What is the production function in macroeconomics?
Y = AF(K,N), where Y = output, K = capital, N = labor, A = productivity.
Define marginal product of capital (MPK).
Extra output from one more unit of capital, holding other inputs constant.
Define marginal product of labor (MPN).
Extra output from one more unit of labor, holding other inputs constant.
What does diminishing marginal product mean?
As more of an input is added, its additional contribution to output falls.
What is a supply (productivity) shock? Give an example.
A change in productivity (A) that shifts the production function, e.g., new technology, bad weather.
Define returns to scale and list its three types.
Output change when all inputs scale by z: constant (Y2 = zY1), increasing (Y2 > zY1), decreasing (Y2 < zY1).
How do firms decide how much labor to hire in the short run?
By setting MPN = w (real wage).
What condition defines the labor demand curve?
MPN = w.
Why is the labor demand curve downward sloping?
As real wage falls, firms hire more labor (MPN > w).
What shifts the labor demand curve?
Productivity shocks (A↑) and capital stock increases (K↑).
What is the income-leisure tradeoff?
Workers choose between working (income) and leisure, balancing utility.
Define substitution effect of a wage increase.
Higher wage makes leisure more costly → less leisure → more labor supplied.
Define income effect of a wage increase.
Higher wage raises wealth → more leisure demanded → less labor supplied.
What typically dominates in labor supply: substitution or income effect?
Substitution effect, so labor supply slopes upward.
What factors shift labor supply?
Wealth, expected future wages, population size, participation rate.
What is full-employment output (Y*)?
Output when labor market clears (Nd = Ns) and wages/prices adjust.
What happens to equilibrium wage, employment, and output after a negative supply shock?
↓ A → ↓ MPN → ↓ Nd → lower wage, lower employment, lower Y*.
Define the three employment status categories measured by the BLS.
Employed, Unemployed, Not in labor force.
Define unemployment rate, labor force participation rate, and employment ratio.
u-rate = unemployed / labor force. Participation = labor force / adult population. Employment ratio = employed / adult population.
What is the natural rate of unemployment?
Frictional + structural unemployment at full employment.
What is Okun’s Law? State the relationship.
ΔY/Y = 3% – 2Δu; each 1% ↑ in unemployment reduces GDP growth by 2%.
Write the goods market equilibrium condition.
Sd = Id.
What is a lump-sum tax? How does it differ from an income tax?
Fixed amount regardless of behavior (non-distortionary); income tax depends on earnings.
State the government budget constraint in present value terms.
G1 + G2/(1+r) = T1 + T2/(1+r).