MacroEconomic Growth

Productivity and Growth

Output per hour of work rises with physical capital, human capital and technology.

Not started Jump to practice

Over decades, Nominal and Real GDP per person has risen many times over in the richest countries. That is growth of the economy's capacity, the outward shift of the production possibilities curve. Where does it come from?

Key idea

Labor productivity is real output per hour of work. Real GDP = output per hour × hours worked, so real GDP grows by about the growth of productivity plus the growth of hours. Lasting gains in living standards come from productivity, which rises with physical capital (machines, buildings, equipment), human capital (skills and education) and technology (better ways of producing).

Why it works

More hours of work raise output, but there are only so many hours in a week, and more work means less leisure. Output per hour has no such limit. A worker with a better tool, more training, or a smarter method produces more in the same hour. Capital alone runs into diminishing returns: the tenth machine per worker adds less than the first. Technology lifts the whole relationship, so the same capital and skills produce more. That is why economists see new ideas as the deepest source of long-run growth.
An aggregate production function, with capital per worker $k$ across the bottom. Move along the curve: each extra unit of capital per worker adds less (diminishing returns). Raise $A$ (technology): the whole curve lifts.

Worked examples

Worked example: Output per hour

A country produces \$12,000 billion of real GDP with 200 billion hours of work. Find labor productivity.
  1. $\dfrac{12{,}000 \text{ billion}}{200 \text{ billion hours}} = 60$ dollars per hour.
  2. Each hour of work produces \$60 of real output on average.

Answer: \$60 per hour

Worked example: Splitting growth

Productivity grows 2% a year and hours grow 1% a year. How fast does real GDP grow? How much of it raises output per hour?
  1. Real GDP growth $\approx 2\% + 1\% = 3\%$.
  2. Only the 2% from productivity raises output per hour, the part that lifts living standards.

Answer: About 3%; 2% from productivity

The three sources of productivity growth.
SourceExample
Physical capitalfaster trucks, robots on an assembly line, new office buildings
Human capitala welding course, more students finishing college
Technologya cheaper way to make solar panels, better software

Common mistake

Crediting growth to more hours of work alone, and missing that lasting gains in living standards come from more output per hour. Check: divide output by hours; if output per hour is flat, people are richer only because they work more.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

Loading practice…

Builds on

Leads to

Sources and further reading

  • OpenStax Principles of Macroeconomics 3e, 6.2 Labor Productivity and Economic Growth
  • OpenStax Principles of Macroeconomics 3e, 6.3 Components of Economic Growth
  • College Board, AP Macroeconomics Course and Exam Description (topic list)
@teddyrookbook GitHub