Economic Growth

A sustained increase in real output, usually measured by real GDP (often per capita) over time.

Economic growth is an increase in an economy’s real output over time, most commonly measured by the growth rate of real GDP or real GDP per capita.

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Measuring Growth

If \(Y_t\) is real GDP, a simple growth rate is:

\[ g_t = \frac{Y_t - Y_{t-1}}{Y_{t-1}} \]

Economists often use log differences for approximation:

\[ g_t \approx \ln(Y_t) - \ln(Y_{t-1}) \]

Real GDP per capita matters for living standards: growth in GDP per capita ≈ GDP growth - population growth (roughly, when rates are small).

What Drives Long-Run Growth

A standard way to organize the logic is a production function, for example:

\[ Y = A K^{\alpha} L^{1-\alpha} \]

where:

  • \(K\) is capital (machines, structures),
  • \(L\) is labor (hours, skills),
  • \(A\) is total factor productivity (technology, organization, institutions).

Growth accounting uses this to decompose output growth into contributions from capital deepening, labor growth, and productivity growth.

In the Solow growth model, capital accumulation can raise output for a while, but due to diminishing returns sustained long-run growth in output per worker is tied to growth in \(A\) (productivity/technology).

Growth vs. The Business Cycle

Economic growth is a long-run trend. The business cycle is short-run fluctuation around that trend (recessions and expansions). Demand management can strongly affect short-run output, while long-run growth depends more on productivity and factor accumulation.

Knowledge Check

### Why is real GDP usually preferred to nominal GDP when measuring growth over time? - [x] It removes the effect of inflation so changes reflect quantities, not just prices - [ ] It excludes services - [ ] It counts intermediate goods twice - [ ] It automatically measures inequality > **Explanation:** Nominal GDP can rise simply because prices rise; real GDP is meant to capture changes in production volume. ### In the production function \\(Y = A K^{\\alpha} L^{1-\\alpha}\\), what does \\(A\\) represent? - [ ] The unemployment rate - [x] Total factor productivity (technology/efficiency/institutions) - [ ] Government spending - [ ] The inflation rate > **Explanation:** \\(A\\) is the part of output not explained by measured inputs; it captures productivity and efficiency improvements. ### Real GDP grows 3% and population grows 2% in a year. About how much does real GDP per capita grow? - [ ] 5% - [x] About 1% - [ ] About 2% - [ ] About 3% > **Explanation:** Per-capita growth is approximately output growth minus population growth when the rates are modest.