Chapter 28 – Monetary Policy and Bank Regulation
The Federal Reserve — often just “the Fed” — wields enormous influence over the U.S. economy. By adjusting interest rates and credit conditions, the Fed can stimulate a sluggish economy or cool down an overheating one. This chapter explores how the Fed is organized, how it regulates banks, the tools it uses to conduct monetary policy, and the real-world pitfalls that make monetary policy an imprecise art.
Table of Contents
1. The Federal Reserve Banking System and Central Banks
1.1 What Is a Central Bank?
A central bank is the institution responsible for conducting a nation’s monetary policy (managing interest rates and credit conditions) and regulating its banking system. Prominent examples include the U.S. Federal Reserve, the European Central Bank, the Bank of Japan, and the Bank of England.
1.2 Structure of the Federal Reserve
The Fed is semi-decentralized, mixing government appointees with private-sector representation:
| Component | Details |
|---|---|
| Board of Governors | 7 members appointed by the President, confirmed by the Senate; 14-year staggered terms (one expires every even-numbered January); each member serves only one term |
| Chair | First among equals on the Board; controls the agenda and serves as the Fed’s public voice. Recent chairs: Alan Greenspan (1987–2006), Ben Bernanke (2006–2014), Janet Yellen (2014–2018), Jerome Powell (2018–present) |
| 12 Regional Federal Reserve Banks | Each serves a geographic district; commercial banks in each district elect a Board of Directors, who then choose a president for each regional bank |
Why 14-year terms? The long, staggered terms insulate the Board from political pressure, allowing governors to make decisions based on economic merits rather than election cycles. Fed policy decisions do not require congressional approval, and the President cannot ask a Fed Governor to resign.
1.3 Three Core Functions of the Fed
- Conduct monetary policy — managing interest rates and credit conditions
- Promote financial system stability — regulating banks and preventing systemic crises
- Provide banking services — to commercial banks (accounts, loans via “discount window,” check processing) and to the federal government (ensuring adequate currency circulation, consumer protection enforcement)
2. Bank Regulation
2.1 Why Regulate Banks?
Bank regulation maintains solvency and prevents excessive risk-taking. It falls into several categories:
| Type of Regulation | Purpose |
|---|---|
| Reserve requirements | Minimum percentage of deposits held as reserves |
| Capital requirements | Banks must maintain positive net worth (assets > liabilities) |
| Investment restrictions | Banks can make loans and buy Treasury securities but cannot invest in the stock market or other risky assets |
2.2 Bank Supervision
Multiple agencies monitor bank health:
| Agency | Responsibility |
|---|---|
| Office of the Comptroller of the Currency (OCC) | Supervises ~1,500 largest national banks and ~800 savings institutions |
| National Credit Union Administration (NCUA) | Supervises ~5,000 credit unions |
| Federal Reserve | Supervises bank holding companies (conglomerates that own banks and other businesses) |
| FDIC | Evaluates banks’ balance sheets for deposit insurance purposes |
Political challenges: Bank supervisors’ decisions to close or restructure risky banks are often controversial. Japan’s banks were in deep trouble throughout the 1990s, but political pressure prevented meaningful action for years. Similar patterns appeared before the 2008–2009 crisis in the U.S.
2.3 Bank Runs
A bank run occurs when depositors rush to withdraw their money, fearing the bank may fail. Because banks lend out most deposits and keep only limited reserves, even a healthy bank cannot survive a large-scale run. Bank runs are “self-fulfilling prophecies” — even false rumors can destroy a solvent bank.
In the 19th and early 20th centuries, bank runs were devastatingly common. They didn’t usually cause recessions but made them much worse by collapsing the payment system.
