On the Equity Premium in Exchange And Production Economies

Cover On the Equity Premium in Exchange And Production Economies
On the Equity Premium in Exchange And Production Economies
Rajnish Mehra
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, Cf, ) be a joint equilibrium process on asset prices and consumption. A necessary condition for equilibrium is that the asset prices a^ be consistent with c^, the optimal consumption for the household with preferences 9^. Thus, if (a^, c^) is an equilibrium then ao - g(cQ, 0. Where g is defined by the first-order necessary conditions for household maximization. This functional relation must hold for all equilibria, regardless of whether they are for a pure exchange or a production economy.
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...t (a„, c^) be an equilibrium for some economy (^n.^f)) with t„ e P. Consider the pure exchange economy with 6 ■, - 6 n^ and t, ~ Cq. Our contention is that (a^, c^) is a joint equilibrium process for asset prices and consumption for the pure exchange economy {6, t, ). For all pure exchange economies, the equilibrium consumption process is r, so c, = t, - Cq, given more is preferred Co less. If Cj^ is the equilibrium process, the corresponding asset price must be g(cQ, 6, ). But 8, - 6^ so g(cQ, ^, ) - gCc^.^j.

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