The Effects of Exchange Rates and Labor Intensity on Environmental Policies and Location Choice

Size: px
Start display at page:

Download "The Effects of Exchange Rates and Labor Intensity on Environmental Policies and Location Choice"

Transcription

1 Th Ects o Exchang Rats an Labor Intnsty on Envronmntal Polcs an Locaton Choc Hakan Orbay 1 an Bnan Zk Orbay 2 Abstract Thr s a branch o ltratur arssng th concrns o usng nvronmntal polcs to attract orgn nvstmnt, an rms shtng proucton abroa to scap strct nvronmntal rgulatons. Ths papr as to ths ltratur by nvstgatng th cts o xchang rats, labor ntnsty an wag rntal on nvronmntal polcs as wll as locaton choc. mlar to othrs, w mploy a two-country (orth an outh), two-rm mol o ntra-nustry tra. Both rms pollut th local nvronmnt an mport som o thr nputs at worl prcs. orth Frm cs whr to locat rst, among th chocs o stayng at hom, movng th proucton ntrly to th outh country an srvng ach markt locally through splttng th proucton. outh an orth Countrs rval th lvl o polluton taxs atrwars. Frms c thr country spcc proucton lvls a la Cournot n th thr stag. W show that polluton taxs ar ruc as labor ntnsty ncrass. I th orth rm kps all or som o ts proucton n orth, polluton tax n outh crass wth valuaton o outh currncy. In th othr cas, whr orth rm movs all proucton to outh, tax ncrass wth valuaton. Du to th ths hghr polluton taxs whn all proucton taks plac n outh, splttng th proucton appars to b th omnant outcom or orth. JEL Cos: F18, L13 Kywors: Envronmntal polcs, orgn rct nvstmnt. Exchang rats. 1. Introucton Dvlopng countrs try to attract orgn rct nvstmnt (FDI) or a astr conomc growth an lowr unmploymnt. Ralzng th ct o FDI on vlopmnt rsarchrs put mor ort to trmn whch stat attrbuts ar mor ctv on locaton choc csons. Most o ths stus hav show that, markt sz, nrastructur, local polcs (nclung nvronmntal polcs) nput costs an xchang rats ar closly rlat to locaton choc csons. Th othr mportant ssu hr whch attracts ntrst o conomsts s th nvronmntal cts o ths locaton chocs. It s not uncommon to s rms rom vlop 1 abanc Unvrsty, Orhanl, 34956, Istanbul, -mal: horbay@sabancunv.u. Hakan Orbay pass away on ptmbr 15, Corrponng Author: E-mal arss: borbay@ogus.u.tr. Doguş Unvrsty, Faculty o Economcs an Amnstratv cncs, Acbam Zamt ok. o:23, Kaıköy - Istanbul, TURKEY; Tl.: xt 1541; ax:

2 countrs wth strct nvronmntal stanars locat thr proucton aclts abroa, spcally whn thr proucton has svr nvronmntal mpact. Thr s a consrabl numbr o stus analyzng th rlatonshp btwn nvronmntal polcy an locaton choc both mprcally an thortcally. Lst an Co (2000) an Xng an Kolsta (2002) an Dan t al. (2009) ar among th mprcal stus nng sgncant ngatv rlatonshp btwn nvronmntal strngncy an attractvnss o locaton. On th thortcal s, thr ar svral paprs analyzng th ssu o locaton choc an nvronmntal polcs. Markusn t al. (1993) nvstgat th rms locaton choc unr ntrnatonal olgopoly an monstrat that nvronmntal polcs ar ctv on rms locaton chocs an markt structur an can altr polluton an wlar lvls n th concrn countrs. Markusn (1997) looks at th ssu rom th vwpont o tra lbralzaton an shows that proucton snstvty o multnatonal rms to nvronmntal polcs proucton snstvty o multnatonal rms to nvronmntal polcs ncrass wth lbralzaton. Ulp an Valntn (1997) analyz th smlar ssu by allowng ntr-sctoral lnkags btwn nustrs an monstrat that n crtan cass rms rallocats btwn countrs u to th nvronmntal rgulatons. Mor rcntly, Ab an Zhao (2005) analyz th rlatonshp btwn nvronmntal polcs an th typ o abatmnt tchnology o th local rm or th cas whr th choc o nvstmnt typ or th orgn rm s nognously trmn. Thy hav show that outh owns a poor abatmnt tchnology, t shoul mpos a hgh polluton tax to attract FDI; convrsly, t owns a goo abatmnt tchnology, thn attractng jont vnturs wth a low polluton tax s a bttr altrnatv. Kayalıca an Lahr (2005) xamn th cts o FDI on th nvronmntal polcs o a host country comptng wth anothr country or a thr country markt. Thy show that r ntry motvats lss svr polcs or th host country. Çlk an Orbay (2011) analyz th ntracton btwn nvronmntal an tra polcs an locaton choc n a two-country. Thy show that whn FDI s prrr by th host country only or sucntly low lvls o margnal amag o polluton an optmal taxs or ths cas s hghr than th margnal amag. Exclung th locaton choc, Barrtt (1994) an Knny (1994) ocus on th optmal nvronmntal polcs unr olgopolstc sttngs an monstrat that pnng on th mo o comptton optmal polluton taxs rs rom th tratonal Pgouvan tax. 2

3 Our ramwork analyz nvronmntal polcs not only ocusng on thr cts on th locaton cson o a orgn rm, but also consrng how ths polcs chang pnng on som attrbuts o th conomc nvronmnt such as labor ntnsty o th proucton an th valu o th local currncy (xchang rat) n th host country. Ths attrbuts hav varous cts through varous channls on both nvronmntal polcs an on locaton cson. Ects o xchang rat luctuatons appar to b vry sgncant on FDI n varous mprcal stus ocusng on ths ssus. Howvr, ths stus n no clar rlatonshp btwn xchang rat volatlty an FDI. om o thm n postv (s Golbrg an Kolsta (1995), Cushman (1988) an Campa (2002) an th othrs n ngatv rlatonshp (s Chakrabat an cholnck (2002)). Exchang rat has sgncant cts on th rlatv cost o labor an on th rlatv proucton cost o th local rm, thus, nvronmntal polcs clarly shoul b mo wth xchang rat movmnts. Ths crtanly crats anothr nlunc on locaton choc whch has not bn consr n any o th prvous stus w hav look at. On th othr han, wth mor labor ntnsty th mploymnt ct o proucton s mor substantal, thus, host country s nvronmntal polcs chang accorngly, bss, labor ntnsty act locaton cson bcaus wth lowr wag rat n th host country proucton bcoms chapr wth mor labor ntnsty. To th bst o our knowlg, no thortcal stuy has bn carr out to analyz th cts o xchang rats an labor ntnsty on nvronmntal polcs an on locaton cson n th sam ramwork. In orr to ll ths gap, w construct a two-country thortcal mol wth two rms locat n ach o ths countrs. W ncat th vlop country as orth an th vlopng country as outh ; w urthr assum that th rm locat n outh has a lss cnt proucton tchnology than th rm locat n orth. Each o ths rms polluts th local nvronmnt an thr s no cross-borr polluton. Th nvronmntal amags caus by th rms ar assum to b publcly known. Both rms mport som o thr nputs at worl prcs an labor s assum to b chapr n outh. In th rst stag o th gam, orth Frm cs whr to locat. Its chocs ar to stay at hom, mov th proucton aclty to th outh country an splt th proucton btwn two countrs pnng on th sals locaton. In th scon stag outh an orth Countrs rvals th lvl o polluton tax. Dpnng on th locaton choc o th orth rm, rms cs thr country spcc proucton lvls a la Cournot n th 3

4 thr stag. Our rsults show that wth mor labor ntnsty (hghr mploymnt ct) polluton taxs bcom lowr an thus, nvronmntal stanars wakns n most cass o th orth s locaton choc. Bss, polluton tax lvls ncrass wth orgn rm s cncy lvl an crass wth omstc rm s cncy lvl as long as th mploymnt ct o th omstc proucton s sucntly low. Ths rsult s n accoranc wth th convntonal rsult o th stratgc tra ltratur whch says that wnnrs shoul b gvn mor support. Hr, whn th omstc rms bcom rlatvly mor cnt govrnmnts lowr th polluton taxs to support thm mor. Howvr, or sucntly hgh lvls o omstc mploymnt ct, govrnmnts prr to cras th polluton taxs vn though th omstc rm s rlatv cncy crass. Rsults rlat to th cts o xchang rats show that orth prouc n ts country o orgn valuaton o th outh s currncy (u to th comptton avantag crat or th outh rm) gvs ncntv to th outh govrnmnt to lowr th polluton taxs. Howvr, whn th orth rm proucs n outh (partly or totally) w obsrv a rvrs rlatonshp. nc both rms ar proucng n outh, spt th valuaton, outh prrs to ras th polluton tax nsta o lowrng. Atonally, smlar to Barrtt (1994), w obsrv that whn orth prouc n ts country o orgn polluton taxs n both countrs ar always blow th margnal amag o polluton. Howvr, th orth rm locats only n outh, th polluton taxs ar abov th margnal amag o polluton (hghr than Pgovan taxs). In th cas o splttng th proucton, pnng on th mploymnt ct an th valu o xchang rat t s possbl to obsrv both strct (hghr than Pgovan taxs) an wak taxs (lowr than Pgovan taxs). Th analyss o th locaton choc o th orth rm shows that th most lkly cas or th orth rm s splttng th proucton. Th hgh polluton taxs vanshs th avantag o movng th whol proucton to th outh. Whn th outh s margnal amag o polluton s rlatvly low, valuaton may gv ncntv to th orth rm to splt ts proucton btwn orth an outh. Ths papr s organz as ollows: In cton 2, th basc mol an th solutons o th last two stags ar gvn. cton 3 scusss th soluton o th locaton choc stag. Fnally, cton 4 provs a summary an som conclung rmarks. 4

