Unit 5: Long-Run Consequences of Stabilization Policies
Students will spend time exploring the effects of fiscal and monetary policy actions and examine the concept of economic growth.
Policy Framework & Goals
- Stabilization policy uses fiscal and monetary instruments to influence aggregate demand around potential output. The long-run benchmark is full-employment real GDP \(Y^{*}\) with unemployment at the natural rate \(u^{*}\) and low, predictable inflation. The curriculum treats these as macro goals distinct from the tools that implement them.
- The short run features sticky wages and prices, so nominal spending changes move real output through SRAS. The long run features fully flexible wages and prices, so the economy returns to \(Y^{*}\) while the aggregate price level adjusts. This horizon split implies different consequences for the same policy across periods.
- Policy analysis is mapped consistently across three diagrams: the money market, the loanable funds market, and AD–AS. The money market uses the nominal interest rate \(i\) and the quantity of money \(M\), while the loanable funds market uses the real rate \(r\) and the quantity of funds. The Fisher relationship \( r \approx i - \pi^{e} \) links nominal and real rates for cross-model statements.
- Output gaps classify deviations of actual output from potential. A recessionary gap is \(YY^{*}\). These labels determine whether stabilization aims to shift AD right or left.
- Purely demand-driven policy changes are neutral for real output in the long run. After expectations and nominal wages adjust, SRAS shifts until equilibrium returns to \(Y^{*}\). The lasting effect is on the aggregate price level rather than on \(Y\).
- Policies are categorized as discretionary changes in \(G\), \(T\), or the money stock, and automatic stabilizers embedded in tax and transfer rules. Automatic stabilizers move net taxes with income and dampen aggregate demand fluctuations without new legislation. Discretionary actions are explicit instrument changes aimed at correcting identified gaps.
- Goals, targets, instruments, and indicators are distinct elements in the framework. Targets are controllable policy variables such as a short-run policy interest rate or a money stock path. Instruments include open market operations and fiscal parameters, while indicators include observed inflation, unemployment, and output.
- Self-correction operates through expected price level \(P^{e}\) and nominal wage adjustments. When \(Y>Y^{*}\), rising \(P^{e}\) shifts SRAS left, and when \(Y
Fiscal Policy: Short-Run vs. Long-Run Effects
- Fiscal policy changes government purchases \(G\), taxes \(T\), and transfers \(TR\) to influence aggregate demand. In the AD–AS model, these instruments shift the AD curve at a given aggregate price level. Short-run analysis holds wages and input costs sticky, so output \(Y\) responds to AD shifts.
- Expansionary fiscal policy raises \(G\), lowers \(T\), or raises \(TR\) and shifts AD right. With upward-sloping SRAS, the short-run equilibrium shows higher real output \(Y\) and a higher price level \(P\). If a recessionary gap exists, the new equilibrium moves toward potential output \(Y^{*}\).
- Contractionary fiscal policy lowers \(G\), raises \(T\), or lowers \(TR\) and shifts AD left. With upward-sloping SRAS, the short-run equilibrium shows lower \(Y\) and a lower \(P\). If an inflationary gap exists, the new equilibrium moves toward \(Y^{*}\).
- Short-run effects are summarized by the spending multiplier \( k=\frac{1}{1-\text{MPC}} \) and the lump-sum tax multiplier \( k_T=-\frac{\text{MPC}}{1-\text{MPC}} \). These formulas assume a fixed price level, no imports, and no excess saving beyond the stated \(\text{MPS}\). When SRAS is upward sloping or leakages exist, realized changes in \(Y\) are smaller than the simple formulas imply.
- A simultaneous equal change in purchases and taxes yields the balanced-budget multiplier. Under lump-sum taxes and fixed prices, the net effect on output equals the change in purchases, so the multiplier equals one. With proportional taxes or import leakages, the balanced-budget multiplier falls below one.
- Higher government borrowing associated with expansionary fiscal policy shifts the demand for loanable funds right. The equilibrium real interest rate \(r\) rises and reduces interest-sensitive private investment \(I\). This attenuation of \(I\) partially offsets the rightward AD shift and is called crowding out.
- Automatic stabilizers alter net taxes with income through progressive taxation and income-contingent transfers. They reduce the size of output fluctuations by lowering the effective multiplier during expansions and recessions. The cyclically adjusted budget isolates the structural stance by evaluating the balance at \(Y^{*}\).
