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A household lives for two periods and chooses consumption 0 and labor I in each period. In period 2, wages are uncertain and can take

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A household lives for two periods and chooses consumption 0 and labor I in each period. In period 2, wages are uncertain and can take from two possible values: 012 e {wH,wL} with probability IP(wH) = p e (0, 1). The household can borrow and save with a risk free rate 'r. The household maximizes - (20 points) Derive the rstorder conditions of households. 0 (20 points) Derive the Euler equation of households. 0 (20 points) Derive the intratemporal optimization conditions of the household for each period (refer to class recordings if you are unsure what that means)

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