Quantity Theory of Money & Monetarism – Comprehensive Study Notes

Money Neutrality & the Long-Run Perspective

In the classical view, alterations in the money supply shape only the aggregate price level once the economy has fully adjusted. Real GDP, real interest rates, and other real variables are left unaffected. This principle is termed monetary neutrality and implies that while monetary policy can be a potent short-run stabilizer, it becomes ineffectual for long-run growth. Hence, the Federal Reserve and other central banks are understood to wield monetary policy primarily for short-term output and employment stabilization, not for permanently higher growth.

Open-Market Operations & Federal Funds Rate Targeting

The Federal Open Market Committee (FOMC) pursues a specific target federal funds rate—the overnight inter-bank lending rate—through open-market operations (OMO).

Expansionary Setting (Pushing the Rate Down)

• The Fed buys Treasury securities, injecting reserves into the banking system.
• The money supply curve shifts right (from $MS<em>1$ to $MS</em>2$), creating an excess supply of reserves.
• Competitive trading among banks drives the federal funds rate down to the new target.

Contractionary Setting (Pushing the Rate Up)

• The Fed sells securities, withdrawing reserves.
• The money supply curve shifts left; reserve scarcity raises the federal funds rate.
• Graphically, the equilibrium moves from $E<em>1$ to $E</em>2$ at a higher interest rate $r_T$.

Scope & Debate on Monetary Policy Use

Economists and policymakers dispute how aggressively the Fed should act:

1. Use monetary policy constantly—even without fiscal support?

2. Pair it with fiscal policy when appropriate?

3. Effective for slowing an overheated economy but almost powerless for stimulating a depressed one (“pushing on a string”)?

4. Minimize discretion—follow a rigid rule and let markets adjust?

5. Abolish discretionary policy (or even the Fed) altogether, fearing inevitable inflation under fiat money and advocating a gold standard.

Core Monetary Policy Tools

Open-market operations dominate, yet several instruments exist:

1. Federal Funds Target (short run)

Directs OMO to achieve the desired overnight rate.

2. Discount / Primary Credit Rate

• Historically called the discount rate; in 2003 renamed primary credit rate to reduce arbitrage.
• Set about 100 basis points (1 %) above the target funds rate to discourage routine borrowing.

3. Required Reserve Ratio (RRR)

• $0\%$ on the first $\$11.5\text{ million}$ in transactions deposits (as of 12-29-11).
• $3\%$ on $\$11.5\text{ m}–\$71.0\text{ m}$.
• $10\%$ above $\$71.0\text{ m}$.

4. Term Auction Facility (TAF)

Auction-based, short-term lending window created to avoid the stigma of direct discount-window borrowing.

Historical Interest-Rate Data

• Effective federal funds rate has ranged from near 0 % (post-2008, 2020) to above 19 % (early 1980s Volcker disinflation).
• The traditional discount rate mirrored funds rate moves but stayed roughly 1 % higher until the primary-credit reform.

Quantity Theory of Money & Equation of Exchange

Yale economist Irving Fisher linked money to nominal output with the equation of exchange:
${M \times V = P \times Q}$
where
• $M$ = money supply (e.g., $M<em>1$ or $M</em>2$)
• $V$ = velocity (average number of times each dollar is spent per year)
• $P$ = price level
• $Q$ = real GDP
so $PQ$ is nominal GDP.

Numerical Illustration

Given $M_1 = \$2\text{ trillion}$ and $V = 7$:
${PQ = 2 \times 7 = \$14\text{ trillion}}$—exactly the recorded U.S. GDP at the time of the slide.

Adding Money: Nominal vs. Real Effects

An immediate increase in $M$ raises $M!V$. Short-run results can include higher $Q$ (real growth) if resources are idle, but once the economy approaches potential output, the adjustment occurs chiefly through $P$—inflation. The central thought experiment asks whether new money generates real gains or merely bids up prices.

Monetarism

Core Tenets

• Stems from a modern classical tradition opposing Keynesian activism.
• Competitive markets ensure price and wage flexibility; thus output and employment adjust minimally—prices do the work.
• Government distortions (minimum wages, unions, farm supports) and erratic policy create most instability.

Active vs. Rule-Based Policy

• Active policy = central bank discretion, adjusting $M$ and rates in response to perceived conditions.
• Monetary rule = a preset formula (e.g., constant growth of the money supply) guides policy, removing human error.

