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Types of bank loans and their impact on economic development: a case study of the Czech republic

Černohorský, Jan

Abstract

This article aims to evaluate the impact of the development of different types of loans in the banking sector on economic development. We will begin with the hypothesis that economic performance increases with the growth of the rate of various types of loans. We will first look at research of current scientific knowledge in respect to bank loans and economic development. The basic idea of this article is the hypothesis described above, determined on the basis of standard economic findings and based on the results of a majority of related studies. The development of loans provided can be quantified based on data from the Czech National Bank as total loans and divided into loans to non-financial companies and households, as well as mortgage loans and consumer loans. The development of the economy can also be quantified using data from the Czech Statistical Office on the development of the gross domestic product. The period selected is the years 2004-2015. To determine the relationships between selected variables, we have used statistical methods that respect the specific characteristics of the selected time series, namely the Engle-Granger causality test. Prior to testing, it was necessary to adjust the data as stationary and then test cointegration. An optimum order delay was also determined using the Akaike information criterion. The calculated results, except for consumer loans, confirm the hypothesis regarding the positive impact of the rate of loans provided on economic growth, particularly with a six-month time lag. We have obtained results that correspond to standard economic knowledge and results of most previous studies.

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34 2017, XX, 4 Ekonomie DOI: 10.15240/ ul/001/2017-4-003 In oduc ion In his a icle, we discuss he ela ionship o banks, o loans p o ided by hem, and economic de elopmen . We decided o in es iga e his ela ionship as banks in oday’s economies play a signi i can ole as a i al ins i u ion in he i nancial ma ke s, whe e he e is a dis ibu ion o mone a y unds om su plus en i ies o de i ci en i ies. A necessa y p econdi ion o a unc ioning economy, in i s p esen mos ly mixed o m, is a unc ioning and s able banking sys em. Cu en ly, unco e ed money is o a g ea ex en he money gene a ed by p i a e banks, mainly in he o m o loans. In hese u bulen imes, when economies a e g owing and declining a as e in e als han we e cus oma y in p e ious decades, his is e y much a con empo a y issue. I is due o he ac ha he a e o g ow h/decline in lending, due o he impo ance and size o he i nancial ma ke s and he o m o he unco e ed money issued, signi i can ly in l uences he economic cycle. As epo ed by Če noho ský (2015), banks p o ide loans o businesses and households o hei consump ion and in es men and hus suppo he economy. Wha is impo an is he du a ion o a loan, as pa icula ly long- e m in es men s con ibu e o long- e m economic g ow h. Fo his eason, we decided o examine he impac o o al loans, as well as di iding hem in o loans o non- i nancial businesses, loans o households, mo gage loans and consume loans. The impo ance o c edi access o banks is also compounded by he i nancial and economic c isis which mos o he de eloped coun ies expe ienced in ecen yea s. The consequence o his c isis oday is an abno mal si ua ion on he i nancial ma ke s, which is e l ec ed in nega i e in e es a es, o eign exchange in e en ion and quan i a i e easing by cen al banks. They a e ying o use hese uncon en ional mone a y policies o es o e he impai ed c edi channel o he mone a y policy ansmission mechanism. The main idea o his a icle is exp essed by he hypo hesis ha he de elopmen o a ious ypes o bank lending has a posi i e e ec on economic de elopmen . We will examine he alidi y o his hypo hesis using selec ed s a is ical and ma hema ical me hods as p esen ed below. The aim o his a icle is o assess he impac o he de elopmen o di e en ypes o loans in he banking sec o on economic de elopmen , based on he example o he Czech Republic. In achie ing his se goal, we shall begin wi h he hypo hesis ha economic pe o mance inc eases wi h he g ow h o he a e o a ious ypes o loans. 