A high value of the parameter
𝑚
¯
in the monetary policy rule implies that policymakers
[ Select ]
do not
only slightly
aggressively

[ Select ]
increase
decrease
the interest rate to combat higher-than-desired inflation.

Question

A high value of the parameter 
𝑚
¯
 in the monetary policy rule implies that policymakers 
[ Select ]
do not
only slightly
aggressively
 
[ Select ]
increase
decrease
 the interest rate to combat higher-than-desired inflation.

BlackTom AI · Accepted Answer

In a Taylor-type interest-rate rule, the coefficient on inflation (here m̄) measures how strongly the central bank adjusts the nominal interest rate in response to deviations of inflation from its target.

1) Relevant knowledge points and concepts
- Monetary policy rules (e.g., the Taylor rule) specify i = r* + π + m̄(π − π* ) + other terms, where i is the nominal interest rate, π is current inflation and π* is the inflation target. 
- The parameter m̄ is the inflation‑responsiveness coefficient: larger m̄ means a larger change in i for a given inflation gap.
- “Aggressive” response means a large change in the policy rate; “increase” vs “decrease” indicates direction of the change.

2) Step-by-step reasoning
- Suppose inflation exceeds target by 1 percentage point: (π − π*) = +1. The change in the nominal rate due to that gap is m̄ × 1.
- If m̄ is high (for example, m̄ = 3), the rule implies the central bank raises the nominal rate by 3 percentage points to counteract the inflation gap.
- If m̄ were low (for example, 0.5), the central bank would raise the rate only 0.5 percentage points — a much milder response.

3) Intermediate numerical illustration
- Case A: m̄ = 3 and inflation gap = +1% → Δi = 3 × 1% = +3% (large increase).
- Case B: m̄ = 0.5 and inflation gap = +1% → Δi = 0.5 × 1% = +0.5% (small increase).

4) Why the correct answer is correct
- A high m̄ implies the policy rule prescribes a large adjustment in i when inflation is above target — i.e., policymakers “aggressively increase” the interest rate to bring inflation down.

5) Why the other options are incorrect
- “Do not” or “only slightly” contradict the meaning of a large coefficient (they imply weak or no response). 
- “Decrease” is the wrong direction: when inflation is higher than desired, the central bank raises rates to cool demand, not lower them.

Conclusion: Therefore the sentence correctly reads that a high value of m̄ implies policymakers aggressively increase the interest rate to combat higher-than-desired inflation, matching the provided answer: ["aggressively", "increase"].

A high value of the parameter 𝑚 ¯ in the monetary policy rule implies that policymakers [ Select ] do not only slightly aggressively [ Select ] increase decrease the interest rate to combat higher-than-desired inflation.多重下拉选择题

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