The Macroeconomic Environment Presentation 1 Topics: Introduction, Real Vs. Nominal, The Production Function 18:34 30/01/2024 The Macroeconomic Environment, IDC 1 What Macroeconomics Study? Rich Vs. Poor countries Causes of Inflation Recessions, depressions The influence of Government Policies 18:34 30/01/2024 The Macroeconomic Environment, IDC 2 The State of The Economy Affects Everyone Business people College graduates Senior citizens Macroeconomics is central for world politics: Euro zone China’s fixed exchange rate towards the US dollar. US large trade deficit 18:34 30/01/2024 The Macroeconomic Environment, IDC 3 The work of Macroeconomists Data: Income Prices Unemployment Many more other variables All from different time periods and different countries. Purpose: to formulate general theories to explain this data 18:34 30/01/2024 The Macroeconomic Environment, IDC 4 Macroeconomics Young and imperfect science. Predicting Economic Future = Predicting next month’s temperature Yet the existing knowledge is useful For explaining economic events For formulating economic policy. 18:34 30/01/2024 The Macroeconomic Environment, IDC 5 Topics of this course The GDP/GNP and its growth The Aggregate Demand: The Private Consumption Investment Government Consumption Export Import 18:34 30/01/2024 The Macroeconomic Environment, IDC 6 Topics of this course - continue The money market The Aggregate Supply The Products Market. Issues of the open economy. Fiscal Policy Monetary policy, expectation and inflation Long Term vs. Short Term considerations 18:34 30/01/2024 The Macroeconomic Environment, IDC 7 Measuring the Value of Economic Activity: Gross Domestic Product GDP The Market Value of all final goods and services produced within an economy in a given period of time. 18:34 30/01/2024 The Macroeconomic Environment, IDC 8 Basic Concepts – National Accounting Added Value – The Value Added by the business unit. Example – Shoe maker took leather, and the strings and created a shoe. The value of the show minus the value of the inputs is the added value. The Product of the Business Sector – The total added value of all the business units including the government companies. 18:34 30/01/2024 The Macroeconomic Environment, IDC 9 Real GDP Versus Nominal GDP Assume an economy produces only two goods: apples and oranges. GDP=(Price of Apples X Quantity of Apples) + (Price of Oranges X Quantity of Oranges). Nominal GDP: the value of goods and services measured in current prices. 18:34 30/01/2024 The Macroeconomic Environment, IDC 10 Real GDP Versus Nominal GDP- Cont’d Real GDP: the value of goods and services measured by a constant set of prices. Real GDP2009 = (Price 2009 of Apples X Quantity 2009 of Apples) + (Price 2009 of Oranges X Quantity 2009 of Oranges). Real GDP2010 = (Price 2009 of Apples X Quantity 2010 of Apples) + (Price 2009 of Oranges X Quantity2010 of Oranges). 18:34 30/01/2024 The Macroeconomic Environment, IDC 11 Computing Changes in Data over time percentage change. We want to know what was the percentage change in the value of nominal GDP between time t to time t+1. 100 * GDPt 1 GDPt 1 GDPt GDPt 1 100 100 * 1 100 * GDPt GDPt GDPt When we compare data over time we are interested in the “real” changes of the variables. This are the changes which are not attributed to changes in prices. 12 18:34 30/01/2024 The Macroeconomic Environment, IDC Understanding Data- Real and Nominal Values Example: In year 2008 the worker earned 1000 shekels per week In year 2009 the worker earned 1200 shekels per week How much did the worker’s wage changed between the years 2008-2009? How much has the purchasing power grown? Assume: prices increased by 4% from 2008 to 2009. 18:34 30/01/2024 The Macroeconomic Environment, IDC 13 Price level (P) and inflation rate t Price level is a relative concept: Price level at the end of December 2008 is determined as a base: so the price level of year 2008 is P=1. If during 2009 there is a price increase of 4% so we say the Inflation rate during 2009 was = 4%. At the end of 2009 the price level is P=1.04. Therefore the connection between the price level and the inflation rate is: Pt 1 Pt (1 t ) 14 18:34 30/01/2024 The Macroeconomic Environment, IDC Real and Nominal Interest Rate At January 1st, 2008 one took a loan of 1000 NIS. At December 31st, 2008 a sum of 1100 shekels was returned, including interest. What is the interest rate on the loan? Assume: during the period price increased by 4%. 18:34 30/01/2024 The Macroeconomic Environment, IDC 15 GDP Per Capita Current Prices $US 2013 120000 100000 80000 60000 40000 20000 0 Source: International Monetary Fund, World Economic Outlook Database, October 2014 18:34 30/01/2024 Source: IMF The Macroeconomic Environment, IDC 16 Data http://www.imf.org/external/datamapper/index .php This link shows world maps of GDP Per Capita GDP Growth Source: IMF Data 18:34 30/01/2024 The Macroeconomic Environment, IDC 17 Expansion Recession Depression 18:34 30/01/2024 The Macroeconomic Environment, IDC 18 18:34 30/01/2024 The Macroeconomic Environment, IDC 19 Basic Concepts Expansion: periods in which the production and employment increase. Recession: periods of economic downturn in which the employment and the production decrease. Business cycle: the change in the short run between recession and expansion. Depression: long and deep recession. 18:34 30/01/2024 The Macroeconomic Environment, IDC 20 Inflation Percentage Change 2013 12 10 8 6 4 2 0 -2 Source: International Monetary Fund, World Economic Outlook Database, October 2014 18:34 30/01/2024 The Macroeconomic Environment, IDC 21 Basic Concepts in the Labor Market 8,462,000 Total Population 5,775,100 Population that is not in the working age (Youngsters, retired) Population in the Working Age (15-64) Do Not Participate in the Labor Force 5.4% 210,000 Participate in the )64.5%) 3,901,000 Labor Force Unemployed Employed. 