ࡱ> OQLMNjQ5@zbjbj22.XXIT-000 : J J J  PPPPQ _wRhUUUUUUUfvhvhvhvhvhvhv$xRgzpvJ UUUUUvUUwsnsnsnUh UJ UfvsnUfvsn<snn*qJ vqUR `.PYa Bqrl/w0_wJq,zYkzvq^ b FJzJ vqUUsnUUUUUvv  4@$7m<  @Glavini Anton, dr.sc. Gr~ini Jasmina, Doc.dr.sc. OBLIKOVANJE MATEMATI KOG MODELA ZA ANALIZU MEUOVISNOSTI IZMEU MAKROEKONOMSKIH VELI INA Sa~etak U ovom radu je prikazan kvantitativni pristup u analizi meuovisnosti izmeu makroekonomskih veli ina (bruto investicija i bruto domaeg proizvoda BDP-a). Sadaanji tijekovi u gospodarstvu odvijaju se u uvjetima globalizacije svjetskog tr~iata (airenja tr~iata) i utjecajima visoke tehnologije (telekomunikacijske i informacijske). Otvaranjem i airenjem tr~iata ekonomski odnosi postaju meuovisni, dinami ni i sve slo~eniji. Stoga je va~no ove odnose koji stalno variraju funkcionalno povezati i svesti u odreena racionalna (optimalna) rjeaenja. Za potpuno ostvarivanje ovih dosega rabe se matemati ke metode i modeli. Koristei se geometrijskim likovima izgraen je matemati ki model. Pri tom je konstruiran geometrijski lik krug polumjera r s postavljenim pravokutnim trokutima uz zadane katete i hipotenuzu. Ako se na postavljene pravokutne trokute primjene trigonometrijske funkcije i druga matemati ka pravila izvode se odreene matemati ke relacije. Ovim se matemati kim modelom iskazuju meuodnosi i veze izmeu makroekonomskih veli ina. Republike Hrvatske i Republike Slovenije. Postignuta rjeaenja osiguravaju trajnu ravnote~u i stabilnost ekonomskog sustava i pridonosi br~em druatvenom i gospodarskom razvitku. Klju ne rije i: Bruto investicije, Bruto domai proizvod, Tr~iate, Ekonomska stabilnost, Slovenija, Hrvatska. Uvod U sadaanje vrijeme se dugoro ni gospodarski razvitak ostvaruje uporabom telekomunikacijske i informacijske tehnologije. Osobito se njenom airom aplikacijom posti~e uspjeanija  djelotvornija strategija upravljanja. Stoga je danas visoka tehnologija vidno sve zna ajniji imbenik djelovanja kroz viae dimenzija (vremenski i aireg okru~enja) na gospodarski razvitak. Za potpuno sagledavanje skladnih meuodnosa u gospodarstvu valja razvijati  izgraivati djelotvorne metode i modele, a osobito one matemati ke. Ovim se matemati kim metodama i modelima prikazuje i kvantificira meuovisnost izmeu ekonomskih veli ina. Njihovom se primjenom osobito mogu potpuno analizirati sve slo~enije i dinami nije meuodnose makroekonomskih veli ina. Poradi toga od zna aja je funkcionalno povezati meuodnose i veze izmeu makroekonomskih veli ina koje stalno variraju a zahvaljujui br~em razvitku ra unalne tehnologije mogu se svesti u odreena racionalne (optimalna) rjeaenja. Takva rjeaenja poti u u gospodarstvu cirkulaciju racionalnih tokova prijeko potrebnih za uravnote~en i br~i ekonomski razvitak. U posljednje se vrijeme brojna i slo~ena istra~ivanja ekonomskih problema obavljaju pomou matemati kih metoda i modela. Koristei se geometrijskim likovima izveden je matemati ki model. Pri tome se konstruira geometrijski lik krug polumjera r s postavljenim pravokutnim trokutima uz zadane katete i hipotenuzu. Ako se na postavljene pravokutne trokute primjene trigonometrijske funkcije i druga matemati ka pravila dobivaju se odreene matemati ke relacije. Na taj je na in definiran  izveden matemati ki model. Ovim se matemati kim modelom iskazuju meuodnosi