1. Theo e ical Backg ound In he pas , he ela ionship o he i nancial sys em and economic g ow h was examined by a numbe o enowned economis s. Schumpe e (1912) emphasised he s ong in l uence o banks on economic g ow h by encou aging inno a ion. P o iding loans o hese inno a ions and in es men s leads o he g ow h o business ope a ions and hus o economic g ow h. In con as , Lucas (1988), in mo e mode n imes, e e s o an excessi e in l uence o banks on he economy in a nega i e sense. Robinson (1952) conside s ha banks ha e a passi e impac on economic de elopmen . As can be seen, e en in he pas hese dis inguished economis s held di e en iews on he impac o he banking sec o on economic de elopmen . I is s ill he same oday, as e idenced by subsequen esea ch. Ou pape is based on he ansmission mechanism o mone a y policy as i is unde s ood bo h in economic heo y and applied in p ac ice in he en o cemen o mone a y policy by cen al banks. In pa icula , TYPES OF BANK LOANS AND THEIR IMPACT ON ECONOMIC DEVELOPMENT: A CASE STUDY OF THE CZECH REPUBLIC Jan Če noho ský EM_4_2017.indd 34EM_4_2017.indd 34 13.12.2017 12:53:2813.12.2017 12:53:28 35 4, XX, 2017 Economics we ollow he logic o he c edi channel o he mone a y policy ansmission mechanism. This is based on he change in he in e es a es se by he cen al bank, which a ec in e bank in e es a es and in he end also he ma ke in e es a es o e ed o clien s. I we conside declining in e es a es, his esul s in a highe demand o loans om banks by companies and households. These loans a e used o co po a e in es men and household consump ion (o om a mac oeconomic poin o iew also o in es men s h ough he pu chase o eal es a e). A he same ime, he amoun o money in ci cula ion is g owing. The inc ease in consump ion and in es men hus con ibu es o he g ow h o he economy. In he case o inc easing in e es a es, he change in he gi en a iables is he opposi e o i may, o example, esul no only in a dec ease, bu also in a decline in he g ow h a e, o he gi en quan i ies. A de i ni e ac o in suppo o his p ocess is he cen al banks moni o ing and s i ing o in l uence he a e o lending o a ce ain ex en in o de o suppo economic g ow h o o ensu e ha he economy doesn’ ge o e hea ed. The e ec o he amoun o money issued as bank loans on economic de elopmen is highligh ed by he main p oponen o mone a ism, Mil on F iedman (1968). As well, F iedman and Schwa z (1963) came o he conclusion ha he co ela ion coe i cien s be ween he change in money and he nominal ou pu ange om 0.79 o 0.92 pe su ey pe iod. They quan i y he ime delays in he e ec i eness o mone a y policy in a ange o 12-24 mon hs, wi h he maximum g ow h in he amoun o money being in ad ance o 18 mon hs ahead o he peak o economic g ow h. The minimum amoun o money g ow h, acco ding o his calcula ions, will be e l ec ed in he economy in he o m o a ecession ea lie , wi h an in e al o app oxima ely 12 mon hs. Also, he money supply is unde s ood as an au onomous exogenous quan i y gi en by he cen al bank, which a ec s o he mac oeconomic a iables. The logic o his app oach is suppo ed by Miskhkin (2016), who, in addi ion o he c edi channel, also de i nes o he channels o mone a y policy ac ion. Kau mann and Kugle (2010) also es ima e eal GDP on he basis o he de elopmen o M3, including he aspec o coin eg a ion o he gi en a iables. This idea is suppo ed by Hol emölle (2004), who se s he ime delay o he mone a y policy ools on p oduc changes a six qua e s. Fo his he uses in eg a ion and coin eg a ion analysis. Cu en ly, he connec ion be ween bank pe o mance (measu ed, o example, in he o m o lending a e) and economic pe o mance is much