The Monetary System Notes

Money

What is Money?

  • "Money" is the economic term for assets widely used to make and receive payments for goods and services.
  • Money forms have varied: shells, gold, cigarettes.

Functions of Money in a Modern Economy:

  1. Medium of Exchange: Money facilitates trade by being traded for goods and services.
    • Barter is inefficient due to the difficulty and time-consuming nature of finding a trading partner (double coincidence of wants).
    • Money offers a universally acceptable way of trading, reducing time and effort.
    • Money enables specialization, removing the need for individuals to produce all their necessities (food, clothing, shelter).
  2. Unit of Account: Money serves as a standard yardstick for expressing the relative prices of goods and services.
    • Since goods and services are commonly exchanged for money, it's natural to express economic value in monetary terms.
  3. Store of Value: Money allows people to transfer purchasing power into the future.
    • While other assets may offer higher returns, money also serves as a medium of exchange.
    • Most people use money as a short-term store of value for small amounts due to lower interest earnings compared to bank deposits.

Fiat Money

  • The U.S. dollar and other national currencies are examples of fiat money.
  • Definition: An asset used as legal tender by government decree, not backed by a physical commodity like gold.
  • In theory, any object with a limited supply could function as fiat money.

Measures of Money

  • Two main official measures of money stock (monetary aggregates):
    1. M1: Narrowest definition, includes currency in circulation, traveler’s checks, and checking account balances.
      • All components are used in payments, making M1 the closest to the theoretical description of money.
    2. M2: Includes everything in M1 plus savings deposits, small time deposits (less than 100,000100,000), and money market deposit accounts.

Money, Prices, and GDP

  • Velocity: the circulation rate of money
  • Nominal GDP = 17.3117.31 trillion
  • Money supply = 11.4911.49 trillion
  • Velocity = Nominal GDP / Money supply = 17.3117.31 trillion / 11.4911.49 trillion = 1.51.5
  • Money supply / Nominal GDP = 11.4911.49 trillion / 17.3117.31 trillion = 0.66$

Gross Domestic Product (GDP)

  • GDP Definition: The market value of final goods and services produced within a country's borders during a specific period.
  • Key aspects to know:
    • Quantity produced
    • Value of the production (price)

Nominal vs. Real GDP

  • Nominal GDP: Total value of production using prices from the same year the output was produced.
  • Real GDP: Total value of production using fixed prices from a particular base year.
  • Growth rate of nominal GDP = Growth rate of real GDP + Growth rate of prices
  • Growth rate of nominal GDP = Growth rate of real GDP + Inflation rate

The Quantity Theory of Money

  • Assumes that the circulation rate of money (velocity) is constant in the long run: Velocity = Nominal GDP / Money Supply = constant
  • A constant ratio implies that money and nominal GDP grow at the same rate:
  • Growth rate of money supply = Growth rate of nominal GDP

Quantity Theory Equation

  • Growth rate of money supply = Inflation rate + Growth rate of real GDP
  • Rearranging terms, the quantity theory predicts the rate of inflation:
  • Inflation rate = Growth rate of money supply – Growth rate of real GDP
  • Inflation = gap between money supply growth rate and GDP growth rate.

Inflation

Causes of Inflation

  • The quantity theory of money suggests inflation occurs when the growth rate of the money supply exceeds the growth rate of real GDP.
  • Inflation rate = Growth rate of money supply – Growth rate of real GDP

Distinctions

  • Inflation: A situation of rising prices.
  • Deflation: A situation of falling prices (negative inflation).
  • Hyperinflation: Extreme inflation where prices double within three years.

Effects of Inflation

  • Not all prices and wages move together under inflation.
  • Some relative prices, including real wages and real interest rates, can change.
  • This leads to winners (those benefiting from unexpected gains) and losers (those suffering from unexpected losses).