2.4 Two Defenses Against Bank Runs
1. Deposit Insurance (FDIC)
| Feature | Detail |
|---|---|
| Coverage | Up to $250,000 per depositor per account |
| Funding | Banks pay insurance premiums based on deposit levels and risk |
| Result | No insured depositor has lost money since deposit insurance was enacted in the 1930s |
| Scale | Covers ~4,914 banks (as of Q3 2021) |
2. Lender of Last Resort
The Fed stands ready to lend to solvent banks and financial institutions when they cannot obtain funds elsewhere. This prevents bank runs at healthy banks from spreading into systemic panic. Examples include emergency lending during the 1987 stock market crash, the 2008–2009 Great Recession, and the 2020 pandemic.
3. How a Central Bank Executes Monetary Policy
3.1 Two Environments: Limited vs. Ample Reserves
- Limited reserves environment (pre-2008): Banks held only the minimum required reserves; the Fed used three traditional tools
- Ample reserves environment (post-2008): Banks hold far more reserves than required; the Fed uses a newer tool (IORB)
Bank reserves surged from ~$15 billion in 2007 to $2.7 trillion by late 2014. In 2019, the FOMC formally acknowledged operating in an ample reserves environment. As of March 2020, reserve requirements were reduced to 0% for all depository institutions.
3.2 Three Traditional Tools (Limited Reserves)
Tool 1: Open Market Operations (Most Common)
Open market operations are central bank purchases or sales of U.S. Treasury bonds to influence bank reserves and interest rates. The specific rate targeted is the federal funds rate (FFR) — the interest rate banks charge each other for overnight loans.
The Federal Open Market Committee (FOMC) makes these decisions:
- 7 Board of Governors members + 5 rotating regional bank presidents (New York is permanent)
- Meets every six weeks (more frequently if needed)
How it works — Happy Bank example:
Fed BUYS $20M in bonds (expansionary):
- Happy Bank’s bonds ↓ $20M, reserves ↑ $20M
- Bank only wants $40M in reserves → lends the extra $20M
- More loans → money multiplier → money supply expands
- The Fed created the $20M “out of thin air” — a few keystrokes on a computer
Fed SELLS $30M in bonds (contractionary):
- Happy Bank’s reserves ↓ $30M, bonds ↑ $30M
- Bank needs to restore reserves → reduces loans by $30M (slows new lending)
- Fewer loans → money multiplier works in reverse → money supply contracts
Easy memory trick: Think of the central bank as outside the banking system.
- Fed buys bonds → money flows into banks → money supply ↑
- Fed sells bonds → money flows out of banks → money supply ↓
Tool 2: Discount Rate
The discount rate is the interest rate the Fed charges commercial banks for loans. Banks are expected to borrow from other banks first (at the federal funds rate); the discount rate is set higher than the FFR to discourage routine borrowing. In practice, few banks borrow at the discount window, so changes to the discount rate have limited direct impact.
Tool 3: Reserve Requirements
Raising reserve requirements → banks have less to lend → money supply contracts. Lowering them → more lending → money supply expands. The Fed rarely uses large changes because they would be extremely disruptive to banks. The pandemic was an exception — requirements were dropped to 0% in March 2020.
3.3 The Modern Tool: Interest on Reserve Balances (IORB)
The IORB (Interest on Reserve Balances) is the interest rate the Fed pays banks on their excess reserves. Congress authorized this in 2006; implementation was accelerated to 2008 due to the financial crisis.
How IORB controls the federal funds rate:
| FOMC wants to… | Action | Mechanism |
|---|---|---|
| Lower the FFR | Lowers the IORB | Banks move excess reserves out of the Fed and lend them in the federal funds market → increased supply pushes FFR down |
| Raise the FFR | Raises the IORB | Banks prefer to keep reserves at the Fed earning higher IORB → decreased supply in federal funds market pushes FFR up |
Arbitrage ensures alignment:
If IORB = 1.75% and FFR = 2%, banks borrow from the Fed at 1.75% (discount window) and lend in the federal funds market at 2%, earning a risk-free profit. This arbitrage increases supply in the funds market, pushing FFR down toward IORB. The process works in reverse when IORB rises above FFR.
