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Question: 6consider the following utility maximization of some consumer over time...

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6.Consider the following utility maximization of some consumer over time. Max dt subject to a(0)a(T)-0 a(t)-w(t)x1+r(t)xa(t)-ct) where w(t) and r(t) are given paths of real wages and the real rate of return of the single asset and σ # 1 is a positive constant. The parameter c represents the minimum a(t)- w(t)x1+r(t)xa(t)-c(t), subsistence level of consumption. Compute the Euler equation.

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