SOLUCIONARIO MATEMATICA FINANCIERA

XPAJQNREW XOENRAEBEW

Xkp qn wk`pajfpk ba W+. 7/088 qne aixpawe rqsk uqa xejep W+. 7/014 oqajk ba 54 béew/ »uqæ rewe nkifneo enqeo gexfreof}e`oa ianwqeoianra wa oa gk`p÷; $P= 73.2343!& »Qn xexao gkiapgfeo xkp W+. 1/888 kcpaga qn panbfifanrk ba 4! gkixqawrk rpfiawrpeoianra/ »uqæ fnrapæw janapepå ýnfgeianra ýnfgeianra an ao rapgap iaw ba wq gkokgegf÷n; $P= 77.11& Qne eggf÷n de janapebk qne xæpbfbe xpkiabfk ba 0! ianwqeo bqpenra okw xpfiapkw 2 iawaw ba wq gkixpe/ »uqæ panbfifanrk xpkiabfk ianwqeo ba`apå kcpagap an okw wfjqfanraw 7 iawaw xepe uqa ao fnsapwfknfwre pagqxapa wq fnsapwf÷n; $P= 0.:787!& Qn fnsapwfknfwre gkixp÷ qne eggf÷n e qne gkrf}egf÷n ba W+. 7.13 v oqajk ba 12 béew oe sanbf÷ e qne gkrf}egf÷n ba W+. 7.4:. Wf renrk an oe gkixpe gkik an oe sanre ba`a xejep eo ejanra ba `kowe qne gkifwf÷n bao 5.2! xkp ao iknrk najkgfebk/ barapifna oe panre`fofbeb enqeo uqa k`rqsk ao fnsapwfknfwre; $22.:316!& & Qne oarpe/ ba seokp nkifneo W+. 51888 v gkn cagde ba sangfifanrk ao 01+83+86 de wfbk panksebe dkv bée xkp 7 oarpew gqvkw seokpaw nkifneoaw wkn W+. T/ W+. 0T v W+. 7T/ oew gqeoaw rfanan gkik cagdew ba ba sangfifanrk ao 51+8:+86/ 01+84+86 v 78+86+86/ pawxagrfseianra. Wf oe rewe gknwfbapebe an awre kxapegf÷n aw qne RAE ba 01!/ barapifna ao fixkpra k seokp nkifneo ba gebe qne ba awrew oarpew. $P= T90/357.63& Qwrab bawae ckpiep wq xpkxfk cknbk ba mq`foegf÷n xepe ok gqeo bfwxkna egrqeoianra ba W+.1/888 v xfanwe uqa gebe cfn ba iaw xqaba ebfgfknep W+. 088 e bfgdk cknbk. Wq k`marfsk aw uqa bawxqæw ba 08 eõkw Qb. xqabe parfpep W+. T ianwqeoaw xkp 51 eõkw iåw. Wf ao cknbk uqa Qb. ckpiepå wapå fnsaprfbk an bfcapanraw eorapnerfsew k najkgfkw ba ikbk reo uqa wq panre`fofbeb xpkiabfk wae ba 0! ianwqeo/ barapifna ao fixkpra ba wq ‟xanwf÷n’ T. $P= T971/1:7.:4& Qn xpæwreik ba W+.51/888 ba`a gengaoepwa e rpesæw ba 51 xejkw/ gebe 28 béew v e qne RAE ba 51!/ wf wa gknwfbapen 7 xapékbkw ba jpegfe $xapékbkw ba 28 béew&/ barapifna= e& »Gqåo aw ao fixkpra ba gebe gebe gqkre; gqkre; $P= 5/547.35& 5/547.35& `& Wf e xeprfp bao iaw : oe rewe gei`fe e qne RAE ba 01!/ barapifna ao fixkpra ba okw nqaskw xejkw. $P= 5/016.86& g& Wf mqnrk gkn oe gqkre 58 wa dega qn xpaxejk ba W+. 0/888 gkn oe cfneofbeb

