A comparison of the internal and external determinants of global bank loans: Evidence from bilateral cross-country data

Size: px
Start display at page:

Download "A comparison of the internal and external determinants of global bank loans: Evidence from bilateral cross-country data"

Transcription

1 A compaison o he inena an exena eeminans o goba ban oans: Evience om biaea coss-couny aa Uuc Aysun a* Ra Hepp b a Univesiy o Cena Foia, Oano, FL3816 b Depamen o Economics, Foham Univesiy, Bonx, NY, Unie Saes Absac This pape ins ha acos eemine ousie o a couny ae moe cosey eae o he goba ban oans she eceives. These oans ae moe sabe when goba bans ae ess compeiive an have a highe pesence in he ecipien couny. We obain ou esus by using aa on he biaea oans posiions o 15 counies an a unique mehooogy o ieniy an compae he inepenen eecs o exena an inena acos. We in suppo o ou empiica esus an aw moe eaie ineences o compeiion an goba ban pesence by soving a simpe moe o goba baning. JEL Cassiicaion: E; F3; G15; G1 Keywo(s): Coss-couny oans, goba bans, compeiion, oveapping geneaions moe. * Coesponing auho: Univesiy o Cena Foia Coege o Business Aminisaion, 000 Cena Foia Bv., P.O. Box 16100, Oano, FL Emai: uaysun@bus.uc.eu Te: (+1)

2 1. Inoucion Ove he pas 15 yeas, bans have become moe goba, age an an impoan souce o inance o counies. 1, These eveopmens have spae a api expansion in he ieaue on goba baning (we iscuss his ieaue beow). Whie his expansion has been agey hough papes invesigaing he eecs o goba bans on economic sabiiy an inenaiona business cyces (especiay ae he ey oe ha hey paye uing he cisis), suies ha ocus on he ynamic eeminans o goba ban ows ae eaivey sma in numbe. In his pape, we ocus on he goba oans o bans an use hei couny-speciic ening behavio as a means o eemining why oans ow in an ou o counies. 3 Thoughou he pape, ou anaysis evoves aoun a simpe quesion: Ae he coss-couny ows o ban oans eemine mosy by inena o exena acos? I inena acos ae moe impoan, his cou sugges ha an economy wih a high, obus gowh ae an heahy boowe baance shees wou eceive moe oans om goba bans an ha hese oans wou iminish in counies ha ae peoming pooy; counies wou have cono ove hei own esinies. Convesey, i exena acos ae moe impoan, he sae o an economy may no be songy eae o he oans i eceives an economies may be moe suscepibe o exena eveopmens. These answes o ou quesion, abei, o no have any impicaions o economic sabiiy. Coninuing wih ou exampe above, i is possibe o a apiy gowing economy o be esabiize by exena uning i hese uns ae aocae o ineicien invesmens. I is aso 1 The oeign caims o Ban o Inenaiona Seemens (BIS) epoing bans as a shae o wo GDP, o exampe, have incease om 5.9 o 3.9 pecen om 1995 o 011 an he Lene inex o ban compeiion has incease om 0.19 o 0.7 om 1996 o 010, inicaing a ecease in he egee o compeiion. We shou noe, howeve, ha boh vaiabes have emonsae ieen ens, a negaive one ae 007 in paicua. The oeign caims aa ae obaine om he BIS quaey saisics an he annua aios ae compue by aveaging he quaey vaiabes. The Lene inex is om he FRED aabase o he Feea Reseve Ban o S. Louis. Ohe inicaos o ban concenaion, aso obaine om FRED, simiay evea a eeioaion o compeiive conuc. The Boone inicao o ban compeiion in he wo has incease om o om 1997 o 010 an he 3-ban asse concenaion has incease om 3.1 o 70. pecen om 1995 o 011. See Buno an Shin (013), an Ceoei an Gobeg (01) o simia ens in ban gobaizaion. 3 Whie he goba expansion o bans has been obseve o a asse ypes, oans consiue he ages shae. The shae o oans amongs oeign caims o a BIS epoing bans was appoximaey 7 pecen in

3 possibe o goba ban ening o have a sabiizing eec when hey ae mosy eemine by exena acos given ha hese acos ae eaivey moe sabe. Ou anaysis oes, howeve, aow us o aw impoan concusions o economic inegaion an he aignmen o business cyces. I goba ban ows ae mainy eemine by exena acos, o exampe, his wou sugges ha economies ae now moe inegae inanciay an ha goba inancia cises, such as he cisis, cou be moe equeny obseve. Fo peios no chaaceize by a cisis, he impoance o exena acos wou impy a highe egee o aignmen in goba business cyces an i wou sugges ha macoeconomic imbaances acoss counies have become a ess ciica inenaiona concen compae o goba inancia sabiiy. Whie ou quesion is simpe, i is vey boa an ining an answe is a om saighowa. Face wih hese obsaces, we oow a ew caeu seps o aw empiica ineences an bui a heoeica moe o guie us in escibing an compaing he eecs o exena an inena shocs. We is naow own ou empiica invesigaion by ocusing on he sengh o boowe baance shees, appoximae by he ea GDP gowh ae an he unempoymen ae, an he goba bans uning coss, measue by ineban boowing aes an eposi aes, as he poenia inena an exena eeminans o ban ening, especivey, since hese ae he mos commony use inicaos o cei wohiness an he cos/ease o ening (e.g. Ashca an Campeo, 007; Kashyap an Sein, 000). Nex, we consuc a quaey aase ha incues he ousaning amoun o biaea ban oans acoss 15 avance economies (10 pais). The aa ae om he Ban o Inenaiona Seemens (BIS) ocaiona baning saisics an span he 000Q1-01Q peio. We hen combine he BIS aa wih vaious boowe baance shee an ban uning cos vaiabes o om ou ynamic, baance pane aase.

4 The main iicuy in ou esimaions ies in ieniying he inepenen eecs o inena an exena acos on ening; i.e., o bans en moe in a speciic couny because he boowes have songe baance shees o because he bans cos o uning is owe? To answe his quesion, we oow a unique ieniicaion saegy, mae possibe ony by he biaea imension o ou aase. Since we can obseve a ening couny s (o is bans ) oans in he ohe 1 counies, we ae abe o measue he couny-speciic oan gowh aes eaive o he aveage goba oan gowh ae. Maching his vaiabe wih he baance shee sengh measues o he ecipien counies hen aows us o cono o any suppy sie acos ha may aciiae o impee ening an ieniy he inepenen eecs o a couny s baance shees (inena acos) on he amoun o goba oans she eceives. We evese his mehooogy o ieniy he eecs o exena acos (cos o uning), an measue he couny-speciic oan gowh aes in a given couny eaive o he aveage oan gowh ae in ha couny. By oing so, we cono o eman sie (inena) acos since goba bans en in he same couny. Hee we shou menion wo aspecs o ou mehooogy. Fis, when measuing he oan gowh aes in eviaiona om, we impiciy assume ha suppy sie (ene-speciic) esicions appy symmeicay o a boowes. Ahough bans can possiby ace ieen suppy sie esicions in ieen counies, he usua inings o he inena capia maes ieaue inicae ohewise; bans use hei inena maes eecivey o aocae uns acoss hei subsiiaies an hus ace simia esicions when ening in ieen counies. Secon, given ha ban eve aa on couny-speciic oans ae no avaiabe, o he bes o ou nowege, we use couny eve aa. Whie his cou poeniay mas he ieen ban eve sensiiviies o he wo acos, we in ha he baning secos ae, in genea, highy concenae in ou sampe counies an a ew age goba bans accoun o mos o he oans. See o exampe, Houson e a. (1997), Campeo (00), Ceoei an Gobeg (01) an De Haas an Leyveb (010). 3

5 Ou esus inicae ha goba ban oans ae posiivey eae o he sengh o boowe baance shees an negaivey eae o he bans cos o uning. In ohe wos, counies wih eaivey owe unempoymen aes an highe gowh aes eceive moe oans an bans ha ace owe boowing coss expan hei ening by moe. We in ha hese eaionships ae economicay impoan an obus o aenaive measues o baance shee sengh an uning coss. To compae he wo acos, we sanaize he baance shee an cos o uning vaiabes so ha hey have a mean o zeo an a sana eviaion o one. The esimaion esus evea a cea ispaiy beween he wo acos an inicae ha he cos o uning, he exena aco, is a moe impoan eeminan o goba ban oans. As we menione, a he same ime ha bans wee becoming moe goba, hey wee aso gowing in size an causing eeioaion in compeiive conuc. Ahough i is unceain whehe he wo eveopmens ae eae, mos economiss wou agee ha bans wou behave ieeny in maes wih ieen egees o compeiion. In an aenaive se o egessions, we heeoe invesigae how he egee o compeiion in he ecipien counies is eae o he sensiiviies o baance shee sengh an uning coss. Hee, we aso invesigae how oeign ban pesence (hei shae in oa oans) is eae o hese sensiiviies. Ou esus inicae ha when hee is ess compeiion in baning, boh ses o sensiiviies ae smae in magniue; hee is moe sabiiy in exena uning when bans ae age. Foeign pesence egessions evea a simia miigaing eec; as oeign ban pesence inceases exena oans become moe sabe. We in ha boh o hese eecs ae economicay impoan. 5 In he secon ha o he pape, we bui a simpe moe popuae by oveapping geneaions (OLG) o ieniy he mechanisms ha eemine goba bans sensiiviies o 5 Fo exampe, accoing o ou esus i Iay s oeign ban asses o GDP aio (aveage o.1 pecen) wee o each he eve o Denma (6.3 pecen), he sensiiviy o he baseine baance shee an cos o capia measues wou ecease by 50 an 3 pecen, especivey. We in an even age eec on he sensiiviies in ou esimaions wih compeiion.

6 inena an exena shocs an invesigae he oe o compeiion an oeign ban pesence. In he moe we incue omesic an oeign bans, each goup oming a Couno oigopoy, an incopoae boowe baance shees by oowing he invesmen-capia convesion amewo in Ceoei an Peeo (01). In his amewo invesmen is inance by ban oans an i can be successuy convee o capia wih ony a ceain pobabiiy; hee is eau ohewise. This icion heps us geneae baance shee (eau pobabiiy) shocs an anayze he eacion o oeign bans in a saighowa way. Exena shocs ae he changes in oeign bans uning coss an he eau pobabiiy o anohe couny ha aecs oeign bans eveage. The moe s symmeic Nash equiibium eveas sevea esus. As expece, oeign bans en moe when hei uning coss ae owe an omesic baance shees impove. The moe insighu esus ae eae o he ineacion o bans. In paicua, he wo ypes o bans inuence each ohe hough hei eecs on he euns om ening an uning coss; highe omesic (oeign) ban ening causes a ecease in he magina euns an an incease in he magina coss o oeign (omesic) bans. We in a weae ineacion when ban pois ae moe sensiive o shocs. I, o exampe, oeign bans euns, eaive o omesic bans, incease subsaniay in esponse o a ecease in eau pobabiiy an hei coss o no, hey en moe no ony because hey ace age poi magins bu aso because omesic bans have a smae negaive impac on hei pois. The ispaiy beween he sensiiviies o exena an inena shocs hus epens on he shocs iec impac on oeign bans pois an hei impac hough omesic bans. I, o exampe, a eau shoc pomps a eaivey age omesic ban esponse, oeign bans sensiiviy o uning coss can be age. Invesigaing he oe o compeiion, we in ha bans ispay highe sensiiviy when hey ae age in numbe an hus moe compeiive. The eason is ha hese eaivey sma 5

