THE MONEY DEMAND IN ROMANIA. PhD. Cornelia Tomescu Dumitrescu University Constantin Brancusi from Tg-Jiu, Romania, Faculty of Economics
|
|
- Arnold Russell
- 5 years ago
- Views:
Transcription
1 THE MONEY DEMAND IN ROMANIA PhD. Cornelia Tomescu Dumirescu Universiy Consanin Brancusi from Tg-Jiu, Romania, Faculy of Economics The empirical moeling of he money eman has as a saring poin, ypically 1, a general specificaion for he long erm money eman of he form: where, M = f ( y; r; x) M is he money eman in real erms, y is a scale variable ha measures he level of he economic aciviy, r is a vecor of variables ha inercep he opporuniy cos of he money holing an x is a vecor of oher variables (incluing ummy variables) ha will be inclue in he moel. The relaionship presupposes an immeiae ajusmen (insananeous) of he acual money holings owars heir level on long erm, namely, an equilibrium beween he real eman an offer of money. This hing is slighly plausible given being he coss of ransacion an he inceriue. Furhermore, he esire level of he money holings is unnoiceable. M Because of he marke clearing mechanism, we can consier ha s = M = M (he currency offer is equal wih he currency eman an we noe his level wih M). Therefore, we can use he series of aa referring o he currency offer in he analysis of he money eman. The money holings are measure hrough he M in lei, efine by cash ousie he banking sysem, call eposis, populaion economies an a erm lei eposis. We exclue he currency hrough he efiniion of he M aggregae, parly because of he lack of informaion relae o he populaion s currency holings ha we suspec o have been significan. Even hough he hef of he resiens currency eposis (FCD) in M is significan, reaching o aroun 30% in he las few years, here is no powerful proof ha he currency was a significanly paymen insrumen or accoun uniy. FCD are mosly a 1 Sriram, S.S. (1999a) The long erm in his paper oesn refer o a very long perio of ime. The perio of ineres in his paper covers 5 years an 3 monhs using monhly aa.
2 form of acives ha he populaion uses in meiums wih high inflaion an volaile exchange rae in orer o subsiue he eposis in naional currency. For he scale variable as a measure of he economic aciviy we chose he fix base inex of he real inusrial proucion (eflae hrough he consumpion prices inex) as proxy for he gross inernal prouc ha is no calculae wih monhly basis in Romania. The proper measure for he opporuniy cos of he aggregae M is ifficul o be eermine a priori ue o he limie an flucuan availabiliy of he lei an currency acives beween 1996 an 00 (annex ). In he analysis we use he following opporuniy coss: ¾The passive ineres rae for he non-banking cliens as a measure for he R. own profiableness of he lei eposis ( ) ¾The ineres rae (of he efficiency) of he sae iles as a measure of he R. ou efficiency of he acives ousie M ( ) The relaive imporance of he alernaive acives for he money holings varie a lo in he las few years. The enominae eposis in currency consiue an imporan alernaive for he naional currency holings (see figure 1), especially afer he liberalizaion of he currency marke in March Figure 1 The hef in currency (he currency eposis of he resiens) in oal M The evelopmen of he capial marke from Romania offere a series of alernaives for he banking eposis: he real values, he invesmen founs an he sae
3 iles. Though, he capializaion of he marke for hese acives says kin of low (figure ). The bursar capializaion of he acions slighly reache % of he GIP in he las hree years. The placemens in he invesmen founs reache below 1% from he GIP. An ineresing evoluion ha he placemens in sae iles (figure 3). In many perios, he placemens in sae iles ha higher efficacy han he banking eposis. A he same ime, a seconary marke for he sae iles evelope. The laely ecline of he sae iles placemens are ue o he ecrease of he ineres rae associae o hem. Figure The bursar capializaion in M (%) Figura 3 The percenage miniserial crei in M ¾The expece rae of inflaion approximae hrough he rae of inflaion from he curren monh p surprises he profiabiliy of he real acives. The necessiy of he inclusion of he expece rae of inflaion was accenuae in he case of he eveloping economies in which, given being he weak evelopmen of he financial
4 sysem, he real acives represen a moaliy of proecion agains he inflaion an alernaive acives in he porfolio of he non-banking agens. 3 ¾The expece epreciaion of he leu-ollar course. Measures he profiabiliy of he ollar holing, imporan acives from ousie M. The curren epreciaion is use as proxy for he expece one. We will analyze hree moels (specificaions): 1. The firs moel specific especially for a close economy in which he opporuniy cos is limie o he one for he lei acives. In esimaions, we will use a (semi-) log-linear form: own ou m γ 0 + γ 1 y + γ R + γ 3R + γ 4 = p (8) where he small leers variables are expresse in logarihms, an money eman, own m represens he real R an R ou represens he nominal rae of he profiabiliy of he financial acives inclue, respecively exclue, from he efiniion of he moneary aggregae, p represening he annualize rae of inflaion. In he relaion (8) he homogeneiy in prices of he long erm money eman is suppose. In he equaion (8), γ 1 measures he long erm elasiciy of he money eman epening on he scale variable, while γ, γ 3 an γ 4 represen semi-elasiciies epening on he rae of he profiabiliy of he financial acives inclue, respecively, exclue, from he efiniion of he moneary aggregae an he rae of inflaion. We can expec, accoring o he economical heory, ha γ 1 > 0, γ > 0, γ 3 > 0, γ 4 > 0 an possible, γ = γ 3. Lasly, he long erm money eman can be expresse as a funcion by he sprea R - R own ou, which can be inerpree as an opporuniy cos for he money holings. Regaring he sign of he inflaion coefficien, in general, his one has o be negaive. The agens prefer o eain real acives raher han moneary acives in high inflaion perios. I is hough possible for he inflaion o have a posiive coefficien relae o he long erm money eman because when he agens expec he inflaion o 3 The basic iea is ha in he eveloping economies, in which he invesmen possibiliies given by he capial marke are limie, he subsiuion of he acives especially refers o he replacemen of he money holings wih physical, real acives raher han wih he financial acives. This hing isn very consisen in Romania uring he analyze perio, a saisical role significan in he eerminans of he long erm money eman being aribue o he sae iles, while he inflaion mosly influences on shor erm.