5 2. Th Mol In ths scton, w construct a two-country mol wth a omstc vlopng country (th outh) an a orgn vlop country (th orth). Each country has on rm proucng a homognous goo an gnratng local polluton urng th proucton procss. outh Frm s proucton an abatmnt tchnology s lss cnt compar to th orth Frm. Th nvronmntal amag caus by th rms ar publcly known. Margnal amags o polluton ar constant an th orth Frm s margnal amag s lowr than th outh Frm ( > ). In th rst stag o th gam th orth rm cs on ts locaton or proucton. Th optons ar proucng th total output n th outh (FDI), proucng th total output at hom an splttng th proucton btwn orth an outh. In th scon stag, both outh an orth Countrs trmn th polluton tax lvls. In th last stag, rms choos thr output lvls obsrvng th polluton tax lvls mpos by outh an orth govrnmnts. Fgur 1 rprsnts ths gam. orth Frm chooss ts locaton orth an outh Countrs trmn polluton tax lvls Frms play Cournot Gam FIGURE 1 For smplcty, w assum that thr ar no x costs n our mol. Th margnal costs o both orth an outh Frms ar assum to b compos o x proporton amount o labor ( L an L ) an othr mport nputs ( X an X ) that must b procur at worl prcs. uppos that ntal xchang rat s 1, wthout loss o gnralty. Thus, ntal margnal costs can b wrttn as ollows: c c w w L L p p w w X X (1a) (1b) 5

6 whr w an w ar wag rats n two countrs, an pw rprsnts worl prc o othr nputs. Both costs ar wrttn n rms own currncs. Wth ths nton, c rprsnts ntal margnal cost, hnc bcoms a unamntal paramtr nsnstv to xchang rat. ot that, orth currncy s assum to rprsnt worl currncy (n othr wors, p s x n orth currncy), margnal cost o orth rm s w nsnstv to xchang rat by nton. uppos that rprsnts wags pa by compans as a racton o margnal costs. Usng abov, s ar n to b, w L (2a) c w L (2b) c At th comptton stag, margnal cost o th outh rm wll b c ( 1 ) c / an wags pa by outh s stll gvn by c rgarlss o xchang rat. rprsnts th xchang rat o outh s currncy pr unt o orth s currncy. I w consr th cas whr th orth rm proucs n outh, th orth rm s margnal cost c can b wrttn as s c s w L p w X. (3) w s Dnng, (3) can b wrttn as c c ( 1 ) c an wags pa w by orth rm n outh s orth Frm or proucton n outh can b xprss as c s whr c n outh s currncy. Fnally, margnal cost o c (4) (1 ). Hr rprsnts th xtnt o th proucton cost avantag o orth Frm whn t proucs n outh. Consumpton taks plac n both outh an orth an nvrs man unctons ar: P a b Q,, (5) whr Q j {, j} {, }, j, th total output an an ar th amounts prouc by th outh rm an orth rm an P s th prc n ach country s own currncy, rspctvly. outh rm acs th ollowng prot maxmzaton problm: 6

7 max (, ) [( a b ( )) ( a b ( )) / C ( C (6a) ) / ] whr C s th total unt cost o sllng at hom (n outh s currncy) c whch s th sum o polluton tax rat mpos by th outh pr unt o proucton an th margnal cost o proucton, smlarly, C ( c t) s th total unt cost o sllng n orth (n orth s currncy) whch s th sum o margnal cost o proucton, polluton tax an th transportaton cost t. maxmzaton problm o th orth rm can b ormulat as: Th prot max ( a b ( )) ( a b ( )) C C (6b) (, ) whr s th total unt cost o sllng n orth ( n orth s currncy) an s th total unt cost o sllng n outh (n outh s currncy) or th orth rm. Clarly, ths unt costs wll r pnng on th proucton locaton choc o th orth Frm latr n th ollowng sctons. olvng th racton unctons obtan rom (6a) an (6b) smultanously yls th markt stag ulbrum outputs as ollows: 1 ( a C 2C) (7a) 1 ( a C 2C ) (7b) 1 ( a C 2C) (7c) 1 ( a C 2C ) (7) ubsttutng ths ulbrum outputs w obtan th ollowng Cournot-ash ulbrum prot lvls. 7

8 2 b ( a C C ) b ( a C 2C ) (8a) 9b b b ( a 2C C ) b ( a 2C C) (8b) 9b b 2.1 Markt tag Gam 1: orth Frm prouc n ts Country o Orgn In ths scton, w consr th cas whr th orth Frm stays at hom an xport to th outh. orth rm s total unt cost whn t slls n orth s (n orth s currncy) C c (9a) an whn t slls n outh s (n outh s currncy) C ( c ) / t (9b) Hr rprsnts th polluton tax mpos by th orth govrnmnt. ubsttutng ths cost lvls nto th abov ulbrum output an prot lvls ((gvn n (E 7) an (E 8)) an notng thm as j, an ({, j} {, }, j ), w can rv th ollowng socal wlar unctons or outh an orth rspctvly: W C ( c )( ) (10a) W C ( c )( ) (10b) C s th consumr surplus n ach country or th markt stag gam 1. Th optmal polluton taxs or th outh an orth Countrs unr th markt stag gam 1 can b comput by solvng th.o.c. s W / 0an W / 0 smultanously. Dnotng ths ulbrum taxs as an, w can analyz how ths taxs chang wth som crtcal paramtrs o th mol. Proposton 1: Eulbrum polluton taxs o both countrs or th markt stag gam 1 cras as th mploymnt ct o proucton ncrass. 8

9 c b Proo: ( 4). Clarly th trm n parantss s ngatv, thus, 2 b b c 4b 0. mlarly, ( ) 0. 2 b b From ths rsult w can say that whn th mploymnt ct o proucton bcoms mor substantal, countrs crass thr polluton taxs rgarlss o margnal amag o polluton. Whn xchang rat s sucntly low an outh rm has rlatv comptton avantag, outh country prrs not to mpos any polluton tax (or any lvl o ) to captur mor rnt or ts rm n worl markt an to crat mor wag gan. W also analyz how optmal polluton taxs chang wth margnal proucton costs o th rms. Th ollowng Propoposton summarz th rsults. Proposton 2: Eulbrum polluton taxs o both countrs or th markt stag gam 1 ) cras wth th orgn rm s ntal cost lvl ) ncras wth thr own rms ntal cost lvl th mploymnt ct o proucton s sucntly low. Proo: ) c b ( 1) b ( 1). nc, 1, 0. mlarly,. 2( b b ) c c 2( b b ) nc, 1, 0. c ) c ( b 2b ( 2( b 4b b ) ) ). Clarly, 0 c b 2b. 4b mlarly, c (2b b (4b 2( b b ) ) ) an 0 c 2b 4b b. For th low lvls o, ths rsult s n accoranc wth th convntonal rsult o stratgc tra ltratur whch stats that govrnmnts shoul subsz th wnnrs mor. Howvr, whn th mploymnt ct o proucton bcoms sucntly hgh, thn w obsrv a rvrs ct. It s possbl to say that or hgh lvls o, mploymnt ct omnats savantag o th crasng rlatv cncy o 9