Real Interest Rate

  • The annual real or inflation-adjusted cost of a 1 loan.
  • Accounts for the decline in the value of one dollar due to the increase in the overall price level.
  • Fisher Equation: r = i – π
    • r = real interest rate
    • i = nominal interest rate
    • π = inflation rate
  • Optimizing economic agents compare what they pay back to what they borrowed, adjusting the dollars borrowed for a year’s worth of inflation.

Winners and Losers from Unexpected Inflation

  • Winners:
    1. Homeowner paying a mortgage at a fixed nominal interest rate.
    2. Firm owners (shareholders) paying wages not indexed for inflation.
  • Losers:
    1. Bank receiving mortgage payments at a fixed nominal interest rate.
    2. Worker receiving a wage not indexed for inflation.
    3. Retiree receiving a pension not indexed for inflation.

Social Benefits of Inflation

  1. Generating government revenue from printing currency (seigniorage).
  2. Stimulating economic activity:
    • A fall in the real wage increases firms’ willingness to employ workers.
    • Increases in the price of output shift the labor demand to the right.

Social Costs of Inflation

  1. Inflation Tax: Decline in the value of cash holdings due to inflation.
  2. Raising logistical costs: frequent price changes (menu costs).
  3. Distorting relative prices.
  • Inflation can lead to counterproductive policies such as price controls (higher prices in the underground economy).

Costs Associated with Deflation

  • High real interest rates that can’t be offset by lowering the nominal interest rate.
  • Real burden of debt, which is fixed in nominal terms, rises when prices fall.

