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(2.5 points) Suppose you have an economy with production function and capital accumulation equation given respectively by Yt = AK t Lt 1 , Kt
(2.5 points) Suppose you have an economy with production function and capital accumulation equation given respectively by Yt = AK t Lt 1 , Kt 1 Kt = dKt sYt . Basically, the same setting we discussed in class, so you can use all the equations and results from class to answer this question. Assume = 1/3, s = 0.2, d = 0.1, A = 1, and L = 1. (a) Solver for the steady-state output per worker and capital per worker. You can start solving for K and Y . (b) Suppose the economy starts with a level of capital k1 = 0.5. Fill the following table. Year kt = Kt/L yt = Yt/L It = sYt dKt It dKt 1 0.5 2 3 4 5 2 (c) Now, start at k1 = k ss instead of 0.5. Imagine that TFP Doubles, fill the following table. Year kt = Kt/L yt = Yt/L It = sYt dKt It dK
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