Kevin D. Hoover, Applied Intermediate Macroeconomics. Cambridge University Press, 2011

  

Table of Contents

Click on links for expanded Table of Contents

Acknowledgments

To the Teacher

To the Student

Part I.  Introduction

  1 Macroeconomics and the Real World

Part II.  The National Accounts

  2 The National Accounts and the Structure of the Economy

  3 Understanding Gross Domestic Product

  4 Measuring Prices and Inflation

Part III.  Trends and Cycles

  5 Trends and Cycles

Part IV.  Financial Markets

  6 The Financial System

  7 The Behavior of Interest Rates

  8 The International Financial System and the Balance of Payments

Part V.  Aggregate Supply

  9 Aggregate Production

10 Economic Growth

11 The Ideal Labor Market

12 Unemployment and the Labor Market Process

Part VI.  Aggregate Demand

13 An Introduction to Aggregate Demand

14 Consumption and Investment:  A Deeper Look

Part VII.  Macroeconomic Dynamics

15 The Dynamics of Output, Unemployment, and Inflation

Part VIII.  Macroeconomic Policy

16 Monetary Policy

17 Fiscal Policy

Part IX.  Macroeconomic Data

A Guide to Working with Economic Data

 

List of Symbols

Glossary

Guide to Online Resources

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Table of Contents

Acknowledgments

To the Teacher

To the Student

Part I.  Introduction

1 Macroeconomics and the Real World

1.1 The Problems of Macroeconomics

1.2 What is Macroeconomics?

1.2.1 Macroeconomics Defined

1.2.2 The Origins of Macroeconomics

1.2.3 Positive vs. Normative Macroeconomics

1.3. Doing Macroeconomics

1.3.1 Macroeconomics as a Science

1.3.2 Models and Maps

Models as Maps

Mathematical Models

The Uses of Models

The Scope of Models

Graphical or Diagrammatic Models

1.4. Where Do We Go From Here?

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Part II.  The National Accounts

2 The National Accounts and the Structure of the Economy

2.1 How Big is the Economy?

2.2 GDP and the Economic Process

2.2.1 Stocks and Flows

2.2.2 The Circular Flow

The Domestic Private Sector

Investment Savings, Capital, and Time

The Government Sector

The Foreign Sector

A Bird’s-eye View of the Economy

2.3 The National Accounting Identities

2.3.1 The Production-Expenditure Identity

2.3.2 The Disposable-Income Identity

2.3.3 The Sectoral-Deficits Identity

Box 2.1.  The Twin-Deficits Problem and the Sectoral-Deficits Identity

2.3.4 The Inflow-Outflow Identity

2.4  Real Gross Domestic Product

2.4.1 Real and Nominal Quantities

2.4.2. Converting Nominal to Real GDP

2.4.3 International GDP Comparisons

2.4.4 Population and Real per Capita GDP

2.5 GDP through Time

2.5.1 Visualizing Growth 1:  Growth Rates

2.5.2 Visualizing Growth 2:  Logarithmic Graphs


2.6 Measuring Inflation

2.6.1 Inflation and Deflation

2.6.2 Measuring Inflation Using the GDP Deflator

2.7 Economic Behavior and the National Accounts: 
Aggregate Demand and Supply – A Prelude to Later Chapters

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3 Understanding Gross Domestic Product

3.1 What is a Final Product?

3.1.1 Quid Quo Pro

3.1.2 Final and Intermediate Products

3.1.3 Existing Goods

3.2 Product and Income

3.3 Domestic versus National Product

3.4 Depreciation and Net Product

3.5 Limits, Judgments, and Puzzles

3.5.1 Investment or Consumption?

3.5.2 Nonmarket Production

Home Production

The Third-Party Test

Owner-occupied Housing

Government Services

3.5.3 The Black Economy

3.5.4 Bads and Regrettables

3.5.5 GDP and Welfare

3.6 Measuring GDP

3.6.1 Sources and Methods

3.6.2 Revisions

3.6.3 Annualization and Seasonal Adjustment

3.7 Putting It All Together:  Reading the NIPAs

3.7.1 The National Income and Product Account

3.7.2 The Personal Income and Outlay Account

3.7.3 Three Sectors, Three Deficits

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4 Measuring Prices and Inflation

