(c) Derive Home's date 1 consumption function, and show it can be written as $$ C_1(r) =...

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(c) Derive Home's date 1 consumption function, and show it can be written as

$$ C_1(r) = \frac{1}{1 + \beta} \left( Y_1 - I_1 + \frac{Y_2 - I_2}{1 + r} \right) $$

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