International Financial Liberalization, Corruption, and Economic Growth

Size: px
Start display at page:

Download "International Financial Liberalization, Corruption, and Economic Growth"

Transcription

1 Review of Iteratioal Ecoomics 9(4) Iteratioal Fiacial Liberalizatio Corruptio ad Ecoomic Growth Fracisco L. Rivera-Batiz* Abstract This paper examies the effects of capital accout liberalizatio o the log-ru growth of a developig ecoomy. A geeral-equilibrium edogeous growth model is costructed i which corruptio forms a itegral part of the goverace system of the coutry. By udermiig the profitability of iovatios corruptio lowers the rate of retur to capital ad reduces the rate of techological chage. The impact of iteratioal fiacial liberalizatio o log-ru growth i this model ca be either positive or egative. A drop i growth is obtaied whe the level of corruptio is high eough to cause domestic rates of retur to capital before liberalizatio to drop below those i the rest of the world. I this case liberalizatio geerates capital outflows which act as a costraiig force o iovatio reducig the rate of techological chage ad lowerig output growth. O the other had if the level of corruptio is sufficietly low the capital accout liberalizatio will serve as a boost to the coutry s techical chage ad growth. 1. Itroductio The globalizatio of capital markets i recet years has led to a historical degree of fiacial itegratio i the world. As Obstfeld (1998 p. 11) remarks: the worldwide tred of fiacial opeig i the 1990s has restored a degree of iteratioal capital mobility ot see sice this cetury s begiig. Associated with this globalizatio has bee a worldwide process of capital accout liberalizatio. I idustrialized coutries the elimiatio of restrictios o capital flows accelerated i the 1980s ad 1990s begiig with Margaret Thatcher s reforms i the Uited Kigdom cotiuig with Japa s liberalizatio of capital iflows ad outflows i the early 1980s ad edig with the Europea Commuity elimiatio of itra-commuity barriers to capital flows i the 1990s. Amog developig coutries liberalizatio efforts accelerated i the 1990s with coutries from Mexico to Korea elimiatig major barriers to iteratioal trade i assets. 1 The icreased global fiacial itegratio has resulted i substatial capital iflows i emergig markets. But despite this overall expasio may developig atios have ot shared i the icreased capital iflux. For example i 1998 the Lati America ad Caribbea regio together with the Europe ad Cetral Asia regio received $87 billio i et private capital iflows excludig foreig direct ivestmet (FDI). But i sub-sahara Africa this balace was egative that year with the regio sufferig a et private capital outflow of $1 billio. I fact aside from FDI private capital flows to sub-sahara Africa were either egative or egligible durig the 1980s ad As a result massive amouts of the wealth owed by Africa residets lies ivested elsewhere i the world. Collier et al. (1999) estimate that as much as 39% of the private wealth of the sub-sahara Africa regio i 1990 was held abroad. I recet years Africa coutries from Cameroo ad Nigeria to South Africa have experieced sustaied capital outflows (see Ajayi ad Kha 2000). *Rivera-Batiz: Room 1033 Iteratioal Affairs Buildig Columbia Uiversity New York NY USA. Tel: +1 (212) ; Fax: +1 (212) ; FLR9@Columbia.edu. The author is idebted to two referees for their valuable commets. 108 Cowley Road Oxford OX4 1JF UK ad 350 Mai Street Malde MA USA

2 728 Fracisco L. Rivera-Batiz The experiece of capital flight is ot restricted to coutries i sub-sahara Africa. The situatio applies also to a umber of coutries i Lati America ad the Caribbea as well as i trasitio ecoomies. 2 For example whe both officially recorded ad urecorded capital flows are take ito accout capital flight from some former Soviet Republics was extesive i the 1990s. Some studies estimate Russia private capital flight to have totaled $150 billio betwee 1992 ad 1999 (Cooper ad Hardt 2000; Abalki ad Whalley 1999). These capital outflows acted as substitutes for the massive capital iflows associated with iteratioal orgaizatios such as the IMF ad the World Bak. This paper provides a theoretical framework to examie how capital flight may be stimulated by the liberalizatio of a developig coutry s iteratioal fiacial trasactios. It the studies the effects of the capital outflows o the log-ru growth of the ecoomy. A geeral-equilibrium edogeous growth model is costructed i which corruptio forms a part of the coutry s ecoomic eviromet. Corruptio is assumed to act as a tax o the firms ad etrepreeurs iovatig desigig ad producig ew goods i the ecoomy. This reduces the ecoomy s rate of techological chage ad lowers the domestic rate of retur to capital. I this cotext the paper shows that the impact of iteratioal fiacial liberalizatio o log-ru growth ca be either positive or egative. A drop i growth is obtaied whe the level of corruptio is high eough to cause domestic rates of retur to capital before liberalizatio to drop below those i the rest of the world. Opeig the capital accout i this case geerates capital flight which causes the ecoomy s iovatio sector to cotract reducig the rate of techological chage ad causig output growth to declie. O the other had if the level of corruptio i the ecoomy is sufficietly low the capital accout liberalizatio will act to boost the coutry s techological chage ad growth. The ext sectio of the paper presets the edogeous growth model i the presece of corruptio. Iitially the ecoomy is assumed to be closed to iteratioal fiacial trasactios. Sectio 3 examies the growth effects of opeig the coutry to iteratioal trade i assets. The last sectio discusses the coclusios ad policy implicatios of the aalysis. 2. A Model of a Small Ope Ecoomy i the Presece of Corruptio A substatial literature has developed over the past few years examiig the sources ad cosequeces of corruptio. A wide array of variables have bee liked to corruptio icludig the (low) salaries received by civil servats the availability of ecoomic rets from which bribes ca be extracted ad the uder-developmet of the coutry s legal system amog may other variables. 3 I additio empirical work has emerged presetig cross-coutry data o the level of corruptio ad examiig the impact of corruptio o developmet. Most of these studies show a sigificat egative relatioship betwee corruptio ad various measures of ecoomic welfare icludig per capita icome icome equality ad GDP growth. 4 The model costructed i this paper seeks to capture the situatio of a developig coutry where corruptio forms a itegral part of the ecoomic system. Corruptio acts as a tax o the firms ad etrepreeurs iovatig desigig ad producig ew goods i the ecoomy. We assume that for each ew good to be produced ad sold a licese must be obtaied ad a govermet official must approve it. Although this may techically be costless paperwork activity officials are assumed to ask applicats for bribes i order to grat their approval. Govermet officials receive civil service

3 FINANCIAL LIBERALIZATION CORRUPTION AND GROWTH 729 icome that is egligible compared with the bribes; for simplicity this legitimate source of icome is assumed to be zero. The corrupt officials seek to maximize their expected icome by settig a kickback or bribery tax rate t expressed as a proportio of the reveues received by producers of ew goods i the coutry. They are free to set this rate subject to two costraits: the size of the tax base which depeds o the reveues made by producers of ew goods R ad a probability that the bribery scheme will be dismatled q. Both the reveue base ad the probability of the corruptio scheme breakig-dow are assumed to deped o the bribery tax rate. The reveues made by producers are assumed to declie with higher bribery tax rates. The probability of the corrupt regime beig dismatled rises with the rate t. As the bribery tax rates rise those beig taxed are more likely to fid it i their iterest to obtai the political capital to chage the goverace system i the coutry so as to eradicate corruptio. Uder the assumptios corrupt officials will seek to maximize their expected gai from bribes G which is equal to G = ( 1 -q) tr( t) (1) with all symbols as defied before (ote that the expected gai to the officials if the system is dismatled is zero). The first-order coditio for the maximizatio of G results i the followig expressio for the equilibrium bribe tax rate i the ecoomy: ( 1- q) ( 1- e) t* = q (2) where e =-(t/r)( R/ t) is the elasticity of producers reveues to the bribery tax rate (0 < e < i) ad q =dq/dt < 0 is the derivative of the probability of the corruptio regime bee dismatled with respect to the tax rate. Equatio (2) suggests that the bribery tax rate which maximizes the corrupt officials gai G will icrease whe: (1) the producers reveue fuctio is relatively more ielastic with respect to the bribery tax rate (2) the probability that the corrupt regime will be dismatled drops ad (3) a rise of the bribery tax rates has a smaller impact o the probability that the corrupt regime will me dismatled. The corruptio module just discussed is ow itroduced ito a geeral-equilibrium edogeous growth model. Cosider a ope ecoomy tradig i fial goods with the rest of the world. 5 Iitially the coutry is assumed to be closed to iteratioal fiacial trasactios. The ext sectio examies the case whe fiacial liberalizatio allows iteratioal trade i assets to occur. The ecoomy produces two fial goods X ad Y whose prices are determied exogeously (P x ad P y are exogeous). Sector X utilizes both physical ad huma capital ad is assumed to be a huma-capital itesive sector whose productio fuctio is of the Cobb Douglas type give by X = I x b H x 1-b (3) where X is the output of good X H x is the iput of huma capital b is a positive fractio ad I x is a sub-productio fuctio give by I x = Ê Zix Ë Á ˆ Â a i= 1 1 a (4)