3,691,000 Employment Rate =The Rate of those employed out of the total population in the Working age 18:34 22 30/01/2024 The Macroeconomic Environment, IDC 22 Basic Concepts – Labor Market Rate of participation in the labor force – labor force (number of employed + number of job seekers)/amount of population in the working age. Unemployment rate – the amount of unemployed out of the number of employed + number of job seekers (not including people in the working age who are not looking for jobs). Deflation: periods of decrease in prices 18:34 30/01/2024 The Macroeconomic Environment, IDC 23 Basic Concepts – The Labor Market Total Labor Force =Participation in the Labor Force Population in the working age Unemployed = Total Labor Force )u(Unemployment Rate Employed Employment Rate Population in the working age Natural Unemployment Rate- Unemployment that Stems from Frictional and Structural Unemployment – Impossible to narrow down in the short run. 18:34 24 30/01/2024 The Macroeconomic Environment, IDC 24 Source: International Monetary Fund, World 18:34 30/01/2024 Economic Outlook Database, October 2014 27.3 26.1 16.6 13.0 12.2 10.3 8.4 8.0 7.6 7.4 7.1 7.1 7.0 7.0 6.9 6.4 6.3 5.9 5.7 5.4 5.3 4.9 4.3 4.1 4.0 4.0 3.5 3.2 3.1 10.3 16.2 UNEMPLOYMENT 2013 The Macroeconomic Environment, IDC 25 Employment Rate – Population Age 25-64 Percent Group 2010 2015 Jews, non ultra orthodox 79 80.5 Ultra Orthodox 32.9 40.9 Arab 66.8 71.7 Jews, non ultra Women orthodoxs Ultra Orthodox Arab 70.3 50.5 19.9 75.5 65.1 29.4 Men 18:34 Theהמאקרו Macroeconomic 26 30/01/2024 מושגי יסוד במאקרו כלכלה- כלכלית הסביבה- Environment, ד"ר יצחק אורוןIDC 26 The Macroeconomic Environment Topics: Monetary Policy and Short Run Equilibrium 1 Determining the Interest Rate r 3 2 IS 675 800 Y The IS-MP model The IS curve itself does not tell us what either the interest rate or output is. We know that the economy should be on the curve, but we don’t know where. To pin down where, we need a second relationhip between interest rate and output. 3 Monetary Policy Monetary policy is conducted by the central bank. The goal of the central bank (CB): Price stability Full employment 4 Monetary Policy (non-conventional) Rebuild the financial markets Purchasing Giving Financial Assets. Liquidity 5 Monetary Expansion (Interest Rate Almost Zero) Policy Goal Commitment Purchasing To continue Bonds. The policy מדיניות כספית ושיווי משקל בזמן הקצר במשק סגור- הסביבה המאקרו כלכלית- ד"ר יצחק אורון Policy Tools Inflation and Inflation Target Inflation Target (range) is in light blue. Inflation in CPI is in organge ""דה מרקר 28.10.14 6 Jul- 9 Jan- 3 9 Jul- 94 Jan- 4 9 Jul- 95 Jan- 5 96 Jul- 9 Jan- 6 9 Jul- 97 Jan- 7 98 Jul- 9 Jan- 8 9 Jul- 99 Jan- 9 0 Jul- 00 Jan- 0 0 Jul- 01 Jan- 1 0 Jul- 02 Jan- 2 03 Jul- 0 Jan- 3 0 Jul- 04 Jan- 4 05 Jul- 0 Jan- 5 0 Jul- 06 Jan- 6 0 Jul- 07 Jan- 7 0 Jul- 08 Jan- 8 0 Jul- 09 Jan- 9 1 Jul- 10 Jan- 0 1 Jul- 11 Jan- 1 12 Jul- 1 Jan- 2 1 Jul- 13 Jan- 3 1 Jul- 14 Jan- 4 1 Jul- 15 Jan- 5 16 Inflation and Inflation Target in Israel 16 14 12 10 8 6 4 2 0 -2 -4 7 Expectations of Inflation 1994-2015 14 12 10 8 6 4 2 0 -2 ול93- י נו94- יול94- י נו95- י ול95- י נו96- יול96- י נו97- יול97- י נו98- יול98- י נו99- י ול99- י נו00- י ול00- י נו01- יול01- י נו02- יול02- י נו03- יול03- י נו04- יול04- י נו05- י ול05- י נו06- יול06- י נו07- יול07- י נו08- יול08- י נו09- יול09- י נו10- י ול10- י נו11- יול11- י נו12- יול12- י נו13- יול13- י נו14- י ול14- י נו15- יול15- י נו16- י ד"ר יצחק אורון -הסביבה המאקרו כלכלית -מדיניות כספית ושיווי משקל בזמן הקצר במשק סגור 8 Monetary Policy The main instrument: short term nominal interest rate. The Bank of Israel determines the interest rate once a month and Publicizes its consideration on its website. 9 The Interest Rate of the Bank of Israel 1993-2015 18 16 14 12 10 8 6 4 2 0 יול93- ינו94- יול94- ינו95- יול95- ינו96- יול96- ינו97- יול97- ינו98- יול98- ינו99- יול99- ינו00- יול00- ינו01- יול01- ינו02- יול02- ינו03- יול03- ינו04- יול04- ינו05- יול05- ינו06- יול06- ינו07- יול07- ינו08- יול08- ינו09- יול09- ינו10- יול10- ינו11- יול11- ינו12- יול12- ינו13- יול13- ינו14- יול14- ינו15- יול15- ינו16- 10 Return on Short Term Loan and on One Year Bond 1993-2014 18 16 14 12 10 8 6 4 2 0 -2 ול93- י נו94- יול94- י נו95- י ול95- י נו96- יול96- י נו97- יול97- י נו98- יול98- י נו99- י ול99- י נו00- יול00- י נו01- יול01- י נו02- יול02- י נו03- י ול03- י נו04- י ול04- י נו05- יול05- י נו06- יול06- י נו07- יול07- י נו08- יול08- י נו09- י ול09- י נו10- יול10- י נו11- יול11- י נו12- יול12- י נו13- י ול13- י נו14- יול14- י נו15- יול15- י נו16- י מק"מ אג"ח צמוד לשנה 11 The Bank of Israel interest rate and The Inflation Expectations 1993-2015 18 ול93- י נו94- יול94- י נו95- י ול95- י נו96- י ול96- י נו97- יול97- י נו98- יול98- י נו99- יול99- י נו00- יול00- י נו01- יול01- י נו02- י ול02- י נו03- יול03- י נו04- יול04- י נו05- יול05- י נו06- יול06- י נו07- י ול07- י נו08- י ול08- י נו09- יול09- י נו10- יול10- י נו11- יול11- י נו12- יול12- י נו13- י ול13- י נו14- י ול14- י נו15- יול15- י נו16- י ריבית ב"י ציפיות לאינפלציה 16 Interest Rate 14 12 10 8 6 4 12 0 Inflation Expectations 2 -2 The Bank of Israel interest rate and The Inflation Expectations 1993-2015 18 15 ול93- י נו94- יול94- י נו95- י ול95- י נו96- י ול96- י נו97- יול97- י נו98- יול98- י נו99- יול99- י נו00- יול00- י נו01- יול01- י נו02- י ול02- י נו03- יול03- י נו04- יול04- י נו05- יול05- י נו06- יול06- י נו07- י ול07- י נו08- י ול08- י נו09- יול09- י נו10- יול10- י נו11- יול11- י נו12- יול12- י נו13- י ול13- י נו14- י ול14- י נו15- יול15- י נו16- י ריבית ב"י אינפלציה 12 Interest Rate 9 6 Inflation Expectations ד"ר יצחק אורון -הסביבה המאקרו כלכלית -מדיניות כספית ושיווי משקל בזמן הקצר במשק סגור 13 3 0 -3 The Growth Rate of the GDP in OECD and the International Trade 14 Policy Tools Bank of Israel ד"ר יצחק אורון -הסביבה המאקרו כלכלית -מדיניות כספית ושיווי משקל בזמן הקצר במשק סגור 15 Monetary Policy : Definitions i - nominal interest rate r - real interest rate e Expected Inflation T Inflation target r T Real Interest rate target GDP gap 16 Y full Y Y full r i e Monetary Policy : The Taylor Rule • The