close . This is due o he eno mous scale o globalised and also local i nancial ma ke s due o he size o he economies and hei impac on business ac i i ies. Today he e is a highe deg ee o in e connec i i y o i nancial ma ke s and economic de elopmen . The i nal p oo is ce ainly he i nancial c isis in he USA. I de eloped p ima ily in he banking sec o and spilled o e in o a public i nance c isis and an economic down u n in he economically impo an coun ies in he wo ld and Eu ope. The e o e examining he ela ionship be ween bank lending and economic de elopmen has gained impo ance. Among he a ious wo ks a ious indica o s o lending a e used o measu e economic pe o mance. These con ibu ions can be di ided in o h ee basic g oups. The mos signi i can in e ms o numbe s is he g oup o economis s who belie e in he posi i e impac o bank loans on economic de elopmen . Le ine and his co- economis s in hei wo ks (Le ine & Ze os, 1998; Beck, Le ine, & Loayza, 2000; Beck & Le ine, 2004) examined a ious combina ions o he e ec s o he liquidi y o s ock ma ke s and banks (collec i ely, i nancial in e media ion) on economic g ow h, capi al accumula ion and inc eased p oduc i i y. All he abo e, acco ding o he au ho s, is posi i ely in l uenced by he ac i i ies o banks. A meanu e al. (2015) es ed he e ec s o c edi expansion on sus ainable economic g ow h. They see a g ea e e ec wi h loans o legal en i ies a he han o na u al pe sons. The impo ance o loans o legal en i ies (companies) ac s o e a longe pe iod, because hei in es men s lead o u he g ow h. Banu (2013) ocused on he ques ion o whe he an economy, speci i cally he Romanian economy, would be capable o economic g ow h in he absence o lending. Wi hou he loans p o ided o he p i a e sec o , he Romanian economy would no g ow, as no new p ojec s would a ise. Con e sely, e y low dependence was ound be ween loans o he public sec o and economic g ow h. Kelly e al. (2013) began wi h a ange o da a om 10 yea s o he economy o I eland, which was signi i can ly a ec ed EM_4_2017.indd 35EM_4_2017.indd 35 13.12.2017 12:53:2913.12.2017 12:53:29 36 2017, XX, 4 Ekonomie by he i nancial c isis speci i cally because o he banking sec o . Despi e his signi i can l uc ua ion, Kelly i nds a posi i e impac o lending ac i i ies on g ow h in he economy. As well, E misoglu e al. (2013) in es iga ed whe he da a on loans would be an app op ia e o ecas o he de elopmen o g oss domes ic p oduc (GDP). They s essed he impo ance o loan da a in e ms o a minimum delay. Again, hey ound a posi i e e ec ; i.e., hey s a e ha using he a iable “c edi incen i es” in GDP p edic ion models inc eases hei accu acy. The esul s o a u he s udy by Ce o elli and Gambe (2001) show ha he banking sec o acili a es access o c edi o “young” i ms, he eby suppo ing he pace o economic g ow h, as in es men s by new i ms a e mo e likely o be in ol ed in inno a i e echnologies. Benci enga and Smi h (1993) conclude ha he banking sec o can also educe excessi e c edi limi a ion h ough educed moni o ing cos s and hus ensu e accele a ed economic g ow h in a coun y. Le ine (2005) shows he link be ween he ope a ion o he i nancial sys em and economic g ow h. On he o he hand, he e a e s udies ha show a nega i e ela ionship be ween bank loans and economic de elopmen as measu ed by GDP g ow h. Lei ao (2012) came o his conclusion based on an analysis o mac oeconomic a iables (economic g ow h, ade balance and in l a ion) and bank loans. He concluded ha in l a ion is nega i ely co ela ed wi h economic g ow h. The main idea behind he s udy is ha excessi e c edi g ow h ends o weaken a banking sys em and inc ease in l a iona y p essu es, he eby unde mining economic g ow h. Mian e al. (2015) based hei s udy on an analysis o he ela ionship be ween household deb and GDP. Acco ding o hei esul s, he g ow h o household deb in ela ion o GDP p edic s a lowe g ow h in p oduc ion and highe unemploymen a es in he medium e m. As well, an inc ease in household deb will esul in consump ion g