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.