i veze izmeu makroekonomskih veli ina (bruto investicija i bruto domaeg proizvoda BDP-a) Republike Hrvatske i Republike Slovenije. Stoga se njihovim funkcionalnim povezivanjem doprinosi ravnote~i i br~em druatvenom i gospodarskom razvitku. Opi pristup izvoenju matemati kog modela Za rjeaavanje brojnih i raznovrsnih problema gospodarstva sve se viae u praksi bez obzira na kojoj razini, a prvenstveno u ekonomskim istra~ivanima koriste kvantitativne metode istra~ivanja, a posebno matemati ke metode i modeli. Njihovo oblikovanje i neposredna aplikacija zahtjeva razli ita i mnoga istra~ivanja i razmatranja. U tu svrhu se koriste razli ite grafi ke i matemati ke (analiti ke) metode i modeli. Radi toga se izvodi konstruiranje geometrijskog lika kruga polumjera r s postavljenim pravokutnim trokutima uz zadane katete i hipotenuzu. Postavljeni se pravokutni trokuti koriste za izvoenje odgovarajuih matemati kih relacija. Njime se tako uspostavljaju kvantitativni odnosi i veze izmeu odabranih makroekonomskih veli ina koji se prikazuju u sl. 1. Slika 1. Prikaz izvoda matemati kih relacija  Izvor: Izrada autora Meuodnose i veze izmeu makroekonomskih veli ina i bruto investicija i bruto domaeg proizvoda BDP-a odreuje se tetivama izmeu to aka ABC i visinom  EMBED Equation.3  pravokutnog trokuta ABC upisanog u kru~nicu polumjera r. Pri tome polumjer r obilje~ava prosje nu veli inu promjena bruto investicija (ulaganje u gospodarstvo). Duljina visine  EMBED Equation.3  obilje~ava prosje nu veli inu promjena bruto domaeg proizvoda BDP-a, a duljina du~ine  EMBED Equation.3  obilje~ava prosje nu veli inu promjena aktiviranih investicija u gospodarstvu. Pravokutni trokuti DCA i DBC u krugu polumjera r su sli ni jer se podudaraju u dva kuta. Do povezanosti izmeu odabranih makroekonomskih veli ina (bruto investicija i bruto domaeg proizvoda BDP-a) dolazi se primjenom trigonometrijskih funkcija i drugih matemati kih pravila. Kako je prema (sl. 1). (1)  EMBED Equation.3  onda je (2)  EMBED Equation.3  pa je (3)  EMBED Equation.3  Iz sli nosti trokuta DCA i DBC izlazi: (4)  EMBED Equation.3  Uvratavanjem u formulu dobiva se (5)  EMBED Equation.3  kako je (6)  EMBED Equation.3  pa je (7)  EMBED Equation.3  Ako se izjedna e formule (5) i (7) (8)  EMBED Equation.3  i rjeaavanjem se dobiva (9)  EMBED Equation.3  Tako je utvrena funkcionalna meuovisnost izmeu bruto investicija (ulaganja u gospodarstvo i bruto domaeg proizvoda BDP-a. 2. Prikaz kretanja bruto investicija i bruto domaeg proizvoda Republike Hrvatske u razdoblju od 2001. do 2006. godine Br~i gospodarski razvitak ovisi od stalnog ekonomski opravdanog investiranja. Stoga je va~no naglaaavati  isticati potrebu vee uspjeanosti ulaganja u gospodarstvo. Postizanje racionalnih gospodarskih efekata iziskuje poznavanje tehni ko-tehnoloakih i ekonomskih odnosa va~nih za ishod u inkovitog procesa investiranja. Za analizu slo~enih odnosa i veza izmeu veli ina u gospodarstvu se koriste suvremene matemati ke metode i modeli. Tako se slo~eni i meuovisni odnosi u ekonomiji esto puta teako mjerljivi iskazuju jednostavnim i preciznim broj anim izrazom. Sveukupne promjene u dinamici kretanja ulaganja u gospodarstvo i bruto domaeg proizvoda BDP-a prikazuju sljedei podaci. Tablica 1. Dinamika kretanja bruto investicija