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1. Technology and the Industrial Revolution Global Income, Maddison Historical Estimates Ind. 0500 1000 Year 1500 2000 Suppose Britains economy in the year 1500 is described by the following production function and parameters: s0.2 δ 0.1 The capital stock is K15001 1.1.Fill in the following table, which will give us a sense of how Britains economy evolved in the centuries before the Industrial Revolution. Year Capital Kt GDPY InvestmentI Depreciation Dt GDP growth rate from previous yea 1500 1501 1502 1.2. Make a graph with GDP on the vertical axis and time on the horizontal axis. 1.3.If Britain kept the same level of technology AT forever, what would be its capital stock in the long run? What would be its GDP? What would be the total growth in GDP from 1500 until it reached its steady-state (as a percentage of GDP in 1500)?
1.4.Draw a steady-state diagram showing Britain before the industrial revolution. Label the capital stock in 1500 through 1502 as well as steady-state capital, steady-state investment, and steady- state output 1.5.Now suppose the Industrial Revolution begins, and the level of technology rises to AT 4. All other parameters are exactly as before the Industrial Revolution. What is the new steady-state level of capital and GDP? 1.6.Draw the shift in the production function and the investment curve on your steady-state diagram. Label the new steady-state level of capital, the new steady-state level of output, and the new steady-state level of investment.
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Assumim AT- I ~ow-the cafital acumulahon formula Ye() 2. Assumim t 1500 Lompeed below SOO, 1So1, and S02 3. A +ne steady state Kt Kc -1 e k* or K Once tru K Yeacheo 8, 나reaches ste stake

GDP Yt 1.14 1.12 1.1 1.08 1.06 1.04 1.02 0.98 1500 1501 1502 Time