4.1 Constructing Price Indices

4.1.1 The Laspeyres (or base-weighted) Index

4.1.2 The Paasche (or Current-weighted) Index

4.1.3 The Fisher-ideal Index

4.1.4 The Chain-weighted Index

4.1.5 Price Indices and Real GDP

4.1.6 The Implicit Price Deflator

4.2 Alternative Price Indices

4.2.1 The Consumer Price Index (CPI)

4.2.2 The Personal Consumption Expenditure Deflator

4.2.3 The Producer Price Index (PPI)

4.3 Core Inflation

4.3.1 The Core Rate of Inflation

4.3.2 The Weighted-Median CPI

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Part III.  Trends and Cycles

5 Trends and Cycles

5.1 Decomposing Time Series

5.2 The Business Cycle

5.2.1 The Language of Business Cycles

5.2.2 Dating the Business Cycle

5.2.3 The Typical Business Cycle

5.3 The Business Cycle and the Economy

5.3.1 What Causes the Business Cycle?

5.3.2 The Classification of Economic Indicators

5.3.3 Is the Business Cycle Predictable?

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Part IV.  Financial Markets

6 The Financial System

6.1 The Financial System and the Real Economy

6.1.1 The Role of Money and Finance

Real Flows and Financial Flows

The Monetary Economy

Financial Instruments and Financial Intermediaries

The Flow of Funds

6.1.2 The Flow of Funds Accounts

Real and Financial Wealth

Accounting and Balance Sheets

Flow Accounts

The Assets-and-Liabilities Accounts

6.2 Principles of Valuation

6.2.1 Present Value

The Principle of Similarity and Replacement

Two Key Concepts:  Opportunity Cost and Present Value

Four Properties of Present Value

6.2.2 Real and Nominal Value

A Useful Approximation

The Ex Ante Versus the Ex Post Real Rate

Box 6.1.  Measuring Expected Inflation

6.3 The Main Financial Instruments

6.3.1 Debt

What are Bonds?

The Mechanics of Bond Pricing

Types of Bonds

Prices and Yields

6.3.2 Money

6.3.3 Equity

What are Stocks?

The Mechanics of Stock Pricing

Stock Prices and Yields

Stock Market Indexes

6.4 Financial Markets and Aggregate Demand

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7 The Behavior of Interest Rates

7.1 Five Questions About Interest Rates

7.2 The Market for Financial Assets

7.2.1 Substitution and Arbitrage

Similarity and Replacement Again

Supply and Demand

Reaching Equilibrium in a Financial Market

Arbitrage

7.2.2 Efficient Markets

Inside and Outside Views of Financial Markets

The Efficient Markets Hypothesis

Challenges to the Efficient Markets Hypothesis

Two Answers

7.3 Risk

7.3.1 Default Risk

Risk and Return

Federal Government Bonds

Rating Risk

Default Risk and Interest Rates

7.3.2 Price or Interest-Rate Risk

7.4 The Term Structure of Interest Rates

7.4.1 The Relationship of Interest Rates of  Different Maturities.

7.4.2 The Expectations Theory of the Term Structure

Arbitrage Across Different Maturities

Expectations and the Shape of the Yield Curve

Alternative Portfolio Strategies

Implicit Expectations

7.4.3 The Role of Risk

7.5 Inflation and Interest Rates

7.5.1 The Effect of Inflation on the Supply and Demand for Bonds

7.5.2 The Fisher Effect and the Fisher Hypothesis

Box 7.1.  Measuring Expected Inflation

7.6 The Level of Real Interest Rates

7.6.1 Monetary Policy and Short Rates

7.6.2 Arbitrage to Real Returns

7.7 The Five Questions About Interest Rates Revisited

Appendix:  The LM Curve

7.A.1 Money Supply and Money Demand

The Real Supply of Money

Transactions Demand for Money

Money Demand and Interest Rates

The Money Demand and Supply Curves

7.A.2 The LM Curve

Deriving the LM Curve

What Shifts the LM Curve?