- In the long run, nominal wages and input prices adjust so that output returns to potential \(Y^{*}\). Purely demand-based fiscal actions therefore leave long-run real output unchanged while the price level differs. LRAS does not shift unless policy changes affect resources, technology, or institutions.
- Changes in the composition of \(G\) can affect long-run capacity only if they alter factor accumulation or productivity. Such effects are represented as shifts of LRAS rather than as movements along existing curves. Demand-management analysis in this unit treats these composition effects as outside the baseline unless specified.
- Persistent primary deficits raise the stock of public debt and the associated interest obligations. Higher debt service can influence future fiscal choices and the path of public saving in the loanable funds framework. However, AD shifts occur only when \(G\), \(T\), or \(TR\) change, not from the existence of debt by itself.
Monetary Policy: Short-Run vs. Long-Run Effects
- Monetary policy changes the money supply to influence the nominal interest rate and aggregate demand. In this unit, the central bank’s instruments shift money supply in the money market diagram. The analysis distinguishes short-run effects with sticky inputs from long-run neutrality results.
- In the money market, an increase in money supply shifts the vertical \(MS\) curve right and lowers the equilibrium nominal interest rate \(i\). A decrease in money supply shifts \(MS\) left and raises \(i\). These are comparative-static statements holding money demand determinants fixed.
- Lower \(i\) increases interest-sensitive planned expenditure in \(AD \equiv C+I+G+X_n\) at a given price level. Aggregate demand shifts right and short-run equilibrium shows higher \(Y\) and higher \(P\) with upward-sloping \(SRAS\). Higher \(i\) reverses these directions and shifts \(AD\) left.
- In the long run, nominal wages and input prices adjust and shift \(SRAS\) until output returns to potential \(Y^{*}\). Purely demand-based monetary changes are neutral for real output and employment in the long-run equilibrium. The lasting effect is on the aggregate price level rather than on \(Y\).
- The Fisher relationship links rates as \( r \approx i - \pi^{e} \), where \(r\) is real and \(\pi^{e}\) is expected inflation. For a given \(r\), a higher \(\pi^{e}\) requires a higher \(i\) to maintain the same real stance. If \(\pi^{e}\) changes and \(i\) is not adjusted, the real rate changes and alters \(AD\).
- On the Phillips diagrams, a monetary expansion moves the economy along a given \(SRPC(\pi^{e})\) toward lower unemployment and higher inflation in the short run. As expectations adjust, \(SRPC\) shifts upward and the economy returns to the vertical \(LRPC\) at \(u^{*}\). There is no long-run tradeoff between inflation and unemployment in this framework.
- Under interest-rate targeting, the central bank offsets money-demand shifts to keep \(i\) at its target. Under quantity targeting, \(MS\) is fixed and \(i\) varies with money demand. Both implementations map into \(AD\) shifts through the same interest-sensitivity channels.
- Policy effects depend on the interest sensitivity of \(C\) and \(I\) and on leakage parameters in multiplier conditions. Lower sensitivity or larger leakages produce smaller \(AD\) shifts for a given change in \(i\). Higher sensitivity produces larger \(AD\) shifts for the same change in \(i\).
- At very low nominal interest rates, money demand can be highly interest-elastic in a region of the diagram. An increase in \(MS\) then changes the quantity of money but produces little change in \(i\). The implied shift of \(AD\) is correspondingly limited in this model.
- The quantity equation \(MV=PY\) implies in growth rates \( \mu + \nu = \pi + g \), where \( \mu \) is money growth, \( \nu \) is velocity growth, \( \pi \) is inflation, and \( g \) is real output growth. With approximately constant velocity \((\nu \approx 0)\), sustained higher money growth implies higher long-run inflation with \(Y\) at \(Y^{*}\). This restates long-run neutrality of money and the price-level consequence of monetary policy.
Phillips Curves & Expectations
- The short-run Phillips curve (SRPC) shows an inverse relationship between unemployment \(u\) and inflation \(\pi\) for a given expected inflation \(\pi^{e}\). Holding \(\pi^{e}\) constant, lower \(u\) is associated with higher \(\pi\), and higher \(u\) with lower \(\pi\). This tradeoff is conditional on expectations and is not permanent.
- Movements along a given SRPC are caused by aggregate demand disturbances with \(\pi^{e}\) held fixed. A rightward AD shift lowers \(u\) and raises \(\pi\), moving the economy upward along the SRPC. A leftward AD shift raises \(u\) and lowers \(\pi\), moving it downward along the SRPC.
