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Financial Intermediation, Variability and the Development Process*

Luis Carranza BBVA Banco Continental

José E Galdón-Sánchez

London School of Economics and Political Science

The Suntory Centre

Suntory and Toyota International Centres for Economics and Related Disciplines

London School of Economics and Political Science Houghton Street

DEDPS 21 London WC2A 2AE

March 2000 Tel: (020) 7955 6674

* We would like to thank Raouf Boucekkine, César Alonso, Juan Carlos Conesa, Jesús

Fernandez-Villaverde, Maia Güell, Nobu Kiyotaki, and seminar participants at the University of Minnesota Macroeconomics Workshop, the Universidad Carlos III de Madrid, and XVth Latin American Meeting of the Econometric Society, Santiago de Chile, for very useful comments. José E Galdón-Sánchez thanks DGICYT (grant PB94-0378) and the Fundación Caja de Madrid for financial support. Any views expressed in this paper are those of the authors and not necessarily those of the BBVA Banco Continental. The usual disclaimers apply.

CORE Metadata, citation and similar papers at core.ac.uk

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Abstract

In this paper we build a model of financial intermediation that explains the GDP variability pattern of an economy during the development process. In our model, per capita output is more volatile in middle-income economies than in both low and high-income economies. We show that, if the model economy is in the early or in the mature stages of development, multiple equilibria arise. Moreover, we find that in economies with imperfect credit markets, per capita output volatility tneds to be higher than in economies with perfect or non-existent credit markets.

Keywords: Externalities, market imperfections, growth, multiple equilibria, sunspot equilibrium.

JEL Nos.: E00 O11, O16, O40.

© Luis Carranza and José E Galdón-Sánchez. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including  notice, is given to the source.

Contact address: José E Galdón-Sánchez, STICERD, London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK. Email:

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7 Pdunhwv* Ghvfulswlrq dqg Htxloleulxp

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(17)

714 Oderu Pdunhw

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(18)

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715 Fuhglw Pdunhw

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vwrudjh whfkqrorj| jurvv uhwxuq/ l1h1 o|c|n / ;|1

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k x ESc b Ej c |c |nc o|c|n _M ES ' b Ej +48,

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b|nEj|  B| zlwk ' li o|c|n   +49,

(19)

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(20)

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716 Htxloleulxp

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vdwlvi| +:, dqg +;,1 Pdunhw Fohdulqj

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(21)

814 Pxowlsoh Htxloleuld lq wkh Ghyhorsphqw Surfhvv

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+lll,ghfuhdvlqj lq o/ dqg +ly, b: f1

(22)

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(23)

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(24)

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(25)

815 Zdjhv/ Lqwhuhvw Udwhv dqg Hqwuhsuhqhxuvkls

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(26)

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(27)

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(28)

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(29)

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(30)

Y Eb

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(31)

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T1H1G1

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(32)

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(33)

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2 E  }  K }b6- E

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} '   } K/ zh kdyh wkdw= YT Eb E Y ' 2 #     B $ # B  n Yb6E Y $ f +6<, Wklv lv wuxh vlqfh lw fdq eh vkrzhg wkdw Yb6E Y $ 4 dv  $ 1 Qrz/ li  lv forvh wr 2/ dqg qrwlqj wkdw YbY6E $ f dv  $ 2/ zh kdyh wkdw= YT Eb E Y ' 2 E   B  : f +73, T1H1G1

Surri ri W khruhp 9= Dvvxph/ zlwkrxw orvv ri jhqhudolw|/ wkdw f 1 Wkhq

b ' f1 Vlqfh },EB : / wkhq zlwk srvlwlyh suredelolw| b2 ' B : b ' f1

E| lqgxfwlrq/ zh fdq frqvwuxfw lqfuhdvlqj vhtxhqfhv iru b| dqg |/ zlwk srvlwlyh

suredelolw|1 Vlqfh ,rEb lv ghfuhdvlqj lq b/ },E,r lv ghfuhdvlqj lq ,r/ dqg },E0 $ 4

dv 0 $ f/ dw vrph srlqw / jlyhq b /   B1 Li vxfk b h{lvwv zlwk srvlwlyh suredelolw|/

wkhq b n '  zlwk wkh vdph suredelolw|1 Rqfh wkh hfrqrp| uhdfkhv wklv vwdjh/ iru

(34)

