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Meg Has a Utility Function U(C0,C1)= C0aC11- a, Where 0<a<1

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Meg has a utility function U(C0,C1)= C0aC11- a, where 0<a<1 and C0 and C1 are her consumptions in periods 0 and 1 respectively. Suppose her income is M0 in period 0 and M1 in period 1.
i)Write down her budget constraint
ii)If a = 0.2, solve for Meg's demand functions for consumption in each period as a function of M0, M1 and i.
iii)What happens to C0 and C1 if the interest rate increases?


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