What Use is the LM Curve?

7.A.3 The Limitations of the LM Model

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8 The International Financial System and the Balance of Payments

8.1 The Global Economy

8.2 Balance of Payments Basics

8.2.1 The Current Account

8.2.2 The Capital Account

8.2.3 The Balance of Payments Identities

8.3 Exchange Rate Basics

8.3.1 Exchange Rates as the Relative Price of Money

The Price of One Currency in Terms of Another

Appreciation and Depreciation

8.3.2 The Real Exchange Rate

The Real Price of a Foreign Good

Purchasing Power and Price Indices

8.3.3 Effective Exchange Rates

8.4 The Foreign Exchange and Financial Markets

8.4.1 The Foreign-Exchange Market

Foreign Exchange and Real Trade

Foreign Exchange and Financial Trade

Direct and Indirect Exchange

8.4.2 Exchange Rates and Relative Prices

The Law of One Price

Purchasing-Power Parity

The Mutual Adjustment of Prices and Exchange Rates

How Well Does Purchasing-Power Parity Work in Practice?

8.4.3 Exchange Rates and Interest Rates

The Exchange Rate, Capital Flows, and Interest Parity

Uncovered Interest Parity

Exchange-Rate Risk

Interest-rate Differentials and Short-run Deviations from Purchasing-power Parity

Interest Parity in Practice

The Limits of Short-run Exchange Rate Models

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Part V.  Aggregate Supply

9 Aggregate Production

9.1 The Production Decisions of Firms

9.1.1 Production Possibilities

Technology

The Production Function

Measurement Issues

Basic Properties of the Production Function

Returns to Scale

9.1.2 Optimal Production

Profit Maximization

Choosing Input Levels

9.2 Aggregate Supply

9.2.1 The Aggregate Production Function

9.2.2 The Cobb-Douglas Production Function

9.2.3 Does the Cobb-Douglas Production Function Provide a Good Model of Aggregate Supply?

The Cobb-Douglas Production Function Predicts Constant Factor Shares

Are Factor Shares Constant?

9.2.4 A Cobb-Douglas Production Function for the United States


9.3 Productivity

9.3.1 Alternative Measures of Productivity

Three Measures

International Comparisons

How are the Productivity Measures Related?

9.3.2 Technological Progress

Factor Productivity Over Time

Factor-augmenting Technological Progress

9.4 Short-run and Long-run Aggregate Supply

9.4.1 Flexible and Inflexible Production Functions

9.4.2 Productivity and Resource Use in the Short run

9.4.3 Measures of Resource Use

Labor Utilization

Capital Utilization

9.5 Potential Output

9.5.1 The Concept of Economic Potential

9.5.2 Scaled Output

9.6 Aggregate Supply:  Questions Answered, Questions Raised

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10 Economic Growth

10.1 Why Growth is Important

10.2 Accounting for Growth

10.2.1 Production at a Point in Time and Production over Time

10.2.2 Decomposing Economic Growth

10.2.3 Accounting for Growth Rates

10.3 The Sources of Economic Growth

10.3.1 Productivity and Technological Progress

Product Innovation

Process Innovation

Research and Development

10.3.2 The Growth of Labor

The Law of Motion of Labor

Malthusianism

Economic Development and the Stabilization of Population

10.3.3 The Growth of Capital

10.4 The Neoclassical Growth Model

10.4.1 The Process of Growth

Balanced Growth without Technological Progress

Balanced Growth with Technological Progress

Unbalanced Growth

Box 10.1  Relative Prices in the Growth Process

Convergence to Balanced Growth

The Speed Limit

10.4.2 The Solow-Swan Growth Model

A Model with Labor-augmenting Technological Progress

Balanced Growth and Convergence

Is the United States on a Balanced Growth Path?

