Free CFA Level II Economics Practice Questions

C is correct. The Solow residual is calculated as the difference between total GDP growth and the weighted contributions of capital and labor growth. It represents total factor productivity (TFP) growth—the portion of economic growth attributable to factors other than increased quantities of inputs. These factors include technological progress, improvements in education and workforce skills, better institutions, economies of scale, and improved resource allocation.

B is incorrect. Capital depreciation is a separate concept that reduces the net capital stock over time. While depreciation affects the capital accumulation equation in the Solow model, it is not what the Solow residual measures. The residual measures efficiency gains, not physical wear on capital.

A is incorrect. The difference between nominal and real GDP growth is the GDP deflator (inflation). The Solow residual operates within real GDP growth accounting and has nothing to do with the nominal-real distinction.

B is correct. Using the Cobb-Douglas growth accounting equation:
$$\Delta Y/Y = \Delta A/A + \alpha(\Delta K/K) + (1-\alpha)(\Delta L/L)$$
Given: GDP growth = 5.2%, capital growth = 6.8%, labor growth = $-0.3\%$, and $\alpha = 0.50$:
$$5.2\% = \Delta A/A + 0.50(6.8\%) + 0.50(-0.3\%)$$
$$5.2\% = \Delta A/A + 3.40\% - 0.15\%$$
$$5.2\% = \Delta A/A + 3.25\%$$
$$\Delta A/A = 5.2\% - 3.25\% = 1.95\%$$
China's TFP growth of 1.95% indicates meaningful technological progress, though the majority of GDP growth still comes from capital accumulation, which contributes 3.40 percentage points.

A is incorrect. The value 3.40% represents the contribution of capital accumulation alone ($\alpha \times \Delta K/K = 0.50 \times 6.8\%$), not TFP growth. This is a common error in growth accounting: confusing a single factor's contribution with the Solow residual.

C is incorrect. The value 5.20% is the total real GDP growth rate itself. If TFP growth equaled total GDP growth, it would imply zero contribution from both capital and labor, which contradicts the given positive capital growth and a capital share of 0.50.

A is correct. Labor productivity growth (growth in output per worker, $\Delta (Y/L)/(Y/L)$) equals GDP growth minus labor force growth:

$$\text{Labor productivity growth} = \Delta Y/Y - \Delta L/L = 3.5\% - 1.2\% = 2.3\%$$

Alternatively, using the intensive form of the growth accounting equation:
$$\Delta (Y/L)/(Y/L) = \Delta A/A + \alpha \times (\Delta K/K - \Delta L/L)$$
$$= 0.5\% + 0.38 \times (4.2\% - 1.2\%)$$
$$= 0.5\% + 0.38 \times 3.0\%$$
$$= 0.5\% + 1.14\% = 1.64\%$$

Using the simpler approach (GDP growth minus labor growth), labor productivity growth is 2.3%, which is the closest answer.

B is incorrect. 3.5% is the total GDP growth rate, not the per-worker growth rate. GDP per worker grows more slowly than total GDP because the labor force is expanding.

C is incorrect. 0.5% is the TFP growth rate alone. While TFP contributes to labor productivity growth, it does not account for the capital deepening component (growth in capital per worker), which also increases labor productivity.