4 730 Fracisco L. Rivera-Batiz where a is a positive fractio ad Z ix represets the use of physical capital good i i sector X where each Z ix is assumed to be slightly differetiated from other capital goods the total umber of which is at ay give momet i time. Note that each capital good eters symmetrically the sub-productio fuctio i equatio (4). O the assumptio that all Z ix are idetical the ( 1-a) a Ix = Zx (5) where Z x = Z ix represetig the total quatity demaded of capital goods by sector X. Substitutig equatio (5) ito (3) yields X = g Z b x H 1-b x (6) where g = b(1 - a)/a. This shows that productio of good X is a fuctio of the quatities of physical ad huma capital used i productio Z x ad H x ad the umber of capital goods available i the ecoomy. This type of productio relatioship where the parameter A = g represets a techology parameter that icreases with the umber of capital goods available for productio is derived from Romer (1990a) ad edogeizes techological chage by coectig it to the umber of capital goods. Sector Y produces a commodity that is itesive i uskilled labor ad its productio fuctio is give by Y = I b y L 1-b y (7) where Y is output L y is the iput of uskilled labor b is as defied earlier ad I y is a sub-productio fuctio give by I y = Ê Ziy Ë Á ˆ Â a i= 1 1 a with a as defied earlier ad with Z iy represetig the use of physical capital good i i sector Y. Followig the same assumptios made i relatio to equatio (5) we ca combie equatios (7) ad (8) ito Y = g Z b y L 1-b y (9) where Z y = Z iy is the total demad for capital i sector Y. Both fial goods sectors are assumed to fuctio i perfectly competitive markets. Firms miimizig costs of productio i these sectors will set price equal to uit costs as give by -g Px = Cx( WH PZ) (10) -g Py = Cy( WL PZ) (11) where C x ad C y are the uit cost fuctios i sectors X ad Y respectively W H is the wage rate of skilled labor or huma capital W L is the wage rate of uskilled labor ad P Z is the price of each capital good (all capital goods will have the same price as determied from the symmetry of the demad for ad supply of each capital good to be established ext). The productio fuctio for each capital good is give by Z i = HziL a 1-a zi (12) where H zi is the demad for huma capital i the firm producig capital good i L zi is the demad for uskilled labor used by each firm ad the expoet a is a positive fractio. (8)

5 FINANCIAL LIBERALIZATION CORRUPTION AND GROWTH 731 The profit of each capital goods producer is ( 1 *)- +. p I = PZ Z i -t WL L zi W H H zi Assumig that each firm maximizes profits the followig first-order coditios are obtaied: aa( 1 - t* ) P Z = W H Z i H zi ( 1- a) a ( 1- t* ) P Z = W L. From these two equatios oe ca derive that ap ( 1 - t* )= C ( W W ) Z Z L H where C Z is the uit cost of productio for each firm i the capital goods sector. Note that corruptio acts as a tax o capital goods producers reducig the effective price P Z that they receive per uit of the good sold. The greater the level of corruptio as represeted symbolically by a icrease i t the greater the tax. I a small ope ecoomy tradig i fial goods (but ot capital goods which remai otraded) the P x ad P y are both fixed by world markets. Give the umber of capital goods ad the prices of fial goods P x ad P y the equatios (2) (10) (11) ad (16) costitute a system of four equatios i four variables W L W H P Z ad t*. I a dyamic ecoomy will rise. I will discuss shortly the forces geeratig icreases i. But if we deote the steady-state growth rate of the umber of capital goods by g the equatios (10) (11) ad (16) imply that the wages of skilled ad uskilled labor as well as the prices of capital goods will all rise at the rate gg. I additio sice i a steady state the usage of iputs will ot be shiftig across sectors X ad Y the X ad Y will also grow at the steady-state rate g g. Cosequetly the ecoomy s aggregate output growth rate will also equal g g. The icrease i the umber of capital goods determies the log-ru growth rate. How are ew capital goods created? Followig the literature (Romer 1990a; Grossma ad Helpma 1991ab) we assume that ew capital goods are created by a research or techology sector that uses huma capital ad has the followig productio fuctio: d dt = = H a where H is the iput of huma capital i the techology sector ad a is a exogeous parameter that reflects the productivity of huma capital i geeratig ew capital goods with lower values of a represetig greater productivity. Give this productivity parameter equatio (17) suggests that the creatio of ew capital goods is positively related to the quatity of huma capital used by the techology/research sector ad to the existig umber of capital goods. The latter represets the fact that as rises the existig ideas available for iovators to geerate ew products icreases stimulatig iovatio ad as a result the umber of capital goods created (for more details see Romer 1990a). Note that from equatio (17): g = ( )= ( H a ). Z i L zi This meas that the rate of growth of ew capital goods which is directly related to the rate of growth of the ecoomy is determied by the amout of huma capital allocated to the research/techology sector. The ext step is to specify the equilibrium value of H. (13) (14) (15) (16) (17) (18)

6 732 Fracisco L. Rivera-Batiz The rate of retur o producig a ew capital good r is composed of the capital gai o the value of the capital good plus the divided rate: r = V V + p V where V is the value of a ew capital good V = dv/dt ad p deotes the profit obtaied from the productio of a capital good so that p/v is the divided rate. The value of a ew capital good is equal to the cost of producig the ew capital good which is give by V = ( W H )= ( W a ). From this oe derives that the capital gai the gai i the value of a ew capital good is give by Substitutig equatio (21) ito (19) yields r = W W - + p V. H H H VV = W W -. H H H But the profits i the productio of each capital good are p = PZ- C Z = 1-a( 1 -t*) PZ where we have made use of equatio (16). Utilizig equatios (14) (20) ad (23) we ca the modify equatio (22) ito r = W H WH - + [ 1-a( 1-t * )] HZ aa( 1- t * ) a = ( g -1) g+ 1-a( 1-t* ) H aa( 1 t* ) a (24) where H Z = H iz. Use has bee made of the fact that at the steady state skilled labor wages rise at the rate g g ad the umber of capital goods at the rate g. Equatio (24) determies the rate of retur o ew capital goods. But this relatioship icludes as a variable the total amout of huma capital used i the capital goods sector H Z. To solve the model we thus eed to itroduce the huma capital edowmet costrait (19) (20) (21) (22) (23) H + H x + H Z = H. (25) Usig equatios (14) (15) ad (18) ad some derivatios we ca trasform equatio (25) ito ga H + bh Z = H (26) where b = [(1 - b) + baa(1 + l)(1 - t*)]/baa(1 + l)(1 - t*) with l = Z y /Z x which is a fixed parameter uder a steady state. O combiig equatios (24) ad (26) ad with some maipulatio this yields a expressio for the steady-state rate of growth of the ecoomy: [ ] [ ] Z i Z i Z i [ ] [ - ] g = { 1-a( 1-t* ) da } H - baa( 1-t* ) d r Z [ ] where d = 1 - a(1 - t*) + b(1 - g)aa(1 - t*) which is assumed to be positive i order to esure a stable steady-state equilibrium. 6 Equatio (27) provides a positive coectio betwee the growth rate ad the rate of retur to capital as established by the supply side of the ecoomy. I a atio that does ot trade i assets with the rest of the world domestic cosumers determie a secod relatioship betwee the rate of retur to capital ad growth. (27)