ow h and wo sening cu en accoun balances as a esul o he inc eased impo o consume goods. Koi u (2002) published a s udy based on da a om 25 ansi ional economies in he yea s 1993-2000. In his wo k, he concluded ha an inc ease in lending does no accele a e economic g ow h. The causes a e a se ies o banking c ises in hese economies and i scal es ain . He also s essed ha hese esul s a e non-s anda d wi h economic i ndings p ima ily due o speci i c condi ions in ansi ion economies. Ibáñez- He nández e al. (2015) came o he conclusion ha he high g ow h in lending leads o ins abili y in he i nancial sec o and hus nega i ely a ec s economic de elopmen . The e a e also s udies ha do no indica e any signi i can ela ionship be ween he loans p o ided and economic g ow h. Fo example, Taka s and Uppe (2013) in es iga ed he e ec o bank loans on economic g ow h a e he i nancial c isis on he basis o da a om 39 i nancial c ises ha had been p eceded by a c edi boom. They ound ha a declining amoun o bank lending o he p i a e sec o does no necessa ily hinde economic eco e y a e a i nancial c isis. In hese c ises, changes in he a e o bank lending, ei he in eal e ms o in ela ion o GDP, do no co ela e wi h g ow h du ing he i s wo yea s o eco e y. In he hi d and ou h yea , he ela ionship becomes s a is ically signi i can , bu s ill emains insigni i can in economic e ms. De G ego io and Guido i (1995) ound a posi i e co ela ion be ween he g ow h a e o bank loans o he p i a e sec o and he g ow h o GDP, bu he impac a ies in di e en coun ies. In La in Ame ican coun ies, he ela ionship is ac ually nega i e. Thei a ionale was he ecen i nancial libe alisa ion in hese ma ke s combined wi h a poo le el o egula o y amewo k. They also emphasise ha he main me hod whe eby he g ow h o lending a ec s economic g ow h is p ima ily ha hese loans mus be p o ided o e ec i e p ojec s; i.e., no a c i ical amoun o hese loans. Based on he lis men ioned abo e, i is clea ha s udies a e p e alen which con i m he logic o he c edi channel o he mone a y policy ansmission mechanism and show a posi i e ela ionship be ween he g ow h o lending and he g ow h o he economy. This co esponds o he cu en p e ailing heo e ical knowledge o bank con ibu ions h ough money issuance by p o iding bank loans o g ow he economy. As well, we a e awa e o he in e dependence o he e ec s o bank loans and he de elopmen o he economy in bo h di ec ions (i.e., ac ing as a mul iplie and accele a o ). Howe e , in his a icle we ha e ocused on he impac o bank loans on he de elopmen o he economy. A wo-way ela ionship is also aken in o accoun in he discussion o he esul s achie ed. EM_4_2017.indd 36EM_4_2017.indd 36 13.12.2017 12:53:2913.12.2017 12:53:29 37 4, XX, 2017 Economics 2. Me hods This a icle ocuses on examining he ela ionship be ween wo a iables – loans g an ed and economic de elopmen . I is clea ha in economic p ac ice, he e a e a numbe o ac o s which a ec economic de elopmen . We ha e d a ed ou analysis on he basis o he ce e is pa ibus condi ion, which simpli i es he eal ela ionship, bu is s ill sui able o examining he ela ionship o wo a iables. In he i nal discussion, we also de i ne he ac o s ha will o he wise de i ni ely ha e an impac on he de elopmen o he economy. In his wo k we ha e decided o use coin eg a ion analysis; i.e., a me hod ha dis inguishes sho and long e m ela ionships o ime se ies. This is a ela i ely mode n me hod used in many o he s udies men ioned abo e and s udies o cen al banks. The esul o his is whe he he ime se ies a e coin eg a ed o no . Coin eg a ion means ha he de ia ion in he di ec ions o he de elopmen o he ime se ies can only be sho - e m, and he e is a limi beyond which he de ia ion may no con inue. The ime se ies a e hen in equilib ium and ha e a long- e m ela ionship be ween hem; i.e., hey ha e a common elemen ha can be examined (A l & A l , 2007). The ad an age o his me hod o e adi ional s a is ical me hods is ha i iden i i es any appa en eg ession. The analysis model