How Does the Steady-State Shift?

10.5 What Accounts for Differences in the Growth of Nations?

10.5.1 Catching Up

The Importance of Technology

The Speed of Convergence

Do Countries Converge?

10.5.2 Which Factors Promote Growth?

10.5.3 Endogenous Growth

10.6 Economic Growth:  Achievements and Prospects

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11 The Ideal Labor Market

11.1 Labor Demand

11.1.1 The Firm’s Demand for Labor

Deriving the Firm’s Labor-Demand Curve

Factors that Shift the Labor-demand Curve

11.1.2 The Aggregate Demand for Labor

11.2 Labor Supply

11.2.1 The Worker:  Choosing Hours of Work

The Price of Leisure

The Labor-Leisure Choice

The Labor-supply Curve

Adding Realism:  Taxes

Adding Realism:  A Standard Workweek

The Individual Labor-Supply Curve in Practice

11.2.2 The Worker:  Choosing to Participate

11.2.3 Aggregate Labor Supply

The Aggregate Labor-Supply Curve

The Participation Rate and Average Hours

Is Labor Supply Stable Over Time?

11.3 Labor Market Equilibrium

11.3.1 Market Clearing

11.3.2 Analyzing Ideal Labor Markets

Issue 1.  Tax Cuts

Issue 2.  Technological Progress and Worker Welfare

Issue 3.  Immigration, Jobs, and Real Wages

11.3.3 The Labor Market in Practice

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12 Unemployment and the Labor Market Process

12.1 The Concepts of Employment and Unemployment

12.2 Measuring the Labor Market in Theory and Practice

12.2.1 Labor Market Data

12.2.2 The Unemployment Rate

  (i) Mismatched Definitions 

 (ii) Transitional Unemployment 

(iii) A Real-Wage Floor 

Frictional Unemployment 

12.2.3 Other Dimensions of Unemployment

Part-time Employment

Overtime Employment

Loosely Attached Workers

Underemployment

International Comparisons of Underutilization of Labor

12.3 The Labor-Market Process

12.3.1  Why Do Wages Not Fall?

The Unemployment Puzzle

Cutting Wages or Raising Prices

Efficiency Wages

Unions

Government Actions

12.3.2  The Labor-Supply Process

Job Search

Employment Status and Job Flows

The Duration of Unemployment

12.3.3.  The Labor-Demand Process

Job Creation and Destruction

Technological Progress and the Reallocation of Labor

Employment Policy

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Part VI.  Aggregate Demand

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13 An Introduction to Aggregate Demand

13.1 A Simple Model of Aggregate Demand

13.1.1 Consumption Behavior

The Consumption Function

The Shape of the Consumption Function

The Savings Function

13.1.2 Tax Behavior

Net Taxes

The Tax Function

The Shape of the Tax Function

13.1.3 What Determines the Level of Aggregate Demand?

The Model

Equilibrium and Convergence to Equilibrium

The Effect of Changes in Autonomous Expenditure on Aggregate Demand

13.1.4 The Multiplier

The Static Multiplier

A Numerical Example

The Size of the Multiplier

The Multiplier Process

13.2 Fiscal Policy

13.2.1 Discretionary Fiscal Policy

Choosing the Level of Government Spending

Setting Tax Rates

Targeting the Level of Taxes

The Balanced-Budget Multiplier

13.2.2 Automatic Stabilizers

13.3 Investment and Aggregate Demand

13.3.1 What Determines the Level of Investment?

The Opportunity Cost of Investment

Investment and Risk

Investment and Finance (and Other Factors)