German Hyperinflation of 1922–1923

  • Historical timeline and money supply data

Historical Timeline

  • 1919: Germany signs the Treaty of Versailles, ending World War I.
    • The treaty imposed large reparation payments.
  • 1923: Post-war Germany did not make the payments, and France occupied the Ruhr.
    • Germany could only meet 8% of its obligations with tax collections.</li>\n<li>The rest was paid by borrowing from the public and printing money.</li></ul></li>\n</ul>\n<h4 id="germanhyperinflationdatajanuary19221">German Hyperinflation Data (January 1922 = 1)</h4>\n<table>\n<thead>\n<tr>\n<th style="text-align:left;"></th>\n<th style="text-align:left;">Currency</th>\n<th style="text-align:left;">Prices</th>\n<th style="text-align:left;">Inflation (% per month)</th>\n</tr>\n</thead>\n<tbody>\n<tr>\n<td style="text-align:left;">Jan 1922</td>\n<td style="text-align:left;">1</td>\n<td style="text-align:left;">1</td>\n<td style="text-align:left;">5</td>\n</tr>\n<tr>\n<td style="text-align:left;">Jan 1923</td>\n<td style="text-align:left;">6</td>\n<td style="text-align:left;">75</td>\n<td style="text-align:left;">189</td>\n</tr>\n<tr>\n<td style="text-align:left;">July 1923</td>\n<td style="text-align:left;">354</td>\n<td style="text-align:left;">2,021</td>\n<td style="text-align:left;">386</td>\n</tr>\n<tr>\n<td style="text-align:left;">Sept 1923</td>\n<td style="text-align:left;">227,777</td>\n<td style="text-align:left;">645,946</td>\n<td style="text-align:left;">2,532</td>\n</tr>\n<tr>\n<td style="text-align:left;">Oct 1923</td>\n<td style="text-align:left;">20,201,256</td>\n<td style="text-align:left;">191,891,890</td>\n<td style="text-align:left;">29,720</td>\n</tr>\n</tbody>\n</table>\n<h4 id="causeofgermanhyperinflation">Cause of German Hyperinflation</h4>\n<ul>\n<li>The German government could not make reparation payments to the Allies after World War I.</li>\n<li>As the German economy struggled, the government printed more currency to pay its bills.</li>\n<li>Examples: Zimbabwe in the early 2000s and Venezuela currently face similar problems.</li>\n</ul>\n<h3 id="thefederalreserve">The Federal Reserve</h3>\n<h4 id="roleofthecentralbank">Role of the Central Bank</h4>\n<ul>\n<li>The central bank is the government institution that:<ul>\n<li>Monitors financial institutions</li>\n<li>Controls certain key interest rates</li>\n<li>Indirectly controls the money supply</li></ul></li>\n<li>These activities are known as monetary policy.</li>\n<li>The Federal Reserve Bank (the Fed) is the central bank of the United States.</li>\n</ul>\n<h4 id="dualmandateofthefederalreserve">Dual Mandate of the Federal Reserve</h4>\n<ul>\n<li>The Fed uses monetary policy to pursue two key goals:<ol>\n<li>Low and predictable levels of inflation</li>\n<li>Maximum (sustainable) levels of employment</li></ol></li>\n</ul>\n<h4 id="activitiesofthecentralbanktoachievedualmandate">Activities of the Central Bank to Achieve Dual Mandate</h4>\n<ul>\n<li>Regulation</li>\n<li>Interbank Transfers</li>\n<li>Management of Macroeconomic Fluctuations by Manipulating the Quantity of Bank Reserves</li>\n</ul>\n<h4 id="regulation">Regulation</h4>\n<ul>\n<li>The central bank is the key regulator of banks, particularly large banks.<ul>\n<li>Audits the financial statements of large banks</li>\n<li>Monitors the amount of shareholders’ equity of these large private banks</li>\n<li>Requires them to perform a “stress test” periodically</li></ul></li>\n</ul>\n<h4 id="interbanktransfers">Interbank Transfers</h4>\n<ul>\n<li>The central bank oversees interbank payments.</li>\n<li>Transactions processed by using bank reserves held at the central bank (e.g., bank transfers, check deposits).</li>\n</ul>\n<h4 id="managementofmacroeconomicfluctuationsbymanipulatingthequantityofbankreserves">Management of Macroeconomic Fluctuations by Manipulating the Quantity of Bank Reserves</h4>\n<ul>\n<li>The central bank manipulates the quantity of bank reserves to:<ol>\n<li>Influence short-term interest rates, especially the federal funds rate.</li>\n<li>Influence the money supply and the inflation rate.</li>\n<li>Influence long-term real interest rates.</li></ol></li>\n</ul>\n<h3 id="bankreservesandtheplumbingofthemonetarysystem">Bank Reserves and the Plumbing of the Monetary System</h3>\n<h4 id="objectives">Objectives</h4>\n<ul>\n<li>Understand the role of bank reserves in the economy.</li>\n<li>Discuss why and how bank reserves are traded and derive the demand curve for reserves.</li>\n<li>Explain how the central bank manipulates the supply of reserves through the federal funds market.