EBK MICROECONOMICS
5th Edition
ISBN: 9781118883228
Author: David
Publisher: YUZU
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Question
Chapter 4, Problem 4.20P
To determine
To evaluate:
Whether the individual will prefer to borrow or lend or stand neutral, and to find out in the case of borrowing rate reduced by 8%.
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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.
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.
During any year, I can consume any amount that doesnot exceed my current wealth. If I consume c dollars duringa year, I earn ca units of happiness. By the beginning of thenext year, the previous year’s ending wealth grows by afactor k.a Formulate a recursion that can be used to maximizetotal utility earned during the next T years. Assume Ioriginally have w0 dollars.b Let ft(w) be the maximum utility earned during years
t, t 1, . . . , T, given that I have w dollars at the be-ginning of year t; and ct(w) be the amount that should
be consumed during year t to attain ft(w). By workingbackward, show that for appropriately chosen constantsat and bt,ft(w) btwa and ct(w) atwInterpret these results.
Chapter 4 Solutions
EBK MICROECONOMICS
Ch. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RE
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10PCh. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.30P
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