central bank chooses the nominal interest rate (i) r i e • The real interest rate (r) is defined as the nominal interest rate minus the expected inflation rate. 17 Monetary Policy : Taylor Rule i T rT (1 )( e T ) (GDP gap) By determine i the Central Bank determines r: r i e r i e T e r T (1 )( e T ) (GDP gap) r T (1 (1 )) e ((1 ) 1) r T (GDP gap) r T ( ) e ( ) r T (GDP gap) r r T ( e T ) (GDP gap) 18 The Interest Rate of the Bank of Israel The Interest According to Taylor’s Rule 1993-2004 25 20 15 10 5 0 -5 י נו05- י ול03- י נו04- י ול04- י נו03- ול02- י י נו02- ול01- י י נו01- ול00- י י נו00- ול99- י י נו99- ול98- י י נו98- ול97- י י נו97- ול96- י י נו96- ול94- י נו95- י ול95- י י נו94- ול93- י T. Strict Taylor ריבית ב"י 19 Monetary Policy: The Taylor Rule and MP curve r r ( ) ( T e T Y full Y Y full ) Notice: The interest rate is a function of Y!!!! All the other elements in the equations are constants!!! They are not determined by the market but elsewhere. r , , , Y full T 21 e T Monetary Policy: The Taylor Rule and MP curve r r T ( e T ) (GDP gap) e r Y full Y Y r full Y When GDP gap ↑→ r ↓ (it is preceded by a minus sign). When GDP gap↓→ r ↑ When Y↑→ GDP gap↓→ r ↑ We can draw a curve that presents the real interest rate the CB Determines for a given known expected inflation. It is called the Monetary Policy: MP=r(Y). 22 Monetary Policy: The Taylor Rule and MP curve r r T ( e T ) (GDP gap) All else equal – the central bank prefers output to be higher. Thus when output declines, they reduce interest rate in order to increase the demand for goods and thereby stem the fall in output. But the central bank cannot just keep cutting the interest rate and raising the demand for good further and further, since if Y increases more than Yfull, prices may rise. Since the CB wants to keep inflation from becoming too high, they raise the interest rate when output rise. It is these twin concerns about output and inflation that causes the central bank to make the real interest rate an increasing function of output. 23 The Taylor Rule and the MP Curve: An Example r r T ( e T ) (GDP gap) Example: rT 3 0 .5 2 e 4 T 3 YF 1,000 24 YF Y GDP GAP YF The Taylor Rule and the MP Curve: An Example MP : r r T ( e T ) (GDP gap ) 1,000 Y MP : r 3 0.5(4 3) 2 1,000 2Y 2Y MP : r 3.5 2 1.5 1,000 1,000 r MP 1.5 25 Y Monetary Policy: The MP Curve r MP1 MP shifts because of an increase in expected Inflation or due to a the change level of the target values. 26 MP0 A movement on MP due To a change in GDP Y Growth of GDP (quarter vs. the same quarter in the previous year. The Interest rate of the Central Bank (quarterly average) 2006 אוגוסט,סקירה כלכלית ופיננסית – בנק הפועלים 27 IS-MP A Short Term Equilibrium in the Goods Market r MP0 r0 IS 28 Y0 Y IS-MP An Increase in the Government Expenditure r MP0 r1 r0 29 IS1 IS0 Y0 Y1 Y IS-MP An Increase in the Expected Inflation r MP1 MP0 r1 r0 IS0 30 Y1 Y0 Y Types of Monetary Policy An expanding monetary policy: shifts the MP curve downwards (to the right) – the interest rate will be lower for any given expected inflation and GDP. A contracting monetary policy Shifts the MP curve upward (to the left) – the interest rate will be higher for any given expected inflation and GDP. 31 A Tax Increase and an Expanding Monetary Policy to Maintain the level of employment . r MP0 MP1 r0 r1 IS0 IS1 Y0 32 Y The Macroeconomic Environment Presentation #7: The Open Economy 1 1 The Open Economy Introducing consideration that leads to import and export activity. For this activity – we need foreign currency. Foreign currency is a good – it is bought and sold in world markets. Our central bank is not allowed to print foreign currency. 2 Daily Exchange Rate –NIS vs. Dollar USA 3 Foreign Currency Market Supply of Foreign Currency Exports of goods abroad Gifts from abroad Investment from abroad Loans from abroad Demand for forigen currency Imports from abroad Gifts to foreign countries Investment abroad Loans to citizens abroad e S Nominal Exchange Rate D foreign currency quantity 4 4 Foreign Currency Market Supply of Foreign Currency How will a change in P will affect Supply of foreign currency? How will a change in P$ will affect Supply of foreign currency Demand for foreign currency How will a change in P will affect Demand for foreign currency? How will a change in P $ will affect Demand for foreign currency? e S Nominal Exchange Rate D foreign currency quantity 5 5 Foreign Currency Market – How the nominal and real exchange rate interact e P$ P S e P$ P 2 e P$ P 0 e P$ P 1 D Foreign currency quantity P excess demand for foreign currency e $ P excess supply for foeign currency e 6 6 The Open Economy – Exchange Rate Nominal Exchange rate (denoted e)– The price of foreign currency in local currency units. i.e. e=3.7 shekels for $1, means that the nominal exchange rate is 3.7 shekels to dollar. The decision of whether to import or export a product i is based on comparison of two prices: $ Compare e Pi$ and Pi e Pi$ Pi e Pi$ Pi 1 and compute i this product will be imported. 1 this product will be exported. e Pi Pi why? The price in NIS of the foreign good is lower than the price of the local good. why? producers get higher income from selling the product abroad then locally. 7 The Open Economy – Exchange Rate We can talk about the total imports and total exports. We will use the price level in each country to determine: Compare $ e Plevel and Plevel Denote: real exchange rate ε $ e Plevel Plevel 8 8 The Open Economy – Exchange Rate real exchange rate $ e Plevel Plevel When the real exchange rate increase it means that the goods from the US become more expensive than goods from Israel. This means that imports from the US will decrease, but exports to the US will increase.