5 increase, hey can increase he money holings expecing an increase of he planne expenses (Jusoh (1987)). As we ve seen in he firs par of his paper, a series of heories susain some paricular values for γ 1. Thus, in he Baumol-Tobin moel γ 1 =0.5, in he money s quaniaive heory γ 1 =1. Values bigger han 1 for γ 1 are o be foun in a lo of empirical suies regaring he money eman for M, values inerpree, in mos cases, as approximaing he wealh effecs.. The secon moel a moel for an open economy in which he variables for he opporuniy cos also comprise he profiabiliy rae for he acives in measure currency hrough he epreciaion of he exchange rae. The acual epreciaion is use as a proxy for he expece epreciaion. In esimaions, we will also use a (semi-) log-linear form: m own ou = γ + γ y + γ R + γ R + γ p + ED (8) γ 5 where ED represens he epreciaion of he exchange rae calculae as E E E being he exchange rae in he momen expresse in lei a an USA ollar. We can expec, accoring o he economical heory, γ 5 < 0, an increase of he expece epreciaion of he exchange rae will lea o an increase of he money holings raing an, as a consequence, he agens will subsiue he naional currency wih he foreign currency (Simmons 4 (199)). 3. The hir level inclues he level of he exchange rae as a proxy for he m converibiliy risk. The form use in esimaions will be: own ou = γ + γ y + γ R + γ R + γ p + E (8) γ 6 The variables use are presene in able 1. As a big par of he series use presen regular seasonal evoluions, i is necessary o ake ino accoun he seasonal facor in esimaions. We will realize his hing in wo ways: he firs moaliy we will ajus he seasonal series using he Tramo-Seas proceure; he secon moaliy we will use he unajuse 1 1, E 4 The possibiliy of obaining boh a posiive an negaive relaion beween he epreciaion of he exchange rae an he naional currency holings is accenuae. The impac can be negaive if he epreciaion of he naional currency will lea from anicipaions o fuure epreciaions. On he oher han, a posiive impac can resul if he epreciaion creaes expecaions regaring a fuure appreciaion of he naional currency.
6 series an we will a he seasonal monhly ummy variables 5. To noe he fac ha, if he sanar ummy 0-1 variables are inclue, hey will influence boh he mean an he series ren. In orer o preven his, o surprise he seasonaliy, we will use cenere seasonal ummy variables (orhogonalize) as Johansen suggese. These change he mean, bu wihou conribuing o he ren. Table 1 The ime series use LMR The logarihm of he large scale real moneary mass LMR_SA LYRIBF LYRIBF_SA p p_sa LE ED DP DTS The logarihm of he large scale real moneary mass seasonally ajuse The logarihm of he real inusrial proucion inex (ecember 1995=1) The logarihm of he real inusrial proucion inex seasonally ajuse The level of he annualize monhly inflaion The level of he annualize monhly inflaion seasonally ajuse The logarihm of he nominal ROL/USD exchange rae The epreciaion of he exchange rae The meium passive banking ineres rae for he non-banking cliens The meium capaciy for he sae iles (reasury cerificaes wih ineres rae an iscoun) The esimaions are realize in a number of seps. Firs an foremos, uni roo ess are effecuae for he series of ineres in orer o eerminae he saionariy of he iniviual series. As in oher suies abou he money eman, he large scale real moneary mass only has a uniary roo, hing which means ha i is saionary in prime ifferences. The esimaions are realize wih monhly aes from January 1996 unil March 00. The aes preceen o Sepember 001 are use for esimaions an he lef observaions (6 monhs) are use for forecasing. 5 A priori, is ifficul o choose beween he wo moaliies of surprising he seasonaliy. The seasonal ajusmens are realize using he Tramo-Seas proceure. The use of he seasonally ajuse aa can influence he ynamic moeling (Ericsson, Henry an Tran (1994)). The alernaive approach hrough he inclusion of some seasonal ummy variables is no perfec in is urn, necessiaing consan seasonal facors (as compare o Tramo-Seas, which permis he seasonal facor o evolve in ime) an uses more freeom egrees, leaing in his way o he reucion of he saisical ess. Tramo-Seas has he avanage, when compare o oher mehos of seasonal ajusmen, he fac ha i gives beer resuls in he presence of some exreme values of he series an srucural changes (ouliers).
7 Saionariy ADF (Augmene Dickey Fuller) an PP (Philips Perron) ess are realize. The resuls are presene in able 6. The number of lags use for he saionariy ess were chosen base on he AIC (Akaike informaion crierion) an SC (Schwarz crierion) minimizaion crieria. Excep he epreciaion of he exchange rae an he inflaion, he variables are firs orer inegrables in he level (appenix), hing which is consisen wih a saionary represenaion in prime ifferences. Table The resuls of he saionariy ess (*he variables are in logarihm) TheVariable The ADF Tes The PP Tes The real moneary mass* (1) C I(1) C The real inusrial proucion* I(1) C I(1) C The exchange rae* I(1) C T I(1) C T The exchange rae s epreciaion I(1) C sau I(0) C I(0) C The inflaion I(1) C sau I(0) C I(1) C sau I(0) C The passive ineres rae I(1) C T I(1) C T The sae iles ineres rae I(1) C T I(1) C T The seasonally ajuse series The real moneary mass* I(1) C I(1) C The inflaion I(1) C sau I(0) C I(1) C sau I(0) C The real inusrial proucion* I(1) C I(1) C The series non-saionariy moivae he use in analysis of he Johansen mulivariae proceure (shorly escribe in Appenix I) in orer o ienify he presence of a long erm saionary relaion (co-inegraion) among non-saionary series. Table suggess ha none of he variables is a secon orer (I()) or bigger inegrable. The exchange rae s inflaion an epreciaion are probably I(0) (a 10%). This oesn mean ha he wo variables mus be exclue from he co-inegraion vecor. This hing can be explaine by he fac ha, as Dickey an Rossana (1994) remark, he co-inegraion es (Appenix III) can be use even if some of he series are saionary. Taking ino 6 The resuls of he saionariy ess mus be looke a wih pruence, given been he ess weak power in he presence of he srucural breaks.
