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Consider the following modified version of the model of the firm studied in class. The firm lives for two periods, producing output Y in the
Consider the following modified version of the model of the firm studied in class. The firm lives for two periods, producing output Y in the first period, and output Y' in the second period by operating the following technologies: Y = zF(K,N), and Y' = Z'H(K'), where K (K') denote physical capital in the first (second) period, Nd is labour demanded in the first period, and z (z') denotes total factor productivity (henceforth TFP) in the first (second) period. The function F is increasing in both arguments, it is concave, and it satisfies constant returns to scale. The function H is increasing and concave. The firm hires labour in a competitive market at the wage w. Capital in the first period K is fixed, and physical capital depreciates at a rate of 100%, so that K' = 1, where I denotes investment. Assume that the level of future total factor productivity is uncertain. Specifically, z' = Zh with probability (0,1), and z' = zz with probability pl = 1-h, where z
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