Economics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 4/25/2011. UW Madison

Similar documents
14.02 Principles of Macroeconomics Fall 2005 Quiz 3 Solutions

CHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano

Economics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison

Mundell-Fleming I: Setup

Themes. Flexible exchange rates with inflation targeting. Expectations formation under flexible exchange rates

14.02 Principles of Macroeconomics Problem Set 5 Fall 2005

THE SHORT-RUN AGGREGATE SUPPLY CURVE WITH A POSITIVE SLOPE. Based on EXPECTATIONS: Lecture. t t t t

The Science of Monetary Policy

CHAPTER CHAPTER15. Financial Markets and Expectations. Prepared by: Fernando Quijano and Yvonn Quijano

UNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Charging of capacitor through inductor and resistor

Diploma Macro Paper 2

AR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 )

Solutions to End-of-Chapter Problems for Chapters 26 & 27 in Textbook

The Open Economy in the Short Run

The Mundell-Fleming Model: Stochastic Dynamics

Chapter 9 Review Questions

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

Boyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors

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

Midterm Examination (100 pts)

Chapter 13 Aggregate Supply

Midterm exam 2, April 7, 2009 (solutions)

I) Title: Rational Expectations and Adaptive Learning. II) Contents: Introduction to Adaptive Learning

CSE 245: Computer Aided Circuit Simulation and Verification

Monetary Policy and Exchange Rate Overshooting in Iran

EXERCISE - 01 CHECK YOUR GRASP

Elementary Differential Equations and Boundary Value Problems

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule

Institute of Actuaries of India

Demand Shocks, Credibility and Macroeconomic Dynamics

B) 25y e. 5. Find the second partial f. 6. Find the second partials (including the mixed partials) of

Exchange rates in the long run (Purchasing Power Parity: PPP)

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

Let s look again at the first order linear differential equation we are attempting to solve, in its standard form:

Lecture 2: Current in RC circuit D.K.Pandey

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

1973 AP Calculus BC: Section I

3. The Rational Expectations Revolution

Foreign Exchange Reserves and Inflation: An Empirical Study of Five East Asian Economies

ANSWERS TO EVEN NUMBERED EXERCISES IN CHAPTER 11

Gerhard Illing Script: Money - Theory and Practise

Spring 2006 Process Dynamics, Operations, and Control Lesson 2: Mathematics Review

10. If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve

Decline Curves. Exponential decline (constant fractional decline) Harmonic decline, and Hyperbolic decline.

Microscopic Flow Characteristics Time Headway - Distribution

Inflation and Unemployment

University of Kansas, Department of Economics Economics 911: Applied Macroeconomics. Problem Set 2: Multivariate Time Series Analysis

A Dynamic Model of Economic Fluctuations

Final Exam : Solutions

Estudios de Economía Aplicada ISSN: Asociación Internacional de Economía Aplicada.

Terms-of-trade Shocks and Exchange Rate Regimes in a Small Open Economy

Lecture 1: Growth and decay of current in RL circuit. Growth of current in LR Circuit. D.K.Pandey

On the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument

Double Slits in Space and Time

Economics 201b Spring 2010 Solutions to Problem Set 3 John Zhu

2. Laser physics - basics

1. Inverse Matrix 4[(3 7) (02)] 1[(0 7) (3 2)] Recall that the inverse of A is equal to:

Discussion 06 Solutions

Wave Equation (2 Week)

Principles of Humidity Dalton s law

Bifurcation Theory. , a stationary point, depends on the value of α. At certain values

REPETITION before the exam PART 2, Transform Methods. Laplace transforms: τ dτ. L1. Derive the formulas : L2. Find the Laplace transform F(s) if.

Methodology for Analyzing State Tax Policy By Orphe Pierre Divounguy, PhD, Revised by Andrew J. Kidd, PhD (May 2018)

ON THE CONTINGENCY OF EQUILIBRIUM EXCHANGE RATES WITH TIME- CONSISTENT ECONOMIC POLICIES

An Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT

Financial Econometrics Jeffrey R. Russell Midterm Winter 2009 SOLUTIONS

4.3 Design of Sections for Flexure (Part II)

The data: Unemployment, CPI inflation, and CPI inflation expectations (Prospera)

EXCHANGE RATE REGIME AND HOUSEHOLD S CHOICE OF DEBT

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

Foreign Reserve Management in an Oil Economy: Macroeconomic Risk as a Real Option.