Wkh ehkdylru ri wkh lqwhuhvw udwh lv dv iroorzv1 Li b|n ' - E|/ wkhq o|c|n '

ofE- E|1 Li b|n - E|/ wkhq o|c|n ' 1 Li - E| : / wkhq b|n '  dqg

o|c|n' 1 T1H1G1

Surri ri Sursrvlwlrq :=

+l, Mxvw qrwh wkdw wkh htxloleulxp zloo eh jlyhq e|= b|n ' 4@

q B|  r > o|c|n ' o,  B|   li B|   dqg o|c|n '  li B|  > dqg |n ' s,  ,@  B|   cB|   1 Doo wkh yduldeohv ghshqg rq mxvw |1 +ll, Dvvxph/ zlwkrxw orvv ri jhqhudolw|/ wkdw f ' f1 Wkhq/ vlqfh  : f/ zh kdyh b2 : b1 Zh fdq frqwlqxh wklv uhdvrqlqj e| lqgxfwlrq1 Li |3 | B/ wkhq

b| b|n1 Vlqfh ,rEb lv ghfuhdvlqj lq b/ },E,rEb lv ghfuhdvlqj lq ,r/ dqg },E0 $ 4

dv 0 $ f/ dw vrph srlqw |  B1 Wkhq/ b|n'  dqg |n ' s,EBc 1 Wkhq/ iru dq| |  n / b| ' bW dqg | ' W1 Qrwlfh wkdw o|c|n ' o,  B|   lv vwulfwo| lqfuhdvlqj zkhq | B1 Wr suryh wklv/ mxvw qrwh wkdw YYb@Eb : f dqg YYbrEb f1 Zkhq | : B/

o|c|n ' 1 Wklv gudvwlf fkdqjh lq wkh lqwhuhvw udwh lv dvvrfldwhg wr d fkdqjh lq wkh

uhjlph= iurp d frqvwudlqhg wr dq xqfrqvwudlqhg hfrqrp|1 T1H1G1 Surri ri Sursrvlwlrq ;=

+l, Vlqfh/ e| dvvxpswlrq/ s E,c f   : } E, iru doo ,> doo wkh djhqwv zlwk zhdowk

juhdwhu wkdq  +l1h1 zlwk delolw| juhdwhu wkdq 

|, zloo sd| wkh hqwu| frvw dw | dqg ehfrph hqwuhsuhqhxuv dw | n 1 Wkhq= b|n '   M #  | $ +74,

Jlyhq b|n/ wkhq |n'  Eb|n/ zkhuh  Eb lv wkh ixqfwlrq ghqhg lq Sursrvlwlrq 51

+ll, Qrwh wkdw/ lq htxdwlrq +74,/ b|n lv dq lqfuhdvlqj ixqfwlrq ri |1 Dovr/  Eb

lv dq lqfuhdvlqj ixqfwlrq ri b1 Jlyhq wkh frqglwlrq iru jurzwk lq wklv hfrqrp|/  ' },EB : q1 Wkhq/ b2 '   M

 

},EB 

: b ' f1 Iroorzlqj e| lqgxfwlrq/ zh fdq

hvwdeolvk lqfuhdvlqj vhtxhqfhv iru b| dqg | zkhq | k1 Vlqfh ,rEb lv ghfuhdvlqj

dqg },E0 $ 4 dv 0 $ f/ wkhuh h{lvwv vrph qlwh dw zklfk |  k1 Iurp wkhq rq/

b|'  ' bW/ iru doo |/ dqg |' s,EBc  ' W/ iru doo |1 T1H1G1

UHIHUHQFHV

Dfhprjox/ G1 dqg I1 ]lolerwwl +4<<:,/ Zdv Surphwkhxv Xqerxqg e| FkdqfhB Ulvn/ Glyhuvlfdwlrq dqg Jurzwk/ Mrxuqdo ri Srolwlfdo Hfrqrp|/ yro1 438/ Qr1 7/ ss1 :3<0:841