* 9 9 The effect of an increase in national income We assume that since when Y↑→C↑ → IM↑ When income increases the demand for foreign currency increases. e P$ P S D0 D1 An increase in the national income leads to an increase in the nominal and real exchange rate. Foreign currency quantity 10 10 The Interest Rate and the Foreign Exchange Market In the global economy foreign currency flow between countries for purposes such as loans, deposits and investments. Definition: CF (capital flow) – Net flow of capital (foreign currency) into our economy CF depends on the differences between the local and the foreign interest rate (r* ( . We will take r* as given. r CF(r-r1*) CF(r-r0*) r1*>r0* CF (r r* ) 11 CF 11 Foreign Currency Market with CF e P P $ S e P$ P CF(r-r*) e P$ P S0 S1 CF Quantity of foreign currency Quantity of foreign currency Quantity of foreign currency 12 12 Currency Market with Cash Flow e P$ P S0 S1 CF D Quantity of foreign currency CF = IM - EX 13 13 The Net Capital Flow to the market CF = IM(Y) - EX The difference between the value of imports and the value of exports equals capital inflows. Capital flow depends on the interest rate. When the central bank increases the interest rate, the net capital flow increases and the import surplus increases. r CF (r r*) ( IM EX ) 14 14 A Different Presentation of the Market For Foreign Currency e P$ P CF IM-Ex=0 IM=Ex IM-EX CF 15 15 The Effect of an Increase in the Local e P Interest Rate $ S1 P e1 P $ P $ e2 P P S2 The supply of Foreign currency with CF. CF D Quantity of currency e * P$ r CF (r r*) Supply of foreign currency P 16 16 The Aggregate Demand in the Open Market E = C + I + G + EX- IM CF(r-r*) = IM - EX E – total expenditure = AD C - consumption I – Investment G – government spending Ex - export Im - Import CF - net capital inflow E = C + I + G - CF(r-r*) An equilibrium in the market for goods: E = Y C + I + G – CF(r-r*) = Y 17 17 The IS Curve in the Open Economy We build the IS curve in an open economy in the very same way that we built it in the closed economy. In the closed economy: r C, I E In an open economy: E = C + I + G - CF(r-r*) r C, I , CF E E E = C + I(r0) + G - CF(r0-r*) E = C + I(r1) + G - CF(r1-r*) 18 r1>r0 Y 18 Short Run Equilibrium r r IS CF (r-r*) r0 MP Y0 Y e P$ P CF CF IM-EX 19 19 The Effect of Expanding Fiscal Policy r IS 0 r IS1 CF r1 r0 MP Y Y0 Y1 e P$ P CF Fiscal policy: change in G or T. Expanding fiscal policy: Means that G increase, T decrease, or G-T increase. IM-EX 20 20 The Effect of an Decrease in the Expected Inflation Rate r r IS CF r0 r1 MP0 MP1 Y Y0 Y1 CF e P$ P CF1 CF0 IM-EX 21 21 The Effect of Contracting Monetary Policy r IS r CF MP1 r1 r1 r0 r0 MP Y1 Y0 Y e P P $ CF0 CF1 CF Monetary policy: change in r according to the Taylor rule. It means a shift in the MP curve. 22 Contracting monetary policy: a monetary policy that leads to a rise in r. IM-EX CF0 CF1 22 The Influence of an Increase in r* r IS r CF1 IS1 CF r1 r0 MP Y0 Y1 23 Notice: here the change starts from the CF diagram. An increase in r* leads to decrease in capital flow and hence decrease in the supply of foreign currency. IT also means a shift of the IS curve because CF decreased. The real exchange rates increase and hence IM-EX decrease. Y e P$ P CF IM-EX 23 Data about the Global Economy and The Background of the 2008 crisis The Macroeconomic Environment Dr. Yael Hadasss The Share in the GDP and in the Population 2014 Country Population (1000) Percentage of World Population Percentage of World GDP China 1,355,692,576 18.9 14.3 India 1,236,344,631 17.2 5.6 Brazil 202,656,788 2.8 2.9 Russia 142,470,272 2.0 3.4 The European Union 511,434,812 7.1 14.3 United States 318,892,103 4.4 19.1 Japan 127,103,388 1.8 4.6 The whole World 7,174,611,584 The Share in the GDP and in the Population 2014 Share of GDP Share of world's population 19.1 18.9 17.2 14.3 14.3 7.1 5.6 4.6 4.4 1.8 UNITED STATES THE EUROPEAN UNION JAPAN CHINA INDIA The Price of an Oil Barrel (Brent) 4 Commodity Prices (Bloomberg) 5 Monetary Policy The main objectives of the Bank: Financial Stability, Economic Stability. Maintaining price stability. Lender of Last Resort. Response of the central banks to the crisis – reduce the interest rates around the world. Interest Rates in US (blue) and in the Euro Zone (red) 7 Private Consumption in US Rate of Change in the Private Consumption (quarter by quarter) 8 Global Risks The Crisis’s Outcomes The crisis started as a financial crisis The central banks reduced interest rates. The government took expanding fiscal policies measures. As a result the deficits and debts of the countries increased. The Debts of various countries (Percentage of the GDP) Japan 11 USA France UK GermanyIsrael Brazil India China Russia Euro-Dollar Exchange Rate (The price of Euro in $US) 12 Inflation in the Euro Zone 13 The US data GDP (left axis) 14 Unemployment Rate (Right axis) The Israeli Economy The Israeli Economy 16 2014 2013 2012 8,216 8,059 7,907 Population (thousands) 1.03% 1.9% 1.8% Population Growth Rate 1,087 1,049 992 Nominal GDP (billion NIS) 0.8% 1.3% 1.1% GDP Per Capita Growth Rate 5.9% 6.2% 6.9% Unemployment Rate -0.2% 1.8% 1.6% Inflation Rate 0.6% 1.4% 2.3% 2.6% 3.1% 3.7% Yearly average of the Bank of Israel Interest Rate Fiscal Deficit relative to the GDP Israel GDP growth GDP and GDP of the business sector’s growth rate in Israel 12 GDP 10 GDP -Business Sector 8 6 3.3 4 1.2 2 0 -2 -4 18 18 Government Deficit and Government Debts (percent of GDP) Government Debt (left axis) Government Deficit (right axis) Inflation and Inflation Target in Israel Local Uses of the GDP 1950-2014 )Percent of GDP) 160 140 Y C+G+I C+G C 120 100 80 60 40 20 0 2014 2012 2010 2008 2006 2004 2002 2000 1998 1996 1994 1992 1990 1988 1986 1984 1982 1980 1978 1976 1974 1972 1970 1968 1966 1964 1962 1960 1958 1956 1954 1952 1950 21 Import and Export 1950-2014 )Percent of GDP) Prices of Housing in Israel Housing Price Index (nominal) Housing Price Index (real) The Macroeconomic Environment Topic: Investment 1 1/30/2024 The Macroeconomic Environment 1 The Theory of Investment Investment goods – aimed at providing higher standard of living at a later date. Investment is the component of the GDP that links the present and the future. 