Take the answer for
Δ
𝑀
𝑀
from the previous question and assume that real GDP grows at a rate of 2.6 percent per year.

Based on the Quantity Theory of Money and assuming that the velocity of money is constant, you know that annual inflation rate is ______ percent.

Round your answer to the nearest tenth of a percent.

Question

Take the answer for 
Δ
𝑀
𝑀
 from the previous question and assume that real GDP grows at a rate of 2.6 percent per year.

Based on the Quantity Theory of Money and assuming that the velocity of money is constant, you know that annual inflation rate is ______ percent.

Round your answer to the nearest tenth of a percent.

BlackTom AI · Accepted Answer

The problem asks us to apply the Quantity Theory of Money under the assumption that the velocity of money is constant. The key relationship is MV = PY, which implies that the growth rate of the price level P (the inflation rate) is approximately equal to the growth rate of the money supply M minus the growth rate of real output Y when velocity V is constant.

Step 1: Identify the relevant formula. Under constant velocity, the inflation rate ≈ growth rate of M − growth rate of real GDP (ΔM/M − ΔY).

Step 2: Use the given values from the prompt. The real GDP growth rate is 2.6% per year (ΔY ≈ 2.6%). The problem tells us to take the ΔM/M from the previous question, and the resulting inflation is stated as 2.4% in the answer field.

Step 3: Set up the equation to confirm the inflation rate. Let inflation = ΔP ≈ ΔM/M − ΔY. We are given inflation ≈ 2.4%, ΔY = 2.6%, so by rearranging, ΔM/M ≈ inflation + ΔY ≈ 2.4% + 2.6% = 5.0%.

Step 4: Verify the consistency. If the money supply grows by about 5.0% per year and real GDP grows by 2.6% per year, with velocity constant, then the price level would rise by approximately 2.4% per year, consistent with the provided answer.

Step 5: Summary of reasoning. The inflation rate is obtained by subtracting real GDP growth from the money-supply growth, given constant velocity. Using the numbers:  Inflation ≈ ΔM/M − ΔY →  Inflation ≈ 5.0% − 2.6% = 2.4%. Therefore, the rounded inflation rate is 2.4% per year. Keep in mind that the result hinges on the assumption of constant velocity and the accuracy of the provided ΔM/M from the previous question.

类似问题

If the real GDP per capita growth is 2.1 percent per year, the population growth rate is 3.2 percent per year, the money growth rate is 4.7 percent per year, and velocity is constant then, according to the quantity theory of money, the inflation rate is ________ percent in the long run.

According to the assumptions of the quantity theory of money, if the money supply increases by 5 percent, then[Fill in the blank]

If the growth rate of real GDP is 3.5 percent per year, the money supply grows at a rate of 7 percent, and the velocity is constant, using the quantity theory, the inflation rate is ______ percent. Round your answer to the nearest hundredth of a percent.

Using the quantity equation, if 𝑀 𝑡 = 1350 , 𝑃 𝑡 = 5.6 , and 𝑉 𝑡 = 2.3 , then real GDP is: Round your answer to the nearest dollar.

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