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Master Thesis - Humboldt-Universität zu Berlin

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Ê t = Êt−1 + Êt+1 − Êt + (1 − βξ e)(1 − ξ e )<br />

ξ e<br />

(ˆL t − Êt) (64)<br />

Further, the FOC for the other imput factors, oil and imports gives the<br />

following relative quantities:<br />

v j t<br />

O j,t<br />

p<br />

= 1 − ω − ζ<br />

ω<br />

(65)<br />

v j t<br />

M j,t<br />

p<br />

= 1 − ω − ζ<br />

ζ<br />

(66)<br />

Total costs faced by the firms is:<br />

T C j t = W t L j,t + Rt k K j,t + Pt o Op<br />

j,t<br />

+ Pt<br />

M Mp j,t<br />

(67)<br />

Firms can costlessly adjust all factor of production. Thus, the perfect<br />

mobiliy of factors between firms implies that all firms have identical marginal<br />

cost per unit of output, MC t .<br />

· (Rt k ) α<br />

MC t = (1 − ω − ζ)<br />

α α (1 − α) 1−α · ɛ a t<br />

W 1−α<br />

t<br />

+ ω P t<br />

o<br />

+ ζPt M (68)<br />

S t<br />

All profits are distributed at the end of each period to households as<br />

dividents:<br />

Div j t+i = (P j<br />

t+1 − MC t+i )y j t − MC t+i Φ (69)<br />

28

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