1/30/2024 The Macroeconomic Environment 2 Investment The investment is the most volatile macroeconomic component. The Investment = The products that were produced today, were not sold and remained for use in the business sector for the future. In crisis – the investment falls dramatically, and explains that majority of the fall in the aggregate demand. At booms it is the opposite. 1/30/2024 3 The Macroeconomic Environment 3 Investment There are 3 types of investment spending: •Business fixed investment – equipment and structures used in production. •Residential investment. •Inventory investment 4 1/30/2024 The Macroeconomic Environment 4 Investment in business fixed assets -NPV Rn Cn Ri Ci R1 C1 R2 C2 NPV ( R0 C0 ) 2 n 1 r (1 r ) (1 r ) (1 r )i NPV = Investment. NPV↑→ Investment ↑ NPV↓→ Investment ↓ r↓→ NPV↑ Technology improves → Investment ↑ 5 The Macroeconomic Environment 1/30/2024 Explaining Investment in inventory : the Accelerator We assume that when the amount of investment in inventory depends on the growth of the GDP. Investment in inventory is positively depended on the product. This is called the accelerator influence. Yt Yt 1 I Yt 1 This size is depends on the product this year. The last year’s product Is given. 6 The Macroeconomic Environment 1/30/2024 Investment : Summary The investment: Grows when y grows: positive relation to the national product False when r increase: negative relation to the interest rate. The investment is influenced mainly by the interest rate and therefore we assume that the major economic factor that influence the investment is the interest rate. 1/30/2024 The Macroeconomic Environment 7 Graphical Presentation I I(Y;r1<r0) I(Y;r0) Y 8 The Macroeconomic Environment 1/30/2024 Data about Investment * Investment is the most volatile component of the GDP. * In crisis times the investment is very small and explains the most decline in aggregate demand. * When a market is recovering from crisis the opposite is true. 1/30/2024 The Macroeconomic Environment 9 Investment 10 1/30/2024 The Macroeconomic Environment 10 1/30/2024 The Macroeconomic Environment 11 Total Gross Investment in Israel 1/30/2024 The Macroeconomic Environment 12 Total Gross Investment in Israel 1/30/2024 The Macroeconomic Environment 13 The Government’s Consumption The Macroeconomic Environment Government Budget Spending G – Government’s consumption Ig – Government’s investment Income Taxes Bonds (loans = finance the deficit) The Government’s Budget Deficit Definitions: Government Savings: Net Taxes-G= Sg If Sg<0 budget deficit. If Sg >0 a budget surplus. A yearly government deficit of 3% of GDP is considered stable. Government accumulated debt of no more than 60% of GDP is considered stable. 1/30/2024 3 1/30/2024 4 1/30/2024 5 Government’s Debt as a Percentage of GDP, (year average) Source: www.cbs.gov.il 1/30/2024 6 Why A High Government’s Deficit is bad for the economy? When the budget deficit is high the government is willing to pay more for loans (Government bonds). This raises interest rates and decrease investment and output. 1/30/2024 7 Policy Fiscal Policy – Affects the Goods Market. Operated by the Government who changes the spending on goods or taxes collected. No change in the interest rate and in the quantity of money. Expanding Fiscal Policy – Increase in Spending or Decrease in Taxes Contracting Fiscal Policy: Decrease in Spending or Increase in Taxes. 8 הצריכה הציבורית- הסביבה המאקרו כלכלית וכלכלת ישראל- ד"ר יצחק אורון Policy Monetary Policy – Operated by the Central Bank. Main tool is changing the interest rate. Following recent crises the central bank used other tools as well. 9 הצריכה הציבורית- הסביבה המאקרו כלכלית וכלכלת ישראל- ד"ר יצחק אורון Problems driven by deficits If the government wishes to finance the additional deficit through loans it must offer a higher interest rate on its bonds. This leads to lower investment and in the open economy has an adverse affect on the capital flows as we will study in the future. The Effect of Taxes on the Private Consumption Reminder from the Keynsian Theory – AD = C+G+I (AD is aggregate demand). C=C0+mpc*(Y-Tnet) Disposable income: Yd= Y-Tnet Government Financing and Private Consumption Assume: ΔG↑. Finance through tax: ΔG = ΔT The Aggregate Demand will increase by: AD G mpc * T G 1 mpc 1 mpcG AD Y G 1 mpc 1 mpc 1/30/2024 12 Financing Through Loans 2. Finance through loans: G B G AD G Y 1 mpc The difference in financing government spending will result in a different effect on the Aggregate Demand and output. 1/30/2024 13 Ricardian Equivalence David Ricardo (1772-1823). Robert Barro reintroduced the idea in 1974. Borrowing will lead to increased taxation in the future hence the public will behave as if the government financed the budget deficit with taxes.. 1/30/2024 14 Deficit and Business Cycle When Y↑ → Tax ↑ →Public debt will decrease. When Y↓ → Tax ↓ →Public debt will increase. anti-cyclic measure – in downturns the government should increase deficit in order to prevent the loss of output. 1/30/2024 15 The Macroeconomic Environment Topics: Equilibrium in the Goods Market – The IS curve 1 The Goods Market and the IS curve The IS curve plots the relationship between the interest rate and the level of income that arises in the market for goods and services. Keynes: The Aggregate Demand – AD or E In a closed economy: E=C+G+I Consumption depends on disposable income C=C(Y-T). Assume: I,G,T are not functions of Y. E=C(Y-T)+G+I In Equilibrium Y=E → Y= C(Y-T)+G+I 2 The Aggregate Expenditure - E Data C 100 0.8(Y T ) I 100 25r G 50 T 50 r2 Finding E and calculating the Equilibrium Demand=Supply In Equilibrium 3 C 100 0.8(Y 50) 60 0.8Y I 100 25 2 50 G 50 E 160 0.8Y E Y 160 0.8Y Y Y 800 Denote : Y0 800 The Aggregate Expenditure – E - AD E0 (Y ; r 2) 160 0.8Y E0(Y,r0) E 160 0.8 450 800 4 Y The Effect of an Increase in the Interest Rate Data C 100 0.8(Y T ) I 100 25r G 50 T 50 r 3 Finding E and calculating the Equilibrium C 100 0.8(Y 50) 60 0.8Y I 100 25 3 25 G 50 E 135 0.8Y Demand=Supply