- Changes in expected inflation shift the entire SRPC without changing its slope. An increase in \(\pi^{e}\) shifts the SRPC upward by the same amount at every \(u\). A decrease in \(\pi^{e}\) shifts the SRPC downward by the same amount at every \(u\).
- The long-run Phillips curve (LRPC) is vertical at the natural rate of unemployment \(u^{*}\). There is no long-run tradeoff between \(u\) and \(\pi\) because expectations adjust and output returns to potential \(Y^{*}\). Every SRPC with different \(\pi^{e}\) intersects the LRPC at \(u=u^{*}\).
- When policymakers attempt to keep \(u
- When policymakers allow \(u>u^{*}\), actual inflation falls short of expected inflation and lowers \(\pi^{e}\) over time. The SRPC shifts downward until \(u\) returns to \(u^{*}\) at a lower ongoing \(\pi\). This process describes disinflation with temporary unemployment above \(u^{*}\).
- Supply shocks shift the SRPC independently of \(\pi^{e}\). An adverse supply shock (leftward SRAS shift) moves the SRPC up and right, yielding higher \(\pi\) at any \(u\). A favorable supply shock (rightward SRAS shift) moves the SRPC down and left, yielding lower \(\pi\) at any \(u\).
- The natural rate \(u^{*}\) corresponds to full-employment output \(Y^{*}\) in AD–AS with a vertical LRAS. Structural changes that alter matching efficiency, labor participation, or productivity can shift the LRPC by changing \(u^{*}\). Pure demand changes do not shift the LRPC because they do not change long-run capacity.
- Expected inflation enters the textbook relation \(\pi = \pi^{e} - \alpha\,(u - u^{*})\) for \(\alpha>0\) at AP scope. Holding \(\pi^{e}\) fixed, a one-unit decrease in \(u\) raises \(\pi\) by \(\alpha\). Shifts in \(\pi^{e}\) translate the SRPC vertically in this linear form.
- Disinflation strategies are interpreted as policies that reduce \(\pi^{e}\) and shift the SRPC downward. In the transition, unemployment typically rises above \(u^{*}\) until expectations realign and the economy returns to the LRPC. The long-run outcome is lower inflation with unemployment at \(u^{*}\).
Inflation, Disinflation, and Deflation (Costs & Dynamics)
- Inflation is a sustained increase in the aggregate price level, with rate \( \pi_t = \frac{P_t - P_{t-1}}{P_{t-1}} \times 100\% \). Disinflation is a fall in the inflation rate while \(P\) continues to rise. Deflation is a sustained decrease in \(P\) so that \( \pi < 0 \).
- Demand-pull inflation arises from a rightward shift of AD, raising \(Y\) and \(P\) in the short run. Cost-push inflation arises from a leftward shift of SRAS, lowering \(Y\) and raising \(P\). Stagflation refers to the cost-push case with higher inflation and lower output.
- Unexpected inflation redistributes purchasing power because ex post real return equals \( i - \pi \). Lenders lose and borrowers gain when \( \pi > \pi^{e} \), with the reverse when \( \pi < \pi^{e} \). These redistributions do not change total real income but alter who receives it.
- Anticipated inflation imposes resource costs without redistribution from surprise. Menu and shoe-leather costs reflect price adjustment and money-holding responses. Relative price variability can distort signals when firms change prices at different times.
- Disinflation reduces \( \pi \) by aligning actual inflation with lower \( \pi^{e} \). In the SRPC framework, \(\pi^{e}\) falls and the SRPC shifts downward over time. Transitional unemployment above \(u^{*}\) is the typical short-run cost at AP scope.
Policy Lags and Limitations
- Recognition lag is the time to detect a gap between \(Y\) and \(Y^{*}\). Decision lag is the time to authorize a policy change in \(G\), \(T\), or the operating stance of money. Implementation lag is the time to execute the authorized change.
- Transmission lag is the time for interest-rate or tax-and-transfer changes to affect components of \(AD\). Monetary transmission operates through \(i\) to interest-sensitive \(C\) and \(I\). Fiscal transmission operates directly through \(G\) and indirectly through \(Y_d\) to \(C\).
- Interest sensitivity limits the size of the \(AD\) response to a given change in \(i\). Low sensitivity of \(I\) or a highly interest-elastic money demand reduces movement in real activity. In a low-nominal-rate region, additional money may change \(M\) more than \(i\).
