðas padmgas d`r h` secuemltm eliarg`jeúl; e7 0:% `lu`h ú >.0: l7 4 `ðas E7JV(0+e)\l E7JV(0+e )\l - 0W E73>>>>>>>V(0+>.0:)\4-0W E73>>>>>>>(>.9:>43:90) E7440::0=?,3 E73>>>>>>>+440::0=?,3

J7 3>.>>>.>>>

E70040::0=?,3

Ha qum las eldej` qum mh j`pet`h iel`h qum sm aotmldrç` a otmldrç` jal ul eltmrås dmh 0:% `lu`h ml 4 `ðas smrà dm $004.0::.0=?,3 dmschas`da ml j`pet`h eleje`h + eltmrmsms.

 

_MIM_MLJE@Z OEOHEAC_ÀIEJ@Z E@JJ. (?>??). Eltmrås segphm m eltmrås jagpumsta. G`tmgàj` jagpumsta. G`tmgàj` il`ljemr`. Zmg`l` ?