8 consieraion ha five variables are I(1) an none is I() or bigger, he necessary coniions for a vali co-inegraion are no violae. One of he avanages of he Johansen proceure is he one ha permis us o emphasize he ajusmen spee owars he long erm equilibrium an o es he weakly exogenous of he explicaive variables (if a variable s ajusmen power is no significanly ifferen from zero, he variable is weakly exogenous) 7. We eermine he number of lags use in co-inegraion by esimaing a VAR wih ineres variables. For his VAR, using he crieria LR, FPE, AIC, SC an HQ, we will choose he opimal number of lags. If he opimal number of lags for he VAR is p, hen we will esimae he VEC wih p-1 lags. In he firs phase, we realize he ess wih he seasonally ajuse variables. The ess were realize wih or wihou ummy for he shocks in 1997 (ummy9701 which akes he value 1 in January 1997 an 0 for he res an ummy9703 which akes he value 1 in March 1997 an 0 for he res 8 ). The resuls obaine wih he ummy variables were unsaisfacory, he coefficiens aache o he menione ummy variables being insignifican from a saisical poin of view an, as a consequence, we reesimae he relaions wihou hese variables (able 3). Table 3 The long erm co-inegraion relaion Proucion Passive Ineres Rae Sae iles Ineres Rae Inflaion Coef. SE/ 3/ Coef. SE Coef. SE Coef. SE I 6/ 1.39* * * * II 7/ 1.33* * * * III 8/ 1.46* * * * Depreciaion Exchange Rae Ajusmen Spee RMSE 4/ Coef. SE Coef. SE Coef. SE Saic Dynamic I 6/ -0.04* II 7/ -0.46* * III 8/ -0.34* * * significan a a level of 5%; **significan a a level of 1% 7 Ericsson (199) presens he conceps of weak, srong an super exogeneiy an heir relaion wih he co-inegraion analysis. 8 The resuls of he VEC, afer he inroucion of a sanar ummy variable 0-1, mus be looke upon wih precauion.
9 û/05b6$ û/<5,%)b6$ û'3 û'76 û3b6$ û(' û/( I χ ( 1) = 5.5 χ ( 1) = 1.99 χ ( 1) = 0. χ ( 1) = 8.9 χ ( 1) [0.018]5 /* [0.16] [0.64] [0.00]** [0.9] = 0.01 II χ ( 1) = 1.4 χ ( 1) = 0.77 χ ( 1) = 1.80 χ ( 1) = 4.4 χ ( 1) = 0.13 χ ( 1) [0.00]** [0.38] [0.18] [0.04]* [0.7] [0.5] = 1.8 III χ ( 1) = 0.03 χ ( 1) = 0.60 χ ( 1) = 0.45 χ ( 1) = χ ( 1) = 0.00 χ ( 1) [0.00]** [0.43] [0.50] [0.00]** [0.98] [0.98] 1/ Seasonally ajuse aa; / Sanar error; 3/ saisical-t; 4/ Roo mean square error for forecas; 5/ he null hypohesis is ha here is weak exogeneiy (in sraigh parenhesis he probabiliy); 6/ he VEC is esimae wih 4 lags; 7/ he VEC is esimae wih 3 lags; 8/ he VEC is esimae wih 4 lags. ** an * inicae he rejecion of he null hypohesis a a limi of 1%, respecively 5 %. = 0.00 Refferences: 1. ANDREI, T. 6WDWLVWLFúLeconomerie,%XFXUHúWL(GLWXUD(FRQRPLFD. ANSION, G. Les méhoes es prevision en économie, Paris, Arman Collecions, DOBRESCU, E. 7UDQ]L LDvQ5RPkQLD. $ERUGULHFRQRPHWULFH%XFXUHúWL (GLWXUD(FRQRPLF 4. PECICAN, E. 3LD D YDOXWDU EQFL & economerie %XFXUHúWL (GLWXUD (FRQRPLF 5. TOMESCU-DUMITRESCU CORNELIA, (FRQRPHWULH JHQHUDO úl ILQDQFLDU%XFXUHúWL(G'LGDFWLFúL3HGDJRJLF
Licenciatura de ADE y Licenciatura conjunta Derecho y ADE. Hoja de ejercicios 2 PARTE A
Licenciaura de ADE y Licenciaura conjuna Derecho y ADE Hoja de ejercicios PARTE A 1. Consider he following models Δy = 0.8 + ε (1 + 0.8L) Δ 1 y = ε where ε and ε are independen whie noise processes. In
More informationImpact of International Information Technology Transfer on National Productivity. Online Supplement
Impac of Inernaional Informaion Technology Transfer on Naional Prouciviy Online Supplemen Jungsoo Park Deparmen of Economics Sogang Universiy Seoul, Korea Email: jspark@sogang.ac.kr, Tel: 82-2-705-8697,
More informationCOMPETITIVE GROWTH MODEL
COMPETITIVE GROWTH MODEL I Assumpions We are going o now solve he compeiive version of he opimal growh moel. Alhough he allocaions are he same as in he social planning problem, i will be useful o compare
More informationVectorautoregressive Model and Cointegration Analysis. Time Series Analysis Dr. Sevtap Kestel 1
Vecorauoregressive Model and Coinegraion Analysis Par V Time Series Analysis Dr. Sevap Kesel 1 Vecorauoregression Vecor auoregression (VAR) is an economeric model used o capure he evoluion and he inerdependencies
More informationMethodology. -ratios are biased and that the appropriate critical values have to be increased by an amount. that depends on the sample size.
