Money Growth and Inflation

Money Growth and Inflation

Introduction

  • Chapter 30 focuses on the relationship between money supply, demand, value of money, price levels, and nominal interest rates.

Value of Money, Price Level, and Nominal Interest Rate

  • The value of money, as well as the price level and nominal interest rate, is governed by the forces of demand and supply for money.

Supply of Money

  • The supply of money is determined by the Federal Reserve (Fed).

  • Since the money supply is fixed, the money supply curve is perfectly inelastic and appears vertical on a graph.

Graphical Representation

  • **Value of Money & Money Supply:

    • Vertical Money Supply Curve:

    • Value of Money: Presented as 1/P.

    • Equilibrium value of money and price levels illustrated as follows:

      • High value of money corresponds to lower price levels.

      • Low value of money corresponds to higher price levels.

      • Equilibrium price level can be quantitatively analyzed (e.g., $P = 1$ to $1.33$).

Money Demand and Price Levels

  • An increase in the money supply decreases the value of money and increases the price level.

Interest on Reserves

  • When banks have ample reserves, the Fed has the ability to modify the interest on reserves (IOR), which can influence interest rates independently of the actual money supply.

Quantity Theory of Money

  • The quantity of money in the economy determines the price levels.

  • The change in money quantity growth rate is linked to the inflation rate.

Velocity of Money

  • Defined as the rate at which money circulates in the economy.

  • Velocity Formula:

    • Velocity = Nominal GDP / Money Supply

    • Also expressed as: P x Y / M

    • $V$ = velocity of money,

    • $P$ = price level,

    • $Y$ = real GDP,

    • $M$ = quantity of money.

  • Key Relationship: The Quantity Equation is defined as: MV=PYMV = PY

    • This formula relates the total quantity of money ($M$), the velocity of money ($V$), and the economy's dollar output of goods and services ($P \times Y$).

Example of Quantity Equation

  • Given Values:

    • Real GDP = $5000,

    • Velocity = 5,

    • Money Supply = $2000,

    • Price Level = 2.

  • Verification through Quantity Equation:
    M×V=P×Y→2000×5=2×5000→10000=10000M \times V = P \times Y \rightarrow 2000 \times 5 = 2 \times 5000 \rightarrow 10000 = 10000

Velocity Calculation Example

  • Scenario:

    • GDP = 100 widgets,

    • Price per widget = $2,

    • Money Supply = $40.

To find the velocity of money ($V$):
V=P×YM→V=2×10040=20040=5V = \frac{P \times Y}{M} \rightarrow V = \frac{2 \times 100}{40} = \frac{200}{40} = 5

Historical Context of Inflation

  • Data on Inflation:

    • Case Study: Austria, Hungary, Germany, Poland (1921-1925), detailing massive price levels and money supply fluctuations.

Inflation Tax

  • Defined as the revenue the government generates by producing money, which subsequently devalues the currency.

Fisher Effect

  • Explanation of the nominal interest rate adjustment in relation to inflation:

    • Nominal interest rate adjusts one-for-one with the inflation rate.

  • Formulas:

    • Real Interest Rate: $\text{Real Interest Rate} = \text{Nominal Interest Rate} - \text{Inflation Rate}$

    • Nominal Interest Rate: $\text{Nominal Interest Rate} = \text{Real Interest Rate} + \text{Inflation Rate}$

  • The balance of demand and supply for loanable funds guides the real interest rate, whereas the growth in money supply informs the inflation rate.

Example of Fisher Effect

  • Given Values:

    • Nominal interest rate: 5.5%

    • Inflation rate: 3%

    • Calculation for Real Interest Rate:
      Real Interest Rate=5.5%−3%=2.5%\text{Real Interest Rate} = 5.5\% - 3\% = 2.5\%

Cost of Inflation

  • Common perception: Inflation diminishes the purchasing power of income.

  • Key insight: As prices increase, so do incomes, suggesting inflation does not necessarily lessen purchasing power.

Shoeleather Costs

  • Defined as the resources that are wasted when inflation prompts individuals to minimize their money holdings.

  • Rationale: Inflation diminishes the value of cash in hand; thus, people prefer to hold less cash to avoid loss.

Menu Costs

  • Defined as the costs incurred when businesses change their prices.

  • Illustrated through examples of businesses needing to update their pricing strategy, resulting in potential operational costs.

Costs of Expected Inflation

  • The inefficiency of adjusting cash holdings can metaphorically be termed "shoeleather costs" due to frequent trips to the bank.

  • Changes in inflation necessitate printing and distributing new price information, thus creating menu costs.

  • Also touches on tax law complexities, as several tax regulations do not accommodate inflationary impacts on income.

Tax Distortions

  • Examples showcasing how inflation interacts with taxes, reducing effective real interest rates.

  • Case Analyses:

    • Comparison between two economies (Alpha and Beta) with different inflation rates impacting nominal interest rates and real returns on investment.

  • Illustrated calculations look into the outcomes of interest post-tax, thus elucidating the impact of inflation on saving behaviors.

    • This demonstrates that savers in an economy experiencing higher inflation (Beta) will likely save less due to low after-tax real returns.