13.3.2  The Investment Function in Practice

13.3.3  The IS Curve

Deriving the IS Curve

An Increase in Autonomous Spending Shifts the IS Curve to the Right

A Increase in the Rate of Return on Investment Shifts the IS Curve to the Right

An Increase in Marginal Tax Rates Pivots the IS Curve Downward

The IS Curve and the Multipliers

Numerical Examples

13.4 Aggregate Demand and the Current Account

13.4.1 Some Pitfalls

13.4.2 The Behavior of Imports and Exports

13.5 The Limits to Aggregate Demand Management

13.5.1 The Paradox of Thrift

13.5.2 Resource Constraints

Appendix:  The IS-LM Model

13.A.1 The LM Curve and Expected Inflation

13.A.2 Working with the IS-LM Model

An Increase in Government Expenditure

An Increase in the Money Supply

An Increase in the Rate of Inflation

13.A.3 The IS-LM Model at Full Employment

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14 Consumption and Investment:  A Deeper Look

PART A.  CONSUMPTION

14.1 Simple Consumption Functions and the Real World

14.2 The Permanent-Income/Life-Cycle Hypothesis

14.2.1 Consumption Smoothing

14.2.2 Consumption, Income, and Wealth

14.2.3 The Aggregate Permanent-Income Hypothesis

From Individual to the Economy as a Whole

How the Permanent-Income Hypothesis Explains the Data

14.2.4 The Permanent-Income Hypothesis and Fiscal Policy

Box 14.1  Testing the Permanent-Income Hypothesis:  A Natural Experiment

14.3 Borrowing Constraints, Rules of Thumb, and Consumption

 

PART B.  INVESTMENT

14.4 An Asset-based View of Capital and Investment

14.4.1 Evaluating an Investment Project

The Present Value of an Investment Project

Internal Rate of Return

Investment and Risk

14.4.2 The Rate of Investment

14.4.3 Investment and the Stock Market

14.5 Aggregate Investment

14.5.1 Factors Governing Aggregate Investment

1. Opportunity Cost

2. Expected Future Profits

3. Risk 

4. The Relative Price of Capital Goods 

5. The Level of the Capital Stock. 

14.5.2 The Accelerator

14.5.3 Investment and Fiscal Policy

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Part VII.  Macroeconomic Dynamics

15 The Dynamics of Output, Unemployment, and Inflation

15.1 The Interaction of Aggregate Supply and Aggregate Demand

15.1.1 Supply Fluctuations

Adjustments to Supply Factors when Wages are Flexible

Adjustments to Supply Factors when Wages are Inflexible

Technological Progress and Capital Obsolescence

Cost-push Inflation

15.1.2 Demand Fluctuations

When Aggregate Demand Falls Short of Aggregate Supply

When Aggregate Demand Exceeds Aggregate Supply

Distinguishing the Types of Inflation


15.2 Unemployment and Output Fluctuations

15.2.1 What Changes the Unemployment Rate?

15.2.2 The Modified Balanced Growth Path

15.2.3 Okun’s Law

15.2.4 The Dynamics of Resource Utilization

15.3 Inflation and Unemployment

15.3.1 Pricing Behavior

15.3.2 The Phillips Curve

15.3.3 The Natural Rate of Unemployment and NAIRU

The Concept of the Natural Rate

An Estimate of the Natural Rate of Unemployment

NAIRU and the Formation of Expectations

An Estimate of NAIRU

The Phillips Curve and Resource Utilization

NAIRU and Full Employment

15.3.4 Inflation and Supply Factors

Wage Inflation and Labor Productivity

Supply Shocks

15.3.5 Stagflation and Credibility

15.4 Another Look at the Limits of Demand Management

15.5 Aggregate Supply and Demand:  Putting It Together

15.5.1 A Steady State

15.5.2 Shifts in Aggregate Demand

15.5.3 Shifts in Aggregate Supply

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Part VIII.  Macroeconomic Policy