</li>\n<li>Explain the workings of the federal funds market and show how the central bank can influence interest rates, money supply, and inflation.</li>\n</ul>\n<h4 id="bankreserves">Bank Reserves</h4>\n<ul>\n<li>Bank reserves are the combination of deposits that private banks hold at the central bank and cash in their vaults.</li>\n<li>Bank reserves provide liquidity to private banks.</li>\n<li>Liquidity refers to funds (and assets) that can be used immediately to conduct transactions.</li>\n</ul>\n<h4 id="federalfundsmarket">Federal Funds Market</h4>\n<ul>\n<li>The market where banks borrow and lend reserves to one another.</li>\n</ul>\n<h4 id="federalfundsrate">Federal Funds Rate</h4>\n<ul>\n<li>The overnight (24-hour) interest rate charged in this market.</li>\n<li>Supply and demand model determines the federal funds rate.</li>\n</ul>\n<h4 id="demandcurveforreserves">Demand Curve for Reserves</h4>\n<ul>\n<li>Plots the total quantity of reserves demanded by private banks for each level of the federal funds rate.</li>\n<li>The demand curve slopes downward because optimizing banks choose to hold more reserves as the cost of those reserves—the federal funds rate—falls.</li>\n</ul>\n<h4 id="shiftsinthedemandcurveforbankreserves">Shifts in the Demand Curve for Bank Reserves</h4>\n<ul>\n<li>The demand curve for bank reserves shifts when one of the following changes occurs:<ol>\n<li>Economic expansion or contraction</li>\n<li>Changing liquidity needs</li>\n<li>Changing deposit base</li>\n<li>Changing reserve requirement</li>\n<li>Changing interest paid by the Fed for deposits at the Fed</li></ol></li>\n</ul>\n<h4 id="example1economicexpansion">Example 1: Economic Expansion</h4>\n<ul>\n<li>Firms borrow more to fund their expansion plans, increasing banks' need to obtain more liquidity to make more loans.</li>\n<li>The demand curve in the federal funds market shifts to the right.</li>\n</ul>\n<h4 id="example2economiccontractions">Example 2: Economic Contractions</h4>\n<ul>\n<li>Businesses and households borrow less, reducing the need for private banks to obtain liquidity to make more loans.</li>\n<li>The demand curve in the federal funds market shifts to the left.</li>\n</ul>\n<h4 id="supplycurveforreserves">Supply Curve for Reserves</h4>\n<ul>\n<li>Plots the quantity of reserves supplied by the Federal Reserve through open market operations.</li>\n<li>The supply curve is vertical because the Federal Reserve supplies reserves not to earn economic profits but rather to pursue monetary policy.</li>\n</ul>\n<h4 id="openmarketoperations">Open Market Operations</h4>\n<ul>\n<li>In an open market purchase, the Fed buys government bonds from private banks and gives the private banks more reserves.</li>\n<li>In an open market sale, the Fed sells government bonds to private banks, and the private banks give some of their reserves.</li>\n</ul>\n<h4 id="federalreservestrategiesforimplementingmonetarypolicy">Federal Reserve Strategies for Implementing Monetary Policy</h4>\n<ol>\n<li>The Federal Reserve can keep reserves fixed, even when the demand curve shifts, and thus allow the federal funds rate to fluctuate.</li>\n<li>The Federal Reserve can supply more or less reserves to keep the federal funds rate constant (targets the federal funds rate).</li>\n</ol>\n<h4 id="federalreservecontrol">Federal Reserve Control</h4>\n<ul>\n<li>The Federal Reserve can control either the quantity of reserves or the federal funds rate (the price) but not both.</li>\n<li>The Fed has followed the second strategy for the past 35 years.</li>\n<li>The Fed periodically raises and lowers its federal funds target to meet its dual objectives of low inflation and maximum employment.</li>\n</ul>\n<h4 id="fedscontrolofthefederalfundsrate">Fed’s Control of the Federal Funds Rate</h4>\n<ul>\n<li>The Fed can influence the federal funds rate by either shifting the quantity of reserves supplied or by shifting the demand for reserves.</li>\n<li>The Fed can shift the demand for reserves by changing the reserve requirement and by changing the interest paid on bank reserves.</li>\n<li>The Fed can shift the supply curve of reserves through open market operations.</li>\n</ul>\n<h4 id="influencingmoneysupplyandinflationrate">Influencing Money Supply and Inflation Rate</h4>\n<ul>\n<li>The Fed cannot directly control either the money supply or the inflation rate.</li>\n<li>The money supply is the sum of currency in circulation plus deposits at banks by households and firms (it does not include bank reserves).</li>\n<li>In the long run, inflation is equal to the growth rate of money minus the growth rate of real GDP.