- Leakages reduce multiplier size and thereby the output effect of demand management. With proportional taxes and imports, the spending multiplier becomes \( k = \frac{1}{\text{MPS} + \text{MPC}\cdot t + m} \). A steeper SRAS also channels a larger share of an \(AD\) shift into \(P\) rather than \(Y\).
- Forecast uncertainty and overlapping shocks can cause policy to miss the intended target. Acting after conditions change can produce over- or under-correction relative to the current gap. Long-run neutrality implies that persistent demand stimulus does not raise \(Y^{*}\).
Budget Deficits, Public Debt, and Long-Run Considerations
- The budget balance is \( \text{BB} \equiv T - G - TR \), with a deficit when \( \text{BB} < 0 \) and a surplus when \( \text{BB} > 0 \). The primary balance excludes interest payments on existing debt. Public debt is the cumulative stock of past deficits minus surpluses.
- The cyclically adjusted (structural) balance evaluates the budget at \(Y^{*}\). This removes automatic stabilizer effects from \(T\) and \(TR\). It isolates the discretionary fiscal stance for comparison across periods.
- The debt-to-GDP ratio scales the debt stock by nominal GDP. Its change depends on the primary balance and the difference between the nominal interest rate and nominal GDP growth. A rising ratio indicates debt growing faster than the economy’s nominal income.
- In loanable funds, a deficit is negative public saving that shifts the demand for funds right. The real interest rate \(r\) rises and private investment \(I\) is reduced, a mechanism labeled crowding out. A surplus shifts supply right, lowering \(r\) and supporting \(I\).
- Persistent deficits can slow capital accumulation by reducing \(I\) over time. Slower accumulation can limit growth in potential output \(Y^{*}\) and shift LRAS rightward more slowly. Composition effects that raise productivity would shift LRAS, but demand changes alone do not.
Supply-Side and LRAS
- Long-run aggregate supply (LRAS) is vertical at potential output \(Y^{*}\) because wages and input prices are fully flexible. Changes in the aggregate price level \(P\) do not alter the long-run quantity of real output. The LRAS position summarizes the economy’s productive capacity.
- Determinants of LRAS are summarized by the production function \( Y = A \cdot F(K,L,H,N) \). Increases in total factor productivity \(A\), physical capital \(K\), labor \(L\), human capital \(H\), or resources \(N\) shift LRAS right. Decreases in these factors shift LRAS left.
- Supply-side policies affect \(Y^{*}\) only if they change resources, incentives, or productivity. Examples include measures that raise labor-force participation, capital formation, education quality, or innovation intensity. Such changes are depicted as LRAS shifts rather than movements along existing curves.
- Economic growth is represented as a rightward shift of LRAS and an outward shift of the PPC. This depiction indicates a higher sustainable level of real output at full employment. The growth statement is independent of aggregate demand at this horizon.
- Temporary cost or expectation changes shift SRAS, not LRAS, in the course framework. Persistent technology or resource changes shift LRAS by altering productive capacity. Proper classification separates short-run cost disturbances from long-run structural movements.
Rules vs. Discretion (Course-Level)
- A policy rule specifies a pre-announced mapping from states to instruments, while discretion allows case-by-case instrument choices. The curriculum contrasts commitment with flexibility using expectations. Both approaches are evaluated by their effects on inflation and output variability.
- Credible rules can anchor expected inflation \(\pi^{e}\) and reduce shifts of the SRPC caused by expectation changes. Anchored expectations lower the inflation cost of returning output to \(Y^{*}\). This mechanism operates through wage and price setting in later periods.
- The time-consistency problem states that a discretionary authority may have an incentive to engineer \(u
- Rules reduce recognition and decision uncertainty but may fit poorly when shocks are atypical. Discretion adapts to unusual disturbances but can weaken credibility about future \(\pi^{e}\). The trade-off is presented at a qualitative level without formulas.
- Course-level examples of rules include constant money growth guidance, inflation targeting, and simple rate-setting guidelines. Discretion corresponds to adjusting instruments based on current estimates of gaps and shocks. The diagrams used do not change, but the expectation channel differs.
Model Integration & Diagram Sets
- In the money market, a higher money supply shifts \(MS\) right and lowers the nominal rate \(i\). Via \( r \approx i - \pi^{e} \), a lower real rate \(r\) raises planned \(I\) in \(AD \equiv C+I+G+X_n\). AD shifts right in the AD–AS diagram at a given price level.
- In loanable funds, higher saving or capital inflow shifts the supply of funds right and lowers \(r\). Lower \(r\) increases planned real investment and raises AD at a fixed price level. Deficits are represented as higher borrowing that shifts demand right and raises \(r\).