Mehodology. Uni Roo Tess A ime series is inegraed when i has a mean revering propery and a finie variance. I is only emporarily ou of equilibrium and is called saionary in I(0). However a ime series ha
More informationGreen accounting: Green NNP and genuine savings
Green accouning: Green NNP an genuine savings Lecures in resource economics Spring 2, Par G.B. Asheim, na.res., upae 27.3.2 1 Naional accouning gives a isore picure of savings if changes in socks of naural
More informationSeminar 5 Sustainability
Seminar 5 Susainabiliy Soluions Quesion : Hyperbolic Discouning -. Suppose a faher inheris a family forune of 0 million NOK an he wans o use some of i for himself (o be precise, he share ) bu also o beques
More informationUnit Root Time Series. Univariate random walk
Uni Roo ime Series Univariae random walk Consider he regression y y where ~ iid N 0, he leas squares esimae of is: ˆ yy y y yy Now wha if = If y y hen le y 0 =0 so ha y j j If ~ iid N 0, hen y ~ N 0, he
More informationE β t log (C t ) + M t M t 1. = Y t + B t 1 P t. B t 0 (3) v t = P tc t M t Question 1. Find the FOC s for an optimum in the agent s problem.
Noes, M. Krause.. Problem Se 9: Exercise on FTPL Same model as in paper and lecure, only ha one-period govenmen bonds are replaced by consols, which are bonds ha pay one dollar forever. I has curren marke
More informationIntroduction D P. r = constant discount rate, g = Gordon Model (1962): constant dividend growth rate.
Inroducion Gordon Model (1962): D P = r g r = consan discoun rae, g = consan dividend growh rae. If raional expecaions of fuure discoun raes and dividend growh vary over ime, so should he D/P raio. Since
More informationSolutions to Odd Number Exercises in Chapter 6
1 Soluions o Odd Number Exercises in 6.1 R y eˆ 1.7151 y 6.3 From eˆ ( T K) ˆ R 1 1 SST SST SST (1 R ) 55.36(1.7911) we have, ˆ 6.414 T K ( ) 6.5 y ye ye y e 1 1 Consider he erms e and xe b b x e y e b
More informationTime series Decomposition method
Time series Decomposiion mehod A ime series is described using a mulifacor model such as = f (rend, cyclical, seasonal, error) = f (T, C, S, e) Long- Iner-mediaed Seasonal Irregular erm erm effec, effec,
More informationThe Real Exchange Rate, Real Interest Rates, and the Risk Premium. Charles Engel University of Wisconsin
The Real Exchange Rae, Real Ineres Raes, an he Risk Premium Charles Engel Universiy of Wisconsin 1 Define he excess reurn or risk premium on Foreign s.. bons: λ i + Es+ 1 s i = r + Eq+ 1 q r The famous
More informationReady for euro? Empirical study of the actual monetary policy independence in Poland VECM modelling
Macroeconomerics Handou 2 Ready for euro? Empirical sudy of he acual moneary policy independence in Poland VECM modelling 1. Inroducion This classes are based on: Łukasz Goczek & Dagmara Mycielska, 2013.
More informationInternational Parity Relations between Poland and Germany: A Cointegrated VAR Approach
Research Seminar a he Deparmen of Economics, Warsaw Universiy Warsaw, 15 January 2008 Inernaional Pariy Relaions beween Poland and Germany: A Coinegraed VAR Approach Agnieszka Sążka Naional Bank of Poland
More informationMacroeconomic Theory Ph.D. Qualifying Examination Fall 2005 ANSWER EACH PART IN A SEPARATE BLUE BOOK. PART ONE: ANSWER IN BOOK 1 WEIGHT 1/3
Macroeconomic Theory Ph.D. Qualifying Examinaion Fall 2005 Comprehensive Examinaion UCLA Dep. of Economics You have 4 hours o complee he exam. There are hree pars o he exam. Answer all pars. Each par has
More informationA Dynamic Model of Economic Fluctuations
CHAPTER 15 A Dynamic Model of Economic Flucuaions Modified for ECON 2204 by Bob Murphy 2016 Worh Publishers, all righs reserved IN THIS CHAPTER, OU WILL LEARN: how o incorporae dynamics ino he AD-AS model
More informationProblem Set 5. Graduate Macro II, Spring 2017 The University of Notre Dame Professor Sims
Problem Se 5 Graduae Macro II, Spring 2017 The Universiy of Nore Dame Professor Sims Insrucions: You may consul wih oher members of he class, bu please make sure o urn in your own work. Where applicable,
More informationD.I. Survival models and copulas
D- D. SURVIVAL COPULA D.I. Survival moels an copulas Definiions, relaionships wih mulivariae survival isribuion funcions an relaionships beween copulas an survival copulas. D.II. Fraily moels Use of a
More informationUNIVERSITY OF OSLO DEPARTMENT OF ECONOMICS
UNIVERSITY OF OSLO DEPARTMENT OF ECONOMICS Exam: ECON4325 Moneary Policy Dae of exam: Tuesday, May 24, 206 Grades are given: June 4, 206 Time for exam: 2.30 p.m. 5.30 p.m. The problem se covers 5 pages
More informationFinal Exam Advanced Macroeconomics I
Advanced Macroeconomics I WS 00/ Final Exam Advanced Macroeconomics I February 8, 0 Quesion (5%) An economy produces oupu according o α α Y = K (AL) of which a fracion s is invesed. echnology A is exogenous
More informationA dynamic AS-AD Model
A ynamic AS-AD Moel (Lecure Noes, Thomas Seger, Universiy of Leipzig, winer erm 10/11) This file escribes a ynamic AS-AD moel. The moel can be employe o assess he ynamic consequences of macroeconomic shocks
More informationCointegration and Implications for Forecasting
Coinegraion and Implicaions for Forecasing Two examples (A) Y Y 1 1 1 2 (B) Y 0.3 0.9 1 1 2 Example B: Coinegraion Y and coinegraed wih coinegraing vecor [1, 0.9] because Y 0.9 0.3 is a saionary process
More informationTesting for a Single Factor Model in the Multivariate State Space Framework
esing for a Single Facor Model in he Mulivariae Sae Space Framework Chen C.-Y. M. Chiba and M. Kobayashi Inernaional Graduae School of Social Sciences Yokohama Naional Universiy Japan Faculy of Economics
More informationExercise: Building an Error Correction Model of Private Consumption. Part II Testing for Cointegration 1
Bo Sjo 200--24 Exercise: Building an Error Correcion Model of Privae Consumpion. Par II Tesing for Coinegraion Learning objecives: This lab inroduces esing for he order of inegraion and coinegraion. The
More informationR t. C t P t. + u t. C t = αp t + βr t + v t. + β + w t