7 From the cosumptio side the rate of retur ca be determied from the cosumer maximizatio problem which ivolves maximizig utility U give by: where D x ad D y represet quatities cosumed of goods X ad Y at ay give time t ad r is a rate of time preferece. Equatio (28) is maximized subject to a budget costrait statig the equality of icome ad expediture at ay time G. This optimizatio yields the followig coditio: r = ( E E)+ r FINANCIAL LIBERALIZATION CORRUPTION AND GROWTH 733 U = Ú exp[ - rt ( -t)] log U[ Dx() t Dy() t ] d t t where E is aggregate cosumptio expediture. But i the ecoomy s steady state as oted earlier cosumptio expediture will grow at g g ad therefore (28) (29) r = g g + r. (29 ) Equatios (27) ad (29 ) costitute a system of two equatios i two variables g ad r o. Solvig for the steady state growth rate results i g = [[( 1-a( 1-t* )] a [ 1-a( 1-t* )+ baa( 1-t* )] H -r[ aa( 1-t* ) b] [ 1-a( 1-t* )+ baa( 1-t* )]. (30) The rate of growth of the ecoomy is thus determied by the edowmet of huma capital (first term) ad the rate of time preferece (secod term). Note that the greater the edowmet of huma capital H the higher the growth rate holdig other thigs costat. I additio the greater the degree of corruptio t* the lower the rate of growth other thigs costat. 3. The Impact of Capital Accout Liberalizatio o Ecoomic Growth Cosider ow the situatio whe the ecoomy described i sectio 2 is opeed to iteratioal trade i assets. I this case domestic firms ad households ca both borrow ad led at the world iterest rate r*. Uder the assumptio of perfect capital mobility the domestic rate of retur to capital must equal the exogeously-give world iterest rare or r = r*. (31) This coditio replaces equatio (29 ) which o loger becomes relevat because the ecoomy s steady-state equilibrium does ot require that expediture be equal to icome at every momet (oly a itertemporal budget costrait must be satisfied). Usig equatio (27) the steady state growth rate after capital accout liberalizatio becomes [ ] with all the variables as defied earlier. Uder the assumptio that d is positive equatio (32) shows that the ecoomy s growth rate is positively affected by icreased huma capital (risig H) but egatively affected by a icrease i the world iterest rate r*. How does opeig the capital accout affect the ecoomy s growth rate? If the equilibrium rate of retur o capital before the liberalizatio r lies below r* the equatio (32) suggests that the growth rate will declie. The explaatio is that whe the capital accout is liberalized ad r < r* the capital flight will occur as domestic resig = { 1-a( 1-t* ) da } H - baa( 1-t* ) d r* [ ] (32)

8 734 Fracisco L. Rivera-Batiz dets ca fid higher rates of retur i the rest of the world. As households shift their ivestmets from domestic to foreig assets which yield a higher rate of retur domestic iovatio collapses ad the output growth rate (the umber of ew capital goods created) drops. At the ecoomy reaches a steady state after liberalizatio domestic rates of retur will alig with world rates of retur but at a lower output growth rate. Note that the higher the rate of corruptio the greater the tax rate t*. This reduces the ecoomy s rate of retur to capital before the liberalizatio ad makes it more likely that there will be capital flight from the ecoomy after the liberalizatio causig a drop i growth. O the other had the lower the level of corruptio i the ecoomy the less likely that this evet will occur ad istead opeig the capital accout will result i capital iflows that will stimulate iovatio techological chage ad growth. Iteratioal fiacial liberalizatio has distributioal effects as well. Cosider for example the case where the opeig leads to capital outflows. I this evet eve though the coutry s output growth rate declies asset holders will beefit from the higher iterest rate. But the icreased icome received by asset holders is matched by a fall both i the level ad the rate of icrease of the earigs of both skilled ad uskilled workers. The drop i the real icome of skilled ad uskilled labor is associated with the reductio i the amout of physical capital ivested i the coutry as a result of capital flight. The reductio i the growth rate of labor earigs is directly related to the drop i the rate of growth of output sice both are equal. Note that if the skilled ad uskilled workers were ot asset holders their ecoomic welfare would declie after the liberalizatio because their labor icome shrius. If they are asset holders; however their welfare may icrease depedig o the share of the coutry s assets that they ow Coclusios The impact of the liberalizatio of the capital accout o emergig markets has geerated heated cotroversy i recet years. The empirical work of Beck et al. (2000) Levie (this issue) Erruza (this issue) ad others suggests that iteratioal fiacial liberalizatio fosters ecoomic developmet ot oly by allowig developig atios to accumulate physical capital but also by improvig the domestic fiacial system ad stimulatig productivity growth. Others such as Krugma (1993) ad Rodrik (1998) fid o evidece of a coectio betwee icreased fiacial liberalizatio ad ecoomic developmet. I fact some have blamed the icreased globalizatio of capital flows for the rash of emergig market crises i the 1990s icludig the Mexica peso crisis ad its Tequila effect the East Asia crisis ad the Russia fiacial crisis ad its severe cotagio effects (see Radelet ad Sachs 1998; Eatwell ad Taylor 2000). This paper shows that iteratioal fiacial liberalizatio has ambiguous effects o the rate of growth of a developig ecoomy. Whether gais or losses i growth are realized depeds o whether the ecoomy beefits from a iflux of capital or suffers from a capital flight after the liberalizatio. If the rate of retur to capital before liberalizatio is comparatively low compared with world rates of retur the a opeig of the capital accout will result i capital flight ad a reductio of domestic growth. O the other had if the domestic rate of retur is high capital iflows will result that icrease growth. 8 The paper establishes a egative coectio betwee domestic corruptio ad the rate of retur to capital. As a result coutries where corruptio is rampat will suffer

9 FINANCIAL LIBERALIZATION CORRUPTION AND GROWTH 735 from low rates of retur to capital before the liberalizatio of iteratioal fiacial trasactios. Whe liberalizatio does occur capital flight erupts ad the ecoomy s growth rate declies. I low-corruptio coutries o the other had capital accout liberalizatio geerates positive growth effects. Capital flight has iduced policymakers i may poor coutries to itroduce capital ad exchage cotrols to block the outflows that would result if liberalizatio were to occur. This paper shows however that this is ot the first-best policy. Isofar as corruptio is behid the relatively low domestic rates of retur to capital the first-best policy i this cotext is to itervee to reduce or elimiate corruptio. Ideed improved goverace would result i a burst of growth sice it would allow domestic etrepreeurs ad iovators to be uboud from the chattels imposed by a corrupt regime eve i a closed ecoomy. As bribe requests are elimiated or cotrolled the returs to research ad developmet will boom fosterig techological chage. But eve more importatly a drop i corruptio allows a opeig of the capital accout to further beefit the domestic ecoomy. With a drop i corruptio the developig ecoomy s atural shortage of capital will reveal itself i high rates of retur to capital which would result i capital iflows as a result of iteratioal fiacial liberalizatio. O the other had itroducig capital accout liberalizatio without the appropriate domestic policies i place to improve goverace ad cotrol corruptio may result i a magificatio of domestic distortios ad a declie of ecoomic growth. Refereces Abalki Leoid ad Joh Whalley The Problem of Capital Flight from Russia mimeo Ceter for the Study of Iteratioal Ecoomic relatios Uiversity of Wester Otario (1999). Adam Christopher S. ad Stephe A. O Coell Aid Taxatio ad Developmet: Aalytical Perspectives o Aid Effectiveess i Sub-Sahara Africa mimeo Ceter for Study of Africa Ecoomies Oxford Uiversity (1997). Ageor Pierre-Richard ad Joshua Aizema Volatility ad the Welfare Costs of Fiacial Market Itegratio i P. R. Ageor M. Miller A. Weber ad D. Vies (eds.) The Asia Fiacial Crisis: Causes Cotagio ad Cosequeces Cambridge: Cambridge Uiversity Press (1999): Ajayi S. Ibi ad Mohsi S. Kha (eds.) Exteral Debt ad Capital Flight i Sub Sahara Africa Washigto D.C.: Iteratioal Moetary Fud (2000). Beck Thorste Ross Levie ad Norma Loayza Fiace ad the Sources of Growth Joural of Fiacial Ecoomics 58 (2000): Caprio Gerard Izak Atiyas ad James A. Haso (eds.) Fiacial Reform: Theory ad Practice Cambridge: Cambridge Uiversity Press (1994). Collier Paul Ake Hoeffler ad Catherie Pattillo Flight Capital as a Portfolio Choice World Bak Policy Research Workig Paper 2066 (1999). Cooper William H. ad Joh P. Hardt Russia Capital Flight Ecoomic Reforms ad US Iterests: A Aalysis Report for Cogress Cogressioal Research Service (2000). Cuddigto Joh T. Capital Flight: Issues Estimates ad Explaatios Priceto Studies i Iteratioal Fiace 58 (1986). Dooley Michael P. ad Keeth M. Kletzer Capital Flight Exteral Debt ad Domestic Policies Ecoomic Review of the Federal Reserve Bak of Sa Fracisco (1994): Eatwell Joh ad Lace Taylor Global Fiace at Risk: The Case for Iteratioal Regulatio New York: New Press (2000). Edwards Sebastia Crisis ad Reform i Lati America: From Despair to Hope Oxford: Oxford Uiversity Press (1995). Ehrlich Isaac ad T. Lui Bureaucratic Corruptio ad Edogeous Ecoomic Growth Joural of Political Ecoomy 107 (1999):S

