08

From Short to Medium Run (IS-LM-PC)

Monetary Policy Transmission Channels

coreExam · medium

Monetary policy affects the economy through five channels: (1) interest-rate (↓i → ↑I, ↑C), (2) asset-price (↓i → ↑Q → ↑wealth → ↑C), (3) exchange-rate (↓i → depreciation → ↑NX), (4) credit / bank-lending (↓i → ↓x → ↑loans), (5) expectations (forward guidance, ↑πe). Each channel has different lags and magnitudes.

Derivation

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Five Channels

| # | Channel | Mechanism | Direct effect | |---|---------|-----------|---------------| | 1 | Interest rate | r\downarrow r → user cost, Euler | I,C\uparrow I, \uparrow C | | 2 | Asset price | r\downarrow rQ\uparrow Q | C\uparrow C via wealth | | 3 | Exchange rate | i\downarrow i → UIP → E\downarrow E | NX\uparrow NX | | 4 | Credit | i\downarrow ix\downarrow x | I\uparrow I | | 5 | Expectations | Forward guidance | A\uparrow A via rer^{e'} |

Lag Structure

Monetary policy acts with long and variable lags. Rate cuts affect output with a peak ~6–8 quarters out; inflation peaks ~12–16 quarters out. This is why CBs need to act pre-emptively.

Amplification at the ZLB

When the policy rate is pinned at 0:

  • Channel 1 (rate) is disabled
  • Channel 4 (credit) works via QE compressing xx
  • Channel 5 (expectations) works via forward guidance

Open-Economy Amplification

The exchange-rate channel is crucial in small open economies. A rate cut under floating FX:

  1. Depreciates EE via UIP
  2. Raises NX via Marshall–Lerner
  3. Adds to the output response

Under fixed FX, this channel is disabled — hence the impossible trinity.

Worked Example

The CB cuts iᵀ by 1 pp. Decompose the Y effect through each channel.

  1. (1) Interest rate: r falls 1 pp → I responds via user cost; C responds via Euler.
  2. (2) Asset-price: Gordon growth Q = D/(k−g); k falls → Q rises ~20%. Wealth effect MPC ~3% → ΔC ~0.6% of wealth.
  3. (3) Exchange rate: E depreciates ~1% (UIP); NX rises via Marshall–Lerner.
  4. (4) Credit: x narrows, I rises further.
  5. (5) Expectations: if cut signals future easing, r^e' falls too → extra investment.
Combined ΔY is substantially larger than the pure interest-rate channel suggests. Empirical estimates (US): a 1 pp cut raises Y by ~0.5–1.5% peak, with peak in 6–8 quarters.

Common Mistakes

  • Focusing only on the interest-rate channel — misses asset-price, exchange-rate, and credit amplifiers.
  • Assuming channels work equally at all times — the credit channel collapses in crises; the ZLB disables channel 1 but not 4–5.
  • Ignoring the lag structure — monetary policy is a slow-acting tool.
  • Treating channels as additive — in practice they interact and amplify each other.

Exam Cues

  • Five channels: interest, asset-price, exchange-rate, credit, expectations.
  • Open economy: exchange-rate channel amplifies monetary transmission.
  • ZLB: interest channel disabled. Must rely on credit (QE → ↓x) and expectations (forward guidance).
  • Lag structure: Y peaks ~6–8 quarters; π peaks ~12–16 quarters.

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