Ramsey Cass Koopmans model. (a) Consider the Ramsey Cass Koopmans model where k at time 0 (which as always the model takes as given) is at the golden-rule level: k(0) = KGR Sketch the paths of c and k. (b) Consider the same initial situation as in part (a), but in the version of the model that includes government purchases. Assume that G is constant and equal G. Crucially, G G is strictly less than f (KGR) (n + g) KGR and strictly greater than f (k*) − (n + g)k* (where k* is the level of k on the balanced growth path the economy would have if G were constant and equal to 0). Sketch the paths of c and k. Note: I am particularly interested in the sketches.
Ramsey Cass Koopmans model. (a) Consider the Ramsey Cass Koopmans model where k at time 0 (which as always the model takes as given) is at the golden-rule level: k(0) = KGR Sketch the paths of c and k. (b) Consider the same initial situation as in part (a), but in the version of the model that includes government purchases. Assume that G is constant and equal G. Crucially, G G is strictly less than f (KGR) (n + g) KGR and strictly greater than f (k*) − (n + g)k* (where k* is the level of k on the balanced growth path the economy would have if G were constant and equal to 0). Sketch the paths of c and k. Note: I am particularly interested in the sketches.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Ramsey Cass Koopmans model.
(a) Consider the Ramsey Cass Koopmans model where k at time 0 (which as always the model
takes as given) is at the golden-rule level: k(0) = KGR
Sketch the paths of c and k.
(b) Consider the same initial situation as in part (a), but in the version of the model that includes
government purchases. Assume that G is constant and equal G. Crucially, G G is strictly less
than f (KGR) (n + g) KGR and strictly greater than f (k*) − (n + g)k* (where k* is the level of
k on the balanced growth path the economy would have if G were constant and equal to 0).
Sketch the paths of c and k.
Note: I am particularly interested in the sketches.
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