10 736 Fracisco L. Rivera-Batiz Gray Cheryl W. ad Daiel Kaufma Corruptio ad Developmet Fiace ad Developmet (1998):7 10. Grossma Gee M. ad Elhaa Helpma Iovatio ad Growth i the Global Ecoomy Cambridge MA: MIT Press (1991a). Growth ad Welfare i a Small Ope Ecoomy i E. Helpma ad A. Razi (eds.) Iteratioal Trade ad Trade Policy Cambridge MA: MIT Press (1991b): Ito T. ad Ae Krueger (eds.) Fiacial Deregulatio ad Itegratio i East Asia Chicago: Uiversity of Chicago Press (1996): Kaufma Daiel Aart Kraay ad Pablo Zoido-Lobato Goverace Matters World Bak Policy Research Workig Paper 2196 (1999). Krugma Paul Iteratioal Fiace ad Ecoomic Developmet i A. Giovaii (ed.) Fiace ad Developmet: Issues ad Experiece Cambridge: Cambridge Uiversity Press (1993): Lessard Doald R. ad Joh Williamso Capital Flight ad Third World Debt Washigto DC: Istitute for Iteratioal Ecoomics (1987). Lucas Robert E. Why Capital Does t Flow from Rich to Poor Coutries America Ecoomic Review 80 (1990):92 6. Lukauskas Arvid ad Fracisco L. Rivera-Batiz (eds.) The Political Ecoomy of the East Asia Crisis ad Its Aftermath: Tigers i Distress Chelteham: Edward Elgar (2001). Mauro Paolo Corruptio ad Growth Quarterly Joural of Ecoomics 110 (1995): Obstfeld Maurice The Global Capital Market: Beefactor or Meace? Joural of Ecoomic Perspectives 12 (1998):9 30. Radelet Steve ad Jeffrey Sachs The East Asia Fiacial Crisis: Diagosis Remedies ad Prospects Brookigs Papers o Ecoomic Activity (1998):1 74. Rivera-Batiz Fracisco L. Modelig Capital Flight from Lati America: A Portfolio Balace Approach Modelig ad Simulatio 14 (1987): The Ecoomics of Techological Progress ad Edogeous Growth i Ope Ecoomies i Has-Eckart Scharrer (ed.) The Ecoomics of High Techology Competitio ad Cooperatio i Global Markets Hamburg: Istitut für Wirtschaftsforschug (1996): Trade Liberalizatio ad the Iteratioal Distributio of the Gais from Growth i Satya Dev Gupta ad Nada K. Choudhry (eds.) Globalizatio ad Developmet: Growth Equity ad Sustaiability Bosto: Kluwer Academic (1997): Rivera-Batiz Luis A. ad Paul M. Romer Ecoomic Itegratio ad Edogeous Growth Quarterly Joural of Ecoomics 106 (1991): Rodrik Dai Who Needs Capital Accout Covertibility? i Essays i Iteratioal Fiace vol. 207 Priceto Uiversity Departmet of Ecoomics Iteratioal Fiace Sectio (1998). Romer Paul M. Edogeous Techological Chage Joural of Political Ecoomy 90 (1990a):S Trade Politics ad Growth i a Small Less Developed Ecoomy mimeo Departmet of Ecoomics Uiversity of Chicago (1990b). Schieller Lisa A Ecoometric Model of Capital Flight from Developig Coutries IFDP Paper 579 Iteratioal Fiace Divisio Board of Goverors Federal Reserve Board (1997). Shleifer Adrei ad Robert Vishy The Grabbig Had: Govermet Pathologies ad Their Cures Cambridge: Harvard Uiversity Press (1998). Notes 1. A broad discussio of capital accout liberalizatio i developig coutries is preseted i Lukauskas ad Rivera-Batiz (2001) Ito ad Krueger (1996) Edwards (1995) ad Caprio et al. (1994).

11 FINANCIAL LIBERALIZATION CORRUPTION AND GROWTH Theoretical ad empirical models of capital flight are preseted i Collier et al. (1999) Schieller (1997) Dooley ad Kletzer (1994) Lessard ad Williamso (1987) Rivera-Batiz (1987) ad Cuddigto (1986). 3. See Gray ad Kaufma (1998) Adam ad O Coell (1997) ad Shleifer ad Vishy (1998). 4. See Kaufma et al. (1999) Ehrlich ad Lui (1999) ad Mauro (1995). 5. The model is based o edogeous growth models of the ope ecoomy such as Grossma ad Helpma (1991ab); see also Rivera-Batiz ad Romer (1991) ad Rivera-Batiz ( ). 6. This requires that the expoet g be small eough or the parameter a i the capital goods sub-productio fuctio be large eough to sustai a positive d. This meas that the icreasig returs i the productio of capital goods which are directly related to a are bouded. 7. See Romer (1990b) for a discussio of this case. 8. I differet models the dagers of iteratioal fiacial liberalizatio i the presece of domestic distortios have bee examied by Detragiache (this issue) ad Ageor ad Aizema (1999).

Overlapping Generations

Overlapping Generations Eco. 53a all 996 C. Sims. troductio Overlappig Geeratios We wat to study how asset markets allow idividuals, motivated by the eed to provide icome for their retiremet years, to fiace capital accumulatio

More information

1 ECON4415: International Economics Problem Set 4 - Solutions

1 ECON4415: International Economics Problem Set 4 - Solutions ECON445: Iteratioal Ecoomics Problem Set 4 - Solutios. I Moopolistic competitio. Moopolistic competitio is a market form where May rms producig di eret varieties. Each rm has moopoly power over its ow

More information

Monopoly vs. Competition in Light of Extraction Norms. Abstract

Monopoly vs. Competition in Light of Extraction Norms. Abstract Moopoly vs. Competitio i Light of Extractio Norms By Arkadi Koziashvili, Shmuel Nitza ad Yossef Tobol Abstract This ote demostrates that whether the market is competitive or moopolistic eed ot be the result

More information

III. RESEARCH METHODS. Riau Province becomes the main area in this research on the role of pulp

III. RESEARCH METHODS. Riau Province becomes the main area in this research on the role of pulp III. RESEARCH METHODS 3.1 Research Locatio Riau Provice becomes the mai area i this research o the role of pulp ad paper idustry. The decisio o Riau Provice was supported by several facts: 1. The largest

More information

Models of Asset Pricing

Models of Asset Pricing APPENDIX 1 TO CHAPTER 4 Models of Asset Pricig I this appedix, we first examie why diversificatio, the holdig of may risky assets i a portfolio, reduces the overall risk a ivestor faces. The we will see

More information

Models of Asset Pricing

Models of Asset Pricing APPENDIX 1 TO CHAPTER4 Models of Asset Pricig I this appedix, we first examie why diversificatio, the holdig of may risky assets i a portfolio, reduces the overall risk a ivestor faces. The we will see

More information

EC426 Class 5, Question 3: Is there a case for eliminating commodity taxation? Bianca Mulaney November 3, 2016

EC426 Class 5, Question 3: Is there a case for eliminating commodity taxation? Bianca Mulaney November 3, 2016 EC426 Class 5, Questio 3: Is there a case for elimiatig commodity taxatio? Biaca Mulaey November 3, 2016 Aswer: YES Why? Atkiso & Stiglitz: differetial commodity taxatio is ot optimal i the presece of

More information

EU ETS Hearing, European Parliament Xavier Labandeira, FSR Climate (EUI)

EU ETS Hearing, European Parliament Xavier Labandeira, FSR Climate (EUI) EU ETS Hearig, Europea Parliamet Xavier Labadeira, FSR Climate (EUI) 0. Thaks Chairma, MEPs. Thak you very much for ivitig me here today. I am hoored to participate i the work of a Committee whose previous

More information

Yoav Wachsman University of Hawaii

Yoav Wachsman University of Hawaii A Model of Fishig Coflicts i Foreig Fisheries Yoav Wachsma Uiversity of Hawaii A Brief History of Fisheries Exploitatio Util the later half of this cetury most marie fisheries were accessible to DWFNs

More information

10. The two-period economy with sticky prices

10. The two-period economy with sticky prices 0. The two-period ecoomy with sticky prices Idex: 0. The two-period ecoomy with sticky prices... 9. Itroductio... 9. Basic model... 9.. Mai assumptios... 9.. Equilibrium...4 9.3 The well fuctioig versus

More information

Subject CT1 Financial Mathematics Core Technical Syllabus

Subject CT1 Financial Mathematics Core Technical Syllabus Subject CT1 Fiacial Mathematics Core Techical Syllabus for the 2018 exams 1 Jue 2017 Subject CT1 Fiacial Mathematics Core Techical Aim The aim of the Fiacial Mathematics subject is to provide a groudig

More information

Models of Asset Pricing

Models of Asset Pricing 4 Appedix 1 to Chapter Models of Asset Pricig I this appedix, we first examie why diversificatio, the holdig of may risky assets i a portfolio, reduces the overall risk a ivestor faces. The we will see

More information

Optimizing of the Investment Structure of the Telecommunication Sector Company

Optimizing of the Investment Structure of the Telecommunication Sector Company Iteratioal Joural of Ecoomics ad Busiess Admiistratio Vol. 1, No. 2, 2015, pp. 59-70 http://www.aisciece.org/joural/ijeba Optimizig of the Ivestmet Structure of the Telecommuicatio Sector Compay P. N.