7 bans each iminishing magina euns an inceasing magina coss ess quicy han hey wou i hey wee age. The eec o compeiion on oeign ening sensiiviy is, howeve, no saighowa an i epens asymmeicay on he eve o compeiion amongs oeign an omesic bans. I oeign bans ae moe compeiive, hei sensiiviy o boh exena an inena shocs is highe. I omesic bans ae moe compeiive, oeign sensiiviies ae owe. The ae eec is ue o he miigaing impac ha a highe omesic ban esponse has on oeign ban ening. Tuning o oeign ban pesence, we in ha wih a age shae o oeign bans, he miigaing eecs o omesic bans ae smae an hus oeign ening is moe sensiive. Hee, a compaison o hese heoeica ineences wih ou empiica esus, ecommens a moe nuance an eaie appoach o suying he impac o compeiion an oeign ban pesence on oeign ening sabiiy. Speciicay, a owe egee o compeiion bings moe sabiiy ony i i is obseve among oeign bans an i oeign ban pesence is ow. Convesey, highe oeign ban pesence bings sabiiy, as suggese by ou empiica inings, ony i oeign an omesic bans ae ess an moe compeiive, especivey. Ou pape is eae o sevea sans o ieaue. Sepaaing he eecs o suppy an eman sie acos on ban ening empiicay is, o exampe, a nooious pobem in he cei channe ieaue o moneay economics, is menione by Benane an Gee (1995). Given his iicuy, suies ypicay ocus on eihe suppy sie (e.g. Kashyap an Sein, 000) o eman sie acos (e.g., Ashca an Campeo, 007; Apana an Aysun, 01; Aysun an Hepp, 011, 013) an mosy invesigae he ansmission o U.S. moneay poicy. A common ining is ha whie suppy sie acos have ecine in impoance ue o inancia innovaion an he gowing size o bans, eman sie acos (i.e., boowe baance shees) ae si an impoan conui o moneay poicy. Ou mehooogy aows us o no ony measue 6

8 he eecs o he wo acos bu aso o compae hem. Ou coss-couny anaysis inicaes ha suppy sie acos ae he pimay eeminan o ening. Thus whie he eec o suppy sie acos may be ecining in he U.S., hey may si be impoan gobay. Ou pape is moe iecy eae o he ieaue on he eaionship beween business cyces an oeign ban ening. In his ieaue, he evience o he impoance o exena an inena acos o oeign ening is mixe. On he one han, suies such as Buch (000), Dah e a. (00), De Haas an Van Leyve (006), Gobeg (00), Henanez an Ruoph (1995), Jeanneau an Micu (00), Mainez Peia e a. (00) an Mogan an Sahan (00) in ha bans esabiize economies by shiing uns om economies wih wea baance shees o hose wih song baance shees. This mechanism, eee o as he subsiuion eec in De Haas an Van Leyve (010), is consisen wih he usua ining ha oeign bans exen oans wih shoe mauiy an o ess house-ban/eaionship ening which maes hem moe sensiive o boowe baance shees. On he ohe han, suies such as Ceoei an Gobeg (01), Cysa e a. (00), Dages e a. (000), an Pee an Rosengen (000) in ha goba bans hep hei subsiiaies acoss he wo hough hei inena capia maes o equae euns. This mechanism, eee o as he suppo eec, avos suppy sie acos as he pimay eeminans o ban ows. In his pape, we in ha he suppo eec is moe impoan an oeign ban oans ae moe sabe when hey have a highe pesence in he boowing couny an hey ae no oo compeiive. Given he cucia oe ha goba bans paye uing he cisis, ecen suies have incue hei baance shees an he icions hey ace ino open economy moes o impove hei peomance (e.g. Davis, 010; Gee an Kaai, 011; Komann, 013; Komann e a., 011; Meh an Moan, 010). These enichmens have aowe o a moe 7

9 accuae epesenaion o inenaiona business cyces an have geneae he much neee coss-couny oupu coeaion hese moes wee acing wih he symmeic eecs o goba bans on he counies ha hey en o (e.g. Apana an Aysun, 01). Ou esus ae consisen wih his ieaue an impy ha a highe equency o goba inancia shocs (exena shocs) can incease oupu coeaion an aign business cyces aoun he wo. Tuning o he ieaue on compeiion an inancia sabiiy we in ha i is simiay ivie. Whie heoeica inings an evience om a moe compehensive se o counies sugges ha ess compeiion can bing moe sabiiy (Aen an Gae, 000, 00; Boo an Thao, 1993; Heman e a., 000; Keeey, 1990; Macus, 198), hee is consieabe evience suggesing ohewise (e.g. Boy an De Nicoo, 005; Johnson an Kwa, 010). In his pape, we mae a isincion beween he compeiion among oeign an omesic bans, especivey, an in ha hey can have opposie eecs on inancia sabiiy. We uhe concue ha he eecs o compeiion ciicay epen on oeign ban pesence an ha a moe nuance appoach is waane. This concusion is suppoe by he inings o Angine e a. (01) an Caessens an Van Hoen (01). Whie he ome suy ins ha he ac o compeiion ony becomes esabiizing in counies wih owe oeign ban pesence, he ae ins ha he wo may be eae; hee may be moe compeiion wih age oeign bans. The es o he pape is oganize as oows. Secion iscusses ou aa, mehooogy an esus. Secion 3 escibes he moe an iscusses he ineences. Secion concues.. Empiica evience In his secion we is escibe he mehooogy ha heps us ieniy he unique eecs o inena an exena acos on oeign ening. We hen escibe ou aase an pesen ou esus. In oing so, we assess he impoance o compeiion an oeign ban pesence. 8

10 .1. Loca baance shees an goba ban oans We begin by invesigaing he eaionship beween he sengh o a couny s baance shees (he eman sie o he cei mae) an he goba ban ows she eceives. In oing so, we cono o he suppy sie by measuing he oan gowh ae an he baance shee sengh vaiabes as eviaions om he ene-speciic aveages. Speciicay, e ij an bs i enoe he gowh ae o oans ha couny i s bans mae in couny j an hei aveage coss-couny oan gowh ae a ime, hen he epenen vaiabe, he eaive oan gowh ae ~ bs ij, is given by, ~ bs ij ij bs i (1) Simiay he main inepenen vaiabe, he eaive sengh o oca baance shees, y~ ij, is measue as he ieence beween he oupu gowh ae in couny j, y ij, an he aveage oupu gowh ae acoss a he counies ha couny i s bans en in, y i, so ha ~ y ij y ij y i () Ae consucing he main vaiabes, we incue hem in he oowing moe: ~ bs ij bs 1 ~ bs bs ij 1 ~ y bs ij 1 bs bs ij bs ij (3) whee bs ij is a veco o ene-speciic cono vaiabes ha hep us accoun o any esiua suppy sie eecs on he bans abiiy o en. Hee, we oow he common paameeizaion an incue ou ags o boh he epenen an inepenen vaiabes on he igh han sie (e.g., Ashca an Campeo, 007; Ceoei an Gobeg, 01; Kashyap an Sein, 000). Since bans suppy sie esicions, as menione above, appy simiay acoss a he counies ha hey en in, we can ocus on he eman sie, i.e., he iiosyncaic ucuaions in he cei wohiness o boowes, by consucing he vaiabes in eviaiona om. A simpe 9

11 hough expeimen hee can uhe caiy ou ieniicaion. Assume, o exampe, ha he cos o obaining oanabe uns o Begian bans inceases. This can eihe be a shoc common o evey couny o speciic o Begium. Assume aso ha he Geman economy is gowing consieaby ase han a he ohe economies ha Begian bans en in. Then, by measuing boh he oans ha Gemany eceives om Begium an he economy s gowh ae eaive o he ohe economies ha Begian bans en in, we ae abe o ieniy he eec o Geman baance shee sengh on he ban oan inows inepenen o he incease in Begian bans uning coss. Ahough his mehooogy aows us o cono o suppy sie acos, we acnowege ha boowe cei wohiness is no he ony eman sie eeminan o goba oans. Thee ae ohe ecipien-couny-speciic, ime-vaian an ime-invaian, acos (such as he quaiy o insiuions) ha can poeniay miigae o ampiy he wihawa om o ows ino hese counies when bans ace suppy sie shocs. To hone in on he ynamic eecs o boowe baance shees, we expess he main vaiabes in og ieences o eiminae ime invaian eecs an we use he mos compehensive measues ha eec baance shee sengh; i.e., he GDP gowh ae an unempoymen ae. We aso consie hee acos ha ae ess voaie ye iecy eae o ban behavio (compeiion, ening shae an oeign ban pesence)... Bans cos o uning an goba ban oans We pocee by econiguing ou moe o invesigae he eaionship beween bans cos o capia an hei goba ening behavio. The chaenge in his secion, convesey, is o cono o he ecipien counies baance shees when measuing he eec o suppy sie acos on he goba ban oans ha hey eceive. To coninue wih he hough expeimen above, assume now ha amongs a he bans ha en o Gemany, Begian bans ae he ones 10

12 ha ace he ages incease in he cos o obaining oanabe uns. To ieniy he unique eecs o his uning shoc on he amoun o Begian ening in Gemany, we cou hen measue boh he gowh ae o Begian oans in Gemany an he Begian bans cos o capia eaive o hei aveage vaues measue acoss a he goba bans ha en in Gemany an quaniy he eaionship beween he wo vaiabes. By oing so, we wou be conoing o eman sie acos (Geman baance shees) when measuing he impac o suppy shocs. To conuc his anaysis, we econsuc ou vaiabes as oows: Le j enoe he aveage gowh ae o a goba oans in couny j, hen he eaive gowh ae o couny i s oans, ~ ij, is given by ~ ij ij j () Simiay, e bij an b j enoe he cos o uning o couny i s bans an he aveage cos o uning acoss a he goba bans ha en in couny j, especivey. Then he eaive cos o capia o couny i s bans, b ~ ij, is consuce as ~ b ij b ij b j (5) We incue hese wo vaiabes in he oowing moe, ~ ij 1 ~ ij 1 ~ b ij 1 cs j ij (6) whee he main ocus is on he coeiciens o b ~ ij an a veco o boowe speciic vaiabes, cs j, is incue o accoun o he esiua eman sie eecs ha ae no shu o..3. Daa In his secion, we escibe ou aase, epo vaious escipive saisics, an iscuss ou esimaion mehooogy. The aa einiions an souces ae povie in Appenix A. 11

13 We obain ou aa mainy om wo souces: he Ban o Inenaiona Seemens (BIS) Locaiona Baning Saisics an he FRED aabase o he Feea Reseve Ban o S. Louis. The coss-couny oan aa ae om he BIS aabase an hey ae avaiabe ae 198 o 6 epoing counies. We esic ou aase o incue quaey obsevaions beween 000Q1 o 01Q. We choose he yea 000 as ou cuo poin since pio o his yea he aa ae epoe semi-annuay an hee ae many missing obsevaions; we uhe esic ou aase o 15 counies ha have no missing obsevaions. The counies in ou baance pane aase (Ausia, Begium, Canaa, Swizean, Gemany, Denma, Spain, Fance, Unie Kingom, Iay, Japan, Neheans, Pouga, Sween, Unie Saes) ae aso he age economies in he wo, an hey accoun o an ovewheming shae o he oans in he BIS aabase. The oans ae in miions o U.S. oas, posiive o each boowe-ene pai an epesen BIS epoing bans ousaning amoun o exena oans vis-à-vis a secos (Tabe 7A). 6 To consuc he epenen vaiabe in equaion (3), we measue, o each ening (epoing) couny, he gowh ae o he oans in each o he 1 ohe counies an he aveage vaue o hese gowh aes. We hen compue he eaive oan gowh ae as he ieence beween he boowe speciic an he aveage oan gowh ae. To consuc he epenen vaiabe in equaion (6), we measue, o each boowing couny his ime, he gowh ae o he oans exene by he ohe 1 counies an he aveage vaue o hese oan gowh aes. We hen simiay measue he eaive oan gowh ae as he ieence beween he wo vaiabes. One avanage o ou mehooogy is ha i aows us o aw ineences om a eaivey age pane aa se (especiay since he aa ae a he couny eve) ha incues appoximaey 9,000 obsevaions (10 couny pais an 7 quaes) o each egession. 6 We use he oans o a secos since oans o he non-inancia secos wee no avaiabe vis-à-vis iniviua counies. 1