3.4 Quantitative Easing (QE)
When interest rates hit near-zero, traditional tools reach the zero lower bound. The Fed turned to an unconventional approach:
Quantitative easing (QE) is the purchase of long-term government bonds and private mortgage-backed securities by central banks to make credit available and stimulate aggregate demand.
| Episode | Timing | Action |
|---|---|---|
| QE1 | Nov 2008 | $600 billion in mortgage-backed securities from Fannie Mae and Freddie Mac |
| QE2 | Nov 2010 | $600 billion in U.S. Treasury bonds |
| QE3 | Sep 2012–Oct 2014 | Initially $40B/month in MBS, increased to $85B/month; gradually tapered |
| “QE4” | Mar 2020 | Pandemic response — $2 trillion in asset purchases in just a few months; total Fed assets exceeded $8 trillion by end of 2021 |
Key difference from traditional policy: QE targeted long-term rates (not short-term) and purchased private mortgage-backed securities in addition to Treasuries — something the Fed had never done before. QE1 was considered somewhat successful; QE2 and QE3 less so.
4. Monetary Policy and Economic Outcomes
4.1 Expansionary vs. Contractionary Policy
| Policy | Also Called | Actions | Effect on Interest Rates | Effect on AD |
|---|---|---|---|---|
| Expansionary | Loose | Buy bonds / lower IORB / lower reserve requirements | ↓ Rates | AD shifts right → ↑ GDP, ↓ unemployment |
| Contractionary | Tight | Sell bonds / raise IORB / raise reserve requirements | ↑ Rates | AD shifts left → ↓ inflation |
4.2 The Transmission Mechanism
The following diagram shows the complete chain through which monetary policy affects the real economy:
Expansionary chain: Central bank action → ↑ Money supply & loanable funds → ↓ Interest rates → ↑ Business investment + ↑ Consumer borrowing (homes, cars) → AD shifts right → ↑ Price level + ↑ Real GDP (short run)
Contractionary chain: Central bank action → ↓ Money supply & loanable funds → ↑ Interest rates → ↓ Business investment + ↓ Consumer borrowing → AD shifts left → ↓ Price level + ↓ Real GDP (short run)
4.3 Countercyclical Policy
Monetary policy should be countercyclical — loosening during recessions and tightening during inflationary booms. The danger is overreaction: too-loose policy can trigger inflation; too-tight policy can trigger recession.
4.4 Ten Episodes of Fed Action (1970s–2020)
| Episode | Period | Situation | Fed Action | Outcome |
|---|---|---|---|---|
| 1 | Late 1970s | Inflation >10% | Raised FFR from 5.5% (1977) to 16.4% (1981) | Inflation fell to 3.2% by 1983; but back-to-back recessions (1980, 1981–82); unemployment hit 9.7% |
| 2 | Early 1980s | Inflation declining | Slashed FFR from 16.4% to 6.8% (1986) | Inflation fell to ~2%; unemployment dropped to 7% |
| 3 | Late 1980s | Inflation creeping up (2%→5%) | Raised FFR from 6.6% to 9.2% (1989) | Inflation fell below 3%; but 1990–91 recession, unemployment rose to 7.5% |
| 4 | Early 1990s | Inflation controlled | Cut FFR from 8.1% to 3.5% (1992) | Unemployment fell from 7.5% to <5% by 1997 |
| 5–6 | 1993–2000 | Inflation risk | Raised FFR (3%→5.8%, then 4.6%→6.5%) | Growth continued in 1990s; 2001 recession after 2000 tightening |
| 7–8 | 2000–2007 | Recession, deflation fear | Cut FFR to 1% (2003), then raised to 5% by 2007 | Recovery but slow employment gains; housing bubble inflated |
| 9 | 2008–2009 | Great Recession | Slashed FFR to near 0%; launched QE | Hit zero lower bound; required unconventional measures |
| 10 | 2020 | Pandemic recession | Cut FFR to 0–0.25% in weeks; massive QE | Economic recovery but inflation concerns emerged in 2021 |
5. Pitfalls for Monetary Policy
5.1 Long and Variable Lags
Monetary policy effects take 1 to 3 years to fully materialize through the chain: Fed perceives problem → meets and decides → policy percolates through banking system → changes loans/interest rates → businesses and consumers adjust → ripples through economy.
