demand for money: liquidity preference theory

Money and Banking: Demand for Money

Liquidity Preference Theory

The liquidity preference theory, proposed by John Maynard Keynes, explains why people hold money instead of investing it.

Key idea: Money is held for three motives – transactions, precautionary, and speculative. The theory shows that the speculative motive creates a negative relationship between the demand for money and the interest rate.



Think of money as a backpack you carry around. If you need to buy a new phone (transactions), you keep some cash in your backpack. If you’re worried about a surprise trip (precautionary), you keep extra cash. But if you think you can earn more by investing in stocks (speculative), you’ll leave some cash in your backpack and put the rest in a savings account that pays interest. The higher the interest rate, the more you want to leave your money in the bank and the less you keep in your backpack.

Equation of Liquidity Preference:



\$L = kY - hR\$



Where:

  • \$L\$ = demand for money (liquidity)
  • \$Y\$ = real income (higher income → more transactions)
  • \$R\$ = nominal interest rate (higher rate → less money held)
  • \$k\$ and \$h\$ = positive constants

Determinants of Money Demand

DeterminantEffect on Money Demand
Real Income (\$Y\$)↑ → ↑ (more transactions)
Nominal Interest Rate (\$R\$)↑ → ↓ (more opportunity cost of holding cash)
Price Level (\$P\$)↑ → ↑ (need more money to buy the same goods)

Illustrative Example

Suppose the interest rate rises from 2 % to 4 %.

Using \$L = kY - hR\$ with \$k=0.5\$, \$h=2\$, and \$Y=100\$ (in millions):



\$L_{2\%} = 0.5 \times 100 - 2 \times 2 = 50 - 4 = 46\$


\$L_{4\%} = 0.5 \times 100 - 2 \times 4 = 50 - 8 = 42\$



The demand for money falls by 4 million units (≈ 8.7 %).

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Exam Tips

  1. Remember the trade‑off between liquidity and interest: higher rates reduce money demand.
  2. Use the equation \$L = kY - hR\$ to show how each determinant shifts the demand curve.
  3. Explain the speculative motive in your own words and give a real‑world example.
  4. When asked to draw a diagram, label the axes (Money Demand on the vertical, Interest Rate on the horizontal) and show a leftward shift when the interest rate rises.
  5. Practice converting a verbal scenario into the mathematical form \$L = kY - hR\$ and calculate the change.