14 The emaining aa ae om he FRED aabase. 7 Fom seasonay ajuse aa we compue he quaey ea GDP gowh ae an he quaey change in he hamonize unempoymen ae o obain ou baseine inicaos o boowes baance shee sengh. We capue he bans uning coss by hei oca 3-monh an -hou ineban aes an eposi aes. We aso incue ohe measues o uning coss an vaious ban baance shee an income saemen aios o chec he sensiiviy o ou esus. The inepenen vaiabes hee ae simiay measue as eviaions om aveages. In equaions (3) an (6) we use he enes an he boowes ea GDP gowh aes an he change in hei 3-monh ineban inees aes as cono vaiabes, especivey, o accoun o he esiua ene an boowe speciic eecs. Besies is eaivey age size, ou aase accouns o an impoan shae o he oans o he counies in ou sampe. In Pane A o Tabe 1 we iusae his eaue o ou aase by epoing he aio o he BIS oan inows an ouows o he oa amoun o oca pivae cei (in U.S. oas). The aveage aios (compue om 000 o 01) ae geneay age an emonsae a consieabe amoun o vaiaion boh acoss ime (he sana eviaion o he aios acoss he sampe peio) an acoss counies. 8 As expece, we obseve ha some counies ae ne enes an he ohes ae ne boowes uing he sampe peio. The 3-ban an 5-ban concenaion aios ae he shae o he op 3 an 5 bans asses in hei oca baning seco, especivey. Noice ha o a majoiy o he counies hese aios ae above 50 pecen an emonsae a consieabe amoun o vaiaion acoss counies (o exampe, he 3-ban concenaion is 7.6 pecen o he U.S. an 9.5 pecen o Sween). Beow, we expoe whehe his vaiaion impacs he goba bans ening ecisions. The nex ow, in Pane A inicaes a signiican oeign ban pesence in he sampe counies. Consisen 7 The aa ha we obaine om FRED ae compie om OECD an IMF saisics. 8 The aios can be geae han 100 pecen since he oca cei vaiabe incues ony pivae oans. 13

15 wih he aios in he is wo ows, he oa amoun o ousaning oeign oans o GDP aios ae ceainy no negigibe. The nex wo vaiabes show ha oeign bans ae ew in numbe an hey ae age (oeign bans asses o omesic bans asses aios ae geae han 100 pecen o some counies). We shou eieae ha impoance o he ae obsevaion o ou pape. Since we o no have ban-eve aa on couny speciic ening, ou esimaions may mas he ieen sensiiviies ha bans exhibi an ea o miseaing ineences. Since he coss-couny oans in ou sampe ae mosy mae by a vey ew age bans, howeve, i is ess iey o a ban o behave ieeny wihou impacing couny-eve sensiiviies. The sucua baning vaiabes in he as ou ows o pane A simiay evea a signiican egee o vaiaion acoss counies (o bans chaee by he counies). The ieence beween he cei/eposi aio o Japan an Sween, o exampe, is ove 100 pecen, an whie Sweish bans eun on equiy was 17. pecen, Japanese bans incue osses. The cei/eposi aios aso show ha eposis ae an impoan souce o uning. In ou anaysis, we hus incue he eposi inees ae as an aenaive inicao o uning coss. In ou pane moe esimaions we consie he ime seies an coss seciona vaiaion in coss-couny ening. This anaysis wou no be inomaive i he ening, baance shee, an uning cos vaiabes behave simiay acoss ime an counies. In pane B o Tabe 1 we epo he ime seies an coss seciona vaiaion o ou ey vaiabes. The sana eviaions o boh imensions ae age an oen geae han he mean vaues hus emonsaing a consieabe amoun o vaiaion in ou pane aase. Beow, we uiize his vaiaion o measue an compae he sensiiviies o goba ban ening o he sengh o baance shees an uning coss. 1

16 To esimae equaions (3) an (6) we use he Genea Meho o Momens saegy o Aeano an Bon (1991). We use his meho since i is esigne o ynamic pane moes ha, simia o ous, have a age coss-seciona imension. The mehooogy aso accouns o he unobseve pane-eve ixe/anom eecs, enogeneiy o he inepenen vaiabes, nonsaionaiy o he epenen vaiabe an heps us obain heeoseasiciy-consisen sana eos. In ou esimaions we use he -1 ae inepenen vaiabes as insumens... Resus We epo ou esimaion esus in Tabe. The cena esu hee is ha goba ban oan ows ae posiivey an signiicany eae o he sengh o oca baance shees an negaivey an signiicany eae o he bans uning coss. The posiive (negaive) vaue o he GDP gowh ae (he unempoymen ae) coeicien, epoe in he is ow, impy ha i a couny s GDP inceases (unempoymen ae eceases) moe han he ohe counies in he sampe, she eceives moe oans. On he suppy sie, he negaive coeiciens o he 3-monh an -hou ineban, an eposi aes, aso epoe in he is ow, impy ha i a couny s bans ace highe coss o aising oanabe uns eaive o bans chaee by ohe counies, hey wihaw hei oans a a highe ae. In aiion o hese hee couny-speciic inees aes, we use he aveage aes o he 57 bans mos acivey boowing euos. 9 The esus in he as coumn show ha hese aes ae aso negaivey eae o goba ban ening. The coeiciens o he cono vaiabes (GDP gowh aes an 3-monh ineban aes) ae in genea insigniican, suggesing ha measuing he main vaiabes in eviaiona om is aowing us o eecivey cono o ene an boowe speciic eecs in esimaing equaion (3) an (6), especivey. When we o no measue he vaiabes in eviaiona om, as in he euo ae egessions, we in ha boowe speciic eecs ae signiican. Fo a ou 9 Since he euo ae is no couny-speciic, we measue he oan gowh ae in eves when incuing his ae in ou egessions. 15

17 egessions, iagnosic ess suppo he vaiiy o he insumens (capue by he Sagan es saisic) an o no evea any evience o secon oe seia coeaion in he eo em...1. Compaing he sensiiviy coeiciens In aiion o being saisicay signiican, he sensiiviy coeiciens in Tabe ae aso no negigibe economicay. To uncove he economic impoance o he GDP gowh coeicien in Tabe, o exampe, e s assume ha Begium expeiences a one pecen gowh ae in he pas ou quaes an ha he emaining economies o no gow. The aggegae coeicien vaue o 0.3 hen impies ha goba ban oans in Begium gow 0.3 pecenage poins moe (quaey) han he aveage gowh ae o oans o a counies. Given ha he aveage quaey oan gowh ae in ou sampe is 1.37 pecen, his impies ha he oans in Begium incease appoximaey 16 pecen moe han he aveage ae acoss a counies (5 pecen on an annua basis). A simia hough execise eveas a age economic impac o uning coss. Assume ha among he counies ening o Begium, Canaa is he ony one ha expeiences a one pecen incease in he ineban boowing aes in he pas quaes. Then he coeicien vaue o impies ha Canaa s oan gowh ae in Begium is pecenage poins owe han Begium s aveage oan inow ae, which is 1.37 pecen o he whoe sampe. In ohe wos, whie he aveage couny inceases he oans o Begium by 1.37 pecen, Canaa eceases he oans by 0.9 pecen. Fo he meian economy in ou sampe (Spain, in ems o GDP), 1.87 an 0.3 pecen o he BIS oans coespon o appoximaey 0.19 an 0.0 pecen o quaey GDP. 10 Noice ha ahough he esus so a poin o a age suppy sie eec, he compaison can be miseaing i he inicaos o baance shee sengh an uning coss have ieen means/unis an voaiiies. Speciicay, he coeicien vaue o he inicao wih a highe 10 We use GDP by expeniue in consan pices (005 Doas) an oa BIS oans o an om Spain in ou cacuaions. 16

18 mean an sana eviaion wou be smae. 11 To coec o his poenia bias, we sanaize a he inicaos so ha hey a have a mean o zeo an a sana eviaion o one an esimae ou moes by using hese sanaize vaiabes. The coeicien vaues epoe in he is ow o Tabe 3, by consucion, epesen he oan gowh esponse o a one sana eviaion change in he baance shee an uning cos vaiabes. These esus evea ha he sensiiviy o uning coss is highe compae o he sensiiviy o boowes baance shees. The magniue o he esponse o a one sana eviaion change in he boowes eaive GDP gowh ae an he enes 3-monh ineban boowing ae, o exampe, ae 0.10 an 0.33 pecen, especivey. The same ispaiy is obseve when we use he unempoymen ae an he ohe inees ae vaiabes. The cos o uning is, o couse, no he ony inicao o suppy sie consains. Thee ae ohe chaaceisics o bans such as hei iabiiy sucue, iquiiy, an poiabiiy ha cou aec hei abiiy o en. We use cos o uning in ou baseine anaysis because i was he ony measue ha was avaiabe a a quaey equency o a he counies in ou sampe. A moe compehensive se o measues is avaiabe a he annua equency in he aabase ha we use. As a nex sep, we es whehe suppy sie consains, when capue by aenaive vaiabes, simiay have a age impac on goba ban oans compae o eman sie acos. To mae his compaison, we consuc he annua vaiabes as in Secion.3 an hen sanaize hem as expaine above. The esimae vaues o he ey coeiciens ae epoe in Tabe. 1 In ou moe we use wo ags o he baance shee vaiabes an he numbe in paenhesis ae he F-saisics ha inicae join signiicance. The esus, hough mixe, geneay sugges he pesence o a simia ispaiy beween he sensiiviy coeiciens. The 11 Since we measue GDP gowh in og ieences an inees ae change in pecenages, he unis ae aso ieen. 1 We excue he cono vaiabes coeiciens om Tabe o beviy an since hey wee insigniican. 17

19 baning vaiabes coeiciens, hough no aways signiican, ae consieaby age. In aiion o he inees ae vaiabes (in annua equency), we use he eun on equiy, ne inees magin, an he cos o income aios as inicaos o poiabiiy, an wo aios ha measue iquiiy an eveage (iqui-asses-o-sho-em-iabiiies an capia-o-asses aios). The signs o he signiican coeiciens inicae ha bans en moe when hey ae moe poiabe an eveage. On he baance shee sie, we use he oca nonpeoming-oans-ooa-oans aio an he GDP gowh aes (no eaive o he ohe counies) as aiiona inicaos o baance shee sengh. Ahough he coeiciens o hese vaiabes simiay inicae a posiive eaionship beween baance shee sengh an oan inows, hey oo ae sma in magniue compae o he suppy sie coeiciens an hey ae insigniican.... The eec o compeiion an oeign pesence We pocee by invesigaing hee poenia eeminans o he ening sensiiviies esimae above. Fis, we invesigae he oe o ban compeiion in he boowing counies an as whehe goba bans become moe o ess sensiive o he sengh o baance shees an hei uning coss when hey ace moe/ess compeiion. Secon, we incue couny-speciic ening shaes o eemine whehe counies wih a age shae o he ecipien couny s oan mae exhibi highe o owe sensiiviy o eman an suppy sie vaiabes. We conuc a simia expeimen as a hi sep an es whehe boowing counies wih a highe goba ban pesence (highe goba ban oans o GDP aio) ace highe ening sensiiviy. To incopoae compeiion ino ou anaysis o baance shee eecs, we ineac ieen measues o compeiion wih ou baance shee vaiabes, an incue he ineacion em in ou moe as oows: ~ bs ij bs 1 ~ bs bs ij 1 ~ y bs ij 1 ~ y bs ij comp ~ j5 1 bs bs ij bs ij (7) 18

20 We oow he same mehooogy o exen ou anaysis o he suppy sie eecs: ~ ij 1 ~ ij 1 ~ b ij 1 ~ b ij comp ~ j5 1 cs j ij (8) In equaions (7) an (8), he vaiabe co mp ~ j measues he egee o compeiion in he baning inusy o boowing couny j an evey ohe vaiabe in he wo equaions is consuce simiay (we oow he baseine mehooogy an o no sanaize he vaiabes). Ou baseine compeiion measue, he 3-ban concenaion aio, measues he shae o he hee ages bans asses in oa commecia baning asses an i is avaiabe a he annua equency. By consucion, heeoe, an incease in co mp ~ j impies uhe concenaion an a eeioaion in compeiive conuc. We measue his vaiabe aso in eviaiona om so ha i epesens a couny s eve o compeiion eaive o he aveage eve acoss a he counies. Since his vaiabe is avaiabe a he annua equency, we ineac he quaey baance shee an uning cos vaiabes wih he eve o compeiion obseve in he pevious yea. The esus in Tabe 5 sugges a posiive eaionship beween he egee o compeiion an he sensiiviy o baance shees an uning coss. In paicua, i he op 3 bans in he size isibuion o a couny ae subsaniay age han he ohe bans, goba ban oans in his couny become ess sensiive o oca boowes baance shees an goba bans uning coss. Compaing he wo sies, we obseve a songe eaionship on he eman sie. The ineacion em coeicien in he is coumn, o exampe, impies ha he sensiiviy o GDP gowh aes eceases by appoximaey one-hi when he concenaion aio inceases by one pecenage poin. The.7 pecenage poin ecease in he sensiiviy o unempoymen ae, abei smae, is age compae o he uning cos measues. The coesponing vaues ae 1., 1.3, an 1.1 pecenage poins o he 3-monh an -hou ineban aes, an he eposi ae, especivey. 19