Implication: Central banks must be humble about taking action. Policy aimed at today’s problem may not take effect until conditions have already changed — potentially creating as much instability as it resolves.
5.2 Excess Reserves and the “Pushing on a String” Problem
Excess reserves are reserves banks hold above the legally mandated minimum. During recessions, banks may hoard reserves rather than lend, and borrowers may be reluctant to take on debt. The result: expansionary policy has little effect.
Central bankers’ old saying: Monetary policy is like pulling and pushing on a string:
- Pulling (contractionary) — definitely raises interest rates and reduces demand
- Pushing (expansionary) — the string may “fold up limp” if banks refuse to lend
Japan’s Lost Decade: By February 1999, the Bank of Japan had cut rates to 0%. From 2001–2003, it expanded the money supply by ~50%. Despite this enormous stimulus, aggregate demand barely responded, and Japan experienced extremely slow growth through the mid-2000s.
5.3 Unpredictable Velocity
Velocity of money measures how quickly money circulates through the economy:
\[V = \frac{\text{Nominal GDP}}{\text{Money Supply}}\]This gives us the basic quantity equation of money:
\[M \times V = P \times Q = \text{Nominal GDP}\]where M = money supply, V = velocity, P = price level, Q = real output.
Worked Example — Quantity Equation of Money:
An economy has $M = $2{,}000B$, $V = 5$, and $P = 100$ (base year).
Step 1: Find real GDP: $MV = PQ \Rightarrow 2{,}000 \times 5 = 100 \times Q \Rightarrow Q = 100$ ($100B in base-year dollars).
Step 2: The Fed increases M by 8% to $$2{,}160B$. Velocity stays constant. Real output grows 3% to $Q = 103$.
\[2{,}160 \times 5 = P \times 103 \Rightarrow P = \frac{10{,}800}{103} = 104.85\]Inflation rate: $\frac{104.85 - 100}{100} \times 100 = 4.85\%$
Key insight: The Fed increased $M$ by 8%, but only 3% went to real growth. The remaining $\approx 5\%$ became inflation. This is the fundamental monetary policy trade-off — any money growth beyond real output growth shows up as inflation.
General Rule: $\%\Delta M + \%\Delta V \approx \%\Delta P + \%\Delta Q$
\(8\% + 0\% \approx 4.85\% + 3\% \quad \checkmark\)
If velocity is stable, changes in M have predictable effects on nominal GDP. If velocity fluctuates unpredictably (as it has since the 1980s), monetary policy effects become uncertain.
Velocity calculation: In 2009, M1 = $1.7 trillion and nominal GDP = $14.3 trillion.
\[V = \frac{\$14.3T}{\$1.7T} = 8.4\]The average dollar changed hands 8.4 times that year.
Milton Friedman’s rule: In the 1970s, when velocity seemed predictable, Friedman advocated a constant 3% annual growth in money supply — matching real economic growth and removing central bank discretion. When velocity became unstable in the 1980s (due to financial innovation, electronic payments, credit cards), this approach lost favor, and central banks shifted to reacting to inflation and unemployment directly.
5.4 Deflation and the Zero Lower Bound
Deflation (negative inflation) creates a double problem:
-
Raises real interest rates: If nominal rate = 7% and deflation = 2%, then real rate = 9% (not 5%). Unexpected deflation increases borrowers’ burden → more defaults → bank losses → less lending → recession deepens.
-
Traps monetary policy: If nominal rate is already 0% and deflation is 5%, the real rate is 5% — and the central bank cannot make nominal rates negative (the zero lower bound).
