6.13. Consider an economy consisting of some firms with flexible prices and some with rigid prices. Let

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6.13. Consider an economy consisting of some firms with flexible prices and some with rigid prices. Let p denote the price set by a representative flexible-price firm and p' the price set by a representative rigid-price firm. Flexible-price firms set their prices after m is known; rigid-price firms set their prices before m is known. Thus flexible-price firms set pl = p = (1-6)p + om, and rigid- price firms set pr = Ep = (1-6)Ep+ Em, where E denotes the expectation of a variable as of when the rigid-price firms set their prices. ap" Assume that fraction (1-9)pf. of firms have rigid prices, so that p =

(a) Find pf in terms of p', m, and the parameters of the model (o and q).

(b) Find p' in terms of Em and the parameters of the model.

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(c) (i) Do anticipated changes in m (that is, changes that are expected as of when rigid-price firms set their prices) affect y? Why or why not (ii) Do unanticipated changes in m affect y? Why or why not?

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