Interest Rates and Monetary Policy: Study Notes for Macroeconomics

Interest Rates and Monetary Policy

Money Demand

The demand for money is a central concept in macroeconomics, reflecting the reasons individuals and businesses hold money rather than other assets. The Federal Reserve (Fed) primarily influences the money supply and interest rates, which in turn affect economic activity.

• Interest: The price paid for the use of money; the cost borrowers pay to lenders for transferring purchasing power to the future.

• Three Motives for Money Demand:

  1. Transaction Demand: Money needed to buy goods and services. Determined mainly by the level of nominal GDP.

  2. Asset (Speculative) Demand: Money held as a store of value for investment opportunities or luxury items. Money is the most liquid asset.

  3. Precautionary Demand: Money held for emergencies.

• Transaction Demand and Precautionary Demand: Assumed to depend on nominal GDP and not on the interest rate.

• Asset Demand: Depends inversely on the interest rate due to opportunity cost. Higher interest rates make holding money less attractive compared to bonds or other assets.

• Total Money Demand: Sum of transaction, asset, and precautionary demands.

• Money Demand Curve: Downward sloping with respect to the interest rate, reflecting the inverse relationship between asset demand and interest rate.

Example: If nominal GDP increases, transaction demand for money rises. If interest rates rise, asset demand for money falls.

Supply Curve for Money and Equilibrium Interest Rate

The supply of money is determined by the central bank and is assumed to be independent of the interest rate, resulting in a vertical supply curve. The equilibrium interest rate is found where the money demand and money supply curves intersect.

• Decrease in Money Supply: Raises the equilibrium interest rate.

• Increase in Money Supply: Lowers the equilibrium interest rate.

Formula:

$\text{Equilibrium Interest Rate: Where Money Demand = Money Supply}$

Financial Securities, Interest Rates, and Bond Prices

Financial securities are tradable assets such as stocks and bonds. The relationship between interest rates and bond prices is fundamental in finance and macroeconomics.

• Securities: Tradable financial assets (stocks, bonds).

• Debt Securities: Promise repayment at a specific date and interest rate (e.g., bonds).

• Equity Securities: Represent ownership in a corporation (e.g., stocks).

• Bonds: Financial instruments obligating the issuer to pay principal and interest.

• Coupon Payments: Interest payments made to bondholders.

• Face Value: The nominal value paid at maturity.

• Inverse Relationship: When interest rates rise, bond prices fall; when interest rates fall, bond prices rise.

Example: If a bond pays $50 annually and sells for $1000, its yield is:

$\frac{50}{1000} = 5\%$

If interest rates rise to 7.5%, new bonds pay $75. The old bond's price must fall to:

$\frac{50}{667} \approx 7.5\%$

Additional info: This illustrates how bond prices adjust to maintain competitive yields.

Tools of Monetary Policy

The Federal Reserve uses several tools to influence the money supply and achieve macroeconomic goals.

• Open Market Operations (OMO): Buying and selling government securities to increase or decrease the money supply.

• Changing the Reserve Ratio: Adjusting the percentage of deposits banks must hold in reserve. Lowering the ratio increases money supply; raising it decreases money supply.

• Changing the Discount Rate: The interest rate charged to banks for short-term loans. Lowering the rate increases money supply; raising it decreases money supply.

• Quantitative Easing: Central bank purchases of financial assets to increase money supply when standard policy is ineffective.

• Term Auction Facility: Banks bid for the right to borrow reserves for set periods; the Fed allocates reserves based on bids.

Example: The Fed buys government bonds to inject money into the economy, lowering interest rates and stimulating spending.

Targeting the Federal Funds Rate

The Federal Reserve targets the federal funds rate, the interest rate at which banks lend reserves to each other overnight. This rate influences other interest rates and is central to monetary policy.

• Federal Funds Rate: The rate at which depository institutions lend balances at the Federal Reserve to each other overnight.

• Federal Funds Market: Where banks and financial entities borrow and lend funds, typically overnight.

• Open Market Operations: Used to manipulate the supply of reserves and target the federal funds rate.

Example: By buying bonds, the Fed increases reserves, lowering the federal funds rate.

Monetary Policy, Real GDP, and the Price Level

Monetary policy affects real GDP and the price level by influencing interest rates, which in turn affect aggregate demand.

• Expansionary Monetary Policy: Lowers interest rates to increase borrowing and spending, raising aggregate demand and real output.

  • Lower reserve requirement

  • Lower discount rate

  • Buy government bonds

• Restrictive Monetary Policy: Raises interest rates to reduce borrowing and spending, curtailing aggregate demand and controlling inflation.

  • Increase reserve ratio

  • Increase discount rate

  • Sell government bonds

• Taylor Rule: A guideline for setting the federal funds rate based on inflation and real GDP relative to potential GDP.

  • Target inflation rate: 2%

  • When real GDP equals potential GDP and inflation is at 2%, federal funds rate should be 4% (implying a real rate of 2%).

  • For each 1% increase in real GDP above potential, raise real federal funds rate by 0.5 percentage points.

  • For each 1% increase in inflation above target, raise real federal funds rate by 0.5 percentage points.

Formula (Taylor Rule):

$\text{Federal Funds Rate} = \text{Inflation Rate} + 0.5 \times (\text{GDP Gap}) + 0.5 \times (\text{Inflation Gap}) + 2$

Additional info: The Taylor rule helps guide policy decisions to stabilize the economy.

Effect of Monetary Policy on the Economy

Monetary policy triggers a chain reaction affecting output, unemployment, and inflation.

• Changes in money supply → changes in interest rates → changes in investment → changes in aggregate demand → changes in real GDP and price level.

Formula:

$\text{Money Supply} \rightarrow \text{Interest Rate} \rightarrow \text{Investment} \rightarrow \text{Aggregate Demand} \rightarrow \text{Real GDP, Price Level}$

Monetary Policy: Evaluation and Issues

Monetary policy is a key tool for economic stabilization, with advantages and limitations compared to fiscal policy.

• Advantages:

  • Speed and Flexibility: Can be quickly altered; the Fed can buy or sell securities daily.

  • Isolation from Political Pressure: Fed governors serve long terms, reducing political influence.

  • Subtlety: Monetary policy changes are less noticeable to the public than fiscal policy.

• Problems and Complications:

  • Lags:

    • Recognition Lag: Delay in identifying economic changes.

    • Operational Lag: 3-6 months for policy effects to materialize.

  • Cyclical Asymmetries: More effective at slowing expansions and controlling inflation than at stimulating recovery from recessions.

Example: Restrictive policy can quickly reduce bank reserves and lending, but expansionary policy may not always stimulate lending and economic activity.

Summary Table: Tools of Monetary Policy

Tool	Mechanism	Effect on Money Supply
Open Market Operations	Buy/Sell government securities	Buy increases, Sell decreases
Reserve Ratio	Change required reserves	Lower increases, Raise decreases
Discount Rate	Change rate for bank loans	Lower increases, Raise decreases
Quantitative Easing	Buy financial assets	Increases
Term Auction Facility	Auction reserves to banks	Increases