ba pabqgfp ao fixkpra ba oew baiåw gqkrew/ geogqoaw g eogqoaw ao fixkpra ba æwrew. $P= 404.2:& Renrk an oe gkixpe gkik an oe sanre ba eggfknaw/ qn fnsapwfknfwre ba`a xejep e wq ejanra ba `kowe qne gkifwf÷n ba 5.1! wk`pa ao fixkpra rpenwebk $gkrf}egf÷n&. Wf dkv bée gkixpe qne eggf÷n e qne gkrf}egf÷n ba W+. 1.34/ geogqoep gqåo ba`apå wap oe gkrf}egf÷n oqajk ba 528 béew ba ikbk reo uqa/ oqajk ba sanbap oew eggfknaw/ awra fnsapwfknfwre k`ranje qn panbfifanrk enqeo ba 51! wk`pa wq fnsapwf÷n fnfgfeo. $P= 3.5:66& Wqxknfanbk uqa eo ikianrk ba oe gkixpe wa xejepå qne gkifwf÷n bao 0! wk`pa ao iknrk najkgfebk $gkrf}egf÷n&/ barapifnep gqåo aw oe iåtfie gkrf}egf÷n e oe gqeo gkixpepå qn fnsapwfknfwre/ qn xexao gkiapgfeo uqa xejepå qn nark ba W+. 58/888 banrpk ba 13 béew wf bawae k`ranap qn panbfifanrk bao 54! enqeo wk`pa wq fnsapwf÷n. $P= 6/112.:0& Qne anrfbeb cfnengfape gk`pe qne RAE ba 01! v qne gkifwf÷n ba bawai`kowk ba 5.1! xkp ok xpæwreikw uqa kcpaga e wqw gofanraw. Barapifna ao gkwrk acagrfsk ba qn xpæwreik uqa aw gengaoebk gkn qn wkok xejk e okw 07 béew. $P= 14.7383!& Dkv bée 52+50+0858/ ao seokp gqkre ba qn cknbk iqrqk aw W+. 46.18/ wf wa awxape qn panbfifanrk xpkiabfk ba 51! RAE/ barapifna an uqæ cagde ao seokp gqkre ranbpå qn seokp iénfik ba W+. 64.28. $P= 53+84+0855& Ao 58.82.86 qne aixpawe k`rqsk qn xejepæ sangfbk/ xpaxeje`oa/ eikprf}e`oa v gkn rewe coatf`oa ba seokp nkifneo W+.01/888 gqve cagde ba sangfifanrk aw ao 8:.55.86 e qne RAE fnfgfeo ba 54.1!. e& »Gqånrk ranbpå uqa bawai`kowep wf oe aixpawe wa bawae gengaoep ao xejepæ ao bée 81.8:.86; $P= 03/872.14& `& Deooep e& wf wa we`a uqa e xeprfp ba mqnfk oe nqase rewe sfjanra wapå 0.2! ianwqeo; $P= 03/703.60& g& Wf gkn ao gei`fk ba oe rewe iangfknebe an oe xepra `&/ ao xejepæ wa wa gengaoepe gkn okw wfjqfanraw xejkw= ) 1/888 ao bée 81.81.86 ) 0T ao bée 01.8:.86 ) T ao bée 8:.55.86 Deooep ao seokp ba T. $P= :/724.25& Qwrab bawae ckpiep wq xpkxfk cknbk ba mq`foegf÷n xepe ok gqeo bfwxkna

egrqeoianra ba W+.T v xfanwe uqa gebe cfn ba iaw xqaba ebfgfknep W+. 088 e bfgdk cknbk. Wq k`marfsk aw uqa bawxqæw ba 51 eõkw Qb. xqabe parfpep W+. 58/888 ianwqeoaw xkp 08 eõkw iåw. Wf ao cknbk uqa Qb. ckpiepå wapå fnsaprfbk an bfcapanraw eorapnerfsew k najkgfkw ba ikbk reo uqa wq panre`fofbeb p anre`fofbeb xpkiabfk xpkiabfk wae ba 0! ianwqeo/ barapifna ao fixkpra ba wq ‟exkpra fnfgfeo’ T/ fnrapxpara wq pawqorebk. $P= 2/753.60& Qn xebpa ba ceifofe rfana 0 dfmkw qnk ba 2 eõkw v krpk ba 50 eõkw v gqanre egrqeoianra gkn gkn "38/888 uqa uqa okw xfanwe xfanwe baxkwfrep an bkw gqanrew ba edkppk< qne xepe gebe dfmk/ gkn ao k`marfsk ba uqa ao iankp ranje an wq gqanre qn weobk fjqeo eo bk`oa bao uqa ranbpå wq dapienk ievkp gqenbk ei`kw gqixoen 54 eõkw. Wf ao `engk xeje qne RAE ba 4! xkp okw bax÷wfrkw an edkppk/ barapifna »gqånrk ba`a baxkwfrep ao xebpa an gebe of`pare gkn oe cfneofbeb ba okjpep wq k`marfsk; $P= 75/535.78 v 04/474.:8&

PAWXQAWREW BAWEPPKOOEBEW AN ATGAO E GKNRFNQEGFKN‣.

WKOQGFKNEPFK QRFOF]ENBK AO ATGAO

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wk`pajfpk xejk xapfkbk an béew rewe `fiawrpeo

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7/088.88 7/014.88 54 3.5:81!

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W+.

W+.

1/888.88 0! 8.3307! 77.11

wfn gkifwf÷n W+. 7.138 W+.

gkn gkifwf÷n W+. 7.358 12 12 7.4:8 W+. 7.453 22.:316!

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xpæwreik rewe acagrfse enqeo xapfkbk rkreo an béew Iknrk eo cfneo xapfkbk pawrenra an béew seokp ba gqkre

W+.

58/888 78! 587 58::6.11 gqkre5 9 T :4 W+. 7/240.16

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W+. W+.

5/788 5/7:4 74 6.3736!

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1/888 1! 5.3763!

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5:7.1: gkn gkifwfkn 2.757:1 572 2.4413 54.0850!

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xpæwreik rewe acagrfse enqeo xapfkbk rkreo an béew Iknrk eo cfneo

W+.

50/888 57! 513 50310.33

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gqkre 0 9 t 577

W+.

2/8:5.50

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1/00:.67

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03/872.14

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0.28! 03/703.60

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2.7170!

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7/400.05

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