</li>\n</ul>\n<h4 id="fedactions">Fed Actions</h4>\n<ul>\n<li>The Fed can increase the supply of bank reserves through open market purchases of treasury bonds, thereby decreasing the federal funds rate.</li>\n<li>The Fed can decrease the supply of bank reserves through an open market sale of treasury bonds, thereby increasing the federal funds rate.</li>\n</ul>\n<h4 id="pathfromreservestoinflation">Path from Reserves to Inflation</h4>\n<ul>\n<li>By increasing the supply of bank reserves, the Fed lowers the federal funds rate.</li>\n<li>The lower FFR decreases long-term interest rates, increasing the demand for loans by households and firms.</li>\n<li>This increases the number of bank loans, increasing the growth of money supply and thus inflation.</li>\n</ul>\n<h4 id="oppositescenario">Opposite Scenario</h4>\n<ul>\n<li>The opposite happens when the Fed decreases the supply of bank reserves.</li>\n<li>The Fed attempts to slow down the growth rate of the money supply by slowing the loans from private banks to households and firms.</li>\n<li>By raising the federal funds rate, the Fed increases long-term interest rates, lowering the demand for loans by households and firms, reducing the growth of money supply and thus inflation.</li>\n</ul>\n<h4 id="policiestoreducegrowthrateofmoneyandinflationrate">Policies to Reduce Growth Rate of Money and Inflation Rate</h4>\n<ul>\n<li>Paying higher interest on reserves, open market sales, and increased reserve requirements reduce the growth rate of money and the inflation rate.</li>\n</ul>\n<h4 id="influenceoverlongterminterestrates">Influence Over Long-Term Interest Rates</h4>\n<ul>\n<li>The Fed’s management of bank reserves influences long-term interest rates by altering inflationary expectations:<ul>\n<li>Real interest rate = Nominal interest rate – Inflation rate</li></ul></li>\n</ul>\n<h4 id="typesofrealinterestrates">Types of Real Interest Rates</h4>\n<ul>\n<li>Expected real interest rate = Nominal interest rate – Expected inflation rate</li>\n<li>Realized real interest rate = Nominal interest rate – Realized inflation rate</li>\n</ul>\n<h4 id="investmentdecisions">Investment Decisions</h4>\n<ul>\n<li>Investment decisions depend on long-term expected real interest rates.</li>\n<li>Long-term indicates 10 years or more.</li>\n<li>The expected real interest rate is the nominal interest rate minus expected inflation.</li>\n</ul>\n<h4 id="impactofmonetarypolicy">Impact of Monetary Policy</h4>\n<ul>\n<li>Monetary policy in the form of open market operations can impact long-term interest rates.</li>\n<li>Think of a 10-year loan rate as 10 1-year loans lined up one after the other.</li>\n</ul>\n<h4 id="questionsandanswersexample">Questions and Answers (Example)</h4>\n<ul>\n<li>What is the nominal 10-year interest rate for a federal funds rate target of4%?<ul>\n<li>Nominal 10-year interest rate =4.0%</li></ul></li>\n<li>What is the nominal 10-year interest rate for a federal funds rate of3% for the first two years and4% afterward?<ul>\n<li>Nominal 10-year interest rate =3.8%</li></ul></li>\n<li>What would be the real 10-year interest rate if inflationary expectations remained at2%?<ul>\n<li>10-year real interest rate = 10-year nominal interest rate – Inflationary expectations</li>\n<li>10-year real interest rate =4.0% –2.0% =2.0%</li>\n<li>10-year real interest rate =3.8% –2.0% =1.8%</li></ul></li>\n</ul>\n<h4 id="reductionoffederalfundsrate">Reduction of Federal Funds Rate</h4>\n<ul>\n<li>The Fed can reduce the short-term federal funds rate to lower long-term expected real interest rates.</li>\n<li>A1% reduction in the federal funds rate target translates into a less than1$$% reduction in long-term expected real interest rates.
    • In most cases, inflationary expectations stay about the same.

    Key Ideas

    1. Money has three key roles: serving as a medium of exchange, a store of value, and a unit of account.
    2. The quantity theory of money describes the relationship between the money supply, velocity, prices, and real GDP.
    3. The quantity theory of money predicts that the inflation rate will equal the growth rate of the money supply minus the growth rate of real GDP.
    4. The Federal Reserve, the U.S. central bank, has a dual mandate—low inflation and maximum employment.
    5. The Federal Reserve holds the reserves of private banks.
    6. The Federal Reserve’s management of private bank reserves enables the Fed to do three things:
      • Set a key short-term interest rate
      • Influence the money supply and the inflation rate
      • Influence long-term real interest rates.