(d) u2(x) and u3(x) are related. How? [Hint: take the limit of u2(x) as p → 1 by using l'Hopital's rule.] (e) uz (x) is known as CRRA utility, while uz(x) is known as CARA utility. Why?

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(d) u2(r) and uz(x) are related. How? [Hint: take the limit of u2(x) asp → 1 by
using l'Hopital's rule.]
(e) u1 (x) is known as CRRA utility, while u2(x) is known as CARA utility. Why?
Transcribed Image Text:(d) u2(r) and uz(x) are related. How? [Hint: take the limit of u2(x) asp → 1 by using l'Hopital's rule.] (e) u1 (x) is known as CRRA utility, while u2(x) is known as CARA utility. Why?
The questions below refer to the following utility functions, which are often used in
applications. Here r is the agent's income or wealth, and p and a are parameters:
• u (x) = 1– en.
u2(x) = -1
1-p
u3(r) = In(r)
• us(x) = ax
us(x) = r – ar?
Transcribed Image Text:The questions below refer to the following utility functions, which are often used in applications. Here r is the agent's income or wealth, and p and a are parameters: • u (x) = 1– en. u2(x) = -1 1-p u3(r) = In(r) • us(x) = ax us(x) = r – ar?
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