More information

Subject CT5 Contingencies Core Technical. Syllabus. for the 2011 Examinations. The Faculty of Actuaries and Institute of Actuaries.

Subject CT5 Contingencies Core Technical. Syllabus. for the 2011 Examinations. The Faculty of Actuaries and Institute of Actuaries. Subject CT5 Cotigecies Core Techical Syllabus for the 2011 Examiatios 1 Jue 2010 The Faculty of Actuaries ad Istitute of Actuaries Aim The aim of the Cotigecies subject is to provide a groudig i the mathematical

More information

Institute of Actuaries of India Subject CT5 General Insurance, Life and Health Contingencies

Institute of Actuaries of India Subject CT5 General Insurance, Life and Health Contingencies Istitute of Actuaries of Idia Subject CT5 Geeral Isurace, Life ad Health Cotigecies For 2017 Examiatios Aim The aim of the Cotigecies subject is to provide a groudig i the mathematical techiques which

More information

Market failures within poor institutions: the effects of bureaucrats rent-seeking activity

Market failures within poor institutions: the effects of bureaucrats rent-seeking activity Market failures withi poor istitutios: the effects of bureaucrats ret-seekig activity Davide Ifate, Jaa Smirova d.ifate@uical.it, smirova@uical.it Departmet of Ecoomics ad Statistics, Uiversity of Calabria

More information

CAPITAL PROJECT SCREENING AND SELECTION

CAPITAL PROJECT SCREENING AND SELECTION CAPITAL PROJECT SCREEIG AD SELECTIO Before studyig the three measures of ivestmet attractiveess, we will review a simple method that is commoly used to scree capital ivestmets. Oe of the primary cocers

More information

An Empirical Study on the Contribution of Foreign Trade to the Economic Growth of Jiangxi Province, China

An Empirical Study on the Contribution of Foreign Trade to the Economic Growth of Jiangxi Province, China usiess, 21, 2, 183-187 doi:1.4236/ib.21.2222 Published Olie Jue 21 (http://www.scirp.org/joural/ib) 183 A Empirical Study o the Cotributio of Foreig Trade to the Ecoomic Growth of Jiagxi Provice, Chia

More information

10.The Zero Lower Bound in a two period economy

10.The Zero Lower Bound in a two period economy .The Zero Lower Boud i a two period ecoomy Idex:. The Zero Lower Boud i a two period ecoomy.... Itroductio.... A two period closed ecoomy with moey.....osumptio.....the IS curve...3..3the Fisher equatio...3..4the

More information

Appendix 1 to Chapter 5

Appendix 1 to Chapter 5 Appedix 1 to Chapter 5 Models of Asset Pricig I Chapter 4, we saw that the retur o a asset (such as a bod) measures how much we gai from holdig that asset. Whe we make a decisio to buy a asset, we are

More information

Cost-benefit analysis of plasma technologies

Cost-benefit analysis of plasma technologies Cost-beefit aalysis of plasma techologies Professor Adra Blumberga, Riga Techical uiversity Part-fiaced by the Europea Uio (Europea Regioal Developmet Fud Cost- beefit aalysis Part-fiaced by the Europea

More information

Binomial Model. Stock Price Dynamics. The Key Idea Riskless Hedge

Binomial Model. Stock Price Dynamics. The Key Idea Riskless Hedge Biomial Model Stock Price Dyamics The value of a optio at maturity depeds o the price of the uderlyig stock at maturity. The value of the optio today depeds o the expected value of the optio at maturity

More information

Chapter 4: Time Value of Money

Chapter 4: Time Value of Money FIN 301 Class Notes Chapter 4: Time Value of Moey The cocept of Time Value of Moey: A amout of moey received today is worth more tha the same dollar value received a year from ow. Why? Do you prefer a

More information

REITInsight. In this month s REIT Insight:

REITInsight. In this month s REIT Insight: REITIsight Newsletter February 2014 REIT Isight is a mothly market commetary by Resource Real Estate's Global Portfolio Maager, Scott Crowe. It discusses our perspectives o major evets ad treds i real

More information

Calculation of the Annual Equivalent Rate (AER)

Calculation of the Annual Equivalent Rate (AER) Appedix to Code of Coduct for the Advertisig of Iterest Bearig Accouts. (31/1/0) Calculatio of the Aual Equivalet Rate (AER) a) The most geeral case of the calculatio is the rate of iterest which, if applied

More information

EVEN NUMBERED EXERCISES IN CHAPTER 4

EVEN NUMBERED EXERCISES IN CHAPTER 4 Joh Riley 7 July EVEN NUMBERED EXERCISES IN CHAPTER 4 SECTION 4 Exercise 4-: Cost Fuctio of a Cobb-Douglas firm What is the cost fuctio of a firm with a Cobb-Douglas productio fuctio? Rather tha miimie

More information

Profit Taxation, Monopolistic Competition and International Relocation of Firms

Profit Taxation, Monopolistic Competition and International Relocation of Firms 1 Profit Taxatio, Moopolistic Competitio ad Iteratioal Relocatio of Firms Wataru Johdo This paper presets a two-coutry moopolistic competitio trade model to aalyze how the profit taxatio determies the

More information

Problem Set 1a - Oligopoly

Problem Set 1a - Oligopoly Advaced Idustrial Ecoomics Sprig 2014 Joha Steek 6 may 2014 Problem Set 1a - Oligopoly 1 Table of Cotets 2 Price Competitio... 3 2.1 Courot Oligopoly with Homogeous Goods ad Differet Costs... 3 2.2 Bertrad

More information

The Time Value of Money in Financial Management

The Time Value of Money in Financial Management The Time Value of Moey i Fiacial Maagemet Muteau Irea Ovidius Uiversity of Costata irea.muteau@yahoo.com Bacula Mariaa Traia Theoretical High School, Costata baculamariaa@yahoo.com Abstract The Time Value

More information

KEY INFORMATION DOCUMENT CFD s Generic

KEY INFORMATION DOCUMENT CFD s Generic KEY INFORMATION DOCUMENT CFD s Geeric KEY INFORMATION DOCUMENT - CFDs Geeric Purpose This documet provides you with key iformatio about this ivestmet product. It is ot marketig material ad it does ot costitute

More information

of Asset Pricing R e = expected return

of Asset Pricing R e = expected return Appedix 1 to Chapter 5 Models of Asset Pricig EXPECTED RETURN I Chapter 4, we saw that the retur o a asset (such as a bod) measures how much we gai from holdig that asset. Whe we make a decisio to buy

More information

FINM6900 Finance Theory How Is Asymmetric Information Reflected in Asset Prices?

FINM6900 Finance Theory How Is Asymmetric Information Reflected in Asset Prices? FINM6900 Fiace Theory How Is Asymmetric Iformatio Reflected i Asset Prices? February 3, 2012 Referece S. Grossma, O the Efficiecy of Competitive Stock Markets where Traders Have Diverse iformatio, Joural

More information

First Nature vs. Second Nature Causes: Industry Location. and Growth in the Presence of an Open-Access Renewable Resource

First Nature vs. Second Nature Causes: Industry Location. and Growth in the Presence of an Open-Access Renewable Resource First Nature vs. ecod Nature Causes: Idustry Locatio ad Growth i the Presece of a Ope-Access eewable esource afael Gozález-Val a Ferado Pueyo b a Uiversidad de Barceloa & Istituto de Ecoomía de Barceloa

More information

Methodology on setting the booking prices Project Development and expansion of Bulgartransgaz EAD gas transmission system

Methodology on setting the booking prices Project Development and expansion of Bulgartransgaz EAD gas transmission system Methodology o settig the bookig prices Project Developmet ad expasio of Bulgartrasgaz EAD gas trasmissio system Art.1. The preset Methodology determies the coditios, order, major requiremets ad model of

More information

The Balassa-Samuelson Effect and Pricing-to-Market: The Role of Strategic Complementarity

