Solution) Chris’s utility from present consumption (CP) and future consumption (CF) is U=CPCF. Chris has an in


Question: Chris’s utility from present consumption (CP) and future consumption (CF) is U=CPCF. Chris has an income of $100 today, and will have no income (aside from the current savings and accrued interest) in the future. The interest rate is 10% on which a 30% tax is levied.

a) What is the future value of $1 of consumption?

b) What is Chris’s constraint on future consumption, in terms of present consumption?

c) How much will be consumed today and in the future, under optimal conditions? Sketch this constraint and the optimal point.

d) To encourage savings, the president eliminates the tax on Chris’s interest income. Will this policy be successful? What changes under this policy?

Explain the net effect of this policy in terms of incoMeand substitution effects.

Solution:

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