nhi 106_5 Monetary

Money Demand and Money Market Equilibrium

Introduction

  • Subject Matter: Money Demand and Equilibrium in Money Market.
  • Lecturer: Miguel H. Ferreira, Queen Mary University of London.

Money Market and Interest Rates

  • The money market is a sector of the financial market in which financial instruments with high liquidity and short maturities are traded.
  • Interest Rates: The cost of borrowing money or the return for investing money predominantly determined by the demand for money and its supply in the market.

Mathematical Framework of Money Market Equilibrium

  • General Equilibrium Concept: Refers to a state in which all markets in the economy are in balance simultaneously.
  • Money supply ($M$) equates to money demand ($Md$) in equilibrium: Md = M_s where:
    • $M_d$ is the demand for money.
    • $M_s$ is the supply of money.

Goods Market Equilibrium and Aggregate Demand

  • Aggregate Demand (AD): Total demand for goods and services within the economy at a given overall price level in a given time period.
  • Long Run Aggregate Supply (LRAS): In the long run, the supply is vertical and perfectly inelastic, indicating that supply is determined by factors of production.

Money Demand Function

  • Simplified Money Demand Equation: Md = P imes Yd imes L(i) where:
    • $P$ = price level
    • $Y_d$ = real output or income
    • $L(i)$ = demand for real money balances, which is a function of the nominal interest rate ($i$).

Impact of Interest Rates on Money Demand

  • Inverse Relationship: Generally, as the interest rate increases ($i$), the demand for money ($M_d$) decreases, and vice versa.
    • This means that different for liquidity preference:
      L(i) = L(r + ext{expected inflation})
      where $r$ is the real interest rate.

Dynamics of the Money Market Equilibrium

  • Equilibrium Condition:
    Md = Ms
    indicates that the money supply adjusts to meet the demand considering price levels and economic growth.
  • Adjustments to Shocks: When there are shocks in the economy, such as unexpected changes in inflation or interest rates, adjustments occur in the money supply or demand leading to movements towards a new equilibrium.

Money Supply Changes

  • Money Supply (Ms) Increases: An increase in the money supply can lead to lower interest rates, which can promote borrowing and spending.
  • Long-term Implications: If the supply continues to grow indefinitely, inflation ($P$) could occur, eroding the value of money.

Long-Run vs Short-Run Dynamics

  • In the short run, changes in money supply can affect output; however, in the long run, output is determined by the supply side factors.
  • Role of Central Banks: Central banks manage the money supply using interest rates as their primary tool to adjust economic activity.

Inflation and Its Implications

  • Inflation ($ ext{π}$): General increase in prices and fall in the purchasing value of money.
  • Implications of rising inflation on money supply and demand.
    • Typically, $ ext{π}^e$ (expected inflation) can drive interest rates up, which can subsequently decrease money demand.

Conclusion

The concepts of money demand and money market equilibrium emphasize the fluid relationship between interest rates, the money supply, and economic output. Understanding these relationships is essential for macroeconomic analysis and can aid policymakers in addressing economic challenges.