(35)

Djklrq/ S1/ D1 Edqhumhh dqg W1 Slnhww| +4<<<,/ Gxdolvp dqg Pdfurhfrqrplf Yrodwlolw|/ Txduwhuo| Mrxuqdo ri Hfrqrplfv/ yro1 447 +7,/ ss1 468<046<:1

Duurz/ N1 +4<95,/ Wkh Hfrqrplf Lpsolfdwlrqv ri Ohduqlqj e| Grlqj/ Uhylhz ri

Hfrqrplf Vwxglhv/ yro1 5</ ss1 48804:61

Dxpdqq/ U1 +4<;:,/ Fruuhodwhg Htxloleulxp dv dq H{suhvvlrq ri Ed|hvldq Udwlr0 qdolw|/ Hfrqrphwulfd/ yro1 88/ ss1 404;1

Edqhumh/ D1Y1 dqg D1I1 Qhzpdq +4<<6,/ Rffxsdwlrqdo Fkrlfh dqg wkh Surfhvv ri Ghyhorsphqw/ Mrxuqdo ri Srolwlfdo Hfrqrp|/ yro1 434/ ss1 5:705<;1

Ehqflyhqjd/ Y1 dqg E1 Vplwk +4<<4,/ Ilqdqfldo Lqwhuphgldwlrq dqg Hqgrjhqrxv Jurzwk/ Uhylhz ri Hfrqrplf Vwxglhv/ yro18;/ ss1 4<8053<1

Fduudq}d/ O1 +4<<8,/ Fuhglw Lpshuihfwlrqv/ Lqhtxdolw| dqg Hfrqrplf Jurzwk/ Fhq0 whu iru Hfrqrplf Uhvhdufk Glvfxvvlrq Sdshu Qr1 5;9/ Xqlyhuvlw| ri Plqqhvrwd1

Fkdul/ Y1Y1/ S1 Nhkrh dqg H1 PfJudwwdq +4<<9,/ Sryhuw| ri Qdwlrqv= D Txdqwl0 wdwlyh H{sorudwlrq/ QEHU Zrunlqj Sdshu/ Qr1 87471

Frrshu/ U1 dqg M1 Hmdutxh +4<<8,/ Ilqdqfldo Lqwhuphgldwlrq dqg wkh Juhdw Ghsuhv0 vlrq= D Pxowlsoh Htxloleulxp Lqwhusuhwdwlrq/ Fduqhjlh0Urfkhvwhu Frqihuhqfh Vhulhv

rq Sxeolf Srolf|/ yro1 76/ ss1 5;806571

Gh Orqj/ M1 dqg O1 Vxpphuv +4<;7,/ Wkh Fkdqjlqj F|folfdo Yduldelolw| ri Hfr0 qrplf Dfwlylw| lq wkh Xqlwhg Vwdwhv/ QEHU Zrunlqj Sdshu Qr1 47831

Hqflforségld Eulwdqqlfd +4<<<,1

Jdoru/ R1 dqg M1 ]hlud +4<<6,/ Lqfrph Glvwulexwlrq dqg Pdfurhfrqrplfv/ Uhylhz

ri Hfrqrplf Vwxglhv/ yro1 93/ ss1 680851

Kdqvhq/ J1G1 +4<;9,/ Jurzwk dqg Ioxfwxdwlrqv/ Zrunlqj Sdshu/ Xqlyhuvlw| ri Fdoliruqld/ Vdqwd Eduedud1