21 We obain simia esus when we use he 5-ban concenaion aio an he Lene inex as aenaive measues o compeiion. The Lene inex is a maup base measue wih highe vaues impying a owe egee o compeiion. The esus in Tabe 6 sugges ha he sensiiviies o boh acos ae owe when hee is ess compeiion. The ineacion em coeiciens simiay inicae a age op in he sensiiviy o boowe baance shees, hough, noice ha he GDP coeiciens ae insigniican when we use he Lene inex. Nex, we epace he compeiion vaiabe in equaions (7) an (8) wih he shae o he ening counies oans in he oa BIS oans mae in he boowing counies. We measue his aio quaey an ineac i wih he baance shee an uning cos vaiabes in he same quae. The esimaion esus ae epoe in he op pane o Tabe 7. Unie he esus in Tabe 6, he eec o ening shae is no uniieciona. Whie bans/counies wih a highe shae in he boowes oan mae ae moe sensiive o hei uning coss, hey ae ess sensiive o he boowes baance shees. We shou poin ou, howeve, ha he eman sie coeiciens ae no age. Fo exampe, he ineacion em coeicien vaue o , impies ha i a ene s shae inceases by 100 pecenage poins, he sensiiviy o he boowe s eaive GDP gowh ae eceases by ony 6. pecen. A simia obsevaion can be mae o he unempoymen ae (a 6.1 pecen ecease). On he suppy sie, he esus ae mixe. Whie he sensiiviy o he 3-monh an hou ineban aes incease by 6.9 an.7 pecen, especivey, when he ene s shae inceases by 100 pecenage poins, he sensiiviy o eposi aes inceases by ony 1.8 pecen. We in a age impac on he enes sensiiviy when we epace he couny-speciic ening shae vaiabe wih an inicao o oeign bans pesence in he boowes oan mae. We capue oeign ban pesence wih he oa oans (amoun ousaning) by nonesien 0

22 bans o boowe s GDP aio. This aio, simia o he compeiion vaiabes, is avaiabe ony a he annua equency. Theeoe, he esimaion mehooogy is he same as he one we use o he compeiion egessions. The esus ae ispaye in he boom pane o Tabe 7. The cena esu is ha wih highe (owe) goba ban pesence, sensiiviy o boh he eman an suppy sie vaiabes is owe (highe). Compae o he couny-speciic ening shae egessions, he size o he coeiciens is age. Fo exampe, i he goba ban oans o GDP aio inceases by ony 1 pecenage poin, sensiiviy o GDP gowh aes an he 3-monh ineban aes eceases by.1 an 1. pecen, especivey. These numbes impy ha i Iay s goba ban oans o GDP aio (wih a sampe aveage o.1 pecen) wee o each he eve o Denma (6.3 pecen), o exampe, he sensiiviy o GDP gowh an 3-monh ineban aes wou ecease by appoximaey 50 an 3 pecen, especivey, o Iay. 3. Ineences om a simpe moe So a, we uncovee a ispaiy beween he sensiiviy o goba ban ening o boowe baance shees an o uning coss an oun ha a highe egee o baning compeiion an oeign ban pesence in he boowing counies have a miigaing eec on he sensiiviies. In his secion, we invesigae mechanisms ha may expain hese empiica esus by buiing an soving a moe o goba ban ening. The ocus o his secion is simiay on he eacion o goba bans o oca baance shee an uning cos shocs The consumes an he poucion pocess The economy is epesene by a -peio OLG moe. The young agens in he moe ae enowe wih a uni o abo an hey o no own capia. Thei abo suppy is ineasic (equa o one) an he shae o hei abo income ha is no consume in peio 1 inances hei peio consumpion, when hey ae o. O agens o no wo. In each goup, he numbe o 1

23 agens is inie an consan an he agens ae ienica. The maximizaion pobem o a epesenaive agen in his economy in peio is hen given by, max (, ) s u c c 1 c c 1 (9) c w s (10) c 1 s (11) whee c, w, s an enoe he amoun o consumpion, abo income, savings an he ae o eun on savings, especivey, an is he powe uncion paamee ha is ess han Subsiuing equaions (10) an (11) ino he uiiy uncion an maximizing wih espec o he amoun o savings yies he oowing savings suppy coniion: 1 s (1) w s whee he young agens equie a highe eposi ae o save moe. The abo sevices o he young agens, h, ae hie by a epesenaive, compeiive im ha combines abo wih capia,, o pouce he ina oupu accoing o he sana neocassica uncion, y h (13) 1 Given ha h 1, he wage ae (abo income), w, an euns o capia,, can be eive om he maximizaion pobem o he im as, w 1 (1) 1 (15) 3.. The enepeneus an he inancia mae 13 We oow Ceoei an Peeo (01) by seing he iscoun aco o 1 an by using a powe uncion o seamine he exposiion. We each simia concusions wih a iscoun aco ess han 1 an a moe sana uncion.

24 The young agens in he economy ae aso he enepeneus. They boow om he inancia mae, conve hei oans ino capia an hen suppy his capia o a compeiive im. The inancia mae consiss o a inie an consan numbe o omesic an oeign/goba bans ( n omesic an n oeign) so ha hee is no eny o exi. Heeae, we ee o he ae as oeign bans o simpiy he exposiion, ahough, i shou be noe ha oeign bans opeae/en gobay in ou moe. In channeing uns o he enepeneus, boh ypes o bans ace icions. Speciicay, a uni o cei can be convee o a uni o capia wih pobabiiy. The convesion is unsuccessu wih pobabiiy 1 an he bans canno ecove any o hei oans. This cei shoc is i.i. acoss he enepeneus so ha j, j j whee j, j an j epesen he amoun o capia, he iiosyncaic cei shoc, an he amoun o oans o enepeneu j. The ims ae inieen o omesic an oeign ban oans as ong as hey ace he same ening ae an capia is ivisibe so ha boh ypes o bans en o he enie popuaion an ivesiy he enepeneu-speciic cei is. I is impoan o noe hee ha he paamee is anaogous o he boowe baance shee sengh in he empiica secion. I boowes have songe baance shees, hey ae ess ie o eau on hei oans an is high. We pocee by escibing he bans opimizaion pobem an expaining how he wo ypes o bans ae ieen. A his poin, howeve, we shou menion ha he bans in he economy ae Couno compeios. Each ban (omesic an oeign), heeoe, simuaneousy chooses is amoun o oans, an when i oes, i nows he oa amoun o ening by he ohe bans. We choose o use Couno compeiion because i aows us o consie he enie specum o compeiive pacices in a saighowa way; by changing he numbe o bans om 1 o, we can capue any egee o compeiion om monopoy o peec compeiion. 3

25 3..1. Domesic bans Domesic bans ae owne by he omesic saves, i.e. geneaion -1 young agens (geneaion o agens), an he savings inance he capia expeniue o geneaion young agens (he enepeneus). The ban ownes anse hei owneship o he nex geneaion young agens when hey ie an hey maximize nex peio s pois. Hee, we assume ha he ban ownes coec baning pois an ha hei eun is epesene by boh he eun on equiy (pois pus he change in he pice o equiy) an he eposi ae as hee is peec abiage beween he wo. Le e n an ij enoe he numbe o enepeneus an omesic ban i s oans o enepeneu j, hen he poi maximizaion pobem o ban i is given by, max ij e n 1 ij ij j1 s.. (16) (17) (18) w whee an epesen he oa amoun o omesic an oeign ban ening, especivey an he oa capia soc in he economy is given by equaion (17). Soving he pobem an aggegaing ove he enepeneus yies he oowing opimaiy coniion: 1 i (19) whee e n i j1 ij an. 1 Accoing o equaion (19), he maup ha omesic bans appy on hei oans epens on he pobabiiy o success,, an he eec o hei oans 1 To simpiy noaion, we omi he supescip om he eivaive o he euns o capia on he igh han sie since he eivaives wih espec o omesic ban an oa oans ae ienica. We o he same o oeign oans. Noice aso ha since he euns o capia expession is inea in enepeneu-speciic oans, he aggegaion ove he enepeneus is saighowa.

26 on he eposi ae an he aggegae euns o capia. The wege beween he ening an he eposi ae inceases when hee is a highe pobabiiy o eau an when ban i s oans subsaniay incease he eposi ae an ecease he euns o capia, especivey Foeign bans Foeign bans obain a o hei uning om ousie o he boowing couny an simiay use hese uns o inance enepeneus capia expeniues. 15 Each oeign ban ens gobay an has posiions in c n counies. In choosing hei couny-speciic maups, he oeign bans ae ino accoun he amoun o ening by he ohe bans in he ecipien couny an hei oans in ohe counies. Le ijm an i enoe oeign ban i s oans o enepeneu j in couny m an is uning ae, especivey, hen is pois, i, can be epesene by, n c n e m 1 mm ijm i ijm (0) i m1 j1 whee m inexes he counies an n e m enoes he numbe o enepeneus in couny m. In maximizing pois, oeign bans ace consains ha ae simia o hose ace by omesic bans. As in equaion (17) he amoun o capia in couny m is he sum o oa oeign an omesic ban oans ( m an m m m m m ) ha ae successuy convee o capia so ha, (1) Unie equaion (18), howeve, he uning coss o oeign bans o no iecy epen on he amoun o omesic savings. These bans obain uning om a ansnaiona capia mae whee boowing aes epen on inancia eveage: 15 I is possibe o aw simia concusions om ou moe i oeign bans aso accep omesic eposis in aiion o aising uns exenay. This assumpion, howeve, geneaes vey compicae opimaiy coniions an consieaby conouns he anaysis. To mae he moe moe acabe, we hus assume ha he oeign bans aise a o hei uning exenay. 5

27 i whee w w n c n m1 j1 m1 j1 e m n c m n e m ijm 1 m ijm is a goba, is ee ae. In he ieaue, he wege beween an () w is usuay geneae by an iiosyncaic ne woh shoc ha can cause bans o eau. 16 To simpiy he anaysis, we assume ha he boowing pemium uncion is inea in eveage. 17 The omuaion in equaion () aows o a eaisic epesenaion o inenaiona shoc ansmission. Speciicay, a shoc o couny m s economy aecs he ohe economies as we an since he poi uncion is sepaabe an capia canno be ansee acoss counies, he ansmission in ou moe opeaes hough oeign bans uning aes. Foeign ban i s poi maximizaion yies he oowing paicipaion coniion in couny m (ae aggegaing ove enepeneus): m 1 m i i m m m im (3) 3.3. Sensiiviy o inena shocs In his secion, we eive he sensiiviy o oeign bans oans in a given couny o he eau pobabiiy ( 1 ) o is boowes. We appoach his secion om he pespecive o a boowing couny. The euns o capia in equaions (19) an (3) ae, hus, ienica an he m subscips can be oppe. We uhe simpiy noaion by opping he ime subscip. To eive he sensiiviy o eau pobabiiy, we begin by ieeniaing he opimaiy coniions in equaions (19) an (3) wih espec o, an. In hese equaions, we 16 Since we o no aemp o cose he moe o aw quaniaive ineences, he eivaion o equaion () is no ciica o ou anaysis. One can, abei, conceive a se o is neua goba invesos who poo hei uns an en o bans. These invesos can be ew in numbe an hus hei consumpion cou be vey sma an negigibe compae o oa consumpion. 17 In moes wih cei icions, boowing speas ae usuay eive om he opimizaion pobem o he ene an he unciona oms ae oen compicae (e.g., Benane e a., 1999). Hee, we simpiy he anaysis by using a inea om. 6

