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题目
题目

FA25 ECON 302 002 Final Exam

数倌题

An open economy is fully characterized by the following IS curve, monetary policy rule, and Phillips curve: IS: 𝑌 ~ 𝑡 = 𝑎 ¯ − ( 𝑏 ¯ 𝑖 + 𝑏 ¯ 𝑛 𝑥 ) ( 𝑅 𝑡 − 𝑟 ¯ ) + 𝑏 ¯ 𝑛 𝑥 ( 𝑅 𝑡 ∗ − 𝑟 ¯ ) , where 𝑅 𝑡 ∗ is the real interest abroad, 𝑎 ¯ = 𝑎 ¯ 𝑐 + 𝑎 ¯ 𝑖 + 𝑎 ¯ 𝑔 + 𝑎 ¯ 𝑛 𝑥 − 1 , and 𝑎 ¯ 𝑛 𝑥 = 𝑎 ¯ 𝑒 𝑥 − 𝑎 ¯ 𝑖 𝑚 . Monetary policy rule: 𝑅 𝑡 − 𝑟 ¯ = 𝑚 ¯ ( 𝜋 𝑡 − 𝜋 ¯ ) Phillips curve: 𝜋 𝑡 = 𝜋 𝑡 − 1 + 𝑣 ¯ 𝑌 ~ 𝑡 + 𝑜 ¯ 𝑡 Assume that 𝑎 ¯ = 0 , 𝑎 ¯ 𝑛 𝑥 = 0 , 𝑏 ¯ 𝑖 = 𝑏 ¯ 𝑛 𝑥 = 0.2 , 𝑣 ¯ = 0.5 , 𝑅 𝑡 ∗ = 0.04 , 𝑟 ¯ = 0.03 , 𝜋 𝑡 − 1 = 𝜋 ¯ = 0.02 , 𝑚 ¯ = 1 , and 𝑜 ¯ 𝑡 = 0.025 . Calculate 𝜋 𝑡 = ______ percent. Round your answer to the nearest tenth of a percent. Note: Calculate your answers for this one and the next three questions in a spreadsheet application. Enter rounded numbers in the answer box for each question. Do not, however, round your intermediate answers in the spreadsheet.

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思路分析
The task presents a single numerical question with no multiple-choice options provided. To establish understanding, I will first restate what is given and then work through the model step by step to show how pi_t would be determined. Restated question and givens: - IS curve: Y~_t = a_bar − (b_i_bar i_t + b_nx_bar nx)(R_t − r_bar) + b_nx_bar nx (R_t* − r_bar) - With a_bar = 0, nx_bar = 0, b_i_bar = 0.2, b_nx_bar = 0.2, nx = 0, R_t* = 0.04, r_bar = 0.03, this simplifies to Y~_t = −0.2 i_t (R_t − r_bar). - Monetary policy rule: R_t − r_bar ......Login to view full explanation

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类䌌问题

An open economy is fully characterized by the following IS curve, monetary policy rule, and Phillips curve: IS: 𝑌 ~ 𝑡 = 𝑎 ¯ − ( 𝑏 ¯ 𝑖 + 𝑏 ¯ 𝑛 𝑥 ) ( 𝑅 𝑡 − 𝑟 ¯ ) + 𝑏 ¯ 𝑛 𝑥 ( 𝑅 𝑡 ∗ − 𝑟 ¯ ) , where 𝑅 𝑡 ∗ is the real interest abroad, 𝑎 ¯ = 𝑎 ¯ 𝑐 + 𝑎 ¯ 𝑖 + 𝑎 ¯ 𝑔 + 𝑎 ¯ 𝑛 𝑥 − 1 , and 𝑎 ¯ 𝑛 𝑥 = 𝑎 ¯ 𝑒 𝑥 − 𝑎 ¯ 𝑖 𝑚 . Monetary policy rule: 𝑅 𝑡 − 𝑟 ¯ = 𝑚 ¯ ( 𝜋 𝑡 − 𝜋 ¯ ) Phillips curve: 𝜋 𝑡 = 𝜋 𝑡 − 1 + 𝑣 ¯ 𝑌 ~ 𝑡 + 𝑜 ¯ 𝑡 Assume that 𝑎 ¯ = 0 , 𝑎 ¯ 𝑛 𝑥 = 0 , 𝑏 ¯ 𝑖 = 𝑏 ¯ 𝑛 𝑥 = 0.2 , 𝑣 ¯ = 0.5 , 𝑅 𝑡 ∗ = 0.04 , 𝑟 ¯ = 0.03 , 𝜋 𝑡 − 1 = 𝜋 ¯ = 0.02 , 𝑚 ¯ = 1 , and 𝑜 ¯ 𝑡 = 0.045 . Calculate 𝜋 𝑡 = ______ percent. Round your answer to the nearest tenth of a percent. Note: Calculate your answers for this one and the next three questions in a spreadsheet application. Enter rounded numbers in the answer box for each question. Do not, however, round your intermediate answers in the spreadsheet.

Suppose the Federal Reserve decreases interest rates from 4% to 3%, which shifts aggregate demand and increases short-run output to 5.0%. If there are no other shocks to the economy, and the resulting change in inflation is 2.0 percentage points, what is the value of the parameter 𝜈 ¯ ? Round your answer to the nearest tenth.

Suppose the Federal Reserve decreases interest rates from 4% to 3%, which shifts aggregate demand and increases short-run output to 3.0%. If there are no other shocks to the economy, and the resulting change in inflation is 1.5 percentage point, what is the value of the parameter 𝜈 ¯ ? Round your answer to the nearest tenth.

You are a staff economist with the Federal Reserve. The chairman says to you, “We are seeing signs of inflation above our target rate, and I don’t think the Phillips curve is very steep. What should we do to bring the rate back to our target rate?” How do you respond? Answer:  “Because the Phillips curve is relatively flat, we need to [ Select ] decrease increase interest rates [ Select ] by just a little very aggressively in order to [ Select ] raise lower the investment-to-potential output ratio and hence short-run output. A flat Phillips curve requires a [ Select ] big change small change in short-run output in order to lower the inflation rate.”

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