10 th omstc rm, thus, govrnmnts prrs to support thr rms mor by lowrng taxs. Du to th complxty o th rvatvs, th cts o xchang rats on polluton taxs ar prorm numrcally. W analyz th snstvty o optmal taxs to xchang rats or rnt lvls o margnal amag o pollutons. Our numrcal analyss 3 show that whn outh currncy valuats crass an ncrass or all lvls o an. Ths can b xplan by th ncntv to subsz th wnnrs (loosrs) mor (lss). Clarly, whn local margnal amag o polluton s hghr th local polluton tax also bcoms hghr (or all lvls o ). It shoul also b not that (n all th numrcal analyss prorm) both taxs ar blow th an or a w rang o paramtrs. Ths rsult s paralll wth Knny (1994) an Barrtt (1994) who show that unr mprct comptton th govrnmnts may hav an ncntv to mpos nvronmntal polcs wakr than th Pgouvan tax 4 to support thr own rms n ntrnatonal comptton nvronmnt. Mor spccally, Barrtt (1994) monstrat that th mo o comptton s mportant, whn rms compt a la Cournot govrnmnts prr wakr nvronmntal polcs, howvr, whn th comptton s a la Brtran govrnmnts choos strongr nvronmntal polcs. It s ntrstng to not that, although th orm o comptton s always Cournot n our mol, or sucntly hgh lvls o, t bcoms hghr than. At hgh lvls o, orth rm has comptton savantag an hghr tax lvls bcoms mor prrabl or th orth Country. 2.2 Markt tag Gam 2: Both Frms Prouc n outh In ths scton, w consr th cas whr th orth rm ngags n a FDI an prouc total output n outh playng a Cournot-ash gam wth th outh rm. In ths cas, th total unt cost o th orth rm whn t slls n outh s (n outh s currncy) 3 umrcal analyss can b obtan rom corrsponng author upon rust. 4 Th Pgouvan tax s known as th optmal nvronmntal tax polcy n prctly compttv markts an s ual to th margnal amag o polluton. 10

11 C c / (11a) whch s th sum o polluton tax rat an margnal cost o proucton. mlarly total unt cost o orth Frm whn t slls n orth (n orth s currncy) s C c t (11b) Dnotng j, an ({, j} {, }, j ) as th Cournot ulbrum output an prot lvls comput at C an C, w can wrt own th socal wlar uncton or orth an outh Countrs, rspctvly, as ollows: W C ( / c )( ) ( c )( ) (12a) W C (12b) C s agan th consumr surplus n ach country or th markt stag gam 2, s th margnal amag o polluton or ach rm. Th trms c ( ) an c ( ) n (12a) rprsnt th mploymnt ct o th proucton by outh an orth Frms rspctvly. By solvng th.o.c., W / 0, w obtan th optmal polluton tax or th outh Country. For ths cas, w not ulbrum polluton tax or outh as. Th ollowng propostons analyz how ths tax changs wth th crtcal paramtrs o our mol. Proposton 3: Whn both rms prouc n outh, ulbrum polluton tax o th outh country crass as th mploymnt ct o proucton o both rms ncrass. 3c ( b b ) Proo: 0 6b 10b 3c ( b b ) an smlarly, 0. 6b 10b 11

12 mlar to th markt stag gam 1, whn th mploymnt ct o proucton s hghr, outh govrnmnt prrs to mpos a lowr polluton tax an th rnc n xtnts o ths cts s rlat to th rato o c / c. Proposton 4: Whn both rms prouc n outh, ulbrum polluton tax o th outh country ) crass wth c, ) ncrass wth c th mploymnt ct s sucntly low. 3( b b) Proo: 0. b 3( b b) 0 c (6b 10b ) 2 c (6b 10b ) 3( b b. b ) Intrstngly, rgarlss o how hgh s th mploymnt ct o th orth rm, polluton tax o outh always cras wth ncrasng c, howvr, smlar to th abov, polluton tax ncrass wth c only or sucntly low lvls o mploymnt ct. Obvously, ncrasng c crats a comptton avantag or th local rm n trms o rnt shtng, thus, local govrnmnt supports ths avantag lowrng th tax, bss, thr s an atonal postv mploymnt ct rom th orgn rm, ths tax ructon bcoms vn hghr. Agan, u to th complxts o algbrac uatons, w rsort to numrcal analyss to ncat th rlatonshp btwn an th xchang rat. Our rsults show that, whn outh currncy valuats, crass wth ncrasng or all lvls o an. Ths rsult s contractory wth th ncntv to subsz th wnnrs mor. But, snc both rms ar proucng n outh an lowrng tax crats atonal avantag to th orgn rval rm, outh prrs to ras th tax nsta. Anothr mportant obsrvaton n ths cas s that, n contrary wth Barrtt (1994) rsult, polluton taxs ar always hghr than th margnal amag o polluton (strctr than th Pgovan tax). Obvously, whn both rms ar proucng n outh an th orth rm s prots gos to th orth Country, outh can not tolrat mor aggrgat polluton by lowrng taxs blow th margnal amag o polluton. 12

13 2.3 Markt tag Gam 3: orth Frm plt n ts Proucton btwn Countrs In ths last markt stag gam, orth rm splts ts proucton btwn orth an outh pnng on th locaton o sals. Thus, orth Frm s total unt cost s th sam wth (9a) whn t slls n orth ( C C c ), an s th sam wth (11a) whn t slls n outh ( C C c / ). ubsttutng ths cost lvls nto th abov ulbrum output an prot lvls ((E 7) an (E 8)) an notng thm as j, an ({, j} {, }, j ) or th markt stag gam 3, w can comput th socal wlar unctons or outh an orth rspctvly as ollows: W C ( c )( ) ( / c ) (12a) W C ( c ) (12b) C s th consumr surplus n ach country or th markt stag gam 3. mlar to th prvous two markt stag gams, w comput th optmal polluton taxs or th outh an orth Countrs by solvng th.o.c. s W / 0 an W / 0 smultanously. W not th ulbrum polluton taxs as an. Analyzng th cts o som crtcal paramtrs w obtan th ollowng propostons. Proposton 5: Whn orth rm splts ts proucton btwn outh an orth, ulbrum polluton tax o th outh country always crass wth th mploymnt ct o proucton o ts own rm but may ncras wth th mploymnt ct o proucton o th orth rm. 3c ( b 2b ) Proo: 0 6b 4b c (2b ) but, 0 6b 4b 2b. It s ntrstng to s that whn th orth rm proucs ts total output n outh, th polluton tax o outh always crass wth hghr mploymnt ct, but hr, ths kn o ct s obsrv only or sucntly hgh valus o rlatv wags ( w / w pronounc. ) whch maks th mploymnt ct o th orth rm mor 13

14 Proposton 6: Whn orth rm splt ts proucton btwn orth an outh, ulbrum polluton tax o th outh country ) crass wth c, ) ncrass wth c th mploymnt ct s sucntly low. 2b (1 ) ( ) Proo: 0. 2 c (6b 4b ) c (1 ) 2b (1 2 ) 0 (6b 4b ) 2b. 4b Ths rsult s smlar wth th prvous two cass. It s ntutvly clar that agan hgh mploymnt ct gv ncntv to th govrnmnt to cras th tax burn on ts local rm vn though t bcoms lss compttv aganst th rval. Clarly, th thrshol valus o r among thr cass. Proposton 7: Whn orth rm splt ts proucton btwn orth an outh ulbrum polluton tax o th orth country ) crass wth, ) ncrass wth c th mploymnt ct o th orth rm s sucntly low. Proo: ) 2 c (1 2 ) a an thus, 2c 0. ) c 1 2. Th rsults gvn n Proposton 7 ar paralll wth our prvous nngs. Our numrcal analyss wth rspct to xchang rat shows that whn outh currncy valuats, crass smlar to th rst cas. Howvr, ths rlatonshp can chang pnng on markt paramtrs, urthr analyss s n to not any pattrns. 14

15 Mor ntrstngly, w obsrv that or most o th valus orth govrnmnt prr to st zro taxs (unlss s vry hgh). Morovr, n contrast wth cas whr orth rm proucs th total output n outh, outh may choos a polluton tax blow margnal amag o polluton. For nstanc, whn s low ( ) polluton tax ( ) can b lowr than but hghr than. I thn t s possbl to obsrv that polluton tax s blow th margnal amag o polluton or hgh valus o xchang rats, but abov th margnal amag o polluton or low valus o t. 3. Th Locaton Choc In ths scton, w analyz th rst stag gam whr orth rm cs whr to locat. For ths purpos w substtut ulbrum polluton taxs an costs or ach locaton choc nto th prot uncton gvn n E (8b) an compar or ach rnt locaton choc. Unortunatly, algbrac comparson o ths prots ar ut complx, thus, w prr to prorm som numrcal analyss to prsnt th rsults. Our analyss shows that or a ut w rang o paramtrs, splttng th proucton btwn orth an outh s th prrr choc or th orth rm. W also obsrv that whn margnal amag o polluton s rlatvly low n outh a valuaton o outh s currncy may gv ncntv to th orth rm to mov ts proucton partly to th outh. Ths can b xplan mor by th rlatvly lowr polluton taxs (u to low ) an lowr proucton cost opportunty. nc movng th whol proucton aclty to th outh wll ras th polluton taxs substantally, ths stuaton os not appar to b an ulbrum n non o our numrcal analyss. ummary an Conclusons Ths stuy ocus on how nvronmntal polcs an locaton choc o th rms ar rlat wth xchang rats an labor ntnsty o proucton. In a smpl two-country ntra nustry tra mol, whr thr s a sngl rm n ach o th vlop country orth an th vlopng country outh an ach o ths rms polluts th local nvronmnt. W assum that n th rst stag o th gam, 15

