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If the equilibrium income is currently $16$ trillion and the marginal propensity to save (MPS) is $0.2$, and there is a $1$ trillion dollar decrease in exports due to higher tariffs, what will be the new level of GDP?

A) $15.8 trillion
B) $15.6 trillion
C) $15.2 trillion
D) $15.4 trillion

Answer :

Final answer:

To calculate the new GDP level after a decrease in exports, we use the economic multiplier effect. With an MPS of 0.2 and a decrease in exports of t trillion, the GDP would decrease by 5t trillion. However, the new GDP calculated does not match the provided options, implying a potential error in the question details.

Explanation:

The student's question is about calculating the new level of Gross Domestic Product (GDP) after a decrease in exports due to higher tariffs, given the marginal propensity to save (MPS) and the initial equilibrium income. Using the multiplier effect in economics, which is calculated as 1/(1-MPC), where MPC is the marginal propensity to consume (1 - MPS), we can determine the impact of a change in exports on GDP. In this case, MPS is 0.2, therefore MPC is 0.8, and the multiplier is 1/(1-0.8) = 5. A t trillion dollar decrease in exports will decrease GDP by 5t trillion dollars.

To find the new equilibrium GDP, subtract 5t from the initial equilibrium income of 16 trillion. Assuming t equals 1 (as the question specifies a t trillion dollar decrease), the decrease in GDP would be 5 trillion (5 * 1 trillion), leading to a new GDP level of 16 trillion - 5 trillion = 11 trillion. However, this result does not match any of the answer options provided, which suggests there might be a typo or misunderstanding in the initial question. If the decrease in exports was meant to be less than a trillion or a different factor is at play, it would affect the result accordingly. Please double-check the figures or provide additional context to receive the correct calculation.

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