The Balassa-Samuelson Effect and Pricing-to-Market: The Role of Strategic Complementarity The Balassa-Samuelso Effect ad Pricig-to-Market: The Role of Strategic Complemetarity Eddy Bekkers Uiversity of Ber Ia Simoovska Uiversity of Califoria, Davis ad NBER We propose a ovel determiat of prices

More information

We learned: $100 cash today is preferred over $100 a year from now

We learned: $100 cash today is preferred over $100 a year from now Recap from Last Week Time Value of Moey We leared: $ cash today is preferred over $ a year from ow there is time value of moey i the form of willigess of baks, busiesses, ad people to pay iterest for its

More information

of Asset Pricing APPENDIX 1 TO CHAPTER EXPECTED RETURN APPLICATION Expected Return

of Asset Pricing APPENDIX 1 TO CHAPTER EXPECTED RETURN APPLICATION Expected Return APPENDIX 1 TO CHAPTER 5 Models of Asset Pricig I Chapter 4, we saw that the retur o a asset (such as a bod) measures how much we gai from holdig that asset. Whe we make a decisio to buy a asset, we are

More information

GROWTH AND COMPETITION IN A MODEL OF HUMAN CAPITAL ACCUMULATION AND RESEARCH

GROWTH AND COMPETITION IN A MODEL OF HUMAN CAPITAL ACCUMULATION AND RESEARCH Volume IV/ Issue 3(9)/ Fall 2009 GROWT AND COMPETITION IN A MODEL OF UMAN CAPITAL ACCUMULATION AND RESEARC Domiique Biaco Uiversity of Nice-Sophia-Atipolis, GREDEG (CNRS), Frace domiique.biaco@gredeg.crs.fr

More information

43. A 000 par value 5-year bod with 8.0% semiaual coupos was bought to yield 7.5% covertible semiaually. Determie the amout of premium amortized i the 6 th coupo paymet. (A).00 (B).08 (C).5 (D).5 (E).34

More information

Statistics for Economics & Business

Statistics for Economics & Business Statistics for Ecoomics & Busiess Cofidece Iterval Estimatio Learig Objectives I this chapter, you lear: To costruct ad iterpret cofidece iterval estimates for the mea ad the proportio How to determie

More information

Structuring the Selling Employee/ Shareholder Transition Period Payments after a Closely Held Company Acquisition

Structuring the Selling Employee/ Shareholder Transition Period Payments after a Closely Held Company Acquisition Icome Tax Isights Structurig the Sellig Employee/ Shareholder Trasitio Period Paymets after a Closely Held Compay Acquisitio Robert F. Reilly, CPA Corporate acquirers ofte acquire closely held target compaies.

More information

MATH : EXAM 2 REVIEW. A = P 1 + AP R ) ny

MATH : EXAM 2 REVIEW. A = P 1 + AP R ) ny MATH 1030-008: EXAM 2 REVIEW Origially, I was havig you all memorize the basic compoud iterest formula. I ow wat you to memorize the geeral compoud iterest formula. This formula, whe = 1, is the same as

More information

Capital Gains Taxation and Corporate Investment

Capital Gains Taxation and Corporate Investment Uiversity of Chicago Law School Chicago Uboud Coase-Sador Workig Paper Series i Law ad Ecoomics Coase-Sador Istitute for Law ad Ecoomics 2016 Capital Gais Taxatio ad Corporate Ivestmet David A. Weisbach

More information

Chapter Four Learning Objectives Valuing Monetary Payments Now and in the Future

Chapter Four Learning Objectives Valuing Monetary Payments Now and in the Future Chapter Four Future Value, Preset Value, ad Iterest Rates Chapter 4 Learig Objectives Develop a uderstadig of 1. Time ad the value of paymets 2. Preset value versus future value 3. Nomial versus real iterest

More information

An Empirical Research on the Structure of Public Expenditure and Economic Growth Evidence from China

An Empirical Research on the Structure of Public Expenditure and Economic Growth Evidence from China Iteratioal Joural of Ecoomics ad Fiace; Vol. 8, No. 3; 206 ISSN 96-97X E-ISSN 96-9728 Published by Caadia Ceter of Sciece ad Educatio A Empirical Research o the Structure of Public Expediture ad Ecoomic

More information

Impossible Trinity, Capital Flow Market and Financial Stability

Impossible Trinity, Capital Flow Market and Financial Stability Impossible Triity, Capital Flow Market ad Fiacial Stability Mo Pak-Hug phmo@hkbu.edu.hk School of Busiess Hog Kog Baptist Uiversity 8 Abstract As observed by Calvo (), the world fiacial market is wrought

More information

Agglomeration and Growth with and without Capital Mobility

Agglomeration and Growth with and without Capital Mobility Agglomeratio ad Growth with ad without Capital Mobility Richard Baldwi Rikard Forslid Philippe Marti Giamarco Ottaviao Frédéric Robert-Nicoud HWWA DISCUSSION PAPER 130 Hamburgisches Welt-Wirtschafts-Archiv

More information

Chapter 4 - Consumer. Household Demand and Supply. Solving the max-utility problem. Working out consumer responses. The response function

Chapter 4 - Consumer. Household Demand and Supply. Solving the max-utility problem. Working out consumer responses. The response function Almost essetial Cosumer: Optimisatio Chapter 4 - Cosumer Osa 2: Household ad supply Cosumer: Welfare Useful, but optioal Firm: Optimisatio Household Demad ad Supply MICROECONOMICS Priciples ad Aalysis

More information

BUSINESS PLAN IMMUNE TO RISKY SITUATIONS

BUSINESS PLAN IMMUNE TO RISKY SITUATIONS BUSINESS PLAN IMMUNE TO RISKY SITUATIONS JOANNA STARCZEWSKA, ADVISORY BUSINESS SOLUTIONS MANAGER RISK CENTER OF EXCELLENCE EMEA/AP ATHENS, 13TH OF MARCH 2015 FINANCE CHALLENGES OF MANY FINANCIAL DEPARTMENTS

More information

First determine the payments under the payment system

First determine the payments under the payment system Corporate Fiace February 5, 2008 Problem Set # -- ANSWERS Klick. You wi a judgmet agaist a defedat worth $20,000,000. Uder state law, the defedat has the right to pay such a judgmet out over a 20 year

More information

PX Index Manual (1) M(0) = CZK 379,786,853,620.0 is the market capitalisation of the base on the starting date of 5 April 1994

PX Index Manual (1) M(0) = CZK 379,786,853,620.0 is the market capitalisation of the base on the starting date of 5 April 1994 PX Idex aual I. Itroductio The PX idex is the official idex of the Prague Stock Exchage (hereiafter referred to as the Stock Exchage ). The PX idex was calculated for the first time o 20 arch 2006 whe

More information

. The firm makes different types of furniture. Let x ( x1,..., x n. If the firm produces nothing it rents out the entire space and so has a profit of

. The firm makes different types of furniture. Let x ( x1,..., x n. If the firm produces nothing it rents out the entire space and so has a profit of Joh Riley F Maimizatio with a sigle costrait F3 The Ecoomic approach - - shadow prices Suppose that a firm has a log term retal of uits of factory space The firm ca ret additioal space at a retal rate

More information

- competitive economy with n consumption goods, and a single form of labor which is only input

- competitive economy with n consumption goods, and a single form of labor which is only input APPLIED WELFARE ECONOMICS AND POLICY ANALYSIS Commodity Taxatio Basic problem i commodity taxatio: if a social welfare fuctio is assumed, whas the choice of commodity tax rates that will maximize social

More information

Hopscotch and Explicit difference method for solving Black-Scholes PDE

Hopscotch and Explicit difference method for solving Black-Scholes PDE Mälardale iversity Fiacial Egieerig Program Aalytical Fiace Semiar Report Hopscotch ad Explicit differece method for solvig Blac-Scholes PDE Istructor: Ja Röma Team members: A Gog HaiLog Zhao Hog Cui 0

More information

Companies COMPANIES BUILDING ON A SOLID FOUNDATION. 1 Intrust Manx

Companies COMPANIES BUILDING ON A SOLID FOUNDATION. 1 Intrust Manx Compaies COMPANIES BUILDING ON A SOLID FOUNDATION 1 Itrust Max Itrust Max Limited Itrust (Max) Limited is based i Douglas, Isle of Ma. Our objective is to provide a bespoke, flexible, cost-effective, efficiet

More information

Productivity depending risk minimization of production activities

Productivity depending risk minimization of production activities Productivity depedig risk miimizatio of productio activities GEORGETTE KANARACHOU, VRASIDAS LEOPOULOS Productio Egieerig Sectio Natioal Techical Uiversity of Athes, Polytechioupolis Zografou, 15780 Athes

More information

Introduction to Financial Derivatives

Introduction to Financial Derivatives 550.444 Itroductio to Fiacial Derivatives Determiig Prices for Forwards ad Futures Week of October 1, 01 Where we are Last week: Itroductio to Iterest Rates, Future Value, Preset Value ad FRAs (Chapter

More information

The material in this chapter is motivated by Experiment 9.