selec ed is designed in acco dance wi h p o essional analyses and based on he speci i c cha ac e is ics o he ime sequence. The model is c ea ed o es ing delays o he dependen a iable o GDP and s a iona i y es ing, including necessa y adjus men s o da a by di e encing. Coin eg a ion is hen es ed and he i nal es is o pe o m G ange causali y. The i s s ep is he need o es he ime sequence on he op imum o de o delays o he dependen a iable GDP. To de e mine he delay, we used a calcula ion using Akaike’s in o ma ion c i e ion (AIC) in he equa ion below: (1) whe e M de i nes he numbe o pa ame e s in he model, is he esidual a iance, and T is he numbe o obse a ions. The bes ange o delay is he one whe e he in o ma ion c i e ion eaches he lowes alues. The es ou pu s o he bes ange o delay a e applied in he ollowing es s. An impo an p e equisi e be o e es ing coin eg a ion is o e i y he s a iona i y o he ime sequence being inpu o he model. S a iona i y o he ime se ies is equi ed in o de o es ima e he eg ession model. In he case o non-s a iona y da a and modelling using he leas squa es me hod, he analysis could ha e dis o ed ou comes and could p esen an appa en eg ession. In he case o non-s a iona y ime sequence, adjus men should be made using di e en ia ion o he o iginal da a. A s ochas ic p ocess is a ime- o de ed se o andom a iables, which in heo y may be iewed as a unc ion o mean alue, a iance, co a iance and co ela ion unc ions. A s ochas ic p ocess is hus e e ed o as s a iona y i he cha ac e is ics o he andom a iable a e ime cons an . These condi ions a e o mally w i en as ollows (A l e al., 2007):  Mean alue unc ion: (2)  Va ia ion unc ion: (3)  Co a iance unc ion: (4)  Co ela ion unc ion: (5) whe e X is he dependen a iable, E(X ) is he mean alue D(X ) is he a iance. S a iona i y e i i ca ion is pe o med using he ex ended Dickey-Fulle es (ADF es ) o es he hypo hesis o he exis ence o a uni oo . The es is based on eg ession o he i s di e ences o he ime sequence based on hei own delayed alues, o he delayed di e ences. In p ac ice he e a e h ee o ms o he ADF es s: wi hou a cons an , wi h a cons an , and las is wi h a cons an and a end. The selec ion is made h ough he lowes Akaike c i e ia. E alua ion is based on an assessmen o he null hypo hesis when i is es ed a a signi i cance le el o 0.05, i he ime sequence has a uni oo . Then we may say ha he ime sequence is non-s a iona y. EM_4_2017.indd 37EM_4_2017.indd 37 13.12.2017 12:53:2913.12.2017 12:53:29 38 2017, XX, 4 Ekonomie Ve i i ca ion o he null hypo hesis is e alua ed based on he calcula ed p- alues. In es ing, we assume ha he gene a ing p ocess has he o m (A l e al., 2007): (6) whe e we es ha Ø = 0 ( a iable con ains a uni oo ), X is he dependen a iable, p is a delay and e is a esidual componen . In he e en ha i is a non-s a iona y ime sequence, i is necessa y o adjus he ime sequence by using he i s di e ence. Based on he new alues o he ime sequence we decide on i s s a iona i y. I he inpu ime sequences a e non- s a iona y and a e adjus men by di e en ia ion, hey acqui e s a iona i y o he same o de , i is possible o pe o m a coin eg a ion analysis. When he abo e condi ions a e me , he Engle-G ange es (EG es ) will be applied on he ime sequence o de e mine he coin eg a ion o he ime sequence. This es is based on es ing he es ima ed esidues o he coin eg a ing eg ession o he p esence o a uni oo . Coin eg a ion eg ession will be pe o med using he smalles squa es me hod. In acco dance wi h he Engle-G ange heo ies in he nex s ep, andom componen s a e es ed using he ADF es o he p esence o uni oo s. E alua ion o his es is iden ical o he ADF es men ioned p e iously, including he selec ion o he ype o eg ession model by he lowes AIC. We will es he null hypo hesis ha he ime sequences a e no coin eg a ed a a signi i cance le el o 0.05. I he p- alue o he esidues es ed is highe han he le el o signi i cance o 0.05, we will no ejec he null hypo hesis and he es ed ime sequences a e no coin eg a