Consider two economics, A and B. Both economies have the same population, supply of fiat money, and endowments. In each economy, the number of young people born in each period is constant an N, and the supply of fiat money is constant at M. Furthermore, each person is endowed with y units of the consumption good when young and zero when old. The only difference between the economies is with regard to preferences, in economy A, utility function is UA(C₁, C₂) = log(c₁) + log(₂), while in economy B, utility function is given by: UA(C₁, C₂) = log(c₁) + 2log(c₂). We will also assume stationarity. 1. Will there be a difference in the rates of return of fiat money in the two economics? If so, which economy will have the higher rate of return of fiat money? 2. Will there be a difference in the value of money in the two economics? If so, which economy will have the higher value of money?