2.1. Differential Equations and Solutions #3, 4, 17, 20, 24, 35

4. Which of the following organs develops first?

Problem Set 5. Graduate Macro II, Spring 2017 The University of Notre Dame Professor Sims

Continous system: differential equations

The van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012

Investigating Neutrality and Lack of Neutrality of Money in Iranian Economy

WITHOUT NEGLECTING THE ECONOMIC GROWTH: MONETARY POLICY, CREDIBILITY, AND INFLATION TARGETING IN AN IS-MP MODEL

5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t

H is equal to the surface current J S

Exchange Rate Expectations

An extended dynamic IS-LM model of exchange rate adjustments and movements

CPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees

The Optimal Timing of Transition to New Environmental Technology in Economic Growth

1 Isoparametric Concept

William Barnett. Abstract

11/11/2018. Chapter 14 8 th and 9 th edition. Aggregate Supply and the Short-run Tradeoff Between Inflation and Unemployment.

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is

XV Exponential and Logarithmic Functions

SCHOOL OF FINANCE AND ECONOMICS

EE 350 Signals and Systems Spring 2005 Sample Exam #2 - Solutions

Decomposing the relationship between international bond markets

Part I: Short Answer [50 points] For each of the following, give a short answer (2-3 sentences, or a formula). [5 points each]

Applied Statistics and Probability for Engineers, 6 th edition October 17, 2016

Voltage v(z) ~ E(z)D. We can actually get to this wave behavior by using circuit theory, w/o going into details of the EM fields!

DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS. Assoc. Prof. Dr. Burak Kelleci. Spring 2018

Consider a system of 2 simultaneous first order linear equations

Inverse Fourier Transform. Properties of Continuous time Fourier Transform. Review. Linearity. Reading Assignment Oppenheim Sec pp.289.

Transcription:

conomics 302 (Sc. 001) Inrmdia Macroconomic Thory and Policy (Spring 2011) 4/25/2011 Insrucor: Prof. Mnzi Chinn Insrucor: Prof. Mnzi Chinn UW Madison

21 1 Th Mdium Run ε = P * P Thr ar wo ways in which h ral xchang ra can adjus:, or P & P* Th aggrga dmand rlaion in an opn conomy wih fixd xchang ra is P Y = Y, G, T * P (, +, ) M/P dosn appar, bu ral ra dos. 2of 32

21 1 Th Mdium Run Aggrga Dmand dundr Fixd xchang R Ras P Y = Y, G, T * P (, +, ) In a closd conomy, h aggrga dmand rlaion ook h sam form as abov, xcp for h prsnc of h ral mony sock M/P insad of h ral xchang ra ĒP/P*. Undr fixd xchang ras, h cnral bank givs up monary policy as a policy insrumn. This is why h mony sock no longr appars in h aggrga dmand rlaion. A h sam im, h fac ha h conomy is opn implis ha w mus includ a variabl ha w did no includ whn looking a h closd conomy arlir, namly, h ral xchang ra, ĒP/P*. 3of 32

21 1 Th Mdium Run quilibrium in h Shor Run and in h Mdium Run Figur 21 1 Aggrga Dmand and Aggrga Supply in an Opn conomy Undr Fixd xchang Ras An incras in h pric lvl lads o a ral apprciaion and a dcras in oupu: Th aggrga dmand curv is downward sloping. An incras in oupu lads o an incras in h pric lvl: Th aggrga supply curv is upward sloping. 4of 32

21 1 Th Mdium Run quilibrium i in h Shor Run and in h Mdium Run Th aggrga supply rlaion is: Y P= P (1 + μ) F 1, z L Th pric lvl P dpnds on h xpcd pric lvl P, and on h lvl of oupu Y. Thr ar wo mchanisms a work: Th xpcd pric lvl affcs nominal wags which affc pric lvls. Highr oupu lads o highr mploymn, which lads o lowr unmploymn, highrwags wags, andhighrpric lvls. 5of 32

21 1 Th Mdium Run quilibrium i in h Shor Run and in h Mdium Run Figur 21 2 Adjusmn undr Fixd xchang Ras Th aggrga g supply curv shifs down ovr im, lading o a dcras in h pric lvl, o a ral dprciaion, and o an incras in oupu. Th procss nds whn oupu has rurnd o is naural lvl. 6of 32

21 1 Th Mdium Run Th Cas for and agains a Dvaluaion Figur 21 3 Adjusmn wih a Dvaluaion A dvaluaion of h righ siz can shif aggrga dmand o h righ, moving h conomy o poin C. A poin C, oupu is back o h naural lvl of oupu. 7of 32

Th Rurn of Briain o h Gold Sandard: Kyns vrsus Churchill Th gold sandard was a sysm in which ach counry fixd h pric of is currncy in rms of gold and sood rady o xchang gold for currncy a h sad pariy. 8of 32