Historical examples:
- U.S. 1930–1933: deflation of 6.7%/year contributed to the Great Depression
- Japan 1999–2002: mild deflation (~1%/year), economy still grew ~0.9%/year
- U.S. 1876–1900: deflation of 1.1%/year coexisted with 4% GDP growth
5.5 Inflation Targeting vs. Dual Mandate
| Approach | Description | Examples |
|---|---|---|
| Inflation targeting | Central bank legally required to focus primarily on keeping inflation low | 28 countries including Canada, UK, Brazil, Sweden, Australia |
| Dual mandate | Central bank must consider both inflation and unemployment | U.S. Federal Reserve — notable exception to inflation targeting |
The debate: Inflation targeters fear that political pressure for growth will lead to permanently loose policy and high inflation. Dual mandate supporters argue that ignoring unemployment during severe recessions is irresponsible and that the Fed’s tradition of independence provides adequate insulation from political pressure.
5.6 Asset Bubbles and Leverage Cycles
A leverage cycle occurs when good times encourage excessive borrowing → lending amplifies growth → asset prices (stocks, housing) rise unsustainably → when the cycle reverses, the credit contraction amplifies the downturn.
| Bubble | Rise | Fall |
|---|---|---|
| Dot-com (1994–2000) | Dow nearly tripled; Nasdaq ×5 | By 2009, Dow −20%, Nasdaq −50% from peaks |
| Housing (2003–2005) | Prices rose ~12%/year (vs. historic 6%) | 2007–2008 collapse → Great Recession |
Should the Fed pop bubbles? This is deeply controversial — no central bank wants to declare prices “too high” and face political backlash. But ignoring asset bubbles risks devastating crashes.
6. Key Takeaways
- The Federal Reserve is semi-decentralized: 7 Board of Governors (14-year terms) + 12 regional banks; designed to be insulated from political pressure
- Bank regulation includes reserve requirements, capital requirements, investment restrictions, and supervision by OCC, NCUA, FDIC, and the Fed itself
- Deposit insurance (FDIC, up to $250,000) and the lender of last resort role effectively ended bank runs at insured banks
- Three traditional tools (limited reserves): open market operations (most common), discount rate, reserve requirements
- Since 2008, the Fed operates in an ample reserves environment and primarily uses IORB to control the federal funds rate
- Quantitative easing purchases long-term bonds and MBS when rates hit the zero lower bound
- Expansionary policy (buy bonds → ↓ rates → ↑ AD) counters recessions; contractionary policy (sell bonds → ↑ rates → ↓ AD) fights inflation
- Policy should be countercyclical but faces pitfalls: long/variable lags, excess reserves, unstable velocity, zero lower bound, and asset bubbles
- The quantity equation $MV = PQ$ links money supply to nominal GDP; unpredictable velocity complicates policy
- The Fed has a dual mandate (inflation + unemployment), unlike most central banks that practice inflation targeting
7. Practice Questions
Q1. Why are Federal Reserve Governors given 14-year terms instead of terms that match the presidential election cycle?
Answer
Long, staggered terms **insulate** the Board from political pressure, allowing governors to make decisions based on economic merits rather than short-term political considerations. Each governor serves only one term, and appointments expire on a rotating schedule. The President cannot fire a Fed Governor. This independence is crucial because monetary policy decisions (especially raising rates during economic booms) can be politically unpopular.Q2. Why are bank runs called “self-fulfilling prophecies”?
Answer
Because **even false rumors** can destroy a healthy bank. Since banks lend out most deposits and keep only limited reserves, a rush of withdrawals will drain the bank's cash — regardless of whether the bank was actually in financial trouble. The *fear* of failure *causes* the failure. This is why deposit insurance is so important: it removes the incentive to panic.Q3. Explain the difference between open market operations and quantitative easing.
Answer
**Open market operations** (traditional): The Fed buys/sells *short-term* Treasury bills to adjust bank reserves and influence the federal funds rate. **Quantitative easing**: The Fed purchases *long-term* government bonds and *private* mortgage-backed securities, aiming to lower long-term interest rates when short-term rates have already hit the zero lower bound. QE also served to remove "toxic assets" from bank balance sheets during the 2008–2009 crisis.Q4. A central bank sells $500 million in Treasury bonds. A bank that buys them was exactly meeting a 10% reserve requirement on $10 billion in deposits. What happens to the bank’s loans and the money supply?