- Shock identification uses joint movements of \(P\) and \(Y\) in AD–AS. Same-direction changes in \(P\) and \(Y\) indicate a demand disturbance, while opposite-direction changes indicate a supply disturbance. Classification determines which curve has shifted and the sign of the shift.
- Short-run equilibria are at the intersection of AD and SRAS, and long-run equilibria are at the intersection of AD, SRAS, and LRAS. Following demand shocks, SRAS adjusts over time so that \(Y\) returns to \(Y^{*}\) with a different \(P\). This restates long-run neutrality for real output.
- Diagram conventions require explicit axes and rate measures: \(i\) with money and \(M\), \(r\) with funds and quantity, and \(P\)–\(Y\) with AD–AS. Consistency across diagrams uses \( r \approx i - \pi^{e} \) and the expenditure identity for AD. Mislabeling nominal and real rates leads to inconsistent comparative statics.
Government Deficits and National Debt
- The budget balance is defined as \( \text{BB} \equiv T - G - TR \) for a given period. A deficit occurs when \( \text{BB} < 0 \) and a surplus occurs when \( \text{BB} > 0 \). This flow measure is distinct from the stock of outstanding debt.
- Public debt is the cumulative past deficits minus surpluses. Interest payments on the debt are outlays but are not purchases of current goods and services. Distinguishing flow and stock avoids misinterpreting policy effects on AD.
- The cyclically adjusted (structural) balance is the budget balance evaluated at \(Y^{*}\). This measure removes the automatic effects of the business cycle on revenues and transfers. It is used to infer the discretionary fiscal stance.
- The debt-to-GDP ratio scales the nominal debt by nominal GDP to provide a size-neutral indicator. Its evolution depends on the primary balance, the interest rate, and the growth rate of nominal GDP. A rising ratio indicates debt growing faster than the economy.
- In the AD–AS framework, changes in \(G\), \(T\), or \(TR\) shift aggregate demand regardless of the contemporaneous deficit sign. The existence of a deficit or surplus by itself does not shift AD without instrument changes. Long-run capacity \(Y^{*}\) is unaffected unless policies alter resources or productivity.
Crowding Out
- Crowding out describes the reduction of private real investment associated with higher real interest rates from expansionary fiscal policy. In the loanable funds model, increased government borrowing shifts the demand for funds to the right. The equilibrium real rate rises and the quantity of private investment falls.
- Partial crowding out occurs when the increase in \(G\) is only partly offset by lower \(I\). Complete crowding out is the limiting case where the rise in \(r\) eliminates the initial AD increase through investment. AP treatment requires only the directional comparison rather than magnitudes.
- In the short run with upward-sloping SRAS, expansionary fiscal policy still shifts AD to the right. The rise in \(r\) reduces the interest-sensitive component \(I\) and therefore attenuates the net shift. The AD displacement is smaller than the initial change in \(G\) in the presence of crowding.
- Automatic stabilizers and leakage-adjusted multipliers further reduce the realized output response. Proportional taxes and imports add terms to the multiplier denominator and shrink total effects. These features operate alongside the interest-rate channel in comparative statics.
- In an open-economy extension, higher domestic real interest rates can attract capital inflow. The inflow shifts the supply of loanable funds right and moderates the increase in the real rate. AP analysis can state this offset qualitatively without exchange-rate mechanics.
Economic Growth and LRAS
- Economic growth in this unit is represented as a rightward shift of long-run aggregate supply. The shift indicates a higher potential output \(Y^{*}\) at full employment. The price level is not used to measure growth in this representation.
- Growth arises from increases in resources and productivity in a production function \( Y = A \cdot F(K,L,H,N) \). Higher total factor productivity \(A\) or larger factor inputs shift LRAS right. Lower \(A\) or persistent factor losses shift LRAS left.
- Demand-management policies change AD but do not shift LRAS in the model. Long-run real output is therefore unaffected by sustained changes in nominal spending alone. This neutrality statement separates stabilization from growth policy.
- On the production possibilities curve, growth is shown as an outward shift of the frontier. The LRAS and PPC depictions are consistent ways to display the increase in capacity. Both diagrams refer to real quantities rather than the price level.
- Measured real GDP growth over time is tracked with chain-weighted indexes to hold composition constant. Potential GDP growth is an estimate of the trend consistent with \(Y^{*}\). The gap between actual and potential output remains the object of stabilization analysis.