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CFA Level II · CFA Level II Exam

Economic Growth for CFA Level II: Chapter Guide

Economic growth is the rise in an economy's potential output over time. For CFA Level II, you split growth into labour, capital and total factor productivity using the Cobb-Douglas growth accounting equation, then compare classical, neoclassical and endogenous theories and judge whether economies converge.

What this chapter covers

This chapter explains why some economies grow faster than others and how analysts measure and forecast that growth. You start with the sources of growth: labour, physical capital, human capital, natural resources, technology and institutions. You then learn to break measured growth into the contribution of each input.

The core calculation tool is growth accounting. Using the Cobb-Douglas production function, growth in output = growth in technology (total factor productivity) + α × growth in capital + (1 − α) × growth in labour, where α is capital's share of income. A closely related form uses labour productivity: growth in output per worker = growth in TFP + α × growth in capital per worker. You will also use the Solow residual idea, where TFP growth is the part of output growth not explained by measured inputs.

The second half is conceptual. Classical theory predicts growth stalls as population rises. Neoclassical theory says capital deepening has diminishing returns, so in the long run only technology lifts per-capita growth. In the neoclassical steady state, growth in output per worker (labour productivity) equals θ/(1 − α), where θ is TFP growth and α is capital's share. Growth in total output equals θ/(1 − α) plus growth in the labour force (population), which is higher than growth in output per worker when labour force growth is positive. Endogenous theory says growth comes from investment in human capital and innovation, which can show increasing returns. Convergence hypotheses then test whether poorer economies catch up. This links to the rest of the paper through Economics (currency and capital flows), equity valuation (long-run growth rates in discounted cash flow models) and portfolio construction (country allocation and capital market expectations).

Economic growth is a compact chapter inside the Economics topic, which carries a modest weight, yet it is highly testable because the calculations are short and the theory questions reward precise distinctions. In an item set, you may get a vignette with growth rates and income shares and be asked to compute TFP growth or the contribution of capital, then judge which theory a policymaker's view reflects. The same ideas feed the long-run growth assumptions that underpin equity valuation and capital market expectations, so mastering it pays off beyond its own questions.

Economic Growth: topics in the order to study them

  1. 1Sources of Economic GrowthYou need the vocabulary of inputs, productivity and potential output before any model makes sense.
  2. 2Measuring Economic Growth and Growth AccountingThis holds the formulas, so learn them early and practise until the arithmetic is automatic.
  3. 3Classical, Neoclassical and Endogenous Growth TheoriesThese theories explain the inputs and growth accounting results you have just calculated, especially diminishing returns and TFP.
  4. 4Convergence Hypotheses and Growth in Developed vs Developing EconomiesIt applies the theories to real country comparisons, so it comes last and ties the chapter together.

How to prepare Economic Growth

Split your time between a small set of calculations and a larger set of precise concept distinctions. Item sets mix both, so train on vignettes rather than isolated facts.

  1. Read the sources of growth and make a one-page list of inputs, with what raises each one and what limits it.
  2. Write the growth accounting equations from memory: output growth = TFP growth + α × capital growth + (1 − α) × labour growth, and the per-worker version.
  3. Solve at least ten practice calculations, including reverse ones where you solve for TFP growth or α from given data.
  4. Build a comparison table by hand of classical, neoclassical and endogenous theories: view on returns to capital, role of technology, and long-run growth prediction. For the neoclassical case, note that steady-state growth in output per worker is θ/(1 − α), and total output growth equals that plus labour force (population) growth.
  5. Learn the three convergence ideas (absolute, conditional and club) and the reasons developing economies may or may not catch up.
  6. Practise item sets: underline growth rates, income shares and policy statements in the vignette, then match each question to a formula or a theory.
  7. In the last week, redo the questions you got wrong and recite the key distinctions aloud.

Common mistakes in Economic Growth

  • Swapping α and (1 − α) in the growth accounting equation.

    Fix: Always label α as capital's share and attach it to capital growth. Check that the two weights sum to 1 before computing.

  • Treating TFP growth as a given input rather than the residual.

    Fix: Compute output growth minus α × capital growth minus (1 − α) × labour growth, and read the vignette to see which term is missing.

  • Mixing the total-output form with the per-worker form.

    Fix: Check whether the data is for capital or capital per worker, and use the matching equation.

  • Saying neoclassical theory predicts permanent growth from capital investment.

    Fix: Remember that diminishing returns stop capital deepening from raising long-run per-capita growth; only technology can, and in the model it is exogenous.

  • Confusing absolute and conditional convergence.

    Fix: Link absolute convergence to catch-up regardless of country characteristics. Link conditional convergence to economies with the same savings rate, population growth and production function, which converge to the same steady state and income level. Economies with different characteristics converge to different steady-state levels, so they need not catch up with richer economies. Remember that convergence is relative to each economy's own steady state: a poorer economy can still grow faster if it is further below its own steady state. Check what the vignette says about savings rates, institutions and technology.

  • Answering a theory question from general knowledge instead of the vignette's wording.

    Fix: Identify the policymaker's or analyst's claim in the vignette about returns to capital, technology or human capital, then match it to the theory.

Last-day revision: Economic Growth

  • Potential GDP growth comes from growth in labour input and growth in labour productivity.
  • Growth accounting: ΔY/Y = ΔA/A + α × ΔK/K + (1 − α) × ΔL/L.
  • Per-worker form: Δ(Y/L)/(Y/L) = ΔA/A + α × Δ(K/L)/(K/L).
  • TFP growth is the residual: output growth minus the weighted growth of capital and labour.
  • α is capital's share of national income and (1 − α) is labour's share.
  • Classical theory: growth is temporary because population growth erodes gains in per-capita income.
  • Neoclassical theory: diminishing marginal returns to capital, so long-run per-capita growth comes from technology.
  • Neoclassical steady state: capital per worker is stable and growth in output per worker equals θ/(1 − α), where θ is TFP growth. Growth in total output equals θ/(1 − α) plus labour force (population) growth.
  • Endogenous growth: investment in human capital and R&D can give non-diminishing returns, so growth is sustained from within.
  • Absolute convergence: poorer economies catch up to richer ones regardless of country characteristics. Conditional convergence: economies with the same savings rate, population growth and production function converge to the same steady state and income level; economies with different characteristics converge to different steady-state levels, so they need not catch up with richer economies. Convergence is relative to each economy's own steady state, and a poorer economy grows faster the further it is below its own steady state.
  • Club convergence: economies within a group converge to the group's level, but groups differ.
  • Capital deepening raises labour productivity but with diminishing returns; technology progress does not.

Economic Growth: frequently asked questions

How much of the CFA Level II exam is economic growth?

Economic growth sits inside the Economics topic, which has a weight of 5-10%. Questions come as part of item sets, so you will see it within a vignette with four questions. Treat it as a small but efficient area to score in.

What is the most important formula in this chapter?

The growth accounting equation is the key one: output growth = TFP growth + α × capital growth + (1 − α) × labour growth. You can rearrange it to find TFP growth or the contribution of each input. Learn the per-worker version too.

What is the difference between neoclassical and endogenous growth theory?

Neoclassical theory assumes diminishing returns to capital, so long-run per-capita growth depends on technology that comes from outside the model. Endogenous theory makes technology and human capital part of the model, so investment can sustain growth. This difference in returns to capital is the usual exam point.

How do I find the data I need in an economic growth vignette?

Scan for growth rates of output, capital and labour, and the share of income going to capital. Note whether figures are per worker or total. Then read each question to see which input is missing.