Answer
The bank sends $500M in reserves to the central bank and receives $500M in bonds. Its reserves are now $500M below the required minimum ($1 billion required on $10B deposits). To restore reserves, the bank must **reduce loans by $500 million** (by slowing new lending). As those funds are not redeposited elsewhere, the money multiplier works in reverse: total money supply decreases by up to $500M × (1/0.10) = **$5 billion**.Q5. How does the IORB help the FOMC lower the federal funds rate in an ample reserves environment?
Answer
If the FOMC lowers the IORB (e.g., from 2% to 1.75%), banks earn less from keeping reserves at the Fed. They move excess reserves into the federal funds market to earn the higher FFR (still at 2%). This **increases supply** in the federal funds market, pushing the FFR down. Additionally, by lowering the discount rate simultaneously, the Fed prevents banks from profiting through arbitrage — but the arbitrage activity itself also increases supply in the funds market, further lowering the FFR.Q6. Why is expansionary monetary policy described as “pushing on a string”?
Answer
Because during severe recessions, the central bank can increase reserves and lower rates, but it **cannot force banks to lend** or businesses/consumers to borrow. Banks may hoard excess reserves fearing loan defaults; borrowers may avoid debt fearing job losses. The policy "pushes" but the string (lending/borrowing) goes limp. This contrasts with contractionary policy ("pulling the string"), which always works — higher rates definitively reduce borrowing.Q7. If GDP is $1,500 billion and the money supply is $400 billion, what is velocity? If GDP rises to $1,600 billion with no change in money supply, what happens to velocity?
Answer
Initial velocity: $V = \frac{\$1{,}500B}{\$400B} = 3.75$ New velocity: $V = \frac{\$1{,}600B}{\$400B} = 4.0$ Velocity **increased from 3.75 to 4.0**, meaning each dollar circulated more times per year. This could reflect faster spending, increased economic activity, or financial innovation.Q8. Using the quantity equation, if M = $4 trillion, V = 3, and P increases from 100 to 110 after an $800 billion monetary stimulus, what is the change in real output?
Answer
**Before stimulus:** $MV = PQ$ → $4{,}000 \times 3 = 100 \times Q$ → $Q = 120$ billion **After stimulus:** $M = 4{,}800$, $V = 3$, $P = 110$ → $4{,}800 \times 3 = 110 \times Q$ → $Q = 130.9$ billion **Change in real output:** $130.9 - 120 = 10.9$ billion increaseQ9. During the Great Recession, the Fed cut rates to near 0% and launched QE. Yet the recovery was slow. Using concepts from this chapter, explain at least three reasons why.
Answer
1. **Excess reserves:** Banks hoarded reserves rather than lending — reserves surged from $15B to $2.7 trillion, meaning much of the stimulus sat idle. 2. **Long and variable lags:** Even effective monetary policy takes 1–3 years to fully impact the economy. 3. **Pushing on a string:** With consumer confidence shattered and housing values collapsed, consumers and businesses were reluctant to borrow even at low rates. 4. **Zero lower bound:** With rates already near zero, traditional open market operations were exhausted, requiring the untested QE approach which had diminishing returns (QE2 and QE3 were less effective than QE1).Q10. Should the Federal Reserve focus solely on inflation, or continue its dual mandate of both inflation and unemployment? Argue both sides.
Answer
**For inflation targeting:** The neoclassical view holds that in the long run, monetary policy only affects prices, not output. Political pressure will always push for loose policy, risking chronic inflation. A single, clear mandate reduces ambiguity and improves accountability. 28 countries successfully use this model. **For the dual mandate:** Ignoring unemployment during deep recessions (like 2008–2009 or 2020) is socially and economically irresponsible. The Fed's tradition of independence adequately insulates it from political pressure. The Keynesian view holds that in the short run, monetary policy genuinely affects output and employment — and "the short run" can last years when people are suffering.Q11. The nominal interest rate is 3% and there is deflation of 2%. What is the real interest rate? Why does this create problems for monetary policy?