Exercise 7 C P = α + β R P + u C = αp + βr + v (a) (b) C R = α P R + β + w (c) Assumpions abou he disurbances u, v, w : Classical assumions on he disurbance of one of he equaions, eg. on (b): E(v v s P,
More information20. Applications of the Genetic-Drift Model
0. Applicaions of he Geneic-Drif Model 1) Deermining he probabiliy of forming any paricular combinaion of genoypes in he nex generaion: Example: If he parenal allele frequencies are p 0 = 0.35 and q 0
More information( ) ( ) ( ) ( u) ( u) = are shown in Figure =, it is reasonable to speculate that. = cos u ) and the inside function ( ( t) du
Porlan Communiy College MTH 51 Lab Manual The Chain Rule Aciviy 38 The funcions f ( = sin ( an k( sin( 3 38.1. Since f ( cos( k ( = cos( 3. Bu his woul imply ha k ( f ( = are shown in Figure =, i is reasonable
More informationACE 564 Spring Lecture 7. Extensions of The Multiple Regression Model: Dummy Independent Variables. by Professor Scott H.
ACE 564 Spring 2006 Lecure 7 Exensions of The Muliple Regression Model: Dumm Independen Variables b Professor Sco H. Irwin Readings: Griffihs, Hill and Judge. "Dumm Variables and Varing Coefficien Models
More informationProperties of Autocorrelated Processes Economics 30331
Properies of Auocorrelaed Processes Economics 3033 Bill Evans Fall 05 Suppose we have ime series daa series labeled as where =,,3, T (he final period) Some examples are he dail closing price of he S&500,
More informationEcon107 Applied Econometrics Topic 7: Multicollinearity (Studenmund, Chapter 8)
I. Definiions and Problems A. Perfec Mulicollineariy Econ7 Applied Economerics Topic 7: Mulicollineariy (Sudenmund, Chaper 8) Definiion: Perfec mulicollineariy exiss in a following K-variable regression
More informationThe Brock-Mirman Stochastic Growth Model
c December 3, 208, Chrisopher D. Carroll BrockMirman The Brock-Mirman Sochasic Growh Model Brock and Mirman (972) provided he firs opimizing growh model wih unpredicable (sochasic) shocks. The social planner
More informationDepartment of Economics East Carolina University Greenville, NC Phone: Fax:
March 3, 999 Time Series Evidence on Wheher Adjusmen o Long-Run Equilibrium is Asymmeric Philip Rohman Eas Carolina Universiy Absrac The Enders and Granger (998) uni-roo es agains saionary alernaives wih
More informationDiebold, Chapter 7. Francis X. Diebold, Elements of Forecasting, 4th Edition (Mason, Ohio: Cengage Learning, 2006). Chapter 7. Characterizing Cycles
Diebold, Chaper 7 Francis X. Diebold, Elemens of Forecasing, 4h Ediion (Mason, Ohio: Cengage Learning, 006). Chaper 7. Characerizing Cycles Afer compleing his reading you should be able o: Define covariance
More information15. Which Rule for Monetary Policy?
15. Which Rule for Moneary Policy? John B. Taylor, May 22, 2013 Sared Course wih a Big Policy Issue: Compeing Moneary Policies Fed Vice Chair Yellen described hese in her April 2012 paper, as discussed
More informationThe Fundamental Theorems of Calculus
FunamenalTheorems.nb 1 The Funamenal Theorems of Calculus You have now been inrouce o he wo main branches of calculus: ifferenial calculus (which we inrouce wih he angen line problem) an inegral calculus
More informationOnline Appendix to Solution Methods for Models with Rare Disasters
Online Appendix o Soluion Mehods for Models wih Rare Disasers Jesús Fernández-Villaverde and Oren Levinal In his Online Appendix, we presen he Euler condiions of he model, we develop he pricing Calvo block,
More informationDynamic Econometric Models: Y t = + 0 X t + 1 X t X t k X t-k + e t. A. Autoregressive Model:
Dynamic Economeric Models: A. Auoregressive Model: Y = + 0 X 1 Y -1 + 2 Y -2 + k Y -k + e (Wih lagged dependen variable(s) on he RHS) B. Disribued-lag Model: Y = + 0 X + 1 X -1 + 2 X -2 + + k X -k + e
More informationForecasting optimally
I) ile: Forecas Evaluaion II) Conens: Evaluaing forecass, properies of opimal forecass, esing properies of opimal forecass, saisical comparison of forecas accuracy III) Documenaion: - Diebold, Francis
More informationTypes of Exponential Smoothing Methods. Simple Exponential Smoothing. Simple Exponential Smoothing
M Business Forecasing Mehods Exponenial moohing Mehods ecurer : Dr Iris Yeung Room No : P79 Tel No : 788 8 Types of Exponenial moohing Mehods imple Exponenial moohing Double Exponenial moohing Brown s
More informationOn Measuring Pro-Poor Growth. 1. On Various Ways of Measuring Pro-Poor Growth: A Short Review of the Literature
On Measuring Pro-Poor Growh 1. On Various Ways of Measuring Pro-Poor Growh: A Shor eview of he Lieraure During he pas en years or so here have been various suggesions concerning he way one should check
More informationHomework 2 Solutions
Mah 308 Differenial Equaions Fall 2002 & 2. See he las page. Hoework 2 Soluions 3a). Newon s secon law of oion says ha a = F, an we know a =, so we have = F. One par of he force is graviy, g. However,
More informationExplaining Total Factor Productivity. Ulrich Kohli University of Geneva December 2015
Explaining Toal Facor Produciviy Ulrich Kohli Universiy of Geneva December 2015 Needed: A Theory of Toal Facor Produciviy Edward C. Presco (1998) 2 1. Inroducion Toal Facor Produciviy (TFP) has become
More informationLecture Notes 3: Quantitative Analysis in DSGE Models: New Keynesian Model
Lecure Noes 3: Quaniaive Analysis in DSGE Models: New Keynesian Model Zhiwei Xu, Email: xuzhiwei@sju.edu.cn The moneary policy plays lile role in he basic moneary model wihou price sickiness. We now urn
More informationThe Real Exchange Rate, Real Interest Rates, and the Risk Premium. Charles Engel University of Wisconsin
The Real Exchange Rae, Real Ineres Raes, and he Risk Premium Charles Engel Universiy of Wisconsin How does exchange rae respond o ineres rae changes? In sandard open economy New Keynesian model, increase
More informationOBJECTIVES OF TIME SERIES ANALYSIS
OBJECTIVES OF TIME SERIES ANALYSIS Undersanding he dynamic or imedependen srucure of he observaions of a single series (univariae analysis) Forecasing of fuure observaions Asceraining he leading, lagging
More informationLecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.
Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in
More informationPolicy regimes Theory
Advanced Moneary Theory and Policy EPOS 2012/13 Policy regimes Theory Giovanni Di Barolomeo giovanni.dibarolomeo@uniroma1.i The moneary policy regime The simple model: x = - s (i - p e ) + x e + e D p
More informationA Specification Test for Linear Dynamic Stochastic General Equilibrium Models
Journal of Saisical and Economeric Mehods, vol.1, no.2, 2012, 65-70 ISSN: 2241-0384 (prin), 2241-0376 (online) Scienpress Ld, 2012 A Specificaion Tes for Linear Dynamic Sochasic General Equilibrium Models
More informationLecture 5. Time series: ECM. Bernardina Algieri Department Economics, Statistics and Finance
Lecure 5 Time series: ECM Bernardina Algieri Deparmen Economics, Saisics and Finance Conens Time Series Modelling Coinegraion Error Correcion Model Two Seps, Engle-Granger procedure Error Correcion Model
More information( ) a system of differential equations with continuous parametrization ( T = R + These look like, respectively:
XIII. DIFFERENCE AND DIFFERENTIAL EQUATIONS Ofen funcions, or a sysem of funcion, are paramerized in erms of some variable, usually denoed as and inerpreed as ime. The variable is wrien as a funcion of
More information23.2. Representing Periodic Functions by Fourier Series. Introduction. Prerequisites. Learning Outcomes
Represening Periodic Funcions by Fourier Series 3. Inroducion In his Secion we show how a periodic funcion can be expressed as a series of sines and cosines. We begin by obaining some sandard inegrals
More information3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon
3..3 INRODUCION O DYNAMIC OPIMIZAION: DISCREE IME PROBLEMS A. he Hamilonian and Firs-Order Condiions in a Finie ime Horizon Define a new funcion, he Hamilonian funcion, H. H he change in he oal value of
More informationSuggested Solutions to Assignment 4 (REQUIRED) Submisson Deadline and Location: March 27 in Class
EC 450 Advanced Macroeconomics Insrucor: Sharif F Khan Deparmen of Economics Wilfrid Laurier Universiy Winer 2008 Suggesed Soluions o Assignmen 4 (REQUIRED) Submisson Deadline and Locaion: March 27 in
More informationFINM 6900 Finance Theory
FINM 6900 Finance Theory Universiy of Queensland Lecure Noe 4 The Lucas Model 1. Inroducion In his lecure we consider a simple endowmen economy in which an unspecified number of raional invesors rade asses
More informationCHAPTER 2 Signals And Spectra
CHAPER Signals And Specra Properies of Signals and Noise In communicaion sysems he received waveform is usually caegorized ino he desired par conaining he informaion, and he undesired par. he desired par
More informationChapter 15. Time Series: Descriptive Analyses, Models, and Forecasting
Chaper 15 Time Series: Descripive Analyses, Models, and Forecasing Descripive Analysis: Index Numbers Index Number a number ha measures he change in a variable over ime relaive o he value of he variable
More informationExponential Smoothing
Exponenial moohing Inroducion A simple mehod for forecasing. Does no require long series. Enables o decompose he series ino a rend and seasonal effecs. Paricularly useful mehod when here is a need o forecas
More informationTechnical Appendix to Modeling Movie Lifecycles and Market Share. All our models were estimated using Markov Chain Monte Carlo simulation (MCMC).
