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QUESTION 1 Ramsey Cass Koopmans model. (a) Consider the Ramsey Cass Koopmans model where
kat time 0 (which as always the model takes as given) is at the golden-rule level:
k(0)=K^(GR)Sketch the paths of
cand
k. (b) Consider the same initial situation as in part (a), but in the version of the model that includes government purchases. Assume that
Gis constant and equal
/bar (G). Crucially,
/bar (G)Gis strictly less than
,f(K^(GR))-(n+g)K^(GR)and strictly greater than
f(k**)-(n+g)k**(where
k**is the level of
kon the balanced growth path the economy would have if
Gwere constant and equal to 0 ).