28 7 impose symmey acoss omesic an oeign bans so ha i n, i n, i. The ieeniaions o equaions (19) an (3) yie he oowing wo coniions, especivey: 3 1 () 3 1 (5) whee he coeiciens 1,, 3, 1,, 3 ae given by, n ,, n 3 3, 1 1, n 1 1, n 3 3, an epesens he secon oe ems in he expessions. 18 We assume ha hese secon oe ems ae eaivey sma o simpiy he exposiion. Beoe we pocee, i is convenien a his poin o povie an inepeaion o he coeiciens above. These coeiciens have symmeic impicaions o omesic an oeign bans pois an oans. 3 an 3, boh posiive, measue he eec o on oeign an omesic bans pois om a uni o oans, especivey. In esponse o an incease in (a ecease in he pobabiiy o eau), he bans euns incease no ony because he highe pecenage o successu invesmen pojecs inceases he amoun o capia an hus he euns om capia bu aso because he bans ecove a highe shae o hei oans. On he cos o 18 1 n, n, n 3 1 n, n, n 3

29 uning sie, an incease in pomps a ecease in eposi aes since i aecs wages an he amoun o savings posiivey. A simia negaive eec is obseve o oeign bans since a highe vaue o eceases eveage by inceasing evenues. The as em in he expessions o 3 an 3 epesen he ecease in euns cause by aiiona ening. These negaive eecs ae age when is age an he numbe o bans is sma. The ae obsevaion is ciica o ou anaysis o compeiion an i impies ha as he numbe o bans incease, each ban has a smae impac on he poiabiiy o he pojec. Lening ecisions in maes wih ieen egees o compeiion ae heeoe mae une ieen cicumsances. The coeiciens 1 an capue he magina impac o omesic an oeign bans ening on hei coss. Boh coeiciens ae posiive an as bans en moe, hei coss incease o wo easons: They have o oe highe eposi aes o aac he necessay uning an hei magina euns om he pojec ecease wih each aiiona uni o ening. These eecs ae songe when he mae is ess compeiive since wih ewe bans aiiona oans have a moe subsania eec on bans uning coss an hei euns om he pojec. The o-iagona coeiciens 1 an capue he magina impacs o omesic an oeign ban ening on oeign an omesic bans pois, especivey. The coss-ban ansmission opeaes simiay hough uning coss an magina euns. As omesic ban oans incease, o exampe, oeign bans euns om he pojec ecease, hey become moe eveage an ace highe uning coss ( 1 0 ). By conas, when oeign ban oans incease, omesic bans uning coss (eposi aes) ecease since wages ae highe. Bu omesic bans euns simiay ecease. Fo easonabe vaues, he ome eec ominaes ( 0 ) is negaive i /. This coniion hos o any posiive vaue o eposi aes an oans. 8

30 We obain he symmeic equiibium by equaing he euns om an aiiona uni o ening o he coss incue as in equaions () an (5). The sensiiviy o oeign ban ening o omesic eau shocs can hen be sove o om hese equaions as (6) Fis, noice ha i he ening ecisions o oeign an omesic bans wee ome inepeneny (i hey wee in segmene maes), he secon ems in he numeao an he enominao wou equa zeo. The sensiiviy o oeign ening o eau shocs wou hen be highe, o exampe, i a ecease in eau pobabiiy subsaniay incease he euns ne o uning coss, (i.e., i 3 was age), an he incemena amoun o ening i no cause a age op in he ne magina euns (i.e., i was sma). Wih a posiive enominao, he secon em in he numeao impies ha he omesic bans eacion o he eau shoc has a miigaing eec on oeign bans sensiiviy. I his eec is age enough, oeign ban ening an he sengh o oca baance shees (epesene by ) can even be negaivey eae. Domesic bans have a geae impac on oeign bans eau sensiiviy when hei ening has a age eec on oeign bans uning coss an magina euns om he pojec ( 1 is high), when he sensiiviy o hei ne euns o eau shocs is age eaive o he sensiiviy o hei euns o he amoun o ening ( / 3 1 is high) an when oeign bans eec on hei magina cos o ening (boh in ems o euns an uning coss) is sma compae o hei eecs on hei own coss ( / 1 is ow). To summaize, oeign bans become moe sensiive o he sengh o omesic baance shees i hei euns, ne o uning coss, ae moe sensiive o he pobabiiy o eau an 9

31 ess sensiive o he aiiona amoun o ening compae o omesic bans. In ohe wos, i oeign bans have moe o gain an ess o ose when hee is a posiive baance shee shoc, hei esponse is age in magniue (opposie concusions ae awn o an avese shoc). This moe esponse epens on he mae shae o omesic bans. Fo exampe, i omesic bans aso expec a subsania incease in pois ae a op in eau pobabiiy, an i hei oans consiue a age shae o he mae, he sensiiviy o oeign bans wou be smae. The eason is ha an incease in omesic ban oans, combine wih hei age shae, wou cause he economy o each iminishing euns quicy an hine oeign ban ening. To unesan he eaionship beween compeiion an oeign ban ening, we sepaaey consie he eecs o n an n. Lowe n, o ess compeiion amongs oeign bans, impies a smae 3 an a age an a owe sensiiviy o boowe baance shees. The eason is ha when oeign bans ae smae in numbe, an age in size, hei oans have a bigge impac on he euns o capia an hei cos o uning. Thus any posiive impac o a op in eau pobabiiy, o exampe, wou eoe away ase when hee ae a ew age oeign bans. Convesey, a owe n (ow 3 an a high 1 ) wou impy highe oeign sensiiviy. The mechanism is simia. Domesic bans, when sma in numbe, o no incease hei oans signiicany when eau pobabiiy is owe since hey ace iminishing euns an high uning coss moe quicy. This aows oeign bans o exen a age amoun o oans. Ovea, he eec o compeiion on oeign ening is no saighowa an i epens asymmeicay on he eve o compeiion amongs oeign an omesic bans. 3.. Sensiiviy o exena shocs We pocee by measuing he sensiiviy o oeign ening o wo ypes o exena shocs: An exogenous change in oeign inees aes,, an a change in he eau 30

32 pobabiiy o anohe couny. The ome can be inepee as a goba iquiiy shoc (o a change in w ) ha maes i easie o hae o goba bans o aise oanabe uns. In esponse o he ae shoc, invesmen becomes moe (ess) poiabe in anohe couny an oeign bans incease (ecease) hei ening in a given couny even i he sengh o he baance shees emains unchange. We assume ha he shoc o aecs evey oeign ban symmeicay an ha i oes no aec omesic bans eposi aes. Dieeniaing equaions (19) an (3) wih espec o, an, an soving o he sensiiviy o oeign ening yies he oowing expession: 1 (7) 1 1 whee 1,, 1 an have he same einiions. Noice is ha an incease in oeign inees aes, as expece, pomps a ecease in ening. Since oeign inees aes ae no iecy eae o he euns om he pojec, he size o he sensiiviy coeicien epens on how much he change in ening aecs pois. Fo exampe, i he negaive ening esponse o a posiive inees ae shoc geneaes a subsania incease (ecease) in he oeign bans euns (coss), o i is age, hen is ampiue wou be smae. The magniue o he sensiiviy, simiay, epens negaivey on he eec o omesic bans on oeign ban poiabiiy ( 1 ) an he eaive impac o oeign bans on he omesic bans magina cos o ening (he / aio). 1 When we invesigae he eecs o a eau shoc in a ieen couny, we in a simia expession o he sensiiviy o exena shocs, 31

How To Calculate A Sudy

How To Calculate A Sudy LTA 4/04 P. 404 426 JUHA-PEKKA KALLUNKI, MINNA MARTIKAINEN and HENRIK NILSSON Analys Poession, Accouning Eanings and Sock Reuns: Swedish Evidence ABSTRACT Recen eseach by Liu and Thomas (2000) and Dechow

More information

HUT, TUT, LUT, OU, ÅAU / Engineering departments Entrance examination in mathematics May 25, 2004

HUT, TUT, LUT, OU, ÅAU / Engineering departments Entrance examination in mathematics May 25, 2004 HUT, TUT, LUT, OU, ÅAU / Engineeing depamens Enane examinaion in mahemais May 5, 4 Insuions. Reseve a sepaae page fo eah poblem. Give you soluions in a lea fom inluding inemediae seps. Wie a lean opy of

More information

1. Time Value of Money 3 2. Discounted Cash Flow 35 3. Statistics and Market Returns 49 4. Probabilities 81 5. Key Formulas 109

1. Time Value of Money 3 2. Discounted Cash Flow 35 3. Statistics and Market Returns 49 4. Probabilities 81 5. Key Formulas 109 1. Time Value of Money 3 2. Discouned Cash Flow 35 3. Saisics and Make Reuns 49 4. Pobabiliies 81 5. Key Fomulas 109 Candidae Noe: This is a lenghy Sudy Session ha, along wih Sudy Session 3, you should

More information

HFCC Math Lab Intermediate Algebra - 13 SOLVING RATE-TIME-DISTANCE PROBLEMS

HFCC Math Lab Intermediate Algebra - 13 SOLVING RATE-TIME-DISTANCE PROBLEMS HFCC Mah Lab Inemeiae Algeba - 3 SOLVING RATE-TIME-DISTANCE PROBLEMS The vaiables involve in a moion poblem ae isance (), ae (), an ime (). These vaiables ae elae by he equaion, which can be solve fo any

More information

THE OPPORTUNITY COST OF BEING CONSTRAINED BY THE TYPE OF ASSET: BONDS ONLY OR STOCKS ONLY

THE OPPORTUNITY COST OF BEING CONSTRAINED BY THE TYPE OF ASSET: BONDS ONLY OR STOCKS ONLY Jounal of Applied conomics Vol IX No 2 (Nov 2006) 325-343 OPPORUNIY CO OF BOND ONLY OR OCK ONLY 325 H OPPORUNIY CO OF BING CONRAIND BY H YP OF A: BOND ONLY OR OCK ONLY ALLA A MLKUMIAN Wesen Illinois Univesiy

More information

29 March 2006. Application of Annuity Depreciation in the Presence of Competing Technologies II Telecom New Zealand

29 March 2006. Application of Annuity Depreciation in the Presence of Competing Technologies II Telecom New Zealand 29 Mach 2006 Applicaion of Annuiy Depeciaion in he Pesence of Compeing Technologies II Telecom ew Zealand Pojec Team Tom Hid (Ph.D.) Daniel Young EA Economic Consuling Level 6 33 Exhibiion See Melboune

More information

Analyzing Cost of Debt and Credit Spreads Using a Two Factor Model with Multiple Default Thresholds and Varying Covenant Protection.

