Refer to the cash-in-advance model in Lecture Notes "Money and inflation". Here we consider a simpler two-period version: Consumer problem Choose (c,C,S,M) to maximize U(C, C) subject to Pc M (i) Pc+S+Mpy (ii) (iii) P2C2 P2Y2 +S(1+R)+M (iv) M0,c, 0, c 0 (1) a) Show that the consumer will always choose to borrow (S