Milton Friedman & the Chicago School

• Advocated a “k-percent rule”: grow $M$ at a fixed, modest rate equal to long-run real GDP growth (≈3 – 5 %/yr).
• Argued velocity $V$ was historically stable (1960-1980), so steady $M$ growth would yield steady nominal GDP and low inflation.

Velocity After 1980

Technological innovation (credit cards, ATMs, sweep accounts), business-cycle swings, and deregulation caused $V$ to behave erratically, weakening the case for rigid monetarism.

1970s Stagflation Response

• Monetarists deemed money-supply growth both necessary and sufficient for inflation.
• Prescription: slow, predictable expansion of $M$; let temporary unemployment resolve naturally.
• Excessive activism lengthens and amplifies business cycles.

Monetarism Today

• Friedman later conceded some role for discretionary stabilization.
• Mainstream economists now view investment volatility as the principal private-sector source of instability and regard monetary policy (via interest-rate adjustments) as a useful counterweight.

Strengths & Weaknesses of Monetary Policy

Strengths

• Speed & flexibility: OMO can be executed daily.
• Relative insulation from politics: Governors’ 14-year terms lessen electoral pressure.
• Quiet implementation: No high-profile congressional votes, unlike fiscal packages.

Lag Problems & Cyclical Asymmetry

• Recognition lag: time to diagnose economic conditions.
• Operational/impact lag: 3-6 months before interest-rate changes fully influence spending.
• Asymmetry: Tightening reliably cools inflation; loosening may not spark lending (“pushing on a string”).

Zero Lower Bound & Liquidity Traps

• Nominal rates cannot fall below zero (or only slightly negative), limiting conventional policy.
• A liquidity trap emerges when money demand becomes perfectly elastic at low rates—extra reserves simply pile up.
• Case study: Japan, 1990s–2000s—persistent deflation despite near-zero short-term rates.

U.S. 2001 Recession Response

• Fed slashed the funds rate and expanded $M_1$ sharply; liquidity facilities were opened immediately after 9/11, highlighting rapid central-bank reaction capability.

Money Supply Growth & Inflation: Empirical Evidence

Cross-Country Long-Run Relation (1970-2000)

A 45-degree scatter shows nations like Bolivia with explosive money growth and hyper-inflation, versus Switzerland with low growth and low inflation—reinforcing the monetarist claim that, over decades, $\Delta M$ ≈ $\Delta P$.

Brazil Hyperinflation (1985-1995)

Money supply and price level both rose by roughly 100 billion % in ten years, with no discernible lag. The episode illustrates the extreme form of the long-run neutrality proposition: real variables collapsed, prices detonated.

Interaction of Fiscal & Monetary Policy

If the money supply is fixed, expansionary fiscal policy shifts money demand upward, raising the interest rate and crowding out investment (partial offset to the AD boost). Coordinated action—monetary accommodation—can prevent this crowding out.

Modern Consensus Across Schools

A synthesis now prevails:
• Expansionary monetary policy helps fight recessions except at the zero bound or in liquidity traps.
• Fiscal policy works but should be applied judiciously.
• Neither policy can push unemployment below its natural rate long-term.
• Discretionary fiscal activism is contested; discretionary monetary activism accepted, though some circumstances warrant rule-based approaches.

Fisher Effect

Concept

Expected inflation translates one-for-one into nominal interest rates, leaving the real rate unchanged:
${i = r + \pi^{e}}$
where $i$ is nominal, $r$ real, $\pi^{e}$ expected inflation.

Loanable-Funds Illustration

• With zero expected inflation, equilibrium is $E<em>0$ (supply $S</em>0$, demand $D<em>0$) at, say, 4 %. • If expected inflation rises to 10 %, both supply and demand curves shift up by 10 percentage points (to $S</em>{10}$, $D<em>{10}$), moving equilibrium to $E</em>{10}$ at roughly 14 %.
• Quantity of loanable funds $Q^*$ is unchanged; only nominal rates rise.

Key Formulas Summary

• Money multiplier: $m = \frac{1}{R}$, where $R$ is the required reserve ratio.
• Maximum money creation: ${\text{Excess reserves}} \times m$.
• Equation of exchange (Quantity Theory): $M V = P Q$.
• Fisher relation: $i = r + \pi^{e}$.

These formulas underpin the analytical linkages among reserves, money supply, nominal spending, inflation, and interest rates, providing a concise toolkit for exam preparation.