E Y Y 675 In Equilibrium Denote : Y1 675 5 The Effect of an Increase in the Interest Rates E0(Y,r0=2) E E1(Y,r1=3) 180 135 675 6 800 Y IS Curve When r↑ →Y↓ E0(Y,r0) E E1(Y,r1) r0 2 r1 3 675 800 The IS curve: all the points of equilibrium of r and Y from the above graph (the market of goods and services). r 3 2 IS 675 800 7 Y Y Building IS Curve C 100 0.8(Y T ) I 100 25r G 50 T 50 r ? The Aggregate Expenditure is: E (100 0.8(Y 50)) (100 25r ) 50 210 0.8Y 25r Data: In Equilibrium 8 E Y 210 0.8Y 25r Y 210 25r 0.2Y 210 25 r Y 0.2 0.2 IS : Y 1050 125r Changes of the IS Curve and Changes on the IS Curve A change in interest rate will lead to a move along the curve. Changes in the components of E (AD) will lead to a move of the IS curve: Changes that increase E will lead to a shift upward of the IS curve: G , I , C Y T Changes that decreases E will lead to a shift downward of the IS curve: G , I , T C Y T Expanding Fiscal Policy r IS0 Contracting Fiscal Policy Y Other Changes that Shifts IS Changes in the Private Consumption When there is an improvement in the “mood” of consumers or Increased wealth, and consumption increases for any given interest rate, IS shifts to the right. Changes in the Investment When investors become optimistic (Animal Spirit) – investment will increase for any given interest rate. As a result the national product increases for a given interest rate. IS shifts right. 11 1/30/2024 11 Exercise in Aggregate Demand – Fiscal Policy 1/30/2024 1 Aggregate Demand in the closed economy = C+G+I Review 1/30/2024 C= C0 + mpc * (Y-T) I = I0 – a*r 2 Understanding Changes in Y driven by changes in AD Understanding the Multiplier C 100 0.8(Y T ) I 100 25r G 50 AD 100 0.8(Y 50) 50 100 25 * 2 T 50 r2 AD 160 0.8Y Y 160 0.8Y 0.2Y 160 Y 800 AD G 100 AD 260 0.8Y Y 260 0.8Y 0.2Y 260 Y 1300 G 100 Y 1300 800 500 1/30/2024 3 Round Understanding Changes in Y driven by changes in ADThe Multiplier Effect Change in AD Change in Y 1 ∆𝐺 ∆𝑌 = ∆𝐺 2 ∆𝐶2 =mpc*∆𝐺 ∆𝑌2 =mpc*∆𝐺 3 ∆𝐶3 =mpc2 ∗ ∆𝐺 ∆𝑌3 =mpc2 ∗ ∆𝐺 4 ∆𝐶4 =mpc3 ∗ ∆𝐺 ∆𝑌4 =mpc3 ∗ ∆𝐺 5 ∆𝐶5 =mpc4 ∗ ∆𝐺 ∆𝑌5 =mpc4 ∗ ∆𝐺 .. … … 7 𝑇𝑜𝑡𝑎𝑙 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝐴𝐷 = ∆𝐺 + σ𝑛𝑖=1 ∆𝐶𝑖 =100 ∗ (0.8 + 0.82+0.83 +0.84…) 𝑇𝑜𝑡𝑎𝑙 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑌 = ∗ (1 + mpc2+mpc3 +mpc4…) σ𝑛𝑖=1 ∆𝑌𝑖 =∆𝐺 1 1−𝑚𝑝𝑐 ∆𝑌 = (1 + MPC + MPC2+MPC3+…….)* ∆𝐺 = ∆𝐺* Notice that in equilibrium AD=Y so the sum of the changes G and C equals the sum of changes in Y. 1/30/2024 4 Understanding Changes in Y driven by changes in ADThe Multiplier EffectNumerical Example Round Change in AD Change in Y 1 100 ∆𝑌 = 100 2 ∆𝐶2 =0.8*100=80 ∆𝑌2 =0.8*100=80 3 ∆𝐶3 =0.82 ∗ 100 =64 ∆𝑌3 =0.82 ∗ 100 = 64 4 ∆𝐶4 =0.83 ∗ 100=51.2 ∆𝑌4 =0.83 ∗ 100=51.2 5 ∆𝐶5 =0.84 ∗ 100 = 40.96 ∆𝑌5 =0.84 ∗ 100=40.96 .. … … 7 𝑇𝑜𝑡𝑎𝑙 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝐴𝐷 = 100 + σ𝑛𝑖=1 ∆𝐶𝑖 =100 ∗ (0.8 + 0.82+0.83 +0.84…) 𝑇𝑜𝑡𝑎𝑙 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑌 = (1 + 0.8+0.82+0.83 +0.84…) σ𝑛𝑖=1 ∆𝑌𝑖 =100 ∗ 1 =500 1−0.8 ∆𝑌 = (1 + 0.8 + 0.82+0.83+…….)* 100 = 100* 1/30/2024 5 Summary of the Effect of Fiscal Policy Tools on the output A Change in Government Consumption Under Different Financing Assumptions: Increased Government spending, Financed by a Loan ∆𝐺 = ∆𝐵 → ∆𝐴𝐷 = ∆𝐺 → ∆𝑌 = 1 1−𝑚𝑝𝑐 ∗ ∆𝐺 Increased Government spending, Financed by Tax ∆𝐺 = ∆𝑇 → ∆𝐴𝐷 = ∆𝐺 − 𝑚𝑝𝑐 ∗ ∆𝑇 → ∆𝑌 = 1−𝑚𝑝𝑐 1−𝑚𝑝𝑐 ∗ ∆𝐺= ∆𝐺 A Change in Taxation ∆𝑇 → ∆𝐴𝐷 =−𝑚𝑝𝑐 ∗ ∆𝐺 → ∆𝑌 = 1/30/2024 −𝑚𝑝𝑐 1−𝑚𝑝𝑐 ∗ ∆𝑇 6 The Case of John F. Kennedy 1961 Reducing Taxes in 1964 (personal and corporate taxes) Result – Economic Boom – Year Growth in Real GDP 1963 1/30/2024 Unemployment 5.7% 1964 5.3 % 5.2% 1965 6.0 % 4.5% 7 The Case of George W. Bush 2000 Reducing Income Taxes – 2001, 2003 Result – Economic Boom – Year Growth in Real GDP 2003 2004 1/30/2024 Unemployment 6.3% 4.4% 5.4% 8 In 2009 – Obama offered a stimulus package that would cost the government $800 billion (5% of annual GDP) that consisted of: The Case of Barack Obama 1/30/2024 (1) Tax cuts (2) Transfer payments (3) increase in Government purchase of goods and services. Year Result – Growth in Real GDP Unemployment 2009 Economic Boom – -3% 9.3% 2010 3% 9.6% 2011 2% 8.9% 2012 3% 8.1% 9 Bonds Bond Face Value $1000 Coupon Rate 5% Time to Maturity 5 years 𝑃𝑣 = −1000 + 50 50 + 1+𝑟 1+𝑟 2+ 50 1+𝑟 3+ 50 1+𝑟 4+ 1000 + 50 1+𝑟 5 Bond Face Value $1000 Coupon Rate 5% What will be the price of the bond if r=0.05? 𝑃𝑣 = −1000 + Time to Maturity 5 years 50 50 + 1 + 0.05 1 + 0.05 2+ 50 1 + 0.05 3+ 50 1 + 0.05 4+ 1000 + 50 1 + 0.05 5 Bond Face Value $1000 Coupon Rate 5% What will be the price of the bond if r=0.08? 𝑃𝑣 = −1000 + Time to Maturity 5 years 50 50 + 1 + 0.08 1 + 0.08 2+ 50 1 + 0.08 3+ 50 1 + 0.08 4+ 1000 + 50 1 + 0.08 5 Bond Face Value $1000 Interest Rate 5% What will be the price of the bond if r=0.03? 𝑃𝑣 = −1000 + Time to Maturity 5 years 50 50 + 1 + 0.03 1 + 0.03 2+ 50 1 + 0.03 3+ 50 1 + 0.03 4+ 1000 + 50 1 + 0.03 5 Long Term Considerations The Macroeconomic Environment Incorporating Inflation into our model We now want to extend the analysis to incorporate inflation. The behavior of inflation stems from how firms respond to the demand for their goods and services. This behavior therefore goes under the heading of aggregate supply. Together, aggregate demand and aggregate supply determine not only output and inflation at a point in time, but how they change over time. The Behavior of Inflation Definitions Inflation rate: Pt Pt 1 t Pt Y full (also called natural rate of output) is the level of output that prevails when prices are completely flexible; it is the level of output that is produced when the unemployment rate is at its natural rate. Natural Rate of Unemployment The Behavior of Inflation Assumptions: At a point in time, the rate of inflation is given. Y>Yfull → inflation ↑. When output is above full employment, firms must run extra shifts and have difficulty finding and retaining workers. As a result, they raise their prices by more than before Y<Yfull → inflation ↓ When output is below full employment firms have idle capacity and little trouble finding new workers and retaining their current ones. As a result, they raise their prices by less than they were raising them before. Y=Yfull → inflation is constant. This behavior is consistent with the data US Data: During the boom of the 1960s, when unemployment fell below 4 percent, inflation rose from around 1 percent to over 4 percent. During the severe recession of 1981–1982, for example, when unemployment rose to almost 11 percent and output was far below its natural rate (Yfull), inflation fell from close to 10 percent to under 4 percent. Laurence Ball identified 65 episodes in 19 industrialized countries in which inflation fell substantially. He found that in a large majority of the episodes, output was below its natural rate. That is, periods of below-normal output are associated with falling inflation Two important considerations inflation at a point in time is given. If, for example, the government uses fiscal policy to increase aggregate demand, the immediate effect of the policy is to raise output with no change in inflation. Only later does the above-normal output cause inflation to rise (Long term). Second, our assumption concerns the behavior of inflation, not prices. Below-normal output does not cause most firms to actually reduce their prices. For example, inflation remained positive – that is, the price level continued to rise – during the 1981–1982 recession. Instead, below-normal output causes firms to raise their prices by less than before. Although inflation remained positive in the 1981– 1982 recession, it fell substantially from what it had been before the recession. Why Inflation is bad? It appears to lower investment of all kinds by creating uncertainty. It reduces confidence in future government policies. It divert some of the economy’s productive capacity into such activities as forecasting inflation and trying to offset its effects. It magnifies the microeconomic distortions created by the tax system. Adding a new diagram to our model We wish to graph inflation and output together. We assume that inflation does not change with output at a given point in time, only as a long term response. IA Y IA- inflation adjustment line. We will also call it the aggregate supply curve. Translating the Aggregate Demand to Inflation-Output Diagram MP1 r MP2 MP3 IS r1 r2 r3 1 Y1 Y2 Y3 Y AD 2 3 10 Y1 Y2 Y3 Y The AD-IA model At a given point in time, there is an equilibrium in which output and inflation are determined. IA AD Y * Y The AD-IA model Inflation adjustment process: Suppose Y*>Yf, . In the background, the increases in inflation are causing the central bank to raise the real interest rate for a given level of output, and these changes in monetary policy are causing output to fall. These shifts of the MP curve in response to changes in inflation in the IS-MP diagram correspond to movements along the AD curve in the AD-IA diagram LongTerm IA * IA Long term Shortterm AD Y full Y * Y Adjustment to the Long Run. Starting from Y>Yfull r IS r CF MPt+1 r1 r0 MPt YF Yt CF Y e P $ CF P AD t 1 t .. NIM IM-EX YF Yt 13 The AD-IA model Inflation adjustment process: Suppose Y*<Yf, in the background, the decreases in inflation are causing the central bank to reduce the real interest rate for a given level of output, and these changes in monetary policy are causing output to rise IA LongTerm * Shortterm IA Long term AD Y * Y full Y Adjustment to the Long Run. Starting from Y<Yfull r IS r MPt MPt+1 CF r0 r1 Yt AD t t 1 YF .. Y CF e P$ P NIM IM-EX 15 Yt YF Changes to the Aggregate Demand Side of the Economy: G↑ Assume that we start from Yfull. The G increases. What happens? MP1 MP0 r r3 r2 IS1 r1 IS0 ELR1 16 Y1 Y 1 0 Denote: ELR Long Term Equilibrium Yfull IA1 IA0 ELR0 AD0 AD1 Yfull Y1 Increase in G. Starting from Y=Yfull IS r MPt+1 IS r CF r1 r0 MPt YF Yt CF Y e P $ CF P t 1 t .. ELR1 ELR0 NIM AD0 AD1 YF Yt 17 IM-EX Changes to the Aggregate Demand Side of the Economy: G↑ starting from Y=Yf Summary of results Y ↑↓ at the end stays the same C ↑↓ at the end stays the same (assuming that G was not financed by T). r ↑→ I ↓, CF↑, And of course 18 Contracting Monetary Policy – Short Run and Long Effects r r IS CF MP1 r** r0 MP0 Y1 AD1 *** YF CF Y e P $ AD0 ESR1 CF P .. ELR1 IA0 NIM IA1 IM-EX Y1 YF 19 r r T ( e T ) ( YF Y ) YF Inflation Shocks Immediate one-time change in inflation in the current period. A negative inflation shock lifts IA immediately. A positive inflation shock lowers IA immediately. The shock is an event that causes producers to change the prices immediately in a different pace then before. Reasons: An oil prices shock like in the 1970s. New taxes on the business sector. Opening the market for foreign competition – cheap imports or expensive exports. Negative Inflation Shock – Short Run and Long Run Effects r r IS0 MP** CF r* r0 MP0 Y1 YF CF Y e P $ CF P * ** ESR1 .. NIM ELR1 AD0 IM-EX Y1 YF 21 Supply Shocks Supply Shock is a change in Yfull (or a change in the natural rate of unemployment). Why it happens: Immigration or change in the size of the labor force. Productivity shock – the same factor of production can produce more due to a change in technology. Supply Shocks – Short Run and Long Effects r r IS CF MP1 r0 r1 MP0 YF0 YF1 CF Y e P $ AD0 ESR1 * ** P . IA0 ELR1 IA1 IA1 23 CF e1 P1 P1 $ e0 P0 P0 NIM $ IM-EX YF0 YF1 r r T ( e T ) (YF Y ) YF The Macroeconomic Environment Presentation 8 Topic: The Solow Growth Model 1 18:41 30/01/2024 Year 1980 1990 2000 2010 0.01 10,000 11,046 12,202 13,478 0.02 10,000 12,190 14,859 18,114 Annual Growth Rate 0.03 0.04 10,000 10,000 13,439 14,802 18,061 21,911 24,273 32,434 0.07 10,000 19,672 38,697 76,123 0.08 10,000 21,589 46,610 100,627 Assume: in 1980 GDP per capita is $10,000. This is a simulation what happens over decades with different growth rates. 