Analyzing Cost of Debt and Credit Spreads Using a Two Factor Model with Multiple Default Thresholds and Varying Covenant Protection. Analyzing Cos of Deb an Cei Speas Using a wo Faco Moel wih Muliple Defaul heshols an Vaying Covenan Poecion by S. Lakshmivaahan 1, Shengguang Qian 1 an Duane Sock June 16, 9 1) School of Compue Science,

More information

An Empirical Analysis of the Money Demand Function in India

An Empirical Analysis of the Money Demand Function in India TileAn empiical analysis of he money Auho(s) Inoue, Takeshi; Hamoi, Shigeyuki Ciaion IDE Discussion Pape. No. 166. 2008 Issue Dae 2008-09 URL hp://hdl.handle.ne/2344/783 Righs

More information

March 2002. Report to the ACCC. Working Capital. Relevance for the Assessment of Reference Tariffs. The Allen Consulting Group

March 2002. Report to the ACCC. Working Capital. Relevance for the Assessment of Reference Tariffs. The Allen Consulting Group Mach 00 Repo o he ACCC Woking Capial Relevance fo he Assessmen of Refeence Taiffs The Allen Consuling Goup The Allen Consuling Goup Py Ld ACN 007 06 930 Melboune 4h Floo, 8 Exhibiion S Melboune Vicoia

More information

Securitization of Crossover Risk in Reverse Mortgages. Chou-Wen Wang 1 Hong-Chih Huang 2 Yuan-Chi Miao 3 ABSTRACT

Securitization of Crossover Risk in Reverse Mortgages. Chou-Wen Wang 1 Hong-Chih Huang 2 Yuan-Chi Miao 3 ABSTRACT Secuiizaion of Cossove Risk in Revese Mogages Chou-Wen Wang Hong-Chih Huang Yuan-Chi Miao 3 ABSTRACT When he ousaning balance excees he housing value befoe he loan is sele, he insue suffes an exposue o

More information

Optimal investment and long run underperformance of SEO

Optimal investment and long run underperformance of SEO Opimal invesmen and long un undepefomance of SEO bsac This pape use a eal opion model based on aional picing o explain he sylized eun aound seasoned equiy offeing SEO by opimal invesmen saegy. Manages

More information

Modeling the Yield Curve Dynamics

Modeling the Yield Curve Dynamics FIXED-INCOME SECURITIES Chape 2 Modeling he Yield Cuve Dynamics Ouline Moivaion Inees Rae Tees Single-Faco Coninuous-Time Models Muli-Faco Coninuous-Time Models Abiage Models Moivaion Why do we Cae? Picing

More information

ISLAMIC BANKS PROFITABILITY IN AN INTEREST RATE CYCLE

ISLAMIC BANKS PROFITABILITY IN AN INTEREST RATE CYCLE nenaional Jounal of slamic Financial Sevices, Vol.4, No.2 SLAM BANS PROFTABLTY N AN NTEREST RATE YLE Anoua Hassoune slamic finance elies on he cadinal pinciple of pofi and loss shaing (PLS) beween sakeholdes

More information

The Pricing of Finite Maturity Corporate Coupon Bonds with Rating-Based Covenants

The Pricing of Finite Maturity Corporate Coupon Bonds with Rating-Based Covenants he Picing of Finie Mauiy Copoae Coupon Bonds wih Raing-Based Covenans Ségio Silva Poucalense Univesiy, Pougal e-mail: segios@up.p coesponding auho) José Azevedo Peeia ISEG - echnical Univesiy of Lisbon,

More information

Volatility Structures of Forward Rates and the Dynamics of the Term Structure* Peter Ritchken and L. Sanakarasubramanian

Volatility Structures of Forward Rates and the Dynamics of the Term Structure* Peter Ritchken and L. Sanakarasubramanian Volailiy Sucues o Fowad Raes and he Dynamics o he em Sucue* ypesee: RH 1s poo: 1 Oc nd poo: 3d poo: Pee Richken and L. Sanakaasubamanian Case Wesen Reseve Univesiy; Bea Seans & Co Fo geneal volailiy sucues

More information

Sensitivity Analysis of a Dynamic Fleet Management Model Using Approximate Dynamic Programming

Sensitivity Analysis of a Dynamic Fleet Management Model Using Approximate Dynamic Programming Sensiiviy Analysis of a Dynamic Flee Managemen Model Using Appoximae Dynamic Pogamming HUSEYIN TOPALOGLU School of Opeaions Reseach and Indusial Engineeing, Conell Univesiy, Ihaca, New Yok 14853, USA,

More information

New Zealand s Current Account Deficit: Analysis based on the Intertemporal Optimisation Approach

New Zealand s Current Account Deficit: Analysis based on the Intertemporal Optimisation Approach Febuay 200 New Zealand s Cuen Accoun Defici: Analysis based on he Ineempoal Opimisaion Appoach Kunhong Kim, Viv B. Hall and Robe A. Buckle Absac New Zealand s Cuen Accoun of he Balance of Paymens has been

More information

Valuing Long-Lived Assets

Valuing Long-Lived Assets Valuing Long-Lived Asses Olive Tabalski, 008-09-0 This chape explains how you can calculae he pesen value of cash flow. Some vey useful shocu mehods will be shown. These shocus povide a good oppouniy fo

More information

The pricing analysis of reverse mortgage with redemption option

The pricing analysis of reverse mortgage with redemption option Available online www.jocp.com Jounal of Chemical and Phamaceuical Reseach, 04, 6(6):83-89 Reseach Aicle ISSN : 0975-7384 CODEN(USA) : JCPRC5 The picing analysis of evese mogage wih edempion opion Yanxia

More information

Derivative Securities: Lecture 7 Further applications of Black-Scholes and Arbitrage Pricing Theory. Sources: J. Hull Avellaneda and Laurence

Derivative Securities: Lecture 7 Further applications of Black-Scholes and Arbitrage Pricing Theory. Sources: J. Hull Avellaneda and Laurence Deivaive ecuiies: Lecue 7 uhe applicaios o Black-choles ad Abiage Picig heoy ouces: J. Hull Avellaeda ad Lauece Black s omula omeimes is easie o hik i ems o owad pices. Recallig ha i Black-choles imilaly

More information

Ultraconservative Online Algorithms for Multiclass Problems

Ultraconservative Online Algorithms for Multiclass Problems Jounal of Machine Leaning Reseach 3 (2003) 951-991 Submied 2/02; Published 1/03 Ulaconsevaive Online Algoihms fo Muliclass Poblems Koby Camme Yoam Singe School of Compue Science & Engineeing Hebew Univesiy,

More information

RISK PROFILES OF LIFE INSURANCE PARTICIPATING POLICIES: MEASUREMENT AND APPLICATION PERSPECTIVES

RISK PROFILES OF LIFE INSURANCE PARTICIPATING POLICIES: MEASUREMENT AND APPLICATION PERSPECTIVES 122 Invesmen Managemen and Financial Innovaions, Volume 4, Issue 3, 2007 RIK PROFILE OF LIFE INURANCE PARTICIPATING POLICIE: MEAUREMENT AND APPLICATION PERPECTIVE Albina Olando *, Massimiliano Poliano

More information

Social Networks and Personal Bankruptcy

Social Networks and Personal Bankruptcy Social Newoks and Pesonal Bankupcy Michelle M. Mille Assisan Pofesso Ruges Business School Depamen of Finance and Economics 1 Washingon Pak, Room 1154 Newak, New Jesey 07102 millem@business.uges.edu (973)

More information

Pricing strategy of e-commerce platform under different operational models

Pricing strategy of e-commerce platform under different operational models Picing saegy of e-coece lafo unde diffeen oeaional odels Shuihua Han, Yufang Fu School of Manageen, Xiaen Univesiy, Xiaen, 36000, China Absac: We odel icing saegy unde lafo coeiion wih diffeen e-coece

More information

Pricing Natural Gas in Mexico. Dagobert L. Brito* Juan Rosellon** June, 1999. Abstract

Pricing Natural Gas in Mexico. Dagobert L. Brito* Juan Rosellon** June, 1999. Abstract Picing Naual Gas in Mexico Dagobe L. Bio* Juan Rosellon** June, 999 Absac We sudy mechanisms fo linking he Mexican make fo naual gas wih he Noh Ameican make and show ha he neback ule is he efficien way

More information

Government Institute for Economic Research. Publications 58. Three takes on sustainability

Government Institute for Economic Research. Publications 58. Three takes on sustainability Govenmen Insiue fo Economic Reseach Publicaions 58 Thee akes on susainabiliy Juha Honkaukia (ed.) Publicaions 58 Sepembe 20 VATT PUBLICATIONS 58 Thee akes on susainabiliy Juha Honkaukia (ed.) Valion aloudellinen

More information

Estimation and Comparison of Chained CPI-U Standard Errors With Regular CPI-U Results (2000-2001)

Estimation and Comparison of Chained CPI-U Standard Errors With Regular CPI-U Results (2000-2001) 2003 Join Saisical Meeings - Secion on Suvey eseach Mehods Esimaion and ompaison of hained PI-U Sandad Eos Wih egula PI-U esuls (2000-2001) Owen J. Shoemake U.S. Bueau of Labo Saisics, 2 Mass Ave., NE,

More information

4. International Parity Conditions

4. International Parity Conditions 4. Inernaional ariy ondiions 4.1 urchasing ower ariy he urchasing ower ariy ( heory is one of he early heories of exchange rae deerminaion. his heory is based on he concep ha he demand for a counry's currency

More information

Hedging Portfolios with Short ETFs

Hedging Portfolios with Short ETFs Hedging Pofolios wih Sho EFs hosen Michalik, Deusche Bank AG Leo Schube, Consance Univesiy of Applied Sciences hosen.michalik@deusche-bank.de Schube@HWG-Konsanz.de Documenos de abajo en Análisis Económico.-

More information

Threat of a capital levy, expected devaluation and interest rates in France during the interwar period

Threat of a capital levy, expected devaluation and interest rates in France during the interwar period Thea of a capial levy, expeced devaluaion and inees aes in Fance duing he inewa peiod by Piee-Cyille Haucoeu * and Piee Sicsic ** I. Inoducion The inewa peiod was a ime of gea moneay unes, especially in

More information

A Comparison of an Oligopoly Game and the N-person Iterated Prisoner s Dilemma

A Comparison of an Oligopoly Game and the N-person Iterated Prisoner s Dilemma A opaion of an Oigopoy Gae and he N-peon Ieaed ione Diea Tzai-De Wang, oin Fyfe, and John au Maney Depaen of opuing and Infoaion Sye The Univeiy of aiey, e-ai:wang-ci@paiey.ac.uk fyfe-ci@paiey.ac.uk an-e@paiey.ac.uk

More information

Security Analysts Journal Prize 2005. Factors Driving Correlations Between Fixed Income and Equity Returns Asset Allocation and ALM for Pension Funds

Security Analysts Journal Prize 2005. Factors Driving Correlations Between Fixed Income and Equity Returns Asset Allocation and ALM for Pension Funds ecui Analss Jounal epembe 5 ecui Analss Jounal ize 5 Facos Diving Coelaions eween Fixed Income and Equi Reuns Asse Allocaion and AM fo ension Funds Junichi Iwamoo CMA Chief Reseache ension Reseach Insiue

More information

WHERE HAVE WE COME FROM?...

WHERE HAVE WE COME FROM?... A SOCHASIC ASSE MODEL & CALIBRAION FOR LONG-ERM FINANCIAL PLANNING PURPOSES John Hibbe, Philip Mowbay & Caig unbull June 00 Copyigh 00 Baie & Hibbe Limied Baie & Hibbe Limied is a membe of he Secuiies

More information

Experiment #1: Reflection, Refraction, and Dispersion

Experiment #1: Reflection, Refraction, and Dispersion Expeimen #1: Reflecion, Refacion, and Dispesion Pupose: To sudy eflecion and efacion of ligh a plane and cuved sufaces, as well as he phenomenon of dispesion. Equipmen: Ray Box wih Slis Opical Accessoies

More information

Small Menu Costs and Large Business Cycles: An Extension of Mankiw Model *

Small Menu Costs and Large Business Cycles: An Extension of Mankiw Model * Small enu Coss an Large Business Ccles: An Exension of ankiw oel * Hirana K Nah Deparmen of Economics an Inl. Business Sam Houson Sae Universi an ober Srecher Deparmen of General Business an Finance Sam

More information

MNB WORKING PAPERS. A Structural Empirical Analysis of Retail Banking Competition: the Case of Hungary 2007/1 JÓZSEF MOLNÁR MÁRTON NAGY CSILLA HORVÁTH

MNB WORKING PAPERS. A Structural Empirical Analysis of Retail Banking Competition: the Case of Hungary 2007/1 JÓZSEF MOLNÁR MÁRTON NAGY CSILLA HORVÁTH MNB WORKING PAPERS 2007/1 JÓZSEF MOLNÁR MÁRTON NAGY CSILLA HORVÁTH A Srucura Empirica Anaysis of Reai Banking Compeiion: he Case of Hungary A Srucura Empirica Anaysis of Reai Banking Compeiion: he Case

More information

Chapter 7. Response of First-Order RL and RC Circuits

Chapter 7. Response of First-Order RL and RC Circuits Chaper 7. esponse of Firs-Order L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural

More information

How To Calculate Price Elasiciy Per Capia Per Capi

How To Calculate Price Elasiciy Per Capia Per Capi Price elasiciy of demand for crude oil: esimaes for 23 counries John C.B. Cooper Absrac This paper uses a muliple regression model derived from an adapaion of Nerlove s parial adjusmen model o esimae boh

More information

Finite-Length Analysis of Low-Density Parity-Check Codes on the Binary Erasure Channel

Finite-Length Analysis of Low-Density Parity-Check Codes on the Binary Erasure Channel 1570 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 6, JUNE 2002 Finite-Length Anaysis of Low-Density Paity-Check Codes on the Binay Easue Channe Changyan Di, Student Membe, IEEE, David Poietti,

More information

Terminal Value Techniques in Equity Valuation - Implications of the Steady State Assumption

Terminal Value Techniques in Equity Valuation - Implications of the Steady State Assumption Teminal Value Techniques in quiy Valuaion - Implicaions of he Seay Sae ssumpion Joaim Levin Pe Olsson SS/FI Woin Pape Seies in Business minisaion No 2:7 June 2 sac: This pape examines he coniions necessay

More information

Department of Health & Human Services (DHHS) Centers for Medicare & Medicaid Services (CMS) Transmittal 1151 Date: November 16, 2012

Department of Health & Human Services (DHHS) Centers for Medicare & Medicaid Services (CMS) Transmittal 1151 Date: November 16, 2012 nul ysem ub 100-20 One-Time Noificion Depmen of elh & umn evices (D) enes fo edice & edicid evices () Tnsmil 1151 De: Novembe 16, 2012 hnge eques 8124 UBJT: Use of Q6 odifie fo Locum Tenens by oviding

More information

INFORMATION, INVESTMENT, AND THE STOCK MARKET: A STUDY OF INVESTMENT REVISION DATA OF JAPANESE MANUFACTURING INDUSTRIES

INFORMATION, INVESTMENT, AND THE STOCK MARKET: A STUDY OF INVESTMENT REVISION DATA OF JAPANESE MANUFACTURING INDUSTRIES Discussion Paper No. 681 INFORMATION, INVESTMENT, AND THE STOCK MARKET: A STUDY OF INVESTMENT REVISION DATA OF JAPANESE MANUFACTURING INDUSTRIES Kazuo Ogawa and Kazuyuki Suzuki January 2007 The Insiue

More information

Economics Honors Exam 2008 Solutions Question 5

Economics Honors Exam 2008 Solutions Question 5 Economics Honors Exam 2008 Soluions Quesion 5 (a) (2 poins) Oupu can be decomposed as Y = C + I + G. And we can solve for i by subsiuing in equaions given in he quesion, Y = C + I + G = c 0 + c Y D + I

More information

Continuous Compounding and Annualization

Continuous Compounding and Annualization Continuous Compounding and Annualization Philip A. Viton Januay 11, 2006 Contents 1 Intoduction 1 2 Continuous Compounding 2 3 Pesent Value with Continuous Compounding 4 4 Annualization 5 5 A Special Poblem

More information

Morningstar Investor Return

Morningstar Investor Return Morningsar Invesor Reurn Morningsar Mehodology Paper Augus 31, 2010 2010 Morningsar, Inc. All righs reserved. The informaion in his documen is he propery of Morningsar, Inc. Reproducion or ranscripion

More information

Duration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613.

Duration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613. Graduae School of Business Adminisraion Universiy of Virginia UVA-F-38 Duraion and Convexiy he price of a bond is a funcion of he promised paymens and he marke required rae of reurn. Since he promised

More information

An iterative wave-front sensing algorithm for high-contrast imaging systems *

An iterative wave-front sensing algorithm for high-contrast imaging systems * An ieaive wave-fon sensing algoihm fo high-conas imaging sysems * Jiangpei Dou,, Deqing Ren,,,3 and Yongian Zhu, aional Asonomical Obsevaoies / anjing Insiue of Asonomical Opics & Technology, Chinese Academy

More information

Impact of immigration on wages and employment: Johnson (ILRR, April 1980) Borjas (QJE, Nov 2003) Card (JOLE 2001) Card (ILR, Mariel Boatlift paper)

Impact of immigration on wages and employment: Johnson (ILRR, April 1980) Borjas (QJE, Nov 2003) Card (JOLE 2001) Card (ILR, Mariel Boatlift paper) abo Deman: ecue 7 Ouline: abo eman heoy: mosly fom Hamemesh s Hanbook aicle Impac of immigaion on ages an employmen: Johnson (IRR Apil 980) Bojas (QJE Nov 003) a (JOE 00) a (IR Maiel Boalif pape) Minimum

More information

The Physics of Braking Systems By James Walker, Jr. of scr motorsports. Copyright 2005 StopTech LLC

The Physics of Braking Systems By James Walker, Jr. of scr motorsports. Copyright 2005 StopTech LLC The Physics o Baking Sysems By James Walke, J. o scr moospos Copyigh 005 SopTech LLC Auho s disclaime: mechanical sysems opeaing in he physical wold ae neihe 100% eicien no ae hey capable o insananeous

More information

Product reviews by third parties are growing in popularity. This paper examines when and how a manufacturing

Product reviews by third parties are growing in popularity. This paper examines when and how a manufacturing Vol. 24, No. 2, Sping 2005, pp. 218 240 issn 0732-2399 eissn 1526-548X 05 2402 0218 infoms oi 10.1287/mksc.1040.0089 2005 INFORMS Thi-Paty Pouct Review an Fim Maketing Stategy Yubo Chen Elle College of

More information

Hedging with Forwards and Futures

Hedging with Forwards and Futures Hedging wih orwards and uures Hedging in mos cases is sraighforward. You plan o buy 10,000 barrels of oil in six monhs and you wish o eliminae he price risk. If you ake he buy-side of a forward/fuures

More information

Pricing and Hedging Guaranteed Annuity Options via Static Option Replication 1

Pricing and Hedging Guaranteed Annuity Options via Static Option Replication 1 Picing and Hedging Guaaneed Annuiy Opions via Saic Opion Replicaion Anoon Pelsse Head of ALM Dep Pofesso of Mahemaical Finance Naionale-Nedelanden Easmus Univesiy Roedam Acuaial Dep Economeic Insiue PO

More information

Time value of money Interest formulas Project evaluations Inflation and CPI Financial risk and financing

Time value of money Interest formulas Project evaluations Inflation and CPI Financial risk and financing 2YHUYLHZ )LQDQLDO$QDO\VLV 3ULHU Hioshi Sakamoo Humphey Isiue of ublic Affais Uivesiy of Miesoa Time value of moey Iees fomulas ojec evaluaios Iflaio ad CI iacial isk ad fiacig A5721 Moey - 1 A5721 Moey

More information

Stochastic Optimal Control Problem for Life Insurance

Stochastic Optimal Control Problem for Life Insurance Sochasic Opimal Conrol Problem for Life Insurance s. Basukh 1, D. Nyamsuren 2 1 Deparmen of Economics and Economerics, Insiue of Finance and Economics, Ulaanbaaar, Mongolia 2 School of Mahemaics, Mongolian

More information

Wealth portfolio of Hungarian households Urban legends and facts

Wealth portfolio of Hungarian households Urban legends and facts MNB Occasional Papes 68. 7 GÁBOR VADAS Wealh poolio o Hunaian households Uban leends and acs Wealh poolio o Hunaian households Uban leends and acs Novembe 7 The views expessed hee ae hose o he auhos and

More information

Advance Jounal of Food Science and Technology

Advance Jounal of Food Science and Technology Advance Jounal of Food Science and Technology 5(): 566-57, 03 ISSN: 04-4868; e-issn: 04-4876 Maxwell Scienific Oganizaion, 03 Subied: July 9, 03 Acceped: Augus 03, 03 Published: Decebe 05, 03 Sudy on he

More information

Valuing Bonds and Stocks

Valuing Bonds and Stocks Leaig Objecives 5- Valuig Bods ad Socks 5 Copoae Fiacial Maageme e Emey Fiey Sowe 5- Udesad ypical feaues of bods & socks. Lea how o obai ifomaio abou bods ad socks. Ideify he mai facos ha affec he value

More information

Can World Real Interest Rates Explain Business Cycles in a Small Open Economy? *

Can World Real Interest Rates Explain Business Cycles in a Small Open Economy? * Can Wold Real Inees Raes Explain Business Cycles in a Small Open Economy? * William Blankenau a M. Ayhan Kose b Kei-Mu Yi c July 999 Revised: Novembe 999 Absac: While he wold eal inees ae is poenially

More information

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,

More information

OPTIONS ON PENSION ANNUITY

OPTIONS ON PENSION ANNUITY 06 Invesmen Managemen and Financial Innovaions, Volume 4, Issue 3, 007 OPION ON PNION NNUIY hulamih. Goss *, Rami Yosef **, Ui Benzion *** bsac We inoduce a uoean (eoic) call oion on a ension annuiy. he

More information

Why Did the Demand for Cash Decrease Recently in Korea?

Why Did the Demand for Cash Decrease Recently in Korea? Why Did he Demand for Cash Decrease Recenly in Korea? Byoung Hark Yoo Bank of Korea 26. 5 Absrac We explores why cash demand have decreased recenly in Korea. The raio of cash o consumpion fell o 4.7% in

More information

Answer, Key Homework 2 David McIntyre 45123 Mar 25, 2004 1

Answer, Key Homework 2 David McIntyre 45123 Mar 25, 2004 1 Answer, Key Homework 2 Daid McInyre 4123 Mar 2, 2004 1 This prin-ou should hae 1 quesions. Muliple-choice quesions may coninue on he ne column or page find all choices before making your selecion. The

More information

Distributing Human Resources among Software Development Projects 1

Distributing Human Resources among Software Development Projects 1 Disribuing Human Resources among Sofware Developmen Proecs Macario Polo, María Dolores Maeos, Mario Piaini and rancisco Ruiz Summary This paper presens a mehod for esimaing he disribuion of human resources

More information

The LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero.

The LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero. Poject Decision Metics: Levelized Cost of Enegy (LCOE) Let s etun to ou wind powe and natual gas powe plant example fom ealie in this lesson. Suppose that both powe plants wee selling electicity into the

More information

PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE

PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees

More information

A Note on Using the Svensson procedure to estimate the risk free rate in corporate valuation

A Note on Using the Svensson procedure to estimate the risk free rate in corporate valuation A Noe on Using he Svensson procedure o esimae he risk free rae in corporae valuaion By Sven Arnold, Alexander Lahmann and Bernhard Schwezler Ocober 2011 1. The risk free ineres rae in corporae valuaion

More information

Structural VAR approach to mutual fund cash flows: Net flows, inflows, and outflows

Structural VAR approach to mutual fund cash flows: Net flows, inflows, and outflows Suual VAR appoah o muual fund ash flows: Ne flows, inflows, and ouflows Bong Soo Lee Floida Sae Univesy Yeonjeong Ha, Koea Advaned Insue of Siene and Tehnology Miyoun Paek, Kwangsoo Ko Pusan Naional Univesy

More information

BALANCE OF PAYMENTS. First quarter 2008. Balance of payments

BALANCE OF PAYMENTS. First quarter 2008. Balance of payments BALANCE OF PAYMENTS DATE: 2008-05-30 PUBLISHER: Balance of Paymens and Financial Markes (BFM) Lena Finn + 46 8 506 944 09, lena.finn@scb.se Camilla Bergeling +46 8 506 942 06, camilla.bergeling@scb.se

More information

Chapter 6: Business Valuation (Income Approach)

Chapter 6: Business Valuation (Income Approach) Chaper 6: Business Valuaion (Income Approach) Cash flow deerminaion is one of he mos criical elemens o a business valuaion. Everyhing may be secondary. If cash flow is high, hen he value is high; if he

More information

est using the formula I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the time in years.

est using the formula I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the time in years. 9.2 Inteest Objectives 1. Undestand the simple inteest fomula. 2. Use the compound inteest fomula to find futue value. 3. Solve the compound inteest fomula fo diffeent unknowns, such as the pesent value,

More information

Stock Trading with Recurrent Reinforcement Learning (RRL) CS229 Application Project Gabriel Molina, SUID 5055783

