Question: In the text we focus attention on the case in which household utility features a finite intertemporal substitution elasticity. As an extension we now

In the text we focus attention on the case in which household

In the text we focus attention on the case in which household utility features a finite intertemporal substitution elasticity. As an extension we now study the case for which marginal utility is constant. The lifetime utility function (13.57) is replaced by: A (0) E = Lo c(t)e Pdt, where c(t) is consumption per worker. We study the social planning solution to the household optimization problem. The fundamental differential equation for the capital stock per worker, k(t), is: k(t) = f (k(t)) c(t) (8+n) k(t), (Q13.23) where y(t) = f (k(t)) is output per worker. The production function satisfies the In- ada conditions and there is no technological progress. The solution for consumption must satisfy the following constraints: c(t) f (k(t)), (Q13.24) where is some minimum consumption level (it is assumed that 0

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