(b) Derive the consumption function for this case, $$ C_1 = left( frac{1 + r}{2 + r}...

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(b) Derive the consumption function for this case,

$$ C_1 = \left( \frac{1 + r}{2 + r} \right) Y_1 + \left( \frac{1}{2 + r} \right) Y_2. $$

Show that \( C_2 = C_1 \) using this consumption function and the current account identity.

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