16 orth Frm cs whr to locat. Its chocs ar to stay at hom, mov th proucton aclty to th outh country an splt th proucton btwn two countrs pnng on th sals locaton. In th scon stag outh an orth Countrs rvals th lvl o polluton tax. Dpnng on th locaton choc o th orth rm, rms cs thr country spcc proucton lvls a la Cournot n th thr stag, Accorng to th rsults wth mor labor ntnsty (hghr mploymnt ct) polluton taxs bcom lowr an thus, nvronmntal stanars wakns n most cass o th orth s locaton choc. On th othr han, w obsrv that orth prouc n ts country o orgn outh govrnmnt lowrs th polluton taxs wth a valuaton n ts currncy. Ths tax ructon s to nhanc th comptton avantag o th omstc rm rsult rom th valuaton to hlp capturng mor rnt n th ntrnatonal markt. Whn th orth rm proucs n outh (partly or totally) w obsrv that outh govrnmnt ras th taxs wth valuaton bcaus lowrng tax crats an unsr avantag to th orgn mor cnt rval rm. Mor ntrstngly whn orth prouc n ts country o orgn, polluton taxs n both countrs ar blow th margnal amag o polluton n most cass. Howvr, th orth rm locats only n outh, th polluton taxs ar abov th margnal amag o polluton (hghr than Pgovan taxs). Fnally, splttng th proucton s th most lkly choc or th orth rm. Movng th whol proucton aclty to th outh s not obsrv u to th hgh polluton taxs or any valus o xchang rat an labor ntnsty. Ths stuy s th rst attmpt to xamn th cts o xchang rat an labor ntnsty on nvronmntal polcs an locaton choc. A possbl xtnson o ths analyss s to look at how th rsults chang th govrnmnts clar thr nvronmntal polcs bor th orth rm choos ts locaton. Rrncs Ab K., Zhao L. (2005) Enognous Intrnatonal Jont Vnturs an th Envronmnt. Journal o Intrnatonal Economcs 67: Barrtt,. (1994) tratgc Envronmntal Polcy an Intrnatonal Tra. Journal o Publc Economcs 54:

17 Çlk,. an Orbay, B.Z. (2011) Locaton Choc unr Tra an Envronmntal Polcs, Economc Mollng, ortcomng. Dan J.M., M.E. Lovly an H. Wang (2009), Ar Forgn Invstors Attract to Wak Envronmntal Rgulatons? Evaluatng th Evnc rom Chna, Journal o Dvlopmnt Economcs, 90, Cushman, D.O., (1988) Exchang-rat Uncrtanty an Forgn Drct Invstmnt n th Unt tats, Wltwrtschatlchs Archv, 124, Campa, J. M., (1993), Entry by Forgn Frms n th Unt tats unr Exchang Rat Uncrtanty, Rvw o Economcs an tatstcs, 75, Chakrabart, R. an B. cholnck, (2002) Exchang rat Rgms an Forgn Drct Invstmnt Flows, Wltwrtschatlchs Archv, 138, Golbrg L..,an C.D. Kolsta (1995) Forgn Drct Invstmnt, Exchang Rat Varablty an Dman Uncrtanty, Intrnatonal Economc Rvw, 36, Kayalıca, Ö., an Lahr,. (2005) tratgc Envronmntal Polcs n th Prsnc o Forgn Drct Invstmnt. Envronmntal & Rsourc Economcs 30:1-21 Knny, P.W., (1994) Eulbrum Polluton Taxs n Opn Economs wth Imprct Comptton. Journal o Envronmntal Economcs an Managmnt 27: Lst A.J.an C.Y. Co, (2000), Th Ects o Envronmntal Rgulatons on Forgn Drct Invstmnt, Journal o Envronmntal Economcs an Managmnt, 40,1-20. Markusn, J.R. (1997) Costly Polluton Abatmnt, Compttvnss an Plant Locaton Dcsons. Rsourc an Enrgy Economcs 19: Markusn, J.R., Mory, E.R., Olwlr,. (1993) Envronmntal Polcy whn Markt tructur an Plant Locatons ar Enognous. Journal o Envronmntal Economcs an Managmnt 24: Ulp A., an Valntn, V. (1997) Plant Locaton an tratgc Envronmntal Polcy wth Intr-ctoral Lnkags. Rsourc an Enrgy Economcs 19: Xng, Y. an Kolsta, C.D. (2002) Do Lax Envronmntal Rgulatons Attract Forgn Invstmnt? Envronmntal & Rsourc Economcs 21:

Guo, James C.Y. (1998). "Overland Flow on a Pervious Surface," IWRA International J. of Water, Vol 23, No 2, June.

Guo, James C.Y. (1998). Overland Flow on a Pervious Surface, IWRA International J. of Water, Vol 23, No 2, June. Guo, Jams C.Y. (006). Knmatc Wav Unt Hyrograph for Storm Watr Prctons, Vol 3, No. 4, ASCE J. of Irrgaton an Dranag Engnrng, July/August. Guo, Jams C.Y. (998). "Ovrlan Flow on a Prvous Surfac," IWRA Intrnatonal

More information

September 27, Introduction to Ordinary Differential Equations. ME 501A Seminar in Engineering Analysis Page 1. Outline

September 27, Introduction to Ordinary Differential Equations. ME 501A Seminar in Engineering Analysis Page 1. Outline Introucton to Ornar Dffrntal Equatons Sptmbr 7, 7 Introucton to Ornar Dffrntal Equatons Larr artto Mchancal Engnrng AB Smnar n Engnrng Analss Sptmbr 7, 7 Outln Rvw numrcal solutons Bascs of ffrntal quatons

More information

Economics 600: August, 2007 Dynamic Part: Problem Set 5. Problems on Differential Equations and Continuous Time Optimization

Economics 600: August, 2007 Dynamic Part: Problem Set 5. Problems on Differential Equations and Continuous Time Optimization THE UNIVERSITY OF MARYLAND COLLEGE PARK, MARYLAND Economcs 600: August, 007 Dynamc Part: Problm St 5 Problms on Dffrntal Equatons and Contnuous Tm Optmzaton Quston Solv th followng two dffrntal quatons.

More information

CHAPTER 33: PARTICLE PHYSICS

CHAPTER 33: PARTICLE PHYSICS Collg Physcs Studnt s Manual Chaptr 33 CHAPTER 33: PARTICLE PHYSICS 33. THE FOUR BASIC FORCES 4. (a) Fnd th rato of th strngths of th wak and lctromagntc forcs undr ordnary crcumstancs. (b) What dos that

More information

+ f. e f. Ch. 8 Inflation, Interest Rates & FX Rates. Purchasing Power Parity. Purchasing Power Parity

+ f. e f. Ch. 8 Inflation, Interest Rates & FX Rates. Purchasing Power Parity. Purchasing Power Parity Ch. 8 Inlation, Intrst Rats & FX Rats Topics Purchasing Powr Parity Intrnational Fishr Ect Purchasing Powr Parity Purchasing Powr Parity (PPP: Th purchasing powr o a consumr will b similar whn purchasing

More information

Fakultät III Univ.-Prof. Dr. Jan Franke-Viebach

Fakultät III Univ.-Prof. Dr. Jan Franke-Viebach Unv.Prof. r. J. FrankVbach WS 067: Intrnatonal Economcs ( st xam prod) Unvrstät Sgn Fakultät III Unv.Prof. r. Jan FrankVbach Exam Intrnatonal Economcs Wntr Smstr 067 ( st Exam Prod) Avalabl tm: 60 mnuts

More information

Fakultät III Wirtschaftswissenschaften Univ.-Prof. Dr. Jan Franke-Viebach

Fakultät III Wirtschaftswissenschaften Univ.-Prof. Dr. Jan Franke-Viebach Unvrstät Sgn Fakultät III Wrtschaftswssnschaftn Unv.-rof. Dr. Jan Frank-Vbach Exam Intrnatonal Fnancal Markts Summr Smstr 206 (2 nd Exam rod) Avalabl tm: 45 mnuts Soluton For your attnton:. las do not

More information

Ερωτήσεις και ασκησεις Κεφ. 10 (για μόρια) ΠΑΡΑΔΟΣΗ 29/11/2016. (d)

Ερωτήσεις και ασκησεις Κεφ. 10 (για μόρια) ΠΑΡΑΔΟΣΗ 29/11/2016. (d) Ερωτήσεις και ασκησεις Κεφ 0 (για μόρια ΠΑΡΑΔΟΣΗ 9//06 Th coffcnt A of th van r Waals ntracton s: (a A r r / ( r r ( (c a a a a A r r / ( r r ( a a a a A r r / ( r r a a a a A r r / ( r r 4 a a a a 0 Th