Technical Appenix o Moeling Movie Lifecycles an Marke Share Deman Moel All our moels were esimae using Markov Chain Mone Carlo simulaion (MCMC). This meho is wiely use in he markeing leraure an is escribe
More informationEstimation Uncertainty
Esimaion Uncerainy The sample mean is an esimae of β = E(y +h ) The esimaion error is = + = T h y T b ( ) = = + = + = = = T T h T h e T y T y T b β β β Esimaion Variance Under classical condiions, where
More informationWednesday, November 7 Handout: Heteroskedasticity
Amhers College Deparmen of Economics Economics 360 Fall 202 Wednesday, November 7 Handou: Heeroskedasiciy Preview Review o Regression Model o Sandard Ordinary Leas Squares (OLS) Premises o Esimaion Procedures
More informationLinear Response Theory: The connection between QFT and experiments
Phys540.nb 39 3 Linear Response Theory: The connecion beween QFT and experimens 3.1. Basic conceps and ideas Q: How do we measure he conduciviy of a meal? A: we firs inroduce a weak elecric field E, and
More informationChallenge Problems. DIS 203 and 210. March 6, (e 2) k. k(k + 2). k=1. f(x) = k(k + 2) = 1 x k
Challenge Problems DIS 03 and 0 March 6, 05 Choose one of he following problems, and work on i in your group. Your goal is o convince me ha your answer is correc. Even if your answer isn compleely correc,
More informationThis document was generated at 7:34 PM, 07/27/09 Copyright 2009 Richard T. Woodward
his documen was generaed a 7:34 PM, 07/27/09 Copyrigh 2009 Richard. Woodward 15. Bang-bang and mos rapid approach problems AGEC 637 - Summer 2009 here are some problems for which he opimal pah does no
More informationFinal Spring 2007
.615 Final Spring 7 Overview The purpose of he final exam is o calculae he MHD β limi in a high-bea oroidal okamak agains he dangerous n = 1 exernal ballooning-kink mode. Effecively, his corresponds o
More information= ( ) ) or a system of differential equations with continuous parametrization (T = R
XIII. DIFFERENCE AND DIFFERENTIAL EQUATIONS Ofen funcions, or a sysem of funcion, are paramerized in erms of some variable, usually denoed as and inerpreed as ime. The variable is wrien as a funcion of
More informationFinancial Econometrics Jeffrey R. Russell Midterm Winter 2009 SOLUTIONS
Name SOLUTIONS Financial Economerics Jeffrey R. Russell Miderm Winer 009 SOLUTIONS You have 80 minues o complee he exam. Use can use a calculaor and noes. Try o fi all your work in he space provided. If
More informationHow to Deal with Structural Breaks in Practical Cointegration Analysis
How o Deal wih Srucural Breaks in Pracical Coinegraion Analysis Roselyne Joyeux * School of Economic and Financial Sudies Macquarie Universiy December 00 ABSTRACT In his noe we consider he reamen of srucural
More informationd 1 = c 1 b 2 - b 1 c 2 d 2 = c 1 b 3 - b 1 c 3
and d = c b - b c c d = c b - b c c This process is coninued unil he nh row has been compleed. The complee array of coefficiens is riangular. Noe ha in developing he array an enire row may be divided or
More informationChapter Three Systems of Linear Differential Equations
Chaper Three Sysems of Linear Differenial Equaions In his chaper we are going o consier sysems of firs orer orinary ifferenial equaions. These are sysems of he form x a x a x a n x n x a x a x a n x n
More information3 Optimal Informational Interest Rate Rule 3.1. Introduction
3 Opimal Informaional Ineres Rae Rule 3.1. Inroducion Any public policy may be undersood as a public signal of he curren sae of he economy as i informs he views of he governmenal auhoriy o all agens. This
More informationSolutions Problem Set 3 Macro II (14.452)
Soluions Problem Se 3 Macro II (14.452) Francisco A. Gallego 04/27/2005 1 Q heory of invesmen in coninuous ime and no uncerainy Consider he in nie horizon model of a rm facing adjusmen coss o invesmen.
More informationACE 562 Fall Lecture 5: The Simple Linear Regression Model: Sampling Properties of the Least Squares Estimators. by Professor Scott H.
ACE 56 Fall 005 Lecure 5: he Simple Linear Regression Model: Sampling Properies of he Leas Squares Esimaors by Professor Sco H. Irwin Required Reading: Griffihs, Hill and Judge. "Inference in he Simple
More informationComparing Means: t-tests for One Sample & Two Related Samples
Comparing Means: -Tess for One Sample & Two Relaed Samples Using he z-tes: Assumpions -Tess for One Sample & Two Relaed Samples The z-es (of a sample mean agains a populaion mean) is based on he assumpion
More informationLecture Notes 2. The Hilbert Space Approach to Time Series
Time Series Seven N. Durlauf Universiy of Wisconsin. Basic ideas Lecure Noes. The Hilber Space Approach o Time Series The Hilber space framework provides a very powerful language for discussing he relaionship
More informationVehicle Arrival Models : Headway
Chaper 12 Vehicle Arrival Models : Headway 12.1 Inroducion Modelling arrival of vehicle a secion of road is an imporan sep in raffic flow modelling. I has imporan applicaion in raffic flow simulaion where
More informationModule II, Part C. More Insight into Fiber Dispersion
Moule II Par C More Insigh ino Fiber Dispersion . Polariaion Moe Dispersion Fiber Birefringence: Imperfec cylinrical symmery leas o wha is known as birefringence. Recall he HE moe an is E x componen which
More informationDynamic models for largedimensional. Yields on U.S. Treasury securities (3 months to 10 years) y t
Dynamic models for largedimensional vecor sysems A. Principal componens analysis Suppose we have a large number of variables observed a dae Goal: can we summarize mos of he feaures of he daa using jus
More informationChapter 16. Regression with Time Series Data
Chaper 16 Regression wih Time Series Daa The analysis of ime series daa is of vial ineres o many groups, such as macroeconomiss sudying he behavior of naional and inernaional economies, finance economiss
More informationElectrical and current self-induction