i bruto domaeg proizvoda BDP-a Republike Hrvatske u razdoblju od 2001. do 2006. godine u mil. kn Godina Bruto investicije Bruto domai proizvodDinamika kretanjaBruto investicije Indeksi 2001 = 100Bruto domai proizvod Indeksi 2001 = 1002001.39.383165.639100,0100,002002.48.446181.231123,01109,412003.62.492198.422158,68119,792004.67.024214.983170,18129,792005.71.724231.349182,12139,672006.82.152250.590208,60151,29Prosje ne veli ine promjena--1,15841,0863Izvor: Prilagodba autora prema podacima preuzetim iz DZS SLJH/2004., str. 226., DZS SLJH/2005., str. 229., DZS SLJH/2007, str. 217., i Mjese nog statisti kog prikaza Ministarstva financija Zagreb, svibanj 203., prosinac 2004., srpanj 2007. Za ovu analizu je koriaten aestomjese ni niz relevantnih makroekonomskih veli ina. Ispitivanje je obuhvatilo period od 2001. do 2006. godine. Za navedeni prikupljeni su komparativni podaci o veli ini bruto investicija i bruto domaeg proizvoda BDP-a. Ulaganja u gospodarstvo imaju posebno mjesto u okviru ostvarivanja ekonomskog razvitka (poveanje BDP-a). Podaci u tablici 1. pokazuju kretanje osnovnih makroekonomskih veli ina. Temeljem izlo~enih podataka uo eno je zna ajnije poveanje bruto investicija. Tako je ukupna visina ulaganja u gospodarstvo u razdoblju od 2001. do 2006. godine poveana za 2,1 puta a prosje na veli ina promjena iznosi 15,8%, dok je istodobno porast bruto domaeg proizvoda BDP-a 1,52 puta ili prosje na veli ina promjena iznosi 8,6%. Prema tome, prijeko je potrebno u sektoru investicija pokrenuti kvalitativne initelje u ostvarivanju njihove vee uspjeanosti (stru nost, tehnologija, skraivanje perioda pokretljivosti). Podaci prikazani u tablici 1. se koriste za kvantitativnu analizu makroekonomskih veli ina. 3. Kvantitativna analiza meuodnosa izmeu bruto investicija (ulaganja u gospodarstvo) i bruto domaeg proizvoda Republike Hrvatske u razdoblju od 2001. do 2006. godine U ovom poglavlju se analiziraju kvantitativni meuodnosi izmeu makroekonomski veli ina (bruto investicija i bruto domaeg proizvoda BDP-a) Republike Hrvatske pomou prikazanog matemati kog modela. Za potpunu provedbu ove analize od zna aja su prosje ne veli ine promjena prikazane u tablici 1. Njima se konstruira geometrijski lik krug polumjera r i dimenzije postavljenih pravokutnih trokuta uz zadane katete i hipotenuzu. Slika 2. Prikaz izvoda matemati kih relacija  Izvor: Izrada autora * Prikazane dimenzije (sl. 2) uveane su u odnosu na utvrene veli ine etiri puta radi bolje preglednosti u prikazivanju. Povezanost kao i promjene makroekonomskih veli ina odreuju se tetivama izmeu to aka A B i C koje su smjeatene na kru~nici polumjera r. Pri tome polumjer r obilje~ava prosje nu veli inu promjena bruto investicija. Duljina visine  EMBED Equation.3 hz|~  0 pz~HJ24N""""""D$l$$̼̼̤hhh5CJaJh5CJaJh1h15CJaJh_?h'hTh]hsu^hx:=hh1h5CJaJh1hLh1hL5CJaJhL5CJaJhj}hj}hj}5 hF5 hK52.fh   0 2 p#p#p#p#p#p#p#p#p#p#,p#O p#p#p#p#p#p#p#p#p# $dha$gdI$dh`a$gdI$dh`a$gdLdhgdLdhgdj} $dha$gdj}dhgdKvxJ""""""(())\)`)))"0$0R0p#p#p#$4p#E(p#p#p#p#p#p#q$p#p#p#p#p#9p#p#p#p#$hdh^ha$gd$ & Fdha$gd $dha$gdj}$dh`a$gd1$dh`a$gd]dhgdj}$$%%T&V&&&&'F''(() )\)^)`))*********+,+@+l+~++++.,<,J,L,r,t,v,x,z,rjh8{hzdEHUj(K hzdCJUVaJhHj h8{h8{EHUjK h8{CJUVaJ hEh8{jhEh8{Uh8{h1h?jhNUh1h15 hB&5hh\]h]hThjhb=@=N=P=h=== >,>h>t>t?h j h\]5 h\]5 h@GA5h j h@GA5h> >.