The material in this chapter is motivated by Experiment 9. Chapter 5 Optimal Auctios The material i this chapter is motivated by Experimet 9. We wish to aalyze the decisio of a seller who sets a reserve price whe auctioig off a item to a group of bidders. We begi

More information

Linear Programming for Portfolio Selection Based on Fuzzy Decision-Making Theory

Linear Programming for Portfolio Selection Based on Fuzzy Decision-Making Theory The Teth Iteratioal Symposium o Operatios Research ad Its Applicatios (ISORA 2011 Duhuag, Chia, August 28 31, 2011 Copyright 2011 ORSC & APORC, pp. 195 202 Liear Programmig for Portfolio Selectio Based

More information

Chapter Four 1/15/2018. Learning Objectives. The Meaning of Interest Rates Future Value, Present Value, and Interest Rates Chapter 4, Part 1.

Chapter Four 1/15/2018. Learning Objectives. The Meaning of Interest Rates Future Value, Present Value, and Interest Rates Chapter 4, Part 1. Chapter Four The Meaig of Iterest Rates Future Value, Preset Value, ad Iterest Rates Chapter 4, Part 1 Preview Develop uderstadig of exactly what the phrase iterest rates meas. I this chapter, we see that

More information

Banks, Taxes, and Nonbank Competition *

Banks, Taxes, and Nonbank Competition * Commets Welcome Baks, Taxes, ad Nobak Competitio * by George Peacchi Departmet of Fiace Uiversity of Illiois 4041 BIF, Box 25 505 E. Gregory Drive Champaig, IL 61820 Phoe: (217) 244-0952 Email: gpeacc@illiois.edu

More information

DISCUSSION PAPER SERIES. No SUBSIDIES TO POOR REGIONS AND INEQUALITIES: SOME UNPLEASANT ARITHMETIC. Vincent Dupont and Philippe Martin

DISCUSSION PAPER SERIES. No SUBSIDIES TO POOR REGIONS AND INEQUALITIES: SOME UNPLEASANT ARITHMETIC. Vincent Dupont and Philippe Martin DISCUSSION PAPR SRIS No. 4107 SUBSIDIS TO POOR RGIONS AND INQUALITIS: SOM UNPLASANT ARITHMTIC Vicet Dupot ad Philippe Marti INTRNATIONAL TRAD ABCD www.cepr.org Available olie at: www.cepr.org/pubs/dps/dp4107.asp

More information

Lecture 16 Investment, Time, and Risk (Basic issues in Finance)

Lecture 16 Investment, Time, and Risk (Basic issues in Finance) Lecture 16 Ivestmet, Time, ad Risk (Basic issues i Fiace) 1. Itertemporal Ivestmet Decisios: The Importace o Time ad Discoutig 1) Time as oe o the most importat actors aectig irm s ivestmet decisios: A

More information

Section 3.3 Exercises Part A Simplify the following. 1. (3m 2 ) 5 2. x 7 x 11

Section 3.3 Exercises Part A Simplify the following. 1. (3m 2 ) 5 2. x 7 x 11 123 Sectio 3.3 Exercises Part A Simplify the followig. 1. (3m 2 ) 5 2. x 7 x 11 3. f 12 4. t 8 t 5 f 5 5. 3-4 6. 3x 7 4x 7. 3z 5 12z 3 8. 17 0 9. (g 8 ) -2 10. 14d 3 21d 7 11. (2m 2 5 g 8 ) 7 12. 5x 2

More information

Course FM Practice Exam 1 Solutions

Course FM Practice Exam 1 Solutions Course FM Practice Exam 1 Solutios Solutio 1 D Sikig fud loa The aual service paymet to the leder is the aual effective iterest rate times the loa balace: SP X 0.075 To determie the aual sikig fud paymet,

More information

Forecasting bad debt losses using clustering algorithms and Markov chains

Forecasting bad debt losses using clustering algorithms and Markov chains Forecastig bad debt losses usig clusterig algorithms ad Markov chais Robert J. Till Experia Ltd Lambert House Talbot Street Nottigham NG1 5HF {Robert.Till@uk.experia.com} Abstract Beig able to make accurate

More information

Chapter 5: Sequences and Series

Chapter 5: Sequences and Series Chapter 5: Sequeces ad Series 1. Sequeces 2. Arithmetic ad Geometric Sequeces 3. Summatio Notatio 4. Arithmetic Series 5. Geometric Series 6. Mortgage Paymets LESSON 1 SEQUENCES I Commo Core Algebra I,

More information

ENGINEERING ECONOMICS

ENGINEERING ECONOMICS ENGINEERING ECONOMICS Ref. Grat, Ireso & Leaveworth, "Priciples of Egieerig Ecoomy'','- Roald Press, 6th ed., New York, 1976. INTRODUCTION Choice Amogst Alteratives 1) Why do it at all? 2) Why do it ow?

More information

SOCIETY OF ACTUARIES FINANCIAL MATHEMATICS EXAM FM SAMPLE SOLUTIONS

SOCIETY OF ACTUARIES FINANCIAL MATHEMATICS EXAM FM SAMPLE SOLUTIONS SOCIETY OF ACTUARIES EXAM FM FINANCIAL MATHEMATICS EXAM FM SAMPLE SOLUTIONS This set of sample questios icludes those published o the iterest theory topic for use with previous versios of this examiatio.

More information

QUARTERLY PORTFOLIO REVIEW

QUARTERLY PORTFOLIO REVIEW QUARTERLY PORTFOLIO REVIEW Quarter 2015 PAYDEN.COM LOS ANGELES BOSTON LONDON PARIS LETTER FROM THE CEO Jauary 2016 Dear Cliet, As ivestmet maagers, we evaluate future treds i the ecoomy ad traslate them

More information

Puerto Rico Tax Incentives: The TCJA and other considerations

Puerto Rico Tax Incentives: The TCJA and other considerations Puerto Rico Tax Icetives: The TCJA ad other cosideratios February 14-15, 2019 Edgar Ríos-Médez, Esq. Table of Cotets Iteratioal Tax Provisios 3 q Corporate Tax Rates ad Other Provisios 4 q Global Itagible

More information

Journal of Finance, Banking and Investment, Vol. 4, No. 1, March,

Journal of Finance, Banking and Investment, Vol. 4, No. 1, March, Slack-Based Techical Efficiecy Aalysis for Deposit Moey Baks i Nigeria Asekome, Mike Ozemhoka 1 & Ihesekhie, Orobosa Abraham 2 1 Departmet of Ecoomics, Bakig & Fiace, Beso Idahosa Uiversity, Bei City,

More information

point estimator a random variable (like P or X) whose values are used to estimate a population parameter

point estimator a random variable (like P or X) whose values are used to estimate a population parameter Estimatio We have oted that the pollig problem which attempts to estimate the proportio p of Successes i some populatio ad the measuremet problem which attempts to estimate the mea value µ of some quatity

More information

NPTEL DEPARTMENT OF INDUSTRIAL AND MANAGEMENT ENGINEERING IIT KANPUR QUANTITATIVE FINANCE END-TERM EXAMINATION (2015 JULY-AUG ONLINE COURSE)

NPTEL DEPARTMENT OF INDUSTRIAL AND MANAGEMENT ENGINEERING IIT KANPUR QUANTITATIVE FINANCE END-TERM EXAMINATION (2015 JULY-AUG ONLINE COURSE) NPTEL DEPARTMENT OF INDUSTRIAL AND MANAGEMENT ENGINEERING IIT KANPUR QUANTITATIVE FINANCE END-TERM EXAMINATION (2015 JULY-AUG ONLINE COURSE) READ THE INSTRUCTIONS VERY CAREFULLY 1) Time duratio is 2 hours

More information

empirical findings and its discussion thereof. Section V presents conclusion with policy implication.

empirical findings and its discussion thereof. Section V presents conclusion with policy implication. Causal Relatioship betwee Foreig Capital Iflows ad Ecoomic Growth: Empirical Evidece from Idia Naraya Sethi Assistat Professor i Ecoomics, Dept. of Humaities ad Social Scieces, Natioal Istitute of Techology

