Comprehensive Study Guide on the Phillips Curve and Fiscal Policy in Hopeton

Initial Economic Equilibrium of Hopeton

• The economy of Hopeton is defined as currently operating in a state of long-run equilibrium.
• The natural rate of unemployment ($NRU$) for the country is identified as being equal to $5\%$.
• The initial inflation rate for the country is established at $2\%$.
• In this long-run equilibrium state, the actual rate of unemployment is exactly equal to the natural rate of unemployment ($5\%$), indicating that cyclical unemployment is zero.

The Phillips Curve Model: Graphical Structure and Point R

• The Short-Run Phillips Curve ($SRPC$) represents the inverse relationship between the rate of inflation and the rate of unemployment in the short term.
• The ($SRPC$) for Hopeton is depicted as a downward-sloping curve labeled as "SRPC."
• Identifying Point "R": This point represents the current long-run equilibrium state of Hopeton. It is located on the "SRPC" curve at the coordinates where the unemployment rate is $5\%$ and the inflation rate is $2\%$.
• The Long-Run Phillips Curve ($LRPC$): This is represented by a vertical line at the natural rate of unemployment. In Hopeton, the "LRPC" is a vertical line at an unemployment rate of $5\%$.
• The vertical nature of the "LRPC" signifies that, in the long run, the unemployment rate is independent of the inflation rate.

Fiscal Policy Impacts and Short-Run Macroeconomic Changes

• Infrastructure Spending Shock: The government of Hopeton increases spending specifically for the purpose of financing repairs and maintenance of the nation's infrastructure.
• Impact on Unemployment: This increase in government expenditure will lower the unemployment rate in the short run.
• Explanation for Unemployment Change: Higher government spending acts as expansionary fiscal policy, which provides more jobs for the populace.
• Impact on Inflation: The increase in spending will simultaneously increase the inflation rate.
• Explanation for Inflation Change: The higher demand and job growth resulting from the spending increase leading to extra money that people have to spend, which pushes up price levels.
• Movement from Point "R" to Point "S": The short-run movement resulting from this fiscal policy is depicted as a movement along the Short-Run Phillips Curve.
• Identifying Point "S": This new point on the "SRPC" corresponds to the lower unemployment rate (to the left of the initial $5\%$) and the higher inflation rate (above the initial $2\%$) results from the spending increase.

Wage Adjustments and Shifts in the Phillips Curve

• Labor Market Response: Following the decrease in unemployment and increase in inflation caused by government spending, workers demand and receive higher wages.
• Shift in the "SRPC": The result of these higher wages is a shift of the Short-Run Phillips Curve. Specifically, the curve will shift to the right.
• Explanation for the SRPC Shift: The shift occurs because a higher number of workers are demanding and receiving higher wages, which increases the cost of production and shifts inflationary expectations upward.
• Implication of the Shift: A shift to the right of the "SRPC" implies that for any given rate of unemployment, the associated inflation rate is now higher than it was previously.

Questions & Discussion

• Question a: Draw a correctly labeled graph of the short-run Phillips curve, and label the curve as "SRPC." Indicate the point on the SRPC corresponding to the current unemployment and inflation rates, labeled as "R."
• Response a: A downward-sloping "SRPC" is drawn with Point "R" plotted at ($5\%$, $2\%$).
• Question b: On your graph in part (a), draw the long-run Phillips curve, and label it as "LRPC."
• Response b: A vertical line is drawn at the unemployment rate of $5\%$ and labeled as "LRPC."
• Question c: Assume that the government of Hopeton increases spending to finance repairs and maintenance of the country's infrastructure. How will such an increase in spending affect unemployment and inflation in the short run? Explain.
• Response c: An increase in spending will lower unemployment because more jobs are provided, which also increases inflation because of the extra money people have to spend.
• Question d: Show on your graph in part (a) the new point on the SRPC corresponding to the results you stated in part (c), labeled as "S."
• Response d: Point "S" is marked on the curve to the left of and higher than Point "R."
• Question e: Following the increase in government spending, workers demand and receive a higher wage. What happens to the SRPC as a result of the higher wage? Explain.
• Response e: The "SRPC" will shift right because of the higher number of workers demanding and receiving higher wages.