ed. The a iables a e hen es ed o a possible mu ual causal link be ween he es ed se ies on he basis o G ange causa ion. The coe i cien o de e mina ion obse ed, o he co ec ed (adjus ed) coe i cien o de e mina ion desc ibes he closeness o he connec ion. The esul ing alue can be in e p e ed in e ms o pe cen age, while indica ing wha pe cen age he changes in he esponse a iables a e dependen on changes in he explana o y a iables. The coe i cien o de e mina ion indica es he quali y o he eg ession model; exp essed mo e p ecisely, i indica es wha pe cen age o a iance o he esponse a iables is explained by he model and how much emains unexplained. The i nal es is o es he causal link be ween he ime sequences, using he G ange causali y analysis. G ange de i ned he concep o causali y in he p ac ical use o ec o au o eg ession models (VAR models) o es ic ed and un es ic ed eg ession. The basic idea is ha when a se ies X a ec s a se ies Y, hen he se ies X should imp o e p edic ions o he se ies Y (Hendl, 2012). VAR models a e based on a compa ison o esidues o indi idual models di e ing in he numbe o delays. The mos sui able model is chosen o a ype ha has a minimum alue o AIC. Fo he G ange causali y es we will use he null hypo hesis ha he a iable X does no a ec he a iable Y unde G ange ’s condi ions. The basic models ake he ollowing o m (Hušek, 2007): (7) (8) whe e αi and βi a e he coe i cien s o he a iables, X and Y a e ime sequence a iables, p is he delay and u is he andom componen . The i s equa ion es ima es he dependen a iable based on i s own delayed alues, he second equa ion adds o i s own delayed alues he delayed alues o he i s a iable. The es is conduc ed using VAR models in which an in e ac ion o up o eigh delays is es ed. We ejec he null hypo hesis i he p- alue is less han he signi i cance le el o 0.05. Hnízdo (2015) u he explains he issue in de ail. 3. Da a Da a on loans a e aken om he Czech Na ional Bank (ČNB) da abase. These a e loans o non- i nancial businesses, loans o households, mo gage loans, consume loans and o al loans. All a iables a e in he o m o ela i e annual change in a qua e ly equency. These da a a e seasonally adjus ed o he ime pe iod 2004-2015. The ime se ies is based on i nancial ma ke de elopmen s and changes in he Czech economy. One eason o se ing his se ies is he ac ha be o e 2004 he e we e signi i can changes in he banking sec o in he Czech Republic, which changed he owne ship s uc u e, and he go e nmen had in e ene o EM_4_2017.indd 38EM_4_2017.indd 38 13.12.2017 12:53:2913.12.2017 12:53:29 39 4, XX, 2017 Economics s abilise he banking sec o and clea he deb s o declining la ge banking companies. The da a a e shown in he ollowing able. De elopmen o he economy is measu ed using s anda d indica o s o g oss domes ic p oduc in he Czech Republic, epo ed in he s a is ics o he Czech S a is ical O i ce and also e e ed o in he da abase o he Czech Na ional Bank. Again, o compa a i e pu poses, hese a iables a e in he o m o ela i e annual changes in a qua e ly equency. These da a a e shown in he ollowing i gu e (Fig. 1). Fig. 1 shows he s ong g ow h o all componen s o loans g an ed in 2005-2008, household loans and mo gages om an ea lie pe iod. This is ela ed o he apid g ow h o he economy, including expo s, which a e, among o he hings, d i en by in es men ac i i y. This is widely unded by loans p o ided o businesses as well as by mo gage loans. In addi ion, in e es a es ha e allen sha ply a his ime, con ibu ing o a g ea e willingness pa icula ly among households o incu deb s. Ano he ac o is undoub edly he demog aphic de elopmen , whe e a signi i can po ion o he popula ion in his pe iod deal wi h hei housing needs. A e 2008, on he o he hand, he e ec s o he i nancial c isis in de eloped coun ies begin o show. These ha e mani es ed hemsel es in he Czech Republic in he economic c isis and he decline in in es men and c edi ac i i y esul ing om a c isis o con i dence; i.e., due o he cau ion o banks in g an ing loans. Va iables