Maurice Tutor

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Category > Management Posted 15 Jan 2018 My Price 7.00

first-order condition

Suppose an individual lives for two periods and has utility ln C1 + ln C2.

(a) Suppose the individual has labor income of Y1 in the first period of life and zero in the second period. Second-period consumption is thus (1 + r )(Y1 − C1); r, the rate of return, is potentially random. (i) Find the first-order condition for the individual’s choice of C1.

(ii) Suppose r changes from being certain to being uncertain, without any change in E[r ]. How, if at all, does C1 respond to this change?

(b) Suppose the individual has labor income of zero in the first period and Y2 in the second. Second-period consumption is thus Y2 − (1 + r )C1. Y2 is certain; again, r may be random.

(i) Find the first-order condition for the individual’s choice of C1.

(ii) Suppose r changes from being certain to being uncertain, without any change in E[r ]. How, if at all, does C1 respond to this change?

Answers

Maurice Tutor
(5)
Status NEW Posted 15 Jan 2018 09:01 PM My Price 7.00

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