Assignment:
Technological progress: The short-run and the medium-run
1. Suppose that the labor market of an economy in the medium-run is characterized by the following equations:
Price setting: P = (1 + m)W/A
Wage setting: W = AePe(1 - u)
a) Solve for the unemployment rate (that is, find the natural rate of unemployment) if Pe = P, but Ae does not necessarily equal A, so that Ae ≠ A. What would be the effect of A / Aeon the natural rate of unemployment?
b) Suppose now that expectations of both prices P and productivity A are accurate, so that Pe = P and Ae = A. Solve for the natural rate of unemployment if the markup (m) is equal to 5%.
un = 1-1/1+m = 1-1/1+5% = 4.76%
c) Given your answers to parts (a) and (b), does the natural rate of unemployment depend on productivity? Explain the logic behind your answer.
2. Discuss the effects of profitability and current cash flow on investment decisions.