Consider a trader i has following utility function: u;(X1, x2) = xf x¯", where Xi refers to the quantity of asset with price pi, and i = 1,2 in this case. Suppose the total money of this trader to be completely used for trading is M, and during the whole trading process the price of asset remains constant. (a) buy when she wants to maximize her utility function. Determine the optimal quantity x; for each asset that this trader can Describe in words about her preferences correponding to a = 0, a = 1, (b) and a = 0.5.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.2P
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3. Consider a trader i has following utility function:
1-a
U;(X1, x2) = xf x,-ª,
where x; refers to the quantity of asset with price pi, and i
the total money of this trader to be completely used for trading is M, and during the
whole trading process the price of asset remains constant.
1,2 in this case. Suppose
(a)
buy when she wants to maximize her utility function.
Determine the optimal quantity x; for each asset that this trader can
(Ъ)
and a =
Describe in words about her preferences correponding to a = 0, a = 1,
= 0.5.
Transcribed Image Text:3. Consider a trader i has following utility function: 1-a U;(X1, x2) = xf x,-ª, where x; refers to the quantity of asset with price pi, and i the total money of this trader to be completely used for trading is M, and during the whole trading process the price of asset remains constant. 1,2 in this case. Suppose (a) buy when she wants to maximize her utility function. Determine the optimal quantity x; for each asset that this trader can (Ъ) and a = Describe in words about her preferences correponding to a = 0, a = 1, = 0.5.
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