><>>>000<kdҮ$$IflrT\ dl(# t0644 la$dh$Ifa$gdu>>J>X>h>v>>>000<kd$$IflrT\ dl(# t0644 la$dh$Ifa$gdu>>>>>>>000<kdB$$IflrT\ dl(# t0644 la$dh$Ifa$gdu>>>>???000<kd$$IflrT\ dl(# t0644 la$dh$Ifa$gdu?N?R?V?d?r?t?{ 000<kd$$IflrT\ dl(# t0644 la$dh$Ifa$gdut?RATAVAtAAZB\BBBBB"DPEIIIIIIIIIJJJJJJKfLhLMM,N.N0N8NBNHNdNNNNƺʞxs hN5 hNh7ehB&hB&5hB&h9`5 hB&5 hH5 hjl5hx:=hQdh;-5CJaJhQdhQd5CJaJhQdhq5CJaJhh;-h\]h'hQdh@GAh1hh\]CJaJh@GACJaJh@GAh@GACJaJ+t?TAVA"DIIIJJ.N0N2N4N6N8NNNNNNOp# p#Bp#"p# p#p#p# p#p#p#p#p#p#p#p#p#9p#p#p#$dh`a$gdN$dh`a$gd $dha$gdj}$dh`a$gd@GA$dh`a$gd1 $dha$gdNNNN6O^OOOQ@QQQQQQQ "46<>@fhjlŶ̧ۜۜۘߔ뉂sfbhpjh=h=EHUjK h=CJUVaJ hEh7ejhEh7eUhQdh_hzdhjlCJaJUj|h8{hjlEHUj(K hjlCJUVaJ hEhjljhEhjlUhHhjlh9`hi,h'lh7eh_hN5jjhNU$OO "24npr"$<>x|‹ċp#p#p#p#p#Ďp#p#p#p#p# p#p#p#p#0p#p#p#p#p#gdWX $dha$gd7egd7e$dh`a$gd_$dh`a$gdjl $dha$gdj} obilje~ava prosje nu veli inu promjene bruto domaeg proizvoda BDP-a, a duljina du~ine DB obilje~ava prosje nu veli inu promjena aktiviranih investicija u gospodarstvu. Postavljeni pravokutni trokuti DCA i DBC u krugu polumjera r, su sli ni jer se podudaraju u dva kuta. Do povezanosti izmeu bruto domaeg proizvoda i bruto investicija dolazi se primjenom trigonometrijskih funkcija i drugih matemati kih pravila. Tako na temelju prikazanih i izra unatih veli ina (tablica 2.) i formule (9) slijedi izra unan vrijednosti y. Kako je (10)  EMBED Equation.3  uz uvjete prikazane u tablici 1. i slike 2. rjeaavanjem (10.1)  EMBED Equation.3  rjeaavanjem (11)  EMBED Equation.3  dobiva se  EMBED Equation.3  Prosje na veli ina promjene bruto domaeg proizvoda BDP-a u navedenom razdoblju je 8,6%. Dajui nezavisnim varijablama (bruto investicijama) odreene vrijednosti odreuje se vrijednost domaeg proizvoda BDP-a. 4. Utvrivanje grani nih odnosa izmeu odabranih makroekonomskih veli ina gospodarstva Republike Hrvatske Za ispitivanja i mjerenja promjena odnosa i veza izmeu makroekonomskih veli ina potrebno je poznavati odreene matemati ke relacije. Tako se za mjerenje promjene odnosa izmeu bruto domaeg proizvoda BDP-a i bruto investicija koristi funkcionalni oblik relacije. Utvrivanje spomenutih promjena bruto domaeg proizvoda BDP-a i bruto investicija svodi se na ispitivanje grani nog (marginalnog) bruto domaeg proizvoda BDP-a. Kako je (12)  EMBED Equation.3  onda je grani ni bruto domai proizvod BDP u odnosu na bruto investicije (13)  EMBED Equation.3  ili (14)  EMBED Equation.3  sreivanjem postaje (15)  EMBED Equation.3  Uvratavanjem vrijednosti i rjeaavanjem (16)  EMBED Equation.3  dobiva se  EMBED Equation.3  Kada se bruto investicije poveaju za jedinicu bruto se domai proizvod BDP poveava za 0.938 jedinica. 5. Prikaz kretanja bruto investicija i bruto domaeg proizvoda BDP-a Republike Slovenije u razdoblju od 2001. do 2006. godine U nastavku se daje statisti ki prikaz kretanja bruto domaeg proizvoda BDP-a i bruto investicija (ulaganja u gospodarstvo) Republike Slovenije. Ovi se podaci prikazuju radi usporeivanja s ostvarenjima Republike Hrvatske. Tablica 2. Dinamika kretanja bruto investicija i bruto domaeg proizvoda BDP-a Republike Slovenije u razdoblju od 2001. do 2006. godine Godina Bruto investicije Bruto domai proizvodDinamika kretanjaBruto investicije Indeksi 2001 = 100Bruto domai proizvod Indeksi 2001 = 