Kçugoh/ Z1 +4<<3,/ Dssolhg Qrqsdudphwulf Uhjuhvvlrq1 Hfrqrphwulf Vrflhw| Prqr0 judskv1 Fdpeulgjh Xqlyhuvlw| Suhvv1

Ohylqh/ U1 +4<<:,/ Ilqdqfldo Ghyhorsphqw dqg Hfrqrplf Jurzwk= Ylhzv dqg Djhqgd/ Mrxuqdo ri Hfrqrplf Olwhudwxuh/ yro1 68/ ss1 9;;0:591

Oxfdv/ U1 +4<;;,/ Rq wkh Phfkdqlfv ri Hfrqrplf Ghyhorsphqw/ Mrxuqdo ri Prq0

hwdu| Hfrqrplfv/ yro1 55/ ss1 60751

PfJudwwdq/ H1 dqg M1 Vfkplw} +4<<;,/ H{sodlqlqj Furvv0Frxqwu| Lqfrph Glhu0 hqfhv/ Ihghudo Uhvhuyh Edqn ri Plqqhdsrolv/ Vwd Uhsruw Qr1 5831

Phqgr}d/ H1 +4<<8,/ Wkh Whupv ri Wudgh/ wkh Uhdo H{fkdqjh Udwh/ dqg Hfrqrplf Ioxfwxdwlrqv/ Lqwhuqdwlrqdo Hfrqrplf Uhylhz/ yro1 69/ Qr1 4ss1 434046:1

(36)

Sduhqwh/ V1 dqg H1 Suhvfrww +4<<7,/ Eduulhuv wr Whfkqrorj| Dgrswlrq dqg Ghyho0 rsphqw/ Mrxuqdo ri Srolwlfdo Hfrqrp|/ yro1 435/ ss1 5<;06541

Txdk/ G1 +4<<6,/ Hpslulfdo Furvv0vhfwlrq G|qdplfv lq Hfrqrplf Jurzwk/ Hxur0

shdq Hfrqrplf Uhylhz/ yro16:/ ss1 75907671

Udph|/ J1 dqg Y1 Udph| +4<<8,/ Furvv0Frxqwu| Hylghqfh rq wkh Olqn Ehwzhhq Yrodwlolw| dqg Jurzwk/ Dphulfdq Hfrqrplf Uhylhz/ yro1 ;8/ Qr1 8/ ss1 446;044841

Urphu/ F1 +4<;9,/ Lv wkh Vwdelol}dwlrq ri wkh Srvwzdu Hfrqrp| d Iljphqw ri wkh GdwdB/ Dphulfdq Hfrqrplf Uhylhz/ yro1 :9/ ss1 64706671

Urphu/ S1 P1 +4<;9,/ Lqfuhdvlqj Uhwxuqv dqg Orqj0Uxq Jurzwk/ Mrxuqdo ri Sr0

olwlfdo Hfrqrp|/ yro1 <7/ Qr1 8/ ss1 43350436:1

Vrujhu/ J1 +4<<7,/ Rq wkh Vwuxfwxuh ri Udpvh| Htxloleulxp= F|fohv/ Lqghwhupl0 qdf|/ dqg Vxqvsrwv/ Hfrqrplf Wkhru|/ yro1 7/ ss1 :780:971

Vshdu/ V1 +4<<4,/ Jurzwk/ H{whuqdolwlhv/ dqg Vxqvsrwv/ Mrxuqdo ri Hfrqrplf Wkh0

ru|/ yro1 87/ ss1 54805561

Vxpphuv/ D1 dqg U1 Khvwrq +4<<4,/ Wkh Shqq Zruog Wdeoh +Pdun 8,= Dq H{0 sdqghg Vhw ri Lqwhuqdwlrqdo Frpsdulvrqv/ 4<8304<;;/ Txduwhuo| Mrxuqdo ri Hfrqrplfv/ yro1 439/ ss1 65:069;1

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References

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