Anya has a two-period horizon. She has the utility functionu (c1,c2) = 2ln(c1) + ln(c2), where cj is her consumption in period j. Her income is Mj in period j. Assume that M1= 7,000 and M2=9,600. The interest rate at which she can borrow and lend is 20%. (i) Find the equation for Anya’s budget line. (ii) Find her optimal bundle. (iii) Explain whether her utility would rise or fall if the interest rate were to fall slightly. (iv) Now suppose that the interest rate is again 20% and Anyahas M1= 0 and M2= 18,000.Explain why her optimal bundles here and in (ii) are related as they are. *just answer part iv.
Anya has a two-period horizon. She has the utility functionu (c1,c2) = 2ln(c1) + ln(c2), where cj is her consumption in period j. Her income is Mj in period j. Assume that M1= 7,000 and M2=9,600. The interest rate at which she can borrow and lend is 20%. (i) Find the equation for Anya’s budget line. (ii) Find her optimal bundle. (iii) Explain whether her utility would rise or fall if the interest rate were to fall slightly. (iv) Now suppose that the interest rate is again 20% and Anyahas M1= 0 and M2= 18,000.Explain why her optimal bundles here and in (ii) are related as they are. *just answer part iv.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Anya has a two-period horizon. She has the utility functionu (c1,c2) = 2ln(c1) + ln(c2), where cj is her consumption in period j. Her income is Mj in period j. Assume that M1= 7,000 and M2=9,600. The interest rate at which she can borrow and lend is 20%.
(i) Find the equation for Anya’s budget line.
(ii) Find her optimal bundle.
(iii) Explain whether her utility would rise or fall if the interest rate were to fall slightly.
(iv) Now suppose that the interest rate is again 20% and Anyahas M1= 0 and M2= 18,000.Explain why her optimal bundles here and in (ii) are related as they are.
*just answer part iv.
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