Question A.3 (iv) Consider an economy with a single physical commodity and uncertainty captured by two states of nature S = {a,b}. This economy is endowed with markets for two assets with payoffs r] = [1 2] and r = [2 0] in states a and b respectively. There are on aggregate ten units of the commodity available in each state of nature. The economy is populated by two individuals h, k. Individual h has preferences Un (xħ(a), xħ(b)) = log äħ(a) + log ¤ħ (b). At equilibrium, x₁(a) 6 while x(b) = 2xk(a). Find equilibrium asset prices and allocation of the commodity in each state. =

Microeconomic Theory
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ISBN:9781337517942
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Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
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Question A.3 (iv) Consider an economy with a single physical commodity and
uncertainty captured by two states of nature S {a,b}. This economy is endowed
with markets for two assets with payoffs r = [1 2] and r = [2 0] in states a and b
respectively. There are on aggregate ten units of the commodity available in each
state of nature. The economy is populated by two individuals h, k. Individual h has
preferences Un (n(a), xn (b)) = log xħ(a) + log äħ (b).
At equilibrium, x₁(a) 6 while x(b) = 2xk(a). Find equilibrium asset prices
and allocation of the commodity in each state.
=
Transcribed Image Text:= Question A.3 (iv) Consider an economy with a single physical commodity and uncertainty captured by two states of nature S {a,b}. This economy is endowed with markets for two assets with payoffs r = [1 2] and r = [2 0] in states a and b respectively. There are on aggregate ten units of the commodity available in each state of nature. The economy is populated by two individuals h, k. Individual h has preferences Un (n(a), xn (b)) = log xħ(a) + log äħ (b). At equilibrium, x₁(a) 6 while x(b) = 2xk(a). Find equilibrium asset prices and allocation of the commodity in each state. =
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