Answer
Real interest rate = Nominal rate − Inflation rate = 3% − (−2%) = **5%**. Deflation *raises* real interest rates, making borrowing more expensive than borrowers expected. This leads to more defaults, bank losses, and reduced lending. Worse, if the central bank cuts the nominal rate to 0%, the real rate is still 2% (0% − (−2%) = 2%). The central bank **cannot push nominal rates below zero**, so it cannot reduce real interest rates further. This is the zero lower bound problem — deflation traps monetary policy.Q12. An economy has $M = $3{,}000B$, $V = 4$, and $P = 120$.
(a) Calculate real GDP ($Q$) and nominal GDP.
(b) The central bank increases $M$ by 10% to fight a recession. If $V$ drops by 3% (banks hoarding reserves) and real output grows only 2%, what is the new price level? What is the inflation rate?
(c) Why did velocity fall? How does this illustrate the “pushing on a string” problem?
Answer
**(a)** $MV = PQ \Rightarrow 3{,}000 \times 4 = 120 \times Q \Rightarrow Q = 100$. Nominal GDP $= 3{,}000 \times 4 = \$12{,}000B$. **(b)** New values: $M = 3{,}300$, $V = 4 \times 0.97 = 3.88$, $Q = 100 \times 1.02 = 102$. $3{,}300 \times 3.88 = P \times 102 \Rightarrow P = \frac{12{,}804}{102} = 125.5$ Inflation: $\frac{125.5 - 120}{120} \times 100 = 4.6\%$ Nominal GDP rose to $12,804B (+6.7%), but only 2% was real growth and 4.6% was inflation. **(c)** Velocity fell because banks hoarded the new reserves as excess reserves rather than lending them out (fear of defaults in the recession). This is the "pushing on a string" problem: the Fed pushed $M$ up by 10%, but velocity offset 3%, so the effective stimulus was only ~7%, and most of that became inflation rather than real growth.Q13. The Taylor Rule is a formula economists use to estimate what the federal funds rate should be:
\[FFR = r^* + \pi + 0.5(\pi - \pi^*) + 0.5(Y - Y^*)\]where $r^* = 2\%$ (equilibrium real rate), $\pi$ = actual inflation, $\pi^* = 2\%$ (target inflation), $Y - Y^*$ = output gap (% deviation of actual from potential GDP).
(a) Calculate the recommended FFR when $\pi = 5\%$ and $Y - Y^* = +1\%$ (overheating).
(b) Calculate the recommended FFR when $\pi = 1\%$ and $Y - Y^* = -4\%$ (deep recession).
(c) What problem does the answer to (b) illustrate? How did the Fed respond to this problem in 2008–2015?
Answer
**(a)** $FFR = 2\% + 5\% + 0.5(5\% - 2\%) + 0.5(1\%) = 2 + 5 + 1.5 + 0.5 = 9.0\%$. The Taylor Rule recommends aggressive tightening — consistent with Volcker-era policy. **(b)** $FFR = 2\% + 1\% + 0.5(1\% - 2\%) + 0.5(-4\%) = 2 + 1 - 0.5 - 2 = 0.5\%$. With slightly different parameters (output gap of -6%), the rule would recommend a **negative** FFR — which is impossible. **(c)** This illustrates the **zero lower bound** problem. When the Taylor Rule implies a negative rate, traditional monetary policy is exhausted. The Fed responded with: - Cutting FFR to 0–0.25% (as close to zero as possible) - **QE1–QE3**: purchasing $4+ trillion in long-term bonds and MBS to lower long-term rates - **Forward guidance**: committing to keep rates near zero "for an extended period" to reduce uncertainty - **IORB**: paying interest on reserves to maintain a floor under the FFR even with massive excess reservesQ14. Case Study — The 2022–2023 Inflation and Fed Response:
U.S. inflation hit 9.1% in June 2022 — the highest in 40 years. The Fed raised the FFR from 0–0.25% to 5.25–5.50% in just 16 months (the fastest tightening cycle since the early 1980s).