1002001.1.220.0734.887.747100,00100,002002.1.314.6535.453.787107,75111,582003.1.510.4985.922.917123,80121,182004.1.770.1426.392.985145,08130,802005.1.846.3566.768.266151,33138,472006.2.068.9817.296.627169,57149,28Prosje ne veli ine promjena--1,11141,0834Izvor: Autorova prilagodba podataka preuzetih iz Statisti ne informacije a.t. 61/2007. U tablici 2. su prikazana kretanja BDP-a i bruto investicija (ulaganja u gospodarstvo) u razdoblju od 2001. do 2006. godine. Pri tome su ulaganja u gospodarstvo u navedenom razdoblju porasla za 1,7 puta, a prosje na veli ina promjena iznosi 11,14%. Za isto je razdoblje BDP porastao za 1,49 puta ili prosje na veli ina promjene je 8,34%. Stoga je ove meuodnose izmeu makroekonomskih veli ina potrebno analizirati pomou matemati kog modela. Tako se podaci prikazani u tablici 2. koriste za izgradnju jednog takvog analiti kog modela. 6. Kvantitativna analiza odnosa i veza izmeu bruto domaeg proizvoda i bruto investicija Republike Slovenije u razdoblju od 2001. do 2006. godine Osnovno obilje~je suvremenog gospodarstva je prisutnost slo~enih odnosa u okviru kojih su uzajamna djelovanja isprepletena i meuovisna. Stoga je njihovu dinamiku kretanja veoma teako predvidjeti bez primjene matemati kih metoda i modela. U okviru istog u ovom poglavlju se analiziraju kvantitativni meuodnosi makroekonomskih veli ina pomou prikazanog modela. Slika 3. Grafi ki prikaz izvoda matemati kih relacija  Izvor: Rad autora * Prikazane dimenzije (sl.3) uveane su u odnosu na utvrene veli ine za etiri puta radi bolje preglednosti u prikazivanju. Povezanost kao i promjene makroekonomskih veli ina odreuju se tetivama izmeu to aka A B i C koje su smjeatene na kru~nici polumjera r. Pri tome polumjer r obilje~ava prosje nu veli inu promjera bruto investicija. Duljina visine  EMBED Equation.3  obilje~ava prosje nu veli inu promjene bruto domaeg proizvoda BDP-a, a duljina du~ine  EMBED Equation.3  obilje~ava prosje nu veli inu promjena aktiviranih investicija u gospodarstvu. Postavljeni pravokutni trokuti DCA i DBC u krugu polumjera r, su sli ni jer se podudaraju u dva kuta.. Do povezanosti izmeu bruto domaeg proizvoda i bruto investicija dolazi se primjenom trigonometrijskih funkcija i drugih matemati kih pravila. Tako na temelju prikazanih i izra unatih veli ina (tablica 2.) i formule (9) slijedi izra unan vrijednosti y. Kako je (17)  EMBED Equation.3  uz uvjete prikazane u tablici 2. i slika 3.uvratavanjem (17.1)  EMBED Equation.3  i rjeaavanjem (18)  EMBED Equation.3  dobiva se  EMBED Equation.3  Prosje na veli ina promjene BDP-a jest 8,34% . Dajui nezavisnim varijablama (bruto investicijama) odreene vrijednosti odreuje se vrijednost (zavisne varijable) bruto domaeg proizvoda BDP-a. 7. Utvrivanje grani nih odnosa izmeu odabranih makroekonomskih veli ina gospodarstva Republike Slovenije Utvrivanje grani nih veli ina predstavlja va~an odnos u ekonomskoj analizi. Zbog toga zna enja kvantificira se odnos izmeu odabranih i makro ekonomskih veli ina (bruto investicija) i bruto domaeg proizvoda BDP-a. Grani ni bruto domai proizvod u odnosu na bruto investicije jest kako je (21)  EMBED Equation.3  onda je grani ni bruto domai proizvod BDP u odnosu na ulaganja u gospodarstvo 22)  EMBED Equation.3  sreivanjem postoje 23)  EMBED Equation.3  uvratavanjem