Elecrical and curren self-inducion F. F. Mende hp://fmnauka.narod.ru/works.hml mende_fedor@mail.ru Absrac The aricle considers he self-inducance of reacive elemens. Elecrical self-inducion To he laws of
More informationOsipenko Denis, Retail Risk Management, Raiffeisen Bank Aval JSC, Kiev, Ukraine. Credit Scoring and Credit Control XII conference August 24-26, 2011
Osipenko enis Reail Risk Managemen Raiffeisen Bank Aval JSC Kiev Ukraine Credi Scoring and Credi Conrol XII conference Augus - By he reason of risks inerpeneraion: Credi Risk => osses => Balance iquidiy
More informationBias in Conditional and Unconditional Fixed Effects Logit Estimation: a Correction * Tom Coupé
Bias in Condiional and Uncondiional Fixed Effecs Logi Esimaion: a Correcion * Tom Coupé Economics Educaion and Research Consorium, Naional Universiy of Kyiv Mohyla Academy Address: Vul Voloska 10, 04070
More informationKriging Models Predicting Atrazine Concentrations in Surface Water Draining Agricultural Watersheds
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Kriging Models Predicing Arazine Concenraions in Surface Waer Draining Agriculural Waersheds Paul L. Mosquin, Jeremy Aldworh, Wenlin Chen Supplemenal Maerial Number
More informationACE 562 Fall Lecture 4: Simple Linear Regression Model: Specification and Estimation. by Professor Scott H. Irwin
ACE 56 Fall 005 Lecure 4: Simple Linear Regression Model: Specificaion and Esimaion by Professor Sco H. Irwin Required Reading: Griffihs, Hill and Judge. "Simple Regression: Economic and Saisical Model
More informationLecture 4 Kinetics of a particle Part 3: Impulse and Momentum
MEE Engineering Mechanics II Lecure 4 Lecure 4 Kineics of a paricle Par 3: Impulse and Momenum Linear impulse and momenum Saring from he equaion of moion for a paricle of mass m which is subjeced o an
More informationSTRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN
Inernaional Journal of Applied Economerics and Quaniaive Sudies. Vol.1-3(004) STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN 001-004 OBARA, Takashi * Absrac The
More information2.3 SCHRÖDINGER AND HEISENBERG REPRESENTATIONS
Andrei Tokmakoff, MIT Deparmen of Chemisry, 2/22/2007 2-17 2.3 SCHRÖDINGER AND HEISENBERG REPRESENTATIONS The mahemaical formulaion of he dynamics of a quanum sysem is no unique. So far we have described
More informationSolutions to Exercises in Chapter 12
Chaper in Chaper. (a) The leas-squares esimaed equaion is given by (b)!i = 6. + 0.770 Y 0.8 R R = 0.86 (.5) (0.07) (0.6) Boh b and b 3 have he expeced signs; income is expeced o have a posiive effec on
More informationECON 482 / WH Hong Time Series Data Analysis 1. The Nature of Time Series Data. Example of time series data (inflation and unemployment rates)
ECON 48 / WH Hong Time Series Daa Analysis. The Naure of Time Series Daa Example of ime series daa (inflaion and unemploymen raes) ECON 48 / WH Hong Time Series Daa Analysis The naure of ime series daa
More information1 Price Indexation and In ation Inertia
Lecures on Moneary Policy, In aion and he Business Cycle Moneary Policy Design: Exensions [0/05 Preliminary and Incomplee/Do No Circulae] Jordi Galí Price Indexaion and In aion Ineria. In aion Dynamics
More informationChapter 13 A New Keynesian Model with Periodic Wage Contracts
George Alogoskoufis, Dynamic Macroeconomic Theory, 2015 Chaper 13 A New Keynesian Model wih Periodic Wage Conracs The realizaion of he insabiliy of he original Phillips curve has gradually led o a paradigm
More informationChickens vs. Eggs: Replicating Thurman and Fisher (1988) by Arianto A. Patunru Department of Economics, University of Indonesia 2004
Chicens vs. Eggs: Relicaing Thurman and Fisher (988) by Ariano A. Paunru Dearmen of Economics, Universiy of Indonesia 2004. Inroducion This exercise lays ou he rocedure for esing Granger Causaliy as discussed
More informationSeminar 4: Hotelling 2
Seminar 4: Hoelling 2 November 3, 211 1 Exercise Par 1 Iso-elasic demand A non renewable resource of a known sock S can be exraced a zero cos. Demand for he resource is of he form: D(p ) = p ε ε > A a
More information( ) = b n ( t) n " (2.111) or a system with many states to be considered, solving these equations isn t. = k U I ( t,t 0 )! ( t 0 ) (2.
Andrei Tokmakoff, MIT Deparmen of Chemisry, 3/14/007-6.4 PERTURBATION THEORY Given a Hamilonian H = H 0 + V where we know he eigenkes for H 0 : H 0 n = E n n, we can calculae he evoluion of he wavefuncion
More information1 Answers to Final Exam, ECN 200E, Spring
1 Answers o Final Exam, ECN 200E, Spring 2004 1. A good answer would include he following elemens: The equiy premium puzzle demonsraed ha wih sandard (i.e ime separable and consan relaive risk aversion)
More informationLecture Notes 5: Investment
Lecure Noes 5: Invesmen Zhiwei Xu (xuzhiwei@sju.edu.cn) Invesmen decisions made by rms are one of he mos imporan behaviors in he economy. As he invesmen deermines how he capials accumulae along he ime,
More informationKINEMATICS IN ONE DIMENSION
KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings move how far (disance and displacemen), how fas (speed and velociy), and how fas ha how fas changes (acceleraion). We say ha an objec
More informationPredicting Money Multiplier in Pakistan
The Pakisan Developmen Review 39 : (Spring 2000) pp. 23 35 Predicing Money Muliplier in Pakisan MUHAMMAD FAROOQ ARBY The paper has developed ime-series models for he monhly money muliplier and is componens,
More informationEconomics 6130 Cornell University Fall 2016 Macroeconomics, I - Part 2
Economics 6130 Cornell Universiy Fall 016 Macroeconomics, I - Par Problem Se # Soluions 1 Overlapping Generaions Consider he following OLG economy: -period lives. 1 commodiy per period, l = 1. Saionary
More informationChapter Floating Point Representation
Chaper 01.05 Floaing Poin Represenaion Afer reading his chaper, you should be able o: 1. conver a base- number o a binary floaing poin represenaion,. conver a binary floaing poin number o is equivalen
More information