Module 4 Long-Run Economic Growth

Main Macroeconomic Variables: Long-Run Economic Growth

Announcements and Resources

  • See announcements in Canvas.

  • Check due dates in syllabus.

  • The textbook chapter provides additional details.

  • Email the assistant with questions; refer to the syllabus for contact information.

Learning Objectives

  • Define and determine long-run economic growth.

  • Examine the benefits and costs of long-run economic growth and relate it to potential GDP.

  • Determine growth rates and explain the importance of economic growth.

  • Differentiate among the keys to long-run economic growth.

  • Analyze and illustrate how the per-worker production function applies to economic growth.

  • Identify the three stages of economic development and the keys that contribute to their growth.

What is Long-Run Economic Growth?

  • Definition of Economic Growth:

    • Economic growth is identified as the percentage change in real GDP per capita (y).

    • Formula:

    • y2 = y1 imes (1 + rac{g}{100})

    • Growth Rate (g):

    • g = rac{y2 - y1}{y_1} imes 100

    • It signifies that rising productivity leads to an increased average standard of living.

Importance of Long-Run Economic Growth

  • Growth: Rule of 70:

    • This rule provides an estimate of how long it takes for a variable to double:

    • Years to Double = rac{70}{ ext{Growth Rate}}

    • Example rates and corresponding doubling times:

    • 1948-2007: 2.2% (31.8 years)

    • 2008-2025: 1.3% (53.8 years)

  • Example Consideration: If a nation doubles its GDP per capita in 46 years, what is its annual growth rate?

Nominal vs Real GDP

  • US Growth Rates (Q2 2025):

    • Nominal GDP Growth Rate: 4.6%

    • Real GDP Growth Rate: 2.1%

    • Difference Explained: Nominal growth accounts for inflation, while real growth excludes it.

Global GDP Overview

  • Real PPP GDP in 2021 USD (latest) with Real GDP per Capita:

    • China: PPP $24.86

    • United States: $21.13

    • India: $9.28

    • Various other countries compared, demonstrating significant disparities in GDP per capita.

Economic Growth Rates

  • Significance of Growth Rates:

    • Small differences in growth rates can have substantial cumulative impacts over time.

    • New Real GDP Formula:

    • ext{New Real GDP} = ( ext{Old Real GDP}) imes (1 + ext{growth rate})^N

Example of Impactful Growth Rates:

  • $50K over 20 years:

    • 2% growth results in $74K

    • 3% growth results in $90K

    • 4% growth results in $110K

Comparative Examples of GDP per Capita:

  • Nation A vs. Nation B:

    • Nation A has real GDP per capita of $63,427

    • Nation B has real GDP per capita of $46,858

    • Calculate the percentage difference in GDP per capita between the two nations.

Keys to Long-Run Economic Growth (Productivity, Labor, Education)

  • Main Components:

    • Productivity: Critical for long-term growth.

    • Labor: Changes in the labor force.

    • Formula for available labor:

      • L{t+1} = Lt + ext{Labor Inflows}t - ext{Labor Outflows}t

    • Education (Human Capital):

    • Productive knowledge and skills gained through education and training enhance labor force productivity.

    • Policies that improve human capital correlate with economic growth.

Additional Resources for Economic Growth

  • Physical Capital, Land, Natural Resources:

    • Formula for physical capital changes:

    • K{t+1} = Kt + ext{Investment}t - ext{Depreciation}t

Total Factor Productivity

  • Defined as productivity that affects all resources.

  • Labor Productivity: Total real domestic output (real GDP) divided by number of workers.

  • Competition: Enhances productivity by allowing less efficient firms to fail; protectionism hinders this process.

Technological Enhancements of Productivity

  • Technology is Important: It improves productivity through better resource management and innovation.

  • Example: Advanced operating systems enable workers and capital to generate more output.

  • Different mechanisms promote innovations, such as patents and subsidies.

The Per-Worker Production Function

  • Economic Growth Model:

    • Y = Real GDP

    • A = Productivity and Technology

    • K = Capital

    • L = Labor

    • H = Human Capital

    • N = Natural Resources

    • General function:

    • Y = A imes F(K, L, H, N)

    • Alternative production function:

    • Y = A imes (K^α)(L^b)(N^γ)

Understanding Capital Per Hour Worked

  • Capital per hour worked (K/L) analysis aligns with real GDP per hour worked (Q/L), focusing on the implications of increasing technology to avoid diminishing returns.

Economic Growth: Potential GDP

  • Potential GDP indicates maximum output capabilities under normal operating conditions.

  • Factors that can raise potential GDP:

    • An expanding labor force,

    • Increased capital stock,

    • Rising productivity.

Economic Development Stages

  • Three Stages of Economic Development:

    • Agricultural Stage: Focus on US agriculture.

    • Manufacturing Stage: Focus on US manufacturing.

    • Services Stage: Focus on US service industry.

Keys to Economic Development

  • Property Rights: Essential for incentivizing work, promoting investments, and encouraging innovations.

  • Free Rider Problem: Challenges economic productivity, as seen in China’s historical policies.

  • Honest Government: Guarantees property rights to support economic activity.

  • Political Stability: Essential for consistent investments and growth.

  • Legal System: Facilitates contracts and protects property rights.

Final Thoughts

  • Discussions on alternatives to GDP and their implications on societal happiness.

  • YouTube pieces highlight variations in economic success and growth interpretations over time.