Consider an economy with the following equations𝑌 =𝐶 + 𝐼 +𝐺 +𝑁𝑋𝑌 = 5,000𝐺 =1,250𝑇 =1,000𝐶 =100 +0.85*(𝑌 -𝑇)𝐼 = 1,000 - 5,000𝑟𝑁𝑋 = 300 - 500𝜀𝑟=𝑟∗ =0.05Note that 𝑟 and 𝑟* are denoted as fractions. For example, 𝑟 = 𝑟* =0.05 means the domestic real interest rate equals the world real interest rate of 5%.Solve for the trade balance.
Question
Consider an economy with the following equations𝑌 =𝐶 + 𝐼 +𝐺 +𝑁𝑋𝑌 = 5,000𝐺 =1,250𝑇 =1,000𝐶 =100 +0.85*(𝑌 -𝑇)𝐼 = 1,000 - 5,000𝑟𝑁𝑋 = 300 - 500𝜀𝑟=𝑟∗ =0.05Note that 𝑟 and 𝑟* are denoted as fractions. For example, 𝑟 = 𝑟* =0.05 means the domestic real interest rate equals the world real interest rate of 5%.Solve for the trade balance.
Solution
The trade balance is represented by the variable NX in the given equations. To solve for the trade balance, we first need to solve for the other variables in the equation.
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Solve for Y: Given that Y = 5000, we don't need to solve for Y.
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Solve for G: Given that G = 1250, we don't need to solve for G.
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Solve for T: Given that T = 1000, we don't need to solve for T.
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Solve for C: Substitute Y and T into the equation for C: C = 100 + 0.85*(Y - T) C = 100 + 0.85*(5000 - 1000) C = 100 + 0.85*4000 C = 100 + 3400 C = 3500
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Solve for I: Substitute r into the equation for I: I = 1000 - 5000r I = 1000 - 50000.05 I = 1000 - 250 I = 750
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Solve for NX: Substitute Y, C, I, and G into the equation for Y: Y = C + I + G + NX 5000 = 3500 + 750 + 1250 + NX 5000 = 5500 + NX NX = 5000 - 5500 NX = -500
Therefore, the trade balance (NX) is -500. This means the economy is running a trade deficit of 500.
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