2 18:41 30/01/2024 Real GDP per person in 1870 4,000 3,500 3,000 Real GDP per person in 1870 2,500 2,000 1,500 1,000 500 0 Australia United Kingdom United States France Germany Canada Sweden Japan Figures are in U.S. dollars at 1990 prices, adjusted for differences in the purchasing power of the various national currencies. Source: Angus Maddison, 3 Forces in Capitalist Development A long run comparative view, New York: Oxford University Press. 1991, Table 1.1. 18:41 30/01/2024 Dynamic Data of 2005 is from BLS www.bls.gov.il rescaled to 1990 prices. All this is quoted at Abel Andrew B, Ben S. Bernanke and Dean Croushore, Macroeconomics, Pearson Education, 2008. GDP Per Capita Growth Country Japan Sweden Canada Germany France United States United Kingdom Australia 4 Real GDP per person in 1870 737 1,664 1,695 1,821 1,876 2,445 3,191 3,645 Annual Growth Rate (%) 2.5 1.9 2 1.8 1.8 1.9 1.4 1.4 18:41 30/01/2024 Real GDP Per person in 2005 35,000 Real GDP Per person in 2005 30,000 25,000 20,000 15,000 10,000 5,000 0 United States Canada Australia Sweden United Kingdom France Japan Germany Figures are in U.S. dollars at 1990 prices, adjusted for differences in the purchasing power of the various national currencies. Source: Angus Maddison, 5 Forces in Capitalist Development A long run comparative view, New York: Oxford University Press. 1991, Table 1.1. 18:41 30/01/2024 Dynamic Data of 2005 is from BLS www.bls.gov.il rescaled to 1990 prices. All this is quoted at Abel Andrew B, Ben S. Bernanke and Dean Croushore, Macroeconomics, Pearson Education, 2008. General Production Function • • • Each product is manufactured by inputs. We are looking for a way to produce the maximum product out of given amount of inputs. The Production Function: the relation between the amount of the inputs and outputs. Y F ( K , L) • • • 6 K-capital, L- labor Connection between technology and the production function. Technology changes alter the production function. The Macroeconomic Environment, Dr. Yael Hadass, IDC 2015 18:41 30/01/2024 The Cobb Douglas Production Y A K L1 α is the share of income that the capital owners receive. 0 < 𝛼 < 1. If you want to read more about this function is it in Mankiw’s textbook 8th edition p.56-59. K= capital, L=Labor, Y=GDP We can write the production function in values per worker. Denote: Y K y L ,k y Ak L Y A K L1 1 Y K L A L L L 7 Y K A L L The Macroeconomic Environment, Dr. Yael Hadass, IDC 2015 18:41 30/01/2024 Explanation to those who want to know why we can divide the Cobb Douglas Production Function by L • Many production functions have the property of constant returns to scale (CRS). • An increase of an equal percentage in all factors of production causes an increase in output of the same percentage. zY F ( zK , zL ) 8 • For any positive number z. • The Cobb Douglas function displays Constant Returns to scale hence it allows us to divide the two inputs and the outputs by L. The Cobb Douglas Production in graph form Output Per Worker Capital per Worker 9 The Macroeconomic Environment, Dr. Yael Hadass, IDC 2015 18:41 30/01/2024 Solow Model All the variables are per worker Output per worker $ Output per worker, f(k) y Ak y1 y0 Capital per worker k 10 k0 k1 The connection between output and savings y ci c (1 - s)y y - sy y c sy sy i y f(k) i sf(k) 11 18:41 30/01/2024 Solow Model all the values below are per person Output per worker $, Investment per worker $ Output per worker, f(k) y1 y0 c Investment per worker, sf(k) y i Capital per worker k 12 k0 18:41 30/01/2024 k1 Solow Model Steady State Level of Capital Output per worker,$ Investment per worker $ The value of depreciation $ k i * k sf (k ) k Depreciation, δk δ(k2) sf(k2) sf(k1) δ(k1) k 0 worker, sf(k) k 0 Decrease in k Increase in k 13 Investment per k1 18:41 30/01/2024 k* k2 Capital per worker k Finding the Steady State k i k k sf (k ) k Denote k * as the k in which k 0. k 0 sf (k * ) k * The condition in which k 0 : * 14 k s * f (k ) 1515 18:41 30/01/2024 Equilibrium in the Solow Model Output per worker,$ Investment per worker $ The value of capital per worker’s depreciation $ f(k) y1 y* *k y0 s*f(k)< *k s*f(k) s*f(k)> *k k0 1616 k* k1 Capital per worker k 18:41 30/01/2024 The Effect of a Decrease in the Depreciation Rate Output per worker,$ Investment per worker $ Break even investment, $ y2 f(k) 1*k y1 1> 2→y2>y1 2*k s*f(k) k1 k2 Capital per person k 1717 18:41 30/01/2024 The Influence of Technological Improvement Economic Growth=The growth of output per worker f2(k) Output per worker,$ Investment per worker $ Break even investment, $ y2 f1(k) f0(k) y1 y0 *k s*f(k) k0 1818 k1 k2 Capital per worker k 18:41 30/01/2024 Solow Model With Population Growth η is population growth η =0.02 → the population grows at a rate of 2% per year k i k * k k i ( ) * k 19 k sf (k ) ( ) * k The Steady State with Population Growth k 0 sf (k ) ( ) * k k s f (k ) ( ) Solow Model Steady State Level of Capital Population Growth is η>0 Output per worker,$ Investment per worker $ Break Even Investment, $ (δ+η)k Investment per worker, sf(k) Capital per worker k 20 20 k1 k* k2 18:41 30/01/2024 The Macroeconomic Environment, Dr. Yael HadassIDC 2013 Equilibrium in the Solow Model Output per worker,$With Population Growth Investment per worker $ Break even investment, $ f(k) y1 y* (+η)*k y0 s*f(k)< (+η)* k s*f(k)> (+η)* k k0 2121 s*f(k) k* kCapital per worker k 1 18:41 30/01/2024 The Effects of Changes in the Savings Rate Output per worker,$ Investment per worker $ The value of capital per worker’s depreciation $ f(k) y*2 y*1 s2 > s1 y1 < y2 (+)*k s2*f(k) s1*f(k) k*1 2222 k*2 Capital per worker k 18:41 30/01/2024 23 18:41 30/01/2024 The Influence of Technological Improvement Economic Growth=The growth of output per worker f2(k) Output per worker,$ Investment per worker $ Break even investment, $ y2 y1 f1(k) f0(k) y0 (+)*k s*f(k) k0 2424 k1 k2 Capital per worker k 18:41 30/01/2024 The Effect of a Decrease in the Depreciation Rate Output per worker,$ Investment per worker $ Break even investment, $ y2 f(k) (1 +)*k y1 1> 2→y2>y1 (2+ )*k s*f(k) k1 k2 Capital per person k 2525 18:41 30/01/2024