(a) Using the Taylor Rule with $\pi = 9.1\%$, $\pi^* = 2\%$, and $Y - Y^* = +2\%$ (overheating), what FFR does the formula recommend? How does this compare to where the Fed actually set rates?
(b) Three banks failed in March 2023 (Silicon Valley Bank, Signature Bank, First Republic). Use the asset-liability mismatch concept from Chapter 27 to explain why rapid rate hikes caused these failures.
(c) Did the Fed achieve a “soft landing” (reducing inflation without causing a recession)? What evidence supports your answer?
Answer
**(a)** $FFR = 2\% + 9.1\% + 0.5(9.1\% - 2\%) + 0.5(2\%) = 2 + 9.1 + 3.55 + 1 = 15.65\%$. The Taylor Rule recommends ~15.65%, far above the Fed's actual peak of 5.25–5.50%. This gap suggests the Fed was less aggressive than the formula would dictate — reflecting concern about causing a financial crisis or deep recession. **(b)** SVB, Signature, and First Republic loaded up on long-term bonds during the 0% rate era. When the Fed hiked rates rapidly: 1. Their bond portfolios lost massive value (bond prices fall when rates rise) 2. Depositors (many with >$250K, uninsured) demanded higher returns or withdrew funds 3. Banks had to sell bonds at huge losses to meet withdrawals → **asset-liability mismatch** became fatal 4. SVB lost $1.8B selling bonds, triggering a classic bank run in 48 hours (accelerated by social media) **(c)** Evidence suggests a partial soft landing: - **Success:** Inflation fell from 9.1% to ~3.2% by late 2023, while unemployment remained below 4% and GDP growth stayed positive — no official recession - **Costs:** Three significant bank failures, a housing market freeze (30-year mortgage rates hit 8%), and ongoing discussion about whether the "last mile" from 3% to 2% inflation will be harder - **Verdict:** More successful than the Volcker disinflation (which caused two recessions), but inflation remained above the 2% target, and the full effects of rate hikes may still be working through the economy given the 1–3 year lag8. Glossary
| Term | Definition |
|---|---|
| Asset bubble | Unsustainable rise in asset prices (stocks, housing) driven by speculation and leverage |
| Bank run | Depositors racing to withdraw money for fear the bank will fail |
| Basic quantity equation of money | $MV = PQ$ (money supply × velocity = price level × real output) |
| Central bank | Institution conducting monetary policy and regulating the banking system |
| Contractionary (tight) monetary policy | Reduces money supply and loans; raises interest rates |
| Countercyclical | Policy that moves opposite to the business cycle — loosening in downturns, tightening in upswings |
| Deposit insurance | Insurance (FDIC in U.S.) guaranteeing bank deposits up to $250,000 |
| Discount rate | Interest rate the Fed charges commercial banks for loans |
| Excess reserves | Reserves banks hold above the legally mandated minimum |
| Expansionary (loose) monetary policy | Increases money supply and loans; lowers interest rates |
| Federal funds rate (FFR) | Interest rate banks charge each other for overnight loans; the Fed’s primary interest rate target |
| FOMC | Federal Open Market Committee — sets monetary policy; 7 governors + 5 rotating regional bank presidents |
| Inflation targeting | Central bank legally required to focus primarily on keeping inflation low |
| IORB | Interest on Reserve Balances — the rate the Fed pays banks on their reserves; primary tool in ample reserves environment |
| Lender of last resort | Central bank providing emergency loans to prevent systemic collapse |
| Leverage cycle | Alternating periods of excessive borrowing (boom) and credit contraction (bust) |
| Open market operations | Central bank buying/selling Treasury bonds to influence reserves and interest rates |
| Quantitative easing (QE) | Purchase of long-term government and private securities when rates are at the zero lower bound |
| Reserve requirement | Percentage of deposits banks must hold as reserves |
| Velocity of money | Speed at which money circulates: $V = \frac{\text{Nominal GDP}}{M}$ |
| Zero lower bound | The practical floor of 0% on nominal interest rates, beyond which traditional monetary policy is ineffective |