Heterogeneity in an endowment economy Suppose we have two types of households: A and B. The utility maximization problem for a consumer of type i is                 max     InCi,t+β ln Ci,t+1               Ct,Ct+1 subject to             Ci,t +Ci,t+1/ 1 + rt  = Yi,t +  Yi,t+1 / 1 + rt Note that the A and B households have the same discount rate and the same utility function. The only thing that is possibly different is their endowments.   1, Write down the Euler equation for households A and B.

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Heterogeneity in an endowment economy Suppose we have two types
of households: A and B. The utility maximization problem for a consumer
of type i is
                max     InCi,t+β ln Ci,t+1
              Ct,Ct+1

subject to 

           Ci,t +Ci,t+1/ 1 + r = Yi,t +  Yi,t+1 / 1 + rt

Note that the A and B households have the same discount rate and the same utility function. The only thing that is possibly different is their endowments.

 

1, Write down the Euler equation for households A and B.

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