More information

The Interaction and Sequencing of Policy Reforms*

The Interaction and Sequencing of Policy Reforms* Fral Rsrv Bank of Mnnapols Rsarch Dpartmnt Staff Rport 521 May 2016 Th Intracton an Squncng of Polcy Rforms* Jos Asturas School of Forgn Srvc n Qatar, Gorgtown Unvrsy Swon Hur Unvrsy of Ptsburgh Tmothy

More information

APPENDIX H CONSTANT VOLTAGE BEHIND TRANSIENT REACTANCE GENERATOR MODEL

APPENDIX H CONSTANT VOLTAGE BEHIND TRANSIENT REACTANCE GENERATOR MODEL APPNDIX H CONSAN VOAG BHIND RANSIN RACANC GNRAOR MOD h mprov two gnrator mo uss th constant votag bhn transnt ractanc gnrator mo. hs mo gnors magntc sancy; assums th opratng ractanc of th gnrator s th

More information

First derivative analysis

First derivative analysis Robrto s Nots on Dirntial Calculus Chaptr 8: Graphical analysis Sction First drivativ analysis What you nd to know alrady: How to us drivativs to idntiy th critical valus o a unction and its trm points

More information

A Note on Estimability in Linear Models

A Note on Estimability in Linear Models Intrnatonal Journal of Statstcs and Applcatons 2014, 4(4): 212-216 DOI: 10.5923/j.statstcs.20140404.06 A Not on Estmablty n Lnar Modls S. O. Adymo 1,*, F. N. Nwob 2 1 Dpartmnt of Mathmatcs and Statstcs,

More information

The Hyperelastic material is examined in this section.

The Hyperelastic material is examined in this section. 4. Hyprlastcty h Hyprlastc matral s xad n ths scton. 4..1 Consttutv Equatons h rat of chang of ntrnal nrgy W pr unt rfrnc volum s gvn by th strss powr, whch can b xprssd n a numbr of dffrnt ways (s 3.7.6):

More information

Journal of Theoretical and Applied Information Technology 10 th January Vol. 47 No JATIT & LLS. All rights reserved.

Journal of Theoretical and Applied Information Technology 10 th January Vol. 47 No JATIT & LLS. All rights reserved. Journal o Thortcal and Appld Inormaton Tchnology th January 3. Vol. 47 No. 5-3 JATIT & LLS. All rghts rsrvd. ISSN: 99-8645 www.att.org E-ISSN: 87-395 RESEARCH ON PROPERTIES OF E-PARTIAL DERIVATIVE OF LOGIC

More information

Advanced Macroeconomics

Advanced Macroeconomics Advancd Macroconomcs Chaptr 18 INFLATION, UNEMPLOYMENT AND AGGREGATE SUPPLY Thms of th chaptr Nomnal rgdts, xpctatonal rrors and mploymnt fluctuatons. Th short-run trad-off btwn nflaton and unmploymnt.

More information

CHAPTER 7d. DIFFERENTIATION AND INTEGRATION

CHAPTER 7d. DIFFERENTIATION AND INTEGRATION CHAPTER 7d. DIFFERENTIATION AND INTEGRATION A. J. Clark School o Engnrng Dpartmnt o Cvl and Envronmntal Engnrng by Dr. Ibrahm A. Assakka Sprng ENCE - Computaton Mthods n Cvl Engnrng II Dpartmnt o Cvl and

More information

COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP

COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP ISAHP 00, Bal, Indonsa, August -9, 00 COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP Chkako MIYAKE, Kkch OHSAWA, Masahro KITO, and Masaak SHINOHARA Dpartmnt of Mathmatcal Informaton Engnrng

More information

The Interaction and Sequencing of Policy Reforms*

The Interaction and Sequencing of Policy Reforms* Fral Rsrv Bank of Mnnapols Rsarch Dpartmnt Staff Rport 52 Novmbr 205 Th Intracton an Squncng of Polcy Rforms* Jos Asturas School of Forgn Srvc n Qatar, Gorgtown Unvrsy Swon Hur Unvrsy of Ptsburgh Tmothy

More information

Heisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari

Heisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari snbrg Modl Sad Mohammad Mahd Sadrnhaad Survsor: Prof. bdollah Langar bstract: n ths rsarch w tr to calculat analtcall gnvalus and gnvctors of fnt chan wth ½-sn artcls snbrg modl. W drov gnfuctons for closd

More information

SØK/ECON 535 Imperfect Competition and Strategic Interaction. In the absence of entry barriers firms cannot make supernormal profits.

SØK/ECON 535 Imperfect Competition and Strategic Interaction. In the absence of entry barriers firms cannot make supernormal profits. SØK/ECON 535 Imprfct Comptton and Stratgc Intracton ENTRY AND EXIT Lctur nots 09.10.0 Introducton In th absnc of ntry barrrs frms cannot mak suprnormal profts. Barrrs to ntry govrnmnt rgulatons tchnologcal

More information

Grand Canonical Ensemble

Grand Canonical Ensemble Th nsmbl of systms mmrsd n a partcl-hat rsrvor at constant tmpratur T, prssur P, and chmcal potntal. Consdr an nsmbl of M dntcal systms (M =,, 3,...M).. Thy ar mutually sharng th total numbr of partcls

More information

Lecture 3: Phasor notation, Transfer Functions. Context

Lecture 3: Phasor notation, Transfer Functions. Context EECS 5 Fall 4, ctur 3 ctur 3: Phasor notaton, Transfr Functons EECS 5 Fall 3, ctur 3 Contxt In th last lctur, w dscussd: how to convrt a lnar crcut nto a st of dffrntal quatons, How to convrt th st of

More information

Small Countries and Preferential Trade Agreements * How severe is the innocent bystander problem?

Small Countries and Preferential Trade Agreements * How severe is the innocent bystander problem? Small Countrs and Prfrntal Trad Agrmnts * How svr s th nnocnt bystandr problm? M. Ayhan Kos a and Raymond Rzman b Rvsd: 9/2/99 Prntd: 1/6/99 Abstract: Ths papr xamns th wlfar mplcatons of prfrntal trad

More information

cycle that does not cross any edges (including its own), then it has at least

cycle that does not cross any edges (including its own), then it has at least W prov th following thorm: Thorm If a K n is drawn in th plan in such a way that it has a hamiltonian cycl that dos not cross any dgs (including its own, thn it has at last n ( 4 48 π + O(n crossings Th

More information

Appendix of Debt Financing in Asset Markets

Appendix of Debt Financing in Asset Markets Appnx of Dbt Fnancng n Asst Markts ZHIGUO HE WEI XIONG Ts onln appnx provs a mor tal scrpton of t mol scuss n t man papr, an lsts all of t propostons an proofs. T appnx also xtns t mol to N pros. W scrb

More information

PROBLEM SET Problem 1.

PROBLEM SET Problem 1. PROLEM SET 1 PROFESSOR PETER JOHNSTONE 1. Problm 1. 1.1. Th catgory Mat L. OK, I m not amiliar with th trminology o partially orr sts, so lt s go ovr that irst. Dinition 1.1. partial orr is a binary rlation

More information

GERMAN ECONOMIC ASSOCIATION OF BUSINESS ADMINISTRATION GEABA IX. SYMPOSIUM ZUR ÖKONOMISCHEN ANALYSE

GERMAN ECONOMIC ASSOCIATION OF BUSINESS ADMINISTRATION GEABA IX. SYMPOSIUM ZUR ÖKONOMISCHEN ANALYSE IX. SYMPOSIUM ZUR KONOMISCHEN ANALYSE DER UNTERNEHMUNG Fbac n Tournamnts unr Commtmnt Problms: Thory an Exprmntal Evnc Chrstn Harbrng & Olvr Grtlr Ssson E GERMAN ECONOMIC ASSOCIATION OF USINESS ADMINISTRATION

More information

Estimation of Population Variance Using a Generalized Double Sampling Estimator

Estimation of Population Variance Using a Generalized Double Sampling Estimator r Laka Joural o Appl tatstcs Vol 5-3 stmato o Populato Varac Us a Gralz Doubl ampl stmator Push Msra * a R. Kara h Dpartmt o tatstcs D.A.V.P.G. Coll Dhrau- 8 Uttarakha Ia. Dpartmt o tatstcs Luckow Uvrst

More information

Optimal Ordering Policy in a Two-Level Supply Chain with Budget Constraint

Optimal Ordering Policy in a Two-Level Supply Chain with Budget Constraint Optmal Ordrng Polcy n a Two-Lvl Supply Chan wth Budgt Constrant Rasoul aj Alrza aj Babak aj ABSTRACT Ths papr consdrs a two- lvl supply chan whch consst of a vndor and svral rtalrs. Unsatsfd dmands n rtalrs

More information

ST 524 NCSU - Fall 2008 One way Analysis of variance Variances not homogeneous

ST 524 NCSU - Fall 2008 One way Analysis of variance Variances not homogeneous ST 54 NCSU - Fall 008 On way Analyss of varanc Varancs not homognous On way Analyss of varanc Exampl (Yandll, 997) A plant scntst masurd th concntraton of a partcular vrus n plant sap usng ELISA (nzym-lnkd

More information

ph People Grade Level: basic Duration: minutes Setting: classroom or field site

ph People Grade Level: basic Duration: minutes Setting: classroom or field site ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:

More information

Capital Allocation and International Equilibrium with Pollution Permits *

Capital Allocation and International Equilibrium with Pollution Permits * Modrn conomy 3 87-99 http://dx.do.org/.436/m..36 Publshd Onln March (http://www.scrp.org/journal/m) Captal Allocaton Intrnatonal qulbrum wth Polluton Prmts * Prr-André Jouvt Glls Rotllon conomx Unvrsty

More information

Chapter 13 Aggregate Supply

Chapter 13 Aggregate Supply Chaptr 13 Aggrgat Supply 0 1 Larning Objctivs thr modls of aggrgat supply in which output dpnds positivly on th pric lvl in th short run th short-run tradoff btwn inflation and unmploymnt known as th Phillips

More information

Lucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn.

Lucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn. Modul 10 Addtonal Topcs 10.1 Lctur 1 Prambl: Dtrmnng whthr a gvn ntgr s prm or compost s known as prmalty tstng. Thr ar prmalty tsts whch mrly tll us whthr a gvn ntgr s prm or not, wthout gvng us th factors

More information

Schematic of a mixed flow reactor (both advection and dispersion must be accounted for)

Schematic of a mixed flow reactor (both advection and dispersion must be accounted for) Cas stuy 6.1, R: Chapra an Canal, p. 769. Th quation scribin th concntration o any tracr in an lonat ractor is known as th avction-isprsion quation an may b writtn as: Schmatic o a mi low ractor (both

More information

Physics of Very High Frequency (VHF) Capacitively Coupled Plasma Discharges

Physics of Very High Frequency (VHF) Capacitively Coupled Plasma Discharges Physcs of Vry Hgh Frquncy (VHF) Capactvly Coupld Plasma Dschargs Shahd Rauf, Kallol Bra, Stv Shannon, and Kn Collns Appld Matrals, Inc., Sunnyval, CA AVS 54 th Intrnatonal Symposum Sattl, WA Octobr 15-19,

More information

3) Use the average steady-state equation to determine the dose. Note that only 100 mg tablets of aminophylline are available here.

3) Use the average steady-state equation to determine the dose. Note that only 100 mg tablets of aminophylline are available here. PHA 5127 Dsigning A Dosing Rgimn Answrs provi by Jry Stark Mr. JM is to b start on aminophyllin or th tratmnt o asthma. H is a non-smokr an wighs 60 kg. Dsign an oral osing rgimn or this patint such that

More information

Endogenous timing in a mixed oligopoly consisting of a single public firm and foreign competitors. Abstract

Endogenous timing in a mixed oligopoly consisting of a single public firm and foreign competitors. Abstract Endogenous tmng n a mxed olgopoly consstng o a sngle publc rm and oregn compettors Yuanzhu Lu Chna Economcs and Management Academy, Central Unversty o Fnance and Economcs Abstract We nvestgate endogenous

More information

First order differential equation Linear equation; Method of integrating factors

First order differential equation Linear equation; Method of integrating factors First orr iffrntial quation Linar quation; Mtho of intgrating factors Exampl 1: Rwrit th lft han si as th rivativ of th prouct of y an som function by prouct rul irctly. Solving th first orr iffrntial

More information

Review - Probabilistic Classification

Review - Probabilistic Classification Mmoral Unvrsty of wfoundland Pattrn Rcognton Lctur 8 May 5, 6 http://www.ngr.mun.ca/~charlsr Offc Hours: Tusdays Thursdays 8:3-9:3 PM E- (untl furthr notc) Gvn lablld sampls { ɛc,,,..., } {. Estmat Rvw

More information

6.1 Integration by Parts and Present Value. Copyright Cengage Learning. All rights reserved.

6.1 Integration by Parts and Present Value. Copyright Cengage Learning. All rights reserved. 6.1 Intgration by Parts and Prsnt Valu Copyright Cngag Larning. All rights rsrvd. Warm-Up: Find f () 1. F() = ln(+1). F() = 3 3. F() =. F() = ln ( 1) 5. F() = 6. F() = - Objctivs, Day #1 Studnts will b

More information

Multiple Short Term Infusion Homework # 5 PHA 5127

Multiple Short Term Infusion Homework # 5 PHA 5127 Multipl Short rm Infusion Homwork # 5 PHA 527 A rug is aministr as a short trm infusion. h avrag pharmacokintic paramtrs for this rug ar: k 0.40 hr - V 28 L his rug follows a on-compartmnt boy mol. A 300

More information

Abstract Interpretation: concrete and abstract semantics

Abstract Interpretation: concrete and abstract semantics Abstract Intrprtation: concrt and abstract smantics Concrt smantics W considr a vry tiny languag that manags arithmtic oprations on intgrs valus. Th (concrt) smantics of th languags cab b dfind by th funzcion

More information

Chapter 14 Aggregate Supply and the Short-run Tradeoff Between Inflation and Unemployment

Chapter 14 Aggregate Supply and the Short-run Tradeoff Between Inflation and Unemployment Chaptr 14 Aggrgat Supply and th Short-run Tradoff Btwn Inflation and Unmploymnt Modifid by Yun Wang Eco 3203 Intrmdiat Macroconomics Florida Intrnational Univrsity Summr 2017 2016 Worth Publishrs, all

More information

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic

More information

On Vertical Integration, Regulation and Non-Price Discrimination in German Electricity Markets

On Vertical Integration, Regulation and Non-Price Discrimination in German Electricity Markets Frst raft (ncomplt) On Vrtcal Intgraton, Rgulaton an Non-Prc Dscrmnaton n Grman Elctrcty Markts I. Introucton Vrtcal sparaton s a ky ssu n Europan nrgy markts, n partcular snc th DG Comptton has ntat a

More information

The second condition says that a node α of the tree has exactly n children if the arity of its label is n.

The second condition says that a node α of the tree has exactly n children if the arity of its label is n. CS 6110 S14 Hanout 2 Proof of Conflunc 27 January 2014 In this supplmntary lctur w prov that th λ-calculus is conflunt. This is rsult is u to lonzo Church (1903 1995) an J. arkly Rossr (1907 1989) an is

More information

A Probabilistic Characterization of Simulation Model Uncertainties

A Probabilistic Characterization of Simulation Model Uncertainties A Proalstc Charactrzaton of Sulaton Modl Uncrtants Vctor Ontvros Mohaad Modarrs Cntr for Rsk and Rlalty Unvrsty of Maryland 1 Introducton Thr s uncrtanty n odl prdctons as wll as uncrtanty n xprnts Th

More information

Pipe flow friction, small vs. big pipes

Pipe flow friction, small vs. big pipes Friction actor (t/0 t o pip) Friction small vs larg pips J. Chaurtt May 016 It is an intrsting act that riction is highr in small pips than largr pips or th sam vlocity o low and th sam lngth. Friction

More information

Equilibrium income and monetary policy strategy: teaching macroeconomics with the MP curve

Equilibrium income and monetary policy strategy: teaching macroeconomics with the MP curve MPRA Munch Prsonal RPEc Archv Equlbrum ncom and montary polcy stratgy: tachng macroconomcs wth th MP curv Rosara Rta Canal Dpartmnto d Stud Economc, Unvrstà d Napol Parthnop 18. Dcmbr 2008 Onln at http://mpra.ub.un-munchn.d/12255/

More information

FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAMS

FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAMS Journal of Appl Mathatcs an Coputatonal Mchancs, (), 9- FREE VIBRATION ANAYSIS OF FNCTIONAY GRADED BEAMS Stansław Kukla, Jowta Rychlwska Insttut of Mathatcs, Czstochowa nvrsty of Tchnology Czstochowa,

More information

Naresuan University Journal: Science and Technology 2018; (26)1

Naresuan University Journal: Science and Technology 2018; (26)1 Narsuan Unvrsty Journal: Scnc and Tchnology 018; (6)1 Th Dvlopmnt o a Corrcton Mthod or Ensurng a Contnuty Valu o Th Ch-squar Tst wth a Small Expctd Cll Frquncy Kajta Matchma 1 *, Jumlong Vongprasrt and

More information

Review of Marketing Science

Review of Marketing Science Rvw of Marktng Scnc V o l u m 9 2011 Artcl 1 Solvng Shar Equatons n Logt Modls Usng th LambrtW Functon Ashwn Aravndakshan Bran Ratchford Unvrsty of Calforna, Davs, aaravnd@ucdavs.du Unvrsty of T x a s

More information

u x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula

u x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula 7. Intgration by Parts Each drivativ formula givs ris to a corrsponding intgral formula, as w v sn many tims. Th drivativ product rul yilds a vry usful intgration tchniqu calld intgration by parts. Starting

More information

Inflation and Unemployment

Inflation and Unemployment C H A P T E R 13 Aggrgat Supply and th Short-run Tradoff Btwn Inflation and Unmploymnt MACROECONOMICS SIXTH EDITION N. GREGORY MANKIW PowrPoint Slids by Ron Cronovich 2008 Worth Publishrs, all rights rsrvd

More information

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below.

