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This question applies to parts 1-10. 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 1-10. 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 three possible states of nature: a good weather state (G), a fair weather state (F), and a bad weather state (B). The state at date zero is known. There is one non-storable consumption good, apples. There is one representative consumer in the economy. The endowment of apples at time 0, is 2. At time 1 the endowment of apples is state- dependent. The physical probabilities, 11, and state-dependent endowments, e, of the states at time 1 are given in the table: State Probability Endowment G 0.5 3 0.2 2 0.3 1 The expected utility is given by 1:.(60) l ,8le - \"(CG) + TFF - u(cF) + 1r}; - u(cB)], where the instantaneous utility function is: 'u. (c) : 111(0) (natural logarithm). The consumer's time discount factor, B, is 0.95. In this economy, only atomic (Arrow-Debreu) securities can be traded. Note: round your answers to 2 decimal places if necessary. 1) How many different atomic (Arrow-Debreu) securities is required for this market to be complete? 3 2) Compute the equilibrium fair weather state price: C] 3) Compute the equilibrium traded quantity of the fair weather atomic (Arrow-Debreu) security: C] 4) Compute the equilibrium quantity consumed in the fair weather state: C] 5 In this Arrow-Debreu econom market-clearin conditionsim I that 6) The Lagrangian in this setting is used to: 0 7) The agent in this economy isl e l 8) The risk-neutral probability of the good weather state is l l 9) Assume now that the instantaneous utility is 'u. (c) : 106 and all other parameters remain the same. Compute the discount factor: C] 10) Assume again that the instantaneous utility is u (c) : 100 and all other parameters remain the same. Compute the risk premium of the fair weather atomic (Arrow-Debreu) security: C] Please answer all parts of the
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