An open economy is fully characterized by the following IS curve, monetary policy rule, and Phillips curve: IS: ๐ ~ ๐ก = ๐ ยฏ โ ( ๐ ยฏ ๐ + ๐ ยฏ ๐ ๐ฅ ) ( ๐ ๐ก โ ๐ ยฏ ) + ๐ ยฏ ๐ ๐ฅ ( ๐ ๐ก โ โ ๐ ยฏ ) , where ๐ ๐ก โ is the real interest abroad, ๐ ยฏ = ๐ ยฏ ๐ + ๐ ยฏ ๐ + ๐ ยฏ ๐ + ๐ ยฏ ๐ ๐ฅ โ 1 , and ๐ ยฏ ๐ ๐ฅ = ๐ ยฏ ๐ ๐ฅ โ ๐ ยฏ ๐ ๐ . Monetary policy rule: ๐ ๐ก โ ๐ ยฏ = ๐ ยฏ ( ๐ ๐ก โ ๐ ยฏ ) Phillips curve: ๐ ๐ก = ๐ ๐ก โ 1 + ๐ฃ ยฏ ๐ ~ ๐ก + ๐ ยฏ ๐ก Assume that ๐ ยฏ = 0 , ๐ ยฏ ๐ ๐ฅ = 0 , ๐ ยฏ ๐ = ๐ ยฏ ๐ ๐ฅ = 0.2 , ๐ฃ ยฏ = 0.5 , ๐ ๐ก โ = 0.04 , ๐ ยฏ = 0.03 , ๐ ๐ก โ 1 = ๐ ยฏ = 0.02 , ๐ ยฏ = 1 , and ๐ ยฏ ๐ก = 0.025 . Calculate ๐ ๐ก = ______ 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.ๆฐๅผ้ข
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An open economy is fully characterized by the following IS curve, monetary policy rule, and Phillips curve: IS: ๐ ~ ๐ก = ๐ ยฏ โ ( ๐ ยฏ ๐ + ๐ ยฏ ๐ ๐ฅ ) ( ๐ ๐ก โ ๐ ยฏ ) + ๐ ยฏ ๐ ๐ฅ ( ๐ ๐ก โ โ ๐ ยฏ ) , where ๐ ๐ก โ is the real interest abroad, ๐ ยฏ = ๐ ยฏ ๐ + ๐ ยฏ ๐ + ๐ ยฏ ๐ + ๐ ยฏ ๐ ๐ฅ โ 1 , and ๐ ยฏ ๐ ๐ฅ = ๐ ยฏ ๐ ๐ฅ โ ๐ ยฏ ๐ ๐ . Monetary policy rule: ๐ ๐ก โ ๐ ยฏ = ๐ ยฏ ( ๐ ๐ก โ ๐ ยฏ ) Phillips curve: ๐ ๐ก = ๐ ๐ก โ 1 + ๐ฃ ยฏ ๐ ~ ๐ก + ๐ ยฏ ๐ก Assume that ๐ ยฏ = 0 , ๐ ยฏ ๐ ๐ฅ = 0 , ๐ ยฏ ๐ = ๐ ยฏ ๐ ๐ฅ = 0.2 , ๐ฃ ยฏ = 0.5 , ๐ ๐ก โ = 0.04 , ๐ ยฏ = 0.03 , ๐ ๐ก โ 1 = ๐ ยฏ = 0.02 , ๐ ยฏ = 1 , and ๐ ยฏ ๐ก = 0.045 . Calculate ๐ ๐ก = ______ 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 ๐ ยฏ ? 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 ๐ ยฏ ? Round your answer to the nearest tenth.
You are a staff economist with the Federal Reserve. The chairman says to you, โWe are seeing signs of inflation above our target rate, and I donโt think the Phillips curve is very steep. What should we do to bring the rate back to our target rate?โ How do you respond? Answer:ย โBecause 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.โ
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