1. Assume that an agent lives for 2 periods. She has an exogenous certain endowment y1 at time 1 but {s*, s'}, exogenous uncertain endowments for 2. There are two possible states that can be realized in the future s = which makes future consumption levels uncertain as well denoted as c2,8. Probability of state sh being realized is T(s") and for s' this probability is 7(s'). Assume that financial markets are complete and time t price of an AD security that pays 1 at time 2 in state s is given by q(s). The time t quantity of the AD security that pays 1 at time t +1 in state s is denoted by x(s). Assume that households have the following utility function: cl-y U = 1-Y (a) Derive the absolute and relative risk aversion of the agent and compare it with its IES. Give proper economic explanation about the connection between risk aversion and IES.

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Chapter1: Making Economics Decisions
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Assume that an agent lives for 2 periods. She has an exogenous certain endowment Yı at time 1 but
{s* ,s'},
1.
exogenous uncertain endowments for 2. There are two possible states that can be realized in the future s =
which makes future consumption levels uncertain as well denoted as c2.3. Probability of state sh being realized is 7(sh)
and for s' this probability is (s'). Assume that financial markets are complete and time t price of an AD security that
pays 1 at time 2 in state s is given by q(s). The time t quantity of the AD security that pays 1 at time t +1 in state s
is denoted by x(s). Assume that households have the following utility function:
cl-y
U =
1 - Y
(a) Derive the absolute and relative risk aversion of the agent and compare it with its IES. Give proper economic
explanation about the connection between risk aversion and IES.
Transcribed Image Text:Assume that an agent lives for 2 periods. She has an exogenous certain endowment Yı at time 1 but {s* ,s'}, 1. exogenous uncertain endowments for 2. There are two possible states that can be realized in the future s = which makes future consumption levels uncertain as well denoted as c2.3. Probability of state sh being realized is 7(sh) and for s' this probability is (s'). Assume that financial markets are complete and time t price of an AD security that pays 1 at time 2 in state s is given by q(s). The time t quantity of the AD security that pays 1 at time t +1 in state s is denoted by x(s). Assume that households have the following utility function: cl-y U = 1 - Y (a) Derive the absolute and relative risk aversion of the agent and compare it with its IES. Give proper economic explanation about the connection between risk aversion and IES.
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