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. =
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. =
Chapter1: Making Economics Decisions
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.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f705716-5a36-439e-8e0f-46e278af4a2b%2Fac5e0dc7-67b5-4779-9530-43bea443a24a%2Fllxqwyn_processed.png&w=3840&q=75)
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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