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1. Consumers Consumption Decision (Chapter 2 in Fabozi, Neave and Zhou - Fi- nancial Economics) Suppose Amys utility functi

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Answer #1

From the utility function we have MRS = MUC1/MUC2

= C2^0.6/0.6C1C2^-0.4

= 5C2/3C1

Budget constraint for two time periods is C1 + C2/(1 + r) = Y1 + Y2/(1 + r)

C1 + C2/(1.08) = 2000 + 1296/(1.08)

C1 + 0.92593C2 = 3200

Now slope of budget constraint = MRS

1/0.92593 = 5C2/3C1

C2 = 0.648C1

Use this in the budget constraint C1 + 0.92593*0.648C1 = 3200

1.6C1 = 3200

C1 = 2000

C2 = 1296

Since C1 = Y1 Amy is neither is a borrower nor a lender.

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