Formulate this maximization problem as a dynamic programming

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Consider the following discrete-time optimal growth model with full depreciation:

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(a) Formulate this maximization problem as a dynamic programming problem.

(b) Argue without solving this problem that there exists a unique value function V (k) and a unique policy rule c = π(k) determining the level of consumption as a function of the level of capital stock.

(c) Solve explicitly for V (k) and π(k).

Reference no: EM131139791

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