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16 Monetary Policy

16.1 Monetary and Fiscal Policy

16.1.1 The Government Budget Constraint

16.1.2 Monetary Policy and the Real Economy

16.2 The Federal Reserve and the Banking System

16.2.1 The Central Bank

Some History

The Structure of the Federal Reserve System

16.2.2 Bank Balance Sheets

The Fed’s Balance Sheet

Commercial Bank Balance Sheets

16.2.3 The Mechanics of Monetary Policy

The Classic Federal Funds Market

Open-market Operations

Open-mouth Operations

Interest-bearing Reserves

Discount Window Policy

Reserve Requirements


16.3 The Opportunity-Cost or Interest-rate Channel of Monetary Policy

16.3.1 Using Short Rates to Control Long Rates

Scenario 1:  A Credible Permanent Change in the Fed Funds Rate

Scenario 2:  The Public Believes the Change in the Fed Funds Rate is Temporary

Credibility

16.3.2 Long Rates, Real Rates, Output, and Inflation

A Stable Inflation Rate

A Cumulative Process

The Effective State of Monetary Policy Depends on the State of the Economy

16.4 The Credit Channel

16.4.1 The Narrow Credit Channel

16.4.2 The Broad Credit Channel

Box 16.1.  The Monetary Policy Response to the Financial Crisis of 2008

16.4.3 The Operation of the Credit Channel

16.5 The Conduct and Limits of Monetary Policy

16.5.1 The Goals of Monetary Policy

Inflation and Employment

Hot or Cold Monetary Policy

Balancing the Risks

16.5.2 Rules versus Discretion

  (i) Ignorance

 (ii) Policy Lags

 (iii) A Stable Economic Environment

 (iv) Time Consistency

16.5.3 How the Federal Reserve Behaves

Discretion or Rules?

The Taylor Rule

Box 16.2.  Concepts of Potential Output

Does the Fed Follow a Taylor Rule?

The Limits of the Taylor Rule

16.6 Monetary Policy and International Finance

16.6.1 Controlling the Exchange Rate

Direct Intervention

Foreign-exchange and Monetary Policy

16.6.2 Exchange-rate Regimes

Fixed versus Floating Exchange Rates

Varities of Exchange-rate Management

Fixed versus Floating:  Advantages and Disadvantages

Currency Areas

Appendix to Chapter 16:  The Monetarist Experiment of the 1980s:   An Application of IS/LM Analysis

16.A.1 The Situation in 1979

The Problem and Paul Volcker

Monetarism and the Fed

16.A.2 Implementation

An IS/LM Analysis

Reserve Targeting

16.A.3 Post-Mortem

Expectations and Outcomes

What Went Wrong?

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17 Fiscal Policy

17.1 Countercyclical Fiscal Policy

17.1.1 Fiscal Responses to Aggregate Demand and Supply Shocks

Active and Passive Fiscal Policy

Aggregate-Demand Shocks

Aggregate-Supply Shocks

Mixed Shocks

The Cost of Misperception

17.1.2 The Limits of Countercyclical Fiscal Policy

The Lag in Fiscal Policy

Permanent versus Temporary Policies

State and Local Budgets

17.2 Fiscal Policy in the Long Run

17.2.1 Monetary Policy as Fiscal Policy

Seigniorage

Risks of Hyperinflation

17.2.2 Deficits and the Debt Through Time

17.2.3 Crowding Out

Functional Finance

Zero-sum Crowding Out

Crowding Out or Crowding In?

Displacement of Private Expenditure

Deficits and Interest Rates

17.2.4 Wealth Effects

Are Government Bonds Net Worth?

The Limits of Ricardian Equivalence

17.2.5 Taxes and Incentives

Average and Marginal Tax Rates

Supply-side Economics

Costs of Complexity

17.3 The Burden of the Debt

17.3.1 Debt and Growth

Debt and Income

Outgrowing Debt

Inflation and the Debt

17.3.2 Capital and Consumption Spending

17.3.3 Domestic and Foreign Debt

17.4 Summing Up:  Functional Finance Again

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Part IX.  Macroeconomic Data

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A Guide to Working with Economic Data