vrijednosti i rjeaavanjem dobiva se 24)  EMBED Equation.3  dobiva se  EMBED Equation.3  Kada se bruto investicije (ulaganje u gospodarstvo) poveaju za jedinicu bruto se domai proizvod povea 0.975 jedinica. U navedenim razmatranjima prikazani su samo odreeni odnosi izmeu odabranih makroekonomskih veli ina. Stoga analiza njihovih odnosa mo~e korisno poslu~iti kod donoaenja investijskih odluka. Zaklju ak Sveukupna i intenzivna uporaba visoke (ra unalne i telekomunikacijske) tehnologije dovodi do ubrzanog druatvenog i gospodarskog razvitka. Nadalje se opi ekonomski razvitak ostvaruje preko druatvenih i gospodarskih institucija koje pokreu - usmjeravaju novu tehnologiju prema veoj proizvodnosti. Pri tome se vea spoznaja utjecaja istih na gospodarski razvitak ostvaruje izgradnjom suvremenih matemati kih metoda i modela. Ovim se matemati kim modelom uspostavljaju slo~eni meuodnosi i veze izmeu makroekonomskih veli ina opisanih u tekstu. Pri tome je njegovo vee zna enje u analizi strukturnih i dinami nih kretanja i odnosa. Nadalje, njime se posebno omoguava uspostavljanje ravnote~e (dimenzioniranje racionalnih meuodnosa). Radi toga je u ovom radu izgraen, razvijen jedan ekonomsko matemati ki model. Ovim se matemati kim modelom analiziraju meuodnosi i veze izmeu bruto domaeg proizvoda BDP-a i bruto investicija Republike Hrvatske i Republike Slovenije. Primjenom opisanog modela kvantificirane su tehnoloake kapitalne veli ine u kontinuelnom slu aju. Nadalje, ovim se modelom utvruju grani ni odnosi izmeu odabranih makroekonomskih veli ina. Tako je prikazan izra un grani nih odnosa za gospodarstvo Republike Hrvatske. Pri tome je takoer prikazan izra un grani nih odnosa za gospodarstvo Republike Slovenije. Izra unata grani na veli ina BDP-a u odnosu na jedinicu bruto investicija u gospodarstvu Republike Hrvatske iznosi 0.938 jedinica, isti takav odnos u gospodarstvu Republike Slovenije je 0.975 jedinica. Skladnim dimenzioniranjem ovih odnosa se osigurava kvalitativna i kvantitativna ravnote~a i br~i druatveni gospodarski razvitak. Literatura Babi, M. (1988), Makroekonomski modeli, Narodne novine, Zagreb. Blanchard, O., (2005), Makroekonomija, tree izdanje, Mate, Zagreb. Bodie, Z., et al (2006), Po ela ulaganja, etvrto izdanje, Mate, Zagreb. Brightman, H. (1992), Statistics for business problem solving, South-Western Publishing Co., Cincinnati, Ohio. Kmenta, J., (1997), Ekonometrija, Drugo izdanje, Mate, Zagreb. Kurepa, S., (1970), Matemati ka analiza, Prvi dio, Tehni ka knjiga, Zagreb. Mjese ni statisti ki prikaz, Ministarstvo financija, Zagreb. Palman, D., (1995), Geometrijske konstrukcije, Element, Zagreb. Peterson, P.P. (2006), Financial management and analysis, McGraw-Hill, Inc. Statisti ki ljetopis Republike Hrvatske, 2004, 2005, 2007. Statisti ne informacije Republike Slovenije a.t. 61/2007. `oai, I. Primijenjena stastistika (2006), `kolska knjiga, Zagreb. Van Horne, J.C. (1993), Financijsko upravljanje i politika (financijski mened~ment), deveto izdanje. Vojni, D., (1970), Investicije i ekonomski razvoj, Ekonomski institut, Zagreb. Weston, J.F. etl al. (2001) Takeovers, restructuring & corporate governance, third edition, Prentice Hall, Upper Saddle River, NJ 07458 Cf. M. Babi, M. 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