21 2 xchang Ra Criss undr Fixd xchang Ras Suppos a counry is opraing undr a fixd xchang ra, and ha financial i invsors sar bliving bli i hr may soon b an xchang ra adjusmn: Th ral xchang ra may b oo high, h domsic currncy may b ovrvalud. Inrnal condiions may call for a dcras in h domsic inrs ra, a dcras in h domsic inrs ra canno b achivd undr fixd xchang ras. If crdibl, hn wha is ru is: 9of 32 i = i * +1 ( )

21 2 xchang Ra Criss undr Fixd xchang Ras xpcaions ha a dvaluaion may b coming can riggr an xchang ra crisis. Th govrnmn and cnral bank hav a fw opions: Thy can ry o convinc marks hy hav no innion of dvaluing. Th cnral bank can incras h inrs ra. vnually, h choic for h cnral bank bcoms ihr o incras h inrs ra or o valida h mark s xpcaions and dvalu. 10 of 32

Th 1992 MS Crisis 11 of 32 Figur 1 xchang Ras of Slcd uropan Counris Rlaiv o h Dusch Mark, January 1992 o Dcmbr 1993

21 3 xchang Ra Movmns undr Flxibl xchang Ras Tak h inrs pariy condiion: * (1 + i) = (1 i ) + 1 Muliply boh sids by + 1 = 1 + i 1 + i Thn wri h quaion for yar +1 rahr han for yar : * + 1 12 of 32 1+ i + 1 = 1 + i + 1 * + 2 + 1

21 3 xchang Ra Movmns undr Flxibl xchang Ras Th xpcaion of h xchang ra in yar +1, hld as of yar, is givn by + 1 1+ i = 1 + i Rplacing wih h xprssion abov givs + 1 + 1 * + 2 + 1 (1 + i)(1 + i ) + 1 = + (1 + i )(1 + i * * 2 Coninuing o solv forward in im in h sam way w g + 1 = 1+ i 1 + i... 1+ i ( )( ) ( ) + 1 + n 1+ i 1 + i... 1+ i ( )( ) ( ) * * * + 1 + n + n+ 1 13 of 32

21 3 xchang Ra Movmns undr Flxibl xchang Ras xchang Ras and Currn and Fuur Inrs Ras Anyfacor ha movs h currn orxpcd fuur domsic or forign inrs ras bwn yar and +n movs h currn xchang ra. xchang Ra Volailiy Th rlaion bwn h inrs ra i and h xchang ra is all bu mchanical. A counry ha dcids o opra undr flxibl xchang ras mus accp ha i will b xposd o flucuaions ovr im. 14 of 32

21 4 Choosing bw. xchang Ra Rgims Should counris choos flxibl xchang ras or fixd xchang ras? In h shor run, undr fixd xchang ras, a counry givs up is conrol of h inrs ra and h xchang ra. Also, anicipaion i ha a counry may b abou o dvalu is currncy may lad invsors o ask for vry high inrs ras. Anargumn agains flxibl xchang ras is hahymay hy mov a lo and may b difficul o conrol hm hrough monary policy. 15 of 32

21 4 Choosing bw. xchang Ra Rgims In gnral, flxibl xchang ras ar prfrabl. Thr ar, howvr, wo xcpions: Firs, whn a group of counris is alrady ighly ingrad, a common currncy may b h righ soluion. Scond, whn h cnral bank canno b rusd o follow a rsponsibl monary policy undr flxibl xchang ras, a srong form of fixd xchang ras, such as a currncy board or dollarizaion, may provid a soluion. Opimal Common Currncy Aras Two condiions mus b saisfid: Th counris xprinc similar shocks; hus, can choos roughly h sam monary policy. Counris hav high facor mobiliy, which allow counris o adjus o shocks. 16 of 32

Th uro: A Shor Hisory Th uropan Monary Union (MU) was consolidad undr h Maasrich Tray. In January 1999, pariis bwn h currncis of 11 counris and h uro wr irrvocably fixd. Th nw uropan Cnral Bank (CB), basd in Frankfur, bcam rsponsibl for monary policy for h uro ara. 17 of 32

21 4 Choosing bw. xchang Ra Rgims Hard Pgs, Currncy Boards, and Dollarizaion On way of convincing financial marks ha a counry is srious abou rducing mony growh is a pldg o fix is xchang ra, now and in h fuur. A hard pg is h symbolic or chnical mchanism by which a counry plans o mainain xchang ra pariy. Dollarizaion is an xrm form of a hard pg. A lss xrm way is h us of a currncy board involving h cnral bank. 18 of 32