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This question applies to parts 110. It contains drop-down multiple choice and numerical questions. Consider a world in which there are only two dates: 0
This question applies to parts 110. It contains drop-down multiple choice and numerical questions. Consider a world in which there are only two dates: 0 and 1. At date 1 there are two possible states of nature: A and B. The state at date zero is known. There is one non-storable consumption good, apples. There are two consumers in the economy. The endowment of apples at time 0 is equal to 2 for each consumer. At time 1 the endowment of apples is state-dependent. State physical probabilities, 11, and state-dependent endowments, e, for each consumer at time 1 are given in the table: -Probabi|ity Agent 1 endowment Agent 2 endowment III B 0.4 2 4 The expected utility is the same for both consumers and is given by Co + BIGTA - u(CA) + 7TB - 11163)], where the instantaneous utility at time 0 is linear and isjust equal to consumption; the instantaneous utility at time 1 is given by 11(0) : ]Il(c) (natural logarithm). The consumer's time discount factor, B, is 0.90 for both consumers. In this economy, only atomic (Arrow-Debreu) securities can be traded. Note: round your answers to 3 decimal places if necessary. 1) Compute the equilibrium consumption of consumer 2 in state A: C] 2) Compute the equilibrium state A price: C] 3) Consumer 2 will E] state A atomic security. 4) The equilibrium traded quantity of state A atomic security by consumer 2 is C] 5 In this Arrow-Debreu econom in the e uilibrium 6) When trade is possible, in equilibrium A v lcomparing to the situation of no trade 7) Compute the realised value of the stochastic discount factor in state A C] For parts 8-10 suppose that there are no atomic (Arrow-Debreu) securities available to trade, but instead, there are two securities, a stock which pays 2.5 apples in A and 1 apple in B and a put option on this stock with a strike value of 2. 8) In this case, the market will bel 9) In equilibrium, E] units of stock will be traded. 10) Compute the equilibrium price of the put option: C] 0
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