G.1 Economic Data

G.1.1 Variables

G.1.2 The Dimensions of Data

Keeping Track of Units

Stocks and Flows

Annualization and Aggregation

Percentages and Percentage Points

G.1.3 Seasonal Adjustment


G.2 Graphs

G.2.1 Cross-sectional Graphs

Univariate Cross-sectional Graphs

Multivariate Cross-sectional Graphs

G.2.2 Time-series Graphs

Time-series Plots

Time-series Scatterplots

G.2.3 Guide to Good Graphics

A Good Graph is Informationally Rich

A Good Graph is Clear and Self-contained

A Good Graph is Aesthetically Pleasing

The Golden Rule of Graphics

G.3 A Guide to Good Tables

G.4 Descriptive Statistics

G.4.1 Histograms and Frequency Distributions

G.4.2 Measures of Central Tendency

The (Arithmetic) Mean

The Weighted Mean

The Median

The Geometric Mean

G.4.3 Measures of Variation

Variance

Standard Deviation

Coefficient of Variation

G.5 Making Inferences from Descriptive Statistics

G.5.1 Homogeneity

G.5.2 Stationarity

G.6 The Normal Distribution

G.7 Type I and Type II Error

G.8 Using Index Numbers

G.8.1 Index Numbers

G.8.2 Price Indices

Laspeyres (or Base-weighted) Index

Paasche (or Current-weighted) Index

The Fisher-ideal Index

G.9 Real and Nominal Magnitudes

G.9.1 Conversions between Real and Nominal Magnitudes

Converting Nominal Data to Real

Converting Real Data to Nominal

Converting Real Data of One Reference Period to that of Another Period

G.9.2 Real Values Using Chain-weighted Indices

G.10 Growth Rates

G.10.1 The Essentials of Growth Rates

Simple Growth Rates

Compound Annualization

Annual Growth Rates

Average Growth Rates

G.10.2 When Should Growth Rates Be Compounded?

G.10.3 Extrapolation

G.10.4 The Algebra of Growth Rates

G.11 Logarithms

G.11.1 What are Logarithms?

The Concept of the Logarithm

The Anti-logarithm

The Natural Logarithm

G.11.2 Calculating with Logarithms

G.11.3 Logarithms and Growth

Logarithmic Derivatives and Percentage Changes

Logarithms and Growth Rates

Continuous Compounding

Further Examples

The Rule of 72

G.11.4 Logarithmic Graphs

G.12 Detrending

G.12.1 Constant Trends

Using Constant Trends

Linear Trends

Exponential and Other Constant Trends

G.12.2 Moving-Average Trends

The Moving-Average Trend

Calculating Moving-average Trends

Dealing with the Endpoint Problem

G.12.3 Differences or Growth Rates

G.13 Correlation and Causation

G.13.1 The Nature of Correlation

G.13.2 Covariance

G.13.3 The Correlation Coefficient

G.13.4 Two Important Properties of Correlations

Correlation is Symmetrical

Correlation is not Transistive

G.13.5 Causation versus Correlation

The Nature of Causation

Properties of Causation

G.13.6 Causal Structure

Mutual and Cyclical Cause

Direct and Indirect Causes

Common Causes

G.13.7 Causal Inference

Time Order

Economic Theory and Common Sense

G.14 Relationships Between Stationary and Nonstationary Time Series

G.14.1 Nonsense Correlations

G.14.2 Genuine Relationships Between Nonstationary Time Series

Short-run Relationships

Long-run Relationships

G.14.3 Do Not Mix Stationary and Nonstationary Time Series

G.15 Regression

G.15.1 Linear Regression

The Regression Line

Goodness of Fit

G.15.2 Nonlinear Regression

G.15.3 The Direction of Regression

G.15.4 Nonsense Regression

G.16 The Cobb-Douglas Production Function

G.16.1 The Properties of the Cobb-Douglas Production Function:  An Example.

G.16.2 The Mathematics of the Cobb-Douglas Production Function

No Free Lunch

More Inputs, More Output

Diminishing Returns to Factors of Production

Increasing Returns to Scale

G.16.3 Estimating Labor’s Share (a) of Output from Data

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List of Symbols

Glossary

Guide to Online Resources