5. Endowment shifts and world interest rates. In the two country endowment model of borrowing and lending,

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5. Endowment shifts and world interest rates. In the two country endowment model of borrowing and lending, show algebraically that a rise in \( Y_1 \) or \( Y_1^* \) lowers \( r \), whereas a rise in \( Y_2 \) or \( Y_2^* \) raises \( r \).

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