More information

CAPITALIZATION (PREVENTION) OF PAYMENT PAYMENTS WITH PERIOD OF DIFFERENT MATURITY FROM THE PERIOD OF PAYMENTS

CAPITALIZATION (PREVENTION) OF PAYMENT PAYMENTS WITH PERIOD OF DIFFERENT MATURITY FROM THE PERIOD OF PAYMENTS Iteratioal Joural of Ecoomics, Commerce ad Maagemet Uited Kigdom Vol. VI, Issue 9, September 2018 http://ijecm.co.uk/ ISSN 2348 0386 CAPITALIZATION (PREVENTION) OF PAYMENT PAYMENTS WITH PERIOD OF DIFFERENT

More information

1031 Tax-Deferred Exchanges

1031 Tax-Deferred Exchanges 1031 Tax-Deferred Exchages About the Authors Arold M. Brow Seior Maagig Director, Head of 1031 Tax-Deferred Exchage Services, MB Fiacial Deferred Exchage Corporatio Arold M. Brow is the Seior Maagig Director

More information

Chapter 3. Compound interest

Chapter 3. Compound interest Chapter 3 Compoud iterest 1 Simple iterest ad compoud amout formula Formula for compoud amout iterest is: S P ( 1 Where : S: the amout at compoud iterest P: the pricipal i: the rate per coversio period

More information

setting up the business in sage

setting up the business in sage 3 settig up the busiess i sage Chapter itroductio Settig up a computer accoutig program for a busiess or other orgaisatio will take some time, but as log as the correct data is etered i the correct format

More information

Corporate governance, nance, and the real sector

Corporate governance, nance, and the real sector Corporate goverace, ace, ad the real sector Paolo Fulghieri (UNC, CEPR ad ECGI) ad Matti Suomie (Aalto Uiversity, Helsiki) May 18, 010 For helpful commets, the authors would like to thak Philip Bod, Isil

More information

State Taxes and Spatial Misallocation

State Taxes and Spatial Misallocation State Taxes ad Spatial Misallocatio Pablo D. Fajgelbaum UCLA& NBER Eduardo Morales Priceto & NBER Jua Carlos Suárez Serrato Duke & NBER Owe Zidar Chicago Booth & NBER November 2015 Abstract We study the

More information

The ROI of Ellie Mae s Encompass All-In-One Mortgage Management Solution

The ROI of Ellie Mae s Encompass All-In-One Mortgage Management Solution The ROI of Ellie Mae s Ecompass All-I-Oe Mortgage Maagemet Solutio MAY 2017 Legal Disclaimer All iformatio cotaied withi this study is for iformatioal purposes oly. Neither Ellie Mae, Ic. or MarketWise

More information

MS-E2114 Investment Science Exercise 2/2016, Solutions

MS-E2114 Investment Science Exercise 2/2016, Solutions MS-E24 Ivestmet Sciece Exercise 2/206, Solutios 26.2.205 Perpetual auity pays a xed sum periodically forever. Suppose a amout A is paid at the ed of each period, ad suppose the per-period iterest rate

More information

Course FM/2 Practice Exam 1 Solutions

Course FM/2 Practice Exam 1 Solutions Course FM/2 Practice Exam 1 Solutios Solutio 1 D Sikig fud loa The aual service paymet to the leder is the aual effective iterest rate times the loa balace: SP X 0.075 To determie the aual sikig fud paymet,

More information

QUARTERLY PORTFOLIO REVIEW

QUARTERLY PORTFOLIO REVIEW QUARTERLY PORTFOLIO REVIEW Quarter 2015 PAYDEN.COM LOS ANGELES BOSTON LONDON PARIS LETTER FROM THE CEO Jauary 2016 Dear Cliet, As ivestmet maagers, we evaluate future treds i the ecoomy ad traslate them

More information

Distortions in Factor Markets and Structural Adjustments in the Economy

Distortions in Factor Markets and Structural Adjustments in the Economy MONETARY AND ECONOMIC STUDIES/OCTOBER 2003 Distortios i Factor Markets ad Structural Adjustmets i the Ecoomy Masayuki Nakakuki, Akira Otai, ad Shigeori Shiratsuka I this paper, we carry out qualitative

More information

Life Products Bulletin

Life Products Bulletin Life Products Bulleti Tredsetter Super Series Tredsetter Super Series: 2009 Chages Effective September 1, 2009, Trasamerica Life Isurace Compay is releasig ew rates for Tredsetter Super Series level premium

More information

This article is part of a series providing

This article is part of a series providing feature Bryce Millard ad Adrew Machi Characteristics of public sector workers SUMMARY This article presets aalysis of public sector employmet, ad makes comparisos with the private sector, usig data from

More information

1 + r. k=1. (1 + r) k = A r 1

1 + r. k=1. (1 + r) k = A r 1 Perpetual auity pays a fixed sum periodically forever. Suppose a amout A is paid at the ed of each period, ad suppose the per-period iterest rate is r. The the preset value of the perpetual auity is A

More information

Solutions to Interest Theory Sample Questions

Solutions to Interest Theory Sample Questions to Iterest Theory Sample Questios Solutio 1 C Chapter 4, Iterest Rate Coversio After 7.5 years, the value of each accout is the same: 7.5 7.5 0.04 1001 100e 1.336 e l(1.336) 7.5 0.0396 7.5 Solutio E Chapter

More information

REITInsight. In this month s REIT Insight:

REITInsight. In this month s REIT Insight: REITIsight Newsletter March 2014 REIT Isight is a mothly market commetary by Resource Real Estate's Global Portfolio Maager, Scott Crowe. It discusses our perspectives o major evets ad treds i real estate

More information

RISK DIVERSIFICATION BETWEEN STOCK MARKETS IN GERMANY AND BOSNIA AND HERZEGOVINA

RISK DIVERSIFICATION BETWEEN STOCK MARKETS IN GERMANY AND BOSNIA AND HERZEGOVINA South East Europea Joural of Ecoomics ad Busiess - Special Issue ICES Coferece, Volume 9 (1) 2014, 30-36 DOI: 10.2478/jeb-2014-0003 RISK DIVERSIFICATION BETWEEN STOCK MARKETS IN GERMANY AND BOSNIA AND

More information

CHAPTER 2 PRICING OF BONDS

CHAPTER 2 PRICING OF BONDS CHAPTER 2 PRICING OF BONDS CHAPTER SUARY This chapter will focus o the time value of moey ad how to calculate the price of a bod. Whe pricig a bod it is ecessary to estimate the expected cash flows ad

More information

Driver s. 1st Gear: Determine your asset allocation strategy.

Driver s. 1st Gear: Determine your asset allocation strategy. Delaware North 401(k) PLAN The Driver s Guide The fial step o your road to erollig i the Delaware North 401(k) Pla. At this poit, you re ready to take the wheel ad set your 401(k) i motio. Now all that

More information

How the Default Probability is Defined by the CreditRisk+Model?

How the Default Probability is Defined by the CreditRisk+Model? Iteratioal Joural of Global Eergy Marets ad Fiace, 28, Vol, No, 2-25 vailable olie at http://pubssciepubcom/igefm///4 Sciece ad Educatio Publishig DOI:269/igefm---4 How the Default Probability is Defied

More information

Anomaly Correction by Optimal Trading Frequency

Anomaly Correction by Optimal Trading Frequency Aomaly Correctio by Optimal Tradig Frequecy Yiqiao Yi Columbia Uiversity September 9, 206 Abstract Uder the assumptio that security prices follow radom walk, we look at price versus differet movig averages.

More information

MA Lesson 11 Section 1.3. Solving Applied Problems with Linear Equations of one Variable

MA Lesson 11 Section 1.3. Solving Applied Problems with Linear Equations of one Variable MA 15200 Lesso 11 Sectio 1. I Solvig Applied Problems with Liear Equatios of oe Variable 1. After readig the problem, let a variable represet the ukow (or oe of the ukows). Represet ay other ukow usig

More information

1 Estimating sensitivities

1 Estimating sensitivities Copyright c 27 by Karl Sigma 1 Estimatig sesitivities Whe estimatig the Greeks, such as the, the geeral problem ivolves a radom variable Y = Y (α) (such as a discouted payoff) that depeds o a parameter

More information

FOUNDATION ACTED COURSE (FAC)

FOUNDATION ACTED COURSE (FAC) FOUNDATION ACTED COURSE (FAC) What is the Foudatio ActEd Course (FAC)? FAC is desiged to help studets improve their mathematical skills i preparatio for the Core Techical subjects. It is a referece documet

More information

The Valuation of the Catastrophe Equity Puts with Jump Risks

The Valuation of the Catastrophe Equity Puts with Jump Risks The Valuatio of the Catastrophe Equity Puts with Jump Risks Shih-Kuei Li Natioal Uiversity of Kaohsiug Joit work with Chia-Chie Chag Outlie Catastrophe Isurace Products Literatures ad Motivatios Jump Risk

More information