a e examined in absolu e alues and in in e -annual changes. Tab. 1 shows desc ip ions o he a iables used. Fig. 1: De elopmen o GDP and selec ed ypes o loans (annual change in %) Sou ce: Czech Na ional Bank (2016) EM_4_2017.indd 39EM_4_2017.indd 39 13.12.2017 12:53:2913.12.2017 12:53:29 40 2017, XX, 4 Ekonomie 4. Resul s As men ioned abo e, we a e in e es ed in whe he he e is coin eg a ion among he selec ed a iables. Tha is, whe he he gi en ime se ies e ol e simila ly o e he long e m. This is, om an economic poin o iew, he unde lying idea o he c edi channel o he mone a y policy ansmission mechanism. In he sho e m, based on he in e p e a ion o he coin eg a ion analysis, some disc epancies may occu . Based on he model chosen, an op imum o de o delay is es ed, as well as da a s a iona i y, coin eg a ion es and subsequen ly he G ange causali y es is pe o med. Fo his model, we i s de e mined he op imum delay o de on he basis o AIC (acco ding o Fo mula 1) o GDP in absolu e e ms as well as in e -annual changes. The esul s a e shown in he Tab. 2. Based on he lowes alue o AIC, we can conclude ha o he dependen a iable GDP, he op imum delay is ha o he second o de . The semi-annual delay iden i i ed will be e l ec ed in subsequen es s. We will p oceed o e i y he s a iona i y o he ime sequence. The i ndings o s a iona i y in he ime se ies will be made using he ex ended Dickey-Fulle es (see o mula 6). A null hypo hesis is used o he ADF es when he ime sequences es ed a e no s a iona y. S a iona i y es esul s o he se ies in absolu e alues and in e -annual changes o GDP and o al loans a e shown in he Tab. 3. The esul s o he ADF uni oo es indica e ha he o iginal da a o all ime sequences a e non-s a iona y. Non-s a iona i y o he ime se ies means ha appa en co ela ion could occu o he co ela ion analysis. S a iona i y o all ime sequence was achie ed only a e hei di e en ia ion and he ime sequences a e he e o e in eg a ed in s age I (1); see Pa 2 o he Tab. 3. Based on he esul s shown abo e, we can p oceed o he coin eg a ion es . The coin eg a ion es is pe o med using he Engle-G ange es (see o mula 2). This es equi es non-s a iona i y o he o iginal ime sequence and he same deg ee o in eg a ion. Bo h condi ions a e shown in Tab. 3. The null hypo hesis o coin eg a ion is ha he ime sequences es ed a e no coin eg a ed. The ype o es chosen is based on he lowes alue o he Akaike c i e ion. Tes ing coin eg a ion ela ionships o a iables in absolu e alues is pe o med using he EG es , whe e he model is chosen wi h a cons an and end based on he lowes alue o Va iable Mac oeconomic alue Uni Sou ce Y G oss domes ic p oduc bn. CZK ČNB Uc To al loans bn. CZK ČNB ∆Y GDP g ow h % ČNB ∆Uc To al loan g ow h % ČNB Sou ce: own O de o Delays AIC o ∆Y 13.41229 22.94612 32.99098 43.03142 Sou ce: own Tab. 1: De i ni ion o he a iables used in he analyses Tab. 2: Resul s o op imum o de o delay EM_4_2017.indd 40EM_4_2017.indd 40 13.12.2017 12:53:3013.12.2017 12:53:30 41 4, XX, 2017 Economics AIC, which amoun s o 1,121.736. The esul ing calcula ed alues o de e mining coin eg a ion a e lis ed in he Tab. 4. Based on es s, we will no ejec he null hypo hesis o non-coin eg a ion o he ime sequence, as he calcula ed all p- alues a e highe han he speci i ed signi i cance le el o 0.05. Fo his eason, in bo h cases, he es se ies is non-coin eg a ed. In he ollowing es , causali y is pe o med using a VAR model (see o mula 3 and 4). Fo he G ange es s o ime causali y, a null hypo hesis is se , ha he de elopmen o bank loans does no a ec he economic cycle and he e o e has no impac on he o ecas s o he GDP. Tes s a e pe o med o eigh qua e ly delays, whe e any causali y can be assumed. Tes esul s o in e -annual changes o qua e ly alues a e gi en in he ollowing able (Tab. 5). Causal ela ions o he de elopmen o loans o GDP a e shown a a signi i cance le el o 0.05 a wo, ou and eigh qua e ly delays. Based on he calcula ed p- alue, i is possible in h ee cases, o decide o ejec he null hypo hesis a a