Stock Trading with Recurrent Reinforcement Learning (RRL) CS229 Application Project Gabriel Molina, SUID 5055783 Sock raing wih Recurren Reinforcemen Learning (RRL) CS9 Applicaion Projec Gabriel Molina, SUID 555783 I. INRODUCION One relaively new approach o financial raing is o use machine learning algorihms o preic

More information

Autonomic management of scalable load-balancing for ubiquitous networks

Autonomic management of scalable load-balancing for ubiquitous networks Auonomic managemen of scalable -balancing fo ubiquious newoks Toshio TONOUCHI and Yasuyuki BEPPU Inene Sysems Laboaoies, NEC Copoaion {onouchi@cw, y-beppu@ak}.jp.nec.com Absac. In ubiquious newoks, a lo

More information

Chapter 11: Aggregate Demand II, Applying the IS-LM Model Th LM t

Chapter 11: Aggregate Demand II, Applying the IS-LM Model Th LM t Equilibium in the - model The cuve epesents equilibium in the goods maket. Chapte :, Applying the - Model Th t C ( T) I( ) G The cuve epesents money maket equilibium. M L(, ) The intesection detemines

More information

USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES

USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES Mehme Nuri GÖMLEKSİZ Absrac Using educaion echnology in classes helps eachers realize a beer and more effecive learning. In his sudy 150 English eachers were

More information

PASSAUER DISKUSSIONSPAPIERE

PASSAUER DISKUSSIONSPAPIERE ofolio elecion wih ime onsains and a Raional xplanaion of Insufficien Divesificaion and xcessive ading Amin Dolze/ Benhad iee AAUR DIKUIOAIR Heausgebe: Die Guppe de beiebswischaflichen ofessoen de Wischafswissenschaflichen

More information

DOES TRADING VOLUME INFLUENCE GARCH EFFECTS? SOME EVIDENCE FROM THE GREEK MARKET WITH SPECIAL REFERENCE TO BANKING SECTOR

DOES TRADING VOLUME INFLUENCE GARCH EFFECTS? SOME EVIDENCE FROM THE GREEK MARKET WITH SPECIAL REFERENCE TO BANKING SECTOR Invesmen Managemen and Financial Innovaions, Volume 4, Issue 3, 7 33 DOES TRADING VOLUME INFLUENCE GARCH EFFECTS? SOME EVIDENCE FROM THE GREEK MARKET WITH SPECIAL REFERENCE TO BANKING SECTOR Ahanasios

More information

Ilona V. Tregub, ScD., Professor

Ilona V. Tregub, ScD., Professor Investment Potfolio Fomation fo the Pension Fund of Russia Ilona V. egub, ScD., Pofesso Mathematical Modeling of Economic Pocesses Depatment he Financial Univesity unde the Govenment of the Russian Fedeation

More information

ViVUD: Virtual Server Cluster based View-Upload Decoupling for Multi-Channel P2P Video Streaming Systems

ViVUD: Virtual Server Cluster based View-Upload Decoupling for Multi-Channel P2P Video Streaming Systems ViVUD: Vitua Seve Custe based View-Upoad Decouping fo Muti-Channe P2P Video Steaming Systems Chao Liang and Yong Liu Depatment of Eectica and Compute Engineeing Poytechnic Institute of New Yok Univesity

More information

Capital Gains Taxes and Stock Return Volatility

Capital Gains Taxes and Stock Return Volatility Capial Gains Taxes an Sock Reurn Volailiy Zhonglan Dai Universiy of Texas a Dallas Douglas A. Shackelfor Universiy of Norh Carolina an NBER Harol H. Zhang Universiy of Texas a Dallas Firs version: Augus,

More information

Market Liquidity and the Impacts of the Computerized Trading System: Evidence from the Stock Exchange of Thailand

Market Liquidity and the Impacts of the Computerized Trading System: Evidence from the Stock Exchange of Thailand 36 Invesmen Managemen and Financial Innovaions, 4/4 Marke Liquidiy and he Impacs of he Compuerized Trading Sysem: Evidence from he Sock Exchange of Thailand Sorasar Sukcharoensin 1, Pariyada Srisopisawa,

More information

MACROECONOMIC FORECASTS AT THE MOF A LOOK INTO THE REAR VIEW MIRROR

MACROECONOMIC FORECASTS AT THE MOF A LOOK INTO THE REAR VIEW MIRROR MACROECONOMIC FORECASTS AT THE MOF A LOOK INTO THE REAR VIEW MIRROR The firs experimenal publicaion, which summarised pas and expeced fuure developmen of basic economic indicaors, was published by he Minisry

More information

Chapter 2 Problems. 3600s = 25m / s d = s t = 25m / s 0.5s = 12.5m. Δx = x(4) x(0) =12m 0m =12m

Chapter 2 Problems. 3600s = 25m / s d = s t = 25m / s 0.5s = 12.5m. Δx = x(4) x(0) =12m 0m =12m Chaper 2 Problems 2.1 During a hard sneeze, your eyes migh shu for 0.5s. If you are driving a car a 90km/h during such a sneeze, how far does he car move during ha ime s = 90km 1000m h 1km 1h 3600s = 25m

More information

Dynamic Pricing and Profit Maximization for the Cloud with Geo-distributed Data Centers

Dynamic Pricing and Profit Maximization for the Cloud with Geo-distributed Data Centers Dynamic Picing an Pofit Maximization fo the Clou with Geo-istibute Data Centes Jian Zhao, Hongxing Li, Chuan Wu, Zongpeng Li, Zhizhong Zhang, Fancis C.M. Lau The Univesity of Hong Kong, {jzhao,hxli,cwu,zzzhang,fcmlau}@cs.hku.hk

More information

The Transport Equation

The Transport Equation The Transpor Equaion Consider a fluid, flowing wih velociy, V, in a hin sraigh ube whose cross secion will be denoed by A. Suppose he fluid conains a conaminan whose concenraion a posiion a ime will be

More information

Conceptually calculating what a 110 OTM call option should be worth if the present price of the stock is 100...

Conceptually calculating what a 110 OTM call option should be worth if the present price of the stock is 100... Normal (Gaussian) Disribuion Probabiliy De ensiy 0.5 0. 0.5 0. 0.05 0. 0.9 0.8 0.7 0.6? 0.5 0.4 0.3 0. 0. 0 3.6 5. 6.8 8.4 0.6 3. 4.8 6.4 8 The Black-Scholes Shl Ml Moel... pricing opions an calculaing

More information

WHAT ARE OPTION CONTRACTS?

WHAT ARE OPTION CONTRACTS? WHAT ARE OTION CONTRACTS? By rof. Ashok anekar An oion conrac is a derivaive which gives he righ o he holder of he conrac o do 'Somehing' bu wihou he obligaion o do ha 'Somehing'. The 'Somehing' can be

More information

Present Value Methodology

Present Value Methodology Presen Value Mehodology Econ 422 Invesmen, Capial & Finance Universiy of Washingon Eric Zivo Las updaed: April 11, 2010 Presen Value Concep Wealh in Fisher Model: W = Y 0 + Y 1 /(1+r) The consumer/producer

More information

PRICING MODEL FOR COMPETING ONLINE AND RETAIL CHANNEL WITH ONLINE BUYING RISK

PRICING MODEL FOR COMPETING ONLINE AND RETAIL CHANNEL WITH ONLINE BUYING RISK PRICING MODEL FOR COMPETING ONLINE AND RETAIL CHANNEL WITH ONLINE BUYING RISK Vaanya Vaanyuwatana Chutikan Anunyavanit Manoat Pinthong Puthapon Jaupash Aussaavut Dumongsii Siinhon Intenational Institute

More information

How to recover your Exchange 2003/2007 mailboxes and emails if all you have available are your PRIV1.EDB and PRIV1.STM Information Store database

How to recover your Exchange 2003/2007 mailboxes and emails if all you have available are your PRIV1.EDB and PRIV1.STM Information Store database AnswesThatWok TM Recoveing Emails and Mailboxes fom a PRIV1.EDB Exchange 2003 IS database How to ecove you Exchange 2003/2007 mailboxes and emails if all you have available ae you PRIV1.EDB and PRIV1.STM

More information

Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches.

Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches. Appendi A: Area worked-ou s o Odd-Numbered Eercises Do no read hese worked-ou s before aemping o do he eercises ourself. Oherwise ou ma mimic he echniques shown here wihou undersanding he ideas. Bes wa

More information

Mathematics in Pharmacokinetics What and Why (A second attempt to make it clearer)

Mathematics in Pharmacokinetics What and Why (A second attempt to make it clearer) Mahemaics in Pharmacokineics Wha and Why (A second aemp o make i clearer) We have used equaions for concenraion () as a funcion of ime (). We will coninue o use hese equaions since he plasma concenraions

More information

Department of Health & Human Services (DHHS) Centers for Medicare & Medicaid Services (CMS) Transmittal 442 Date: December 7, 2012

Department of Health & Human Services (DHHS) Centers for Medicare & Medicaid Services (CMS) Transmittal 442 Date: December 7, 2012 nul ysem ub 100-08 edice ogm negiy Depmen of elh & umn evices (D) enes fo edice & edicid evices () Tnsmil 442 De: Decembe 7, 2012 hnge eques 8105 UBJT: Upde fo mendmens, oecions nd Delyed nies in edicl

More information

Analytical Proof of Newton's Force Laws

Analytical Proof of Newton's Force Laws Analytical Poof of Newton s Foce Laws Page 1 1 Intouction Analytical Poof of Newton's Foce Laws Many stuents intuitively assume that Newton's inetial an gavitational foce laws, F = ma an Mm F = G, ae tue

More information

Table of contents Chapter 1 Interest rates and factors Chapter 2 Level annuities Chapter 3 Varying annuities

Table of contents Chapter 1 Interest rates and factors Chapter 2 Level annuities Chapter 3 Varying annuities Table of conens Chaper 1 Ineres raes and facors 1 1.1 Ineres 2 1.2 Simple ineres 4 1.3 Compound ineres 6 1.4 Accumulaed value 10 1.5 Presen value 11 1.6 Rae of discoun 13 1.7 Consan force of ineres 17

More information

Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary

Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary Random Walk in -D Random walks appear in many cones: diffusion is a random walk process undersanding buffering, waiing imes, queuing more generally he heory of sochasic processes gambling choosing he bes

More information

9.3 Surface Area of Pyramids

9.3 Surface Area of Pyramids Page 1 of 9 9.3 Suface Aea of Pyamids and Cones Goa Find the suface aeas of pyamids and cones. Key Wods pyamid height of a pyamid sant height of a pyamid cone height of a cone sant height of a cone The

More information

11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements

11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements Inroducion Chaper 14: Dynamic D-S dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuing-edge

More information

Personal Saving Rate (S Households /Y) SAVING AND INVESTMENT. Federal Surplus or Deficit (-) Total Private Saving Rate (S Private /Y) 12/18/2009

Personal Saving Rate (S Households /Y) SAVING AND INVESTMENT. Federal Surplus or Deficit (-) Total Private Saving Rate (S Private /Y) 12/18/2009 1 Pesonal Saving Rate (S Households /Y) 2 SAVING AND INVESTMENT 16.0 14.0 12.0 10.0 80 8.0 6.0 4.0 2.0 0.0-2.0-4.0 1959 1961 1967 1969 1975 1977 1983 1985 1991 1993 1999 2001 2007 2009 Pivate Saving Rate

More information

Imagine a Source (S) of sound waves that emits waves having frequency f and therefore

Imagine a Source (S) of sound waves that emits waves having frequency f and therefore heoreical Noes: he oppler Eec wih ound Imagine a ource () o sound waes ha emis waes haing requency and hereore period as measured in he res rame o he ource (). his means ha any eecor () ha is no moing

More information

Joint Pricing and Load Balancing for Cognitive Spectrum Access: Non-Cooperation vs Cooperation

Joint Pricing and Load Balancing for Cognitive Spectrum Access: Non-Cooperation vs Cooperation This atice has been accepted fo pubication in a futue issue of this jouna, but has not been fuy edited. Content may change pio to fina pubication. Citation infomation: DOI 0.09/JSAC.204.23609, IEEE Jouna

More information