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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Indexation. (This problem follows Ball, 1988.) Suppose production at firm i is given by
Â
 Thus in logs,
Â
 Prices are flexible; thus (setting the constant term to 0 for simplicity)
Â
 Aggregating the output and price equations yields
Â
 Wages are partially indexed to prices: w = θp, where 0 ≤ θ ≤ 1. Finally, aggregate demand is given by y = m − p. s and m are independent, mean-zero random variables with variances Vs and Vm.
Â
(a) What are p,y,l, and was functions of m and s and the parameters α and θ? How does indexation affect the response of employment to monetary shocks? How does it affect the response to supply shocks?
Â
(b) What value of θ minimizes the variance of employment?
Â
(c) Suppose the demand for a single firm’s output is
 Suppose all firms other than firm i index their wages by w = θp as before, but that firm i indexes its wage by wi = θip. Firm i continues to set its price as
 The production function and the pricing equation then imply that ![]()
Â

Â
Â
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