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below. oa Euatons Thoughout all of chapt 4, ou focus s on th machn tslf, thfo w wll only pfom a y smpl tatmnt of th ntwok n o to s a complt mol. W o that h, but alz that w wll tun to ths ssu n Chapt 9. So lt

More information

NEW APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA

NEW APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA NE APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA Mirca I CÎRNU Ph Dp o Mathmatics III Faculty o Applid Scincs Univrsity Polithnica o Bucharst Cirnumirca @yahoocom Abstract In a rcnt papr [] 5 th indinit intgrals

More information

Add sodium hydroxide solution

Add sodium hydroxide solution , :::.l9 &30 ~!fjrkh:+l. ~ S/::T..:=4... A studnt has four solutons lablld A, B, C and D. Each soluton contans on compound from th followng lst: FCh Th studnt dos som smpl tsts to dntfy th compounds prsnt.

More information

Two Products Manufacturer s Production Decisions with Carbon Constraint

Two Products Manufacturer s Production Decisions with Carbon Constraint Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint

More information

Brief Introduction to Statistical Mechanics

Brief Introduction to Statistical Mechanics Brif Introduction to Statistical Mchanics. Purpos: Ths nots ar intndd to provid a vry quick introduction to Statistical Mchanics. Th fild is of cours far mor vast than could b containd in ths fw pags.

More information

Group Codes Define Over Dihedral Groups of Small Order

Group Codes Define Over Dihedral Groups of Small Order Malaysan Journal of Mathmatcal Scncs 7(S): 0- (0) Spcal Issu: Th rd Intrnatonal Confrnc on Cryptology & Computr Scurty 0 (CRYPTOLOGY0) MALAYSIA JOURAL OF MATHEMATICAL SCIECES Journal hompag: http://nspm.upm.du.my/ournal

More information

The Open Economy in the Short Run

The Open Economy in the Short Run Economics 442 Mnzi D. Chinn Spring 208 Social Scincs 748 Univrsity of Wisconsin-Madison Th Opn Economy in th Short Run This st of nots outlins th IS-LM modl of th opn conomy. First, it covrs an accounting

More information

Elements of Statistical Thermodynamics

Elements of Statistical Thermodynamics 24 Elmnts of Statistical Thrmodynamics Statistical thrmodynamics is a branch of knowldg that has its own postulats and tchniqus. W do not attmpt to giv hr vn an introduction to th fild. In this chaptr,

More information

Higher order derivatives

Higher order derivatives Robrto s Nots on Diffrntial Calculus Chaptr 4: Basic diffrntiation ruls Sction 7 Highr ordr drivativs What you nd to know alrady: Basic diffrntiation ruls. What you can larn hr: How to rpat th procss of

More information

4. Money cannot be neutral in the short-run the neutrality of money is exclusively a medium run phenomenon.

4. Money cannot be neutral in the short-run the neutrality of money is exclusively a medium run phenomenon. PART I TRUE/FALSE/UNCERTAIN (5 points ach) 1. Lik xpansionary montary policy, xpansionary fiscal policy rturns output in th mdium run to its natural lvl, and incrass prics. Thrfor, fiscal policy is also

More information

Radial Cataphoresis in Hg-Ar Fluorescent Lamp Discharges at High Power Density

Radial Cataphoresis in Hg-Ar Fluorescent Lamp Discharges at High Power Density [NWP.19] Radal Cataphorss n Hg-Ar Fluorscnt Lamp schargs at Hgh Powr nsty Y. Aura, G. A. Bonvallt, J. E. Lawlr Unv. of Wsconsn-Madson, Physcs pt. ABSTRACT Radal cataphorss s a procss n whch th lowr onzaton

More information

10/7/14. Mixture Models. Comp 135 Introduction to Machine Learning and Data Mining. Maximum likelihood estimation. Mixture of Normals in 1D

10/7/14. Mixture Models. Comp 135 Introduction to Machine Learning and Data Mining. Maximum likelihood estimation. Mixture of Normals in 1D Comp 35 Introducton to Machn Larnng and Data Mnng Fall 204 rofssor: Ron Khardon Mxtur Modls Motvatd by soft k-mans w dvlopd a gnratv modl for clustrng. Assum thr ar k clustrs Clustrs ar not rqurd to hav

More information

Reliability of time dependent stress-strength system for various distributions

Reliability of time dependent stress-strength system for various distributions IOS Joural of Mathmatcs (IOS-JM ISSN: 78-578. Volum 3, Issu 6 (Sp-Oct., PP -7 www.osrjourals.org lablty of tm dpdt strss-strgth systm for varous dstrbutos N.Swath, T.S.Uma Mahswar,, Dpartmt of Mathmatcs,

More information

Risk aversion and debt maturity structure

Risk aversion and debt maturity structure Rsk avrson an bt matrty strctr Jorg Frnánz Rz* y Blanca Ccla García Mna* Fcha rcpcón: 6 mayo 2002; fcha acptacón: 4 fbrro 2003 Abstract: W sty th rlatonshp of rsk avrson an bt matrty strctr. n a mol n

More information

Partial Derivatives: Suppose that z = f(x, y) is a function of two variables.

Partial Derivatives: Suppose that z = f(x, y) is a function of two variables. Chaptr Functions o Two Variabls Applid Calculus 61 Sction : Calculus o Functions o Two Variabls Now that ou hav som amiliarit with unctions o two variabls it s tim to start appling calculus to hlp us solv

More information

SPH4U Electric Charges and Electric Fields Mr. LoRusso

SPH4U Electric Charges and Electric Fields Mr. LoRusso SPH4U lctric Chargs an lctric Fils Mr. LoRusso lctricity is th flow of lctric charg. Th Grks first obsrv lctrical forcs whn arly scintists rubb ambr with fur. Th notic thy coul attract small bits of straw

More information

LR(0) Analysis. LR(0) Analysis

LR(0) Analysis. LR(0) Analysis LR() Analysis LR() Conlicts: Introuction Whn constructing th LR() analysis tal scri in th prvious stps, it has not n possil to gt a trministic analysr, caus thr ar svral possil actions in th sam cll. I

More information

Search sequence databases 3 10/25/2016

Search sequence databases 3 10/25/2016 Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an

More information

Logistic Regression I. HRP 261 2/10/ am

Logistic Regression I. HRP 261 2/10/ am Logstc Rgrsson I HRP 26 2/0/03 0- am Outln Introducton/rvw Th smplst logstc rgrsson from a 2x2 tabl llustrats how th math works Stp-by-stp xampls to b contnud nxt tm Dummy varabls Confoundng and ntracton

More information

ME 200 Thermodynamics I Spring 2014 Examination 3 Thu 4/10/14 6:30 7:30 PM WTHR 200, CL50 224, PHY 112 LAST NAME FIRST NAME

ME 200 Thermodynamics I Spring 2014 Examination 3 Thu 4/10/14 6:30 7:30 PM WTHR 200, CL50 224, PHY 112 LAST NAME FIRST NAME M 00 hrodynac Sprng 014 xanaton 3 hu 4/10/14 6:30 7:30 PM WHR 00, CL50 4, PHY 11 Crcl your dvon: PHY 11 WHR 00 WHR 00 CL50 4 CL50 4 PHY 11 7:30 Joglkar 9:30 Wagrn 10:30 Gor 1:30 Chn :30 Woodland 4:30 Srcar

More information

External Equivalent. EE 521 Analysis of Power Systems. Chen-Ching Liu, Boeing Distinguished Professor Washington State University

External Equivalent. EE 521 Analysis of Power Systems. Chen-Ching Liu, Boeing Distinguished Professor Washington State University xtrnal quvalnt 5 Analyss of Powr Systms Chn-Chng Lu, ong Dstngushd Profssor Washngton Stat Unvrsty XTRNAL UALNT ach powr systm (ara) s part of an ntrconnctd systm. Montorng dvcs ar nstalld and data ar

More information

Folding of Regular CW-Complexes

Folding of Regular CW-Complexes Ald Mathmatcal Scncs, Vol. 6,, no. 83, 437-446 Foldng of Rgular CW-Comlxs E. M. El-Kholy and S N. Daoud,3. Dartmnt of Mathmatcs, Faculty of Scnc Tanta Unvrsty,Tanta,Egyt. Dartmnt of Mathmatcs, Faculty