signi i cance le el o 0.05. F om he economic poin o iew i means ha he de elopmen o bank loans in he o m o ela i e annual changes ( o o al loans) Model p- alue E alua ed esul o ADF es Tes wi h cons an ∆Y0.6492 Time sequence is non-s a iona y ∆Uc 0.7910 Time sequence is non-s a iona y ∆Up 0.5196 Time sequence is non-s a iona y ∆Ud 0.8450 Time sequence is non-s a iona y ∆Uh 0.4006 Time sequence is non-s a iona y ∆Us 0.8225 Time sequence is non-s a iona y Tes wi h cons an Fi s di e ence ∆Y0.01756 Time sequence is s a iona y Fi s di e ence ∆Uc 0.00427 Time sequence is s a iona y Fi s di e ence ∆Up 0.00007 Time sequence is s a iona y Fi s di e ence ∆Ud 0.00010 Time sequence is s a iona y Fi s di e ence ∆Uh 0.00068 Time sequence is s a iona y Fi s di e ence ∆Us 0.00006 Time sequence is s a iona y Sou ce: own Model Va iable AIC p- alue H0: 2 delays wi h cons an ∆Y 239.4507 0.0693 No ejec ed 1 delay wi h cons an and end ∆Up 232.1227 0.4894 No ejec ed 1 delay wi h cons an and end ∆Ud 231.2742 0.2772 No ejec ed 1 delay wi h cons an and end ∆Uh 228.4799 0.1836 No ejec ed 1 delay wi h cons an ∆Us 237.2326 0.1728 No ejec ed Sou ce: own Tab. 3: Resul s o ADF s a iona i y es o o al loans and GDP Tab. 4: Resul s o he E-G coin eg a ion es in annual changes EM_4_2017.indd 41EM_4_2017.indd 41 13.12.2017 12:53:3013.12.2017 12:53:30 42 2017, XX, 4 Ekonomie causally ac wi hin he meaning o G ange causali y on he de elopmen o GDP, wi h a ce ain ime lag. The ollowing able (Tab. 6) shows he esul s o he G ange causali y in qua e ly in e -annual changes be ween de elopmen s in loans o non- i nancial businesses and GDP g ow h. Causal ela ions o he de elopmen o loans o non- i nancial businesses o GDP a e shown a a signi i cance le el o 0.05 a wo, ou and eigh qua e ly delays. Based on he calcula ed p- alue, i is possible in h ee cases, o decide o ejec he null hypo hesis a a signi i cance le el o 0.05. F om he economic poin o iew i means ha he de elopmen o bank loans in he o m o ela i e annual changes ( o loans o non- i nancial businesses) causally ac wi hin he meaning o G ange causali y on he de elopmen o GDP, wi h a ce ain ime lag. The Tab. 7 shows he esul s o he G ange causali y in qua e ly in e -annual changes be ween de elopmen s in loans o households and GDP g ow h. Causal ela ions o he de elopmen o loans o households o GDP a e shown a a signi i cance le el o 0.05 a one, wo, ou and six qua e ly delays. Based on he calcula ed p- alue, i is possible in ou cases, o decide o ejec he null hypo hesis a a signi i cance le el o 0.05. F om he economic poin o iew i means ha he de elopmen o bank loans in he o m o ela i e annual changes ( o loans o households) causally ac wi hin he meaning o G ange causali y on he de elopmen o GDP, wi h a ce ain ime lag. The Tab. 8 shows he esul s o he G ange causali y in qua e ly in e -annual changes be ween de elopmen s in mo gage loans and GDP g ow h. Null hypo hesis Delay p- alue H0: ∆Uc does no causally ac on ∆Y1 0.1843 No ejec ed ∆Uc does no causally ac on ∆Y2 0.0070 Rejec ed ∆Uc does no causally ac on ∆Y3 0.2816 No ejec ed ∆Uc does no causally ac on ∆Y4 0.0086 Rejec ed ∆Uc does no causally ac on ∆Y5 0.3925 No ejec ed ∆Uc does no causally ac on ∆Y6 0.4210 No ejec ed ∆Uc does no causally ac on ∆Y7 0.1402 No ejec ed ∆Uc does no causally ac on ∆Y8 0.0176 Rejec ed Sou ce: own Null hypo hesis Delay p- alue H0: ∆Up does no causally ac on ∆Y1 0.5110 No ejec ed ∆Up does no causally ac on ∆Y2 0.0039 Rejec ed ∆Up does no causally ac on ∆Y3 0.4321 No ejec ed ∆Up does no causally ac on ∆Y4 0.0172 Rejec ed ∆Up does no causally ac on ∆Y5 0.6775 No ejec ed ∆Up does no causally ac on ∆Y6 0.8680 No ejec ed ∆Up does no causally ac on ∆Y7 0.0769 No ejec ed ∆Up does no causally ac on ∆Y8 0.0458 Rejec ed Sou ce: own Tab. 5: Resul s o G ange causali y in annual changes – o al loans Tab. 6: Resul s o G ange causali y in annual changes – loans o non- i nancial businesses EM_4_2017.indd 42EM_4_2017.indd 42 13.12.2017 12:53:3013.12.2017 12:53:30