More information

Tax Evasion and Auditing in a Federal Economy *

Tax Evasion and Auditing in a Federal Economy * Tax Evason and Audtng n a Fdral Economy * Svn Stöwhas Chrstan Traxlr Unvrsty of Munch Unvrsty of Munch Frst Draft Ths Vrson: Aprl 004 Plas do not quot or ct wthout prmsson of th Authors. Abstract Ths papr

More information

JEE-2017 : Advanced Paper 2 Answers and Explanations

JEE-2017 : Advanced Paper 2 Answers and Explanations DE 9 JEE-07 : Advancd Papr Answrs and Explanatons Physcs hmstry Mathmatcs 0 A, B, 9 A 8 B, 7 B 6 B, D B 0 D 9, D 8 D 7 A, B, D A 0 A,, D 9 8 * A A, B A B, D 0 B 9 A, D 5 D A, B A,B,,D A 50 A, 6 5 A D B

More information

Chapter 6 Student Lecture Notes 6-1

Chapter 6 Student Lecture Notes 6-1 Chaptr 6 Studnt Lctur Nots 6-1 Chaptr Goals QM353: Busnss Statstcs Chaptr 6 Goodnss-of-Ft Tsts and Contngncy Analyss Aftr compltng ths chaptr, you should b abl to: Us th ch-squar goodnss-of-ft tst to dtrmn

More information

Modeling and Simulation Analysis of Power Frequency Electric Field of UHV AC Transmission Line

Modeling and Simulation Analysis of Power Frequency Electric Field of UHV AC Transmission Line (IJACSA) Intrnatonal Journal of Advancd Computr Scnc and Applcatons, Vol., o., Modlng and Smulaton Analyss of Powr Frquncy Elctrc Fld of UHV AC Transmsson Ln Chn Han Collg of Elctronc and Elctrcal Engnrng

More information

Consider a system of 2 simultaneous first order linear equations

Consider a system of 2 simultaneous first order linear equations Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm

More information

Hydrogen Atom and One Electron Ions

Hydrogen Atom and One Electron Ions Hydrogn Atom and On Elctron Ions Th Schrödingr quation for this two-body problm starts out th sam as th gnral two-body Schrödingr quation. First w sparat out th motion of th cntr of mass. Th intrnal potntial

More information

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding...

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding... Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg

More information

Section 6.1. Question: 2. Let H be a subgroup of a group G. Then H operates on G by left multiplication. Describe the orbits for this operation.

Section 6.1. Question: 2. Let H be a subgroup of a group G. Then H operates on G by left multiplication. Describe the orbits for this operation. MAT 444 H Barclo Spring 004 Homwork 6 Solutions Sction 6 Lt H b a subgroup of a group G Thn H oprats on G by lft multiplication Dscrib th orbits for this opration Th orbits of G ar th right costs of H

More information

3.4 Properties of the Stress Tensor

3.4 Properties of the Stress Tensor cto.4.4 Proprts of th trss sor.4. trss rasformato Lt th compots of th Cauchy strss tsor a coordat systm wth bas vctors b. h compots a scod coordat systm wth bas vctors j,, ar gv by th tsor trasformato

More information

Diploma Macro Paper 2

Diploma Macro Paper 2 Diploma Macro Papr 2 Montary Macroconomics Lctur 6 Aggrgat supply and putting AD and AS togthr Mark Hays 1 Exognous: M, G, T, i*, π Goods markt KX and IS (Y, C, I) Mony markt (LM) (i, Y) Labour markt (P,

More information

Filter Design Techniques

Filter Design Techniques Fltr Dsgn chnqus Fltr Fltr s systm tht psss crtn frquncy componnts n totlly rcts ll othrs Stgs of th sgn fltr Spcfcton of th sr proprts of th systm ppromton of th spcfcton usng cusl scrt-tm systm Rlzton

More information

Linear Algebra. Definition The inverse of an n by n matrix A is an n by n matrix B where, Properties of Matrix Inverse. Minors and cofactors

Linear Algebra. Definition The inverse of an n by n matrix A is an n by n matrix B where, Properties of Matrix Inverse. Minors and cofactors Dfnton Th nvr of an n by n atrx A an n by n atrx B whr, Not: nar Algbra Matrx Invron atrc on t hav an nvr. If a atrx ha an nvr, thn t call. Proprt of Matrx Invr. If A an nvrtbl atrx thn t nvr unqu.. (A

More information

Y 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall

Y 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall Staning Wav Intrfrnc btwn th incint & rflct wavs Staning wav A string with on n fix on a wall Incint: y, t) Y cos( t ) 1( Y 1 ( ) Y (St th incint wav s phas to b, i.., Y + ral & positiv.) Rflct: y, t)

More information

8. Linear Contracts under Risk Neutrality

8. Linear Contracts under Risk Neutrality 8. Lnr Contrcts undr Rsk Nutrlty Lnr contrcts r th smplst form of contrcts nd thy r vry populr n pplctons. Thy offr smpl ncntv mchnsm. Exmpls of lnr contrcts r mny: contrctul jont vnturs, quty jont vnturs,

More information

dr Bartłomiej Rokicki Chair of Macroeconomics and International Trade Theory Faculty of Economic Sciences, University of Warsaw

dr Bartłomiej Rokicki Chair of Macroeconomics and International Trade Theory Faculty of Economic Sciences, University of Warsaw dr Bartłomij Rokicki Chair of Macroconomics and Intrnational Trad Thory Faculty of Economic Scincs, Univrsity of Warsaw dr Bartłomij Rokicki Opn Economy Macroconomics Small opn conomy. Main assumptions

More information

Department of Mathematics and Statistics Indian Institute of Technology Kanpur MSO202A/MSO202 Assignment 3 Solutions Introduction To Complex Analysis

Department of Mathematics and Statistics Indian Institute of Technology Kanpur MSO202A/MSO202 Assignment 3 Solutions Introduction To Complex Analysis Dpartmt of Mathmatcs ad Statstcs Ida Isttut of Tchology Kapur MSOA/MSO Assgmt 3 Solutos Itroducto To omplx Aalyss Th problms markd (T) d a xplct dscusso th tutoral class. Othr problms ar for hacd practc..

More information

Two Stage Procurement Processes With Competitive Suppliers and Uncertain Supplier Quality

Two Stage Procurement Processes With Competitive Suppliers and Uncertain Supplier Quality Unvrsty of Nbraska - Lncoln DgtalCommons@Unvrsty of Nbraska - Lncoln Supply Chan Managmnt and Analytcs Publcatons Busnss, Collg of 2014 Two Stag Procurmnt Procsss Wth Compttv Supplrs and Uncrtan Supplr

More information

Supplementary Materials

Supplementary Materials 6 Supplmntary Matrials APPENDIX A PHYSICAL INTERPRETATION OF FUEL-RATE-SPEED FUNCTION A truck running on a road with grad/slop θ positiv if moving up and ngativ if moving down facs thr rsistancs: arodynamic

More information

Jones vector & matrices

Jones vector & matrices Jons vctor & matrcs PY3 Colást na hollscol Corcagh, Ér Unvrst Collg Cork, Irland Dpartmnt of Phscs Matr tratmnt of polarzaton Consdr a lght ra wth an nstantanous -vctor as shown k, t ˆ k, t ˆ k t, o o

More information

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator.

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator. Exam N a m : _ S O L U T I O N P U I D : I n s t r u c t i o n s : It is important that you clarly show your work and mark th final answr clarly, closd book, closd nots, no calculator. T i m : h o u r

More information

te Finance (4th Edition), July 2017.

te Finance (4th Edition), July 2017. Appndx Chaptr. Tchncal Background Gnral Mathmatcal and Statstcal Background Fndng a bas: 3 2 = 9 3 = 9 1 /2 x a = b x = b 1/a A powr of 1 / 2 s also quvalnt to th squar root opraton. Fndng an xponnt: 3

More information

CHAPTER-2 MIXED CONVECTION FLOW OF MICROPOLAR FLUID OVER A POROUS SHRINKING SHEET WITH THERMAL RADIATION 2.1 INTRODUCTION

CHAPTER-2 MIXED CONVECTION FLOW OF MICROPOLAR FLUID OVER A POROUS SHRINKING SHEET WITH THERMAL RADIATION 2.1 INTRODUCTION CHAPTER- MIXED CONVECTION FLOW OF MICROPOLAR FLUID OVER A POROUS SHRINING SHEET WITH THERMAL RADIATION. INTRODUCTION Bounary layr flow of ncomprssbl flu ovr a shrnkng sht has attract th ntrst of many rsarchrs

More information

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005 PHYS1444-,Fall 5, Trm Exam #1, Oct., 1, 5 Nam: Kys 1. circular ring of charg of raius an a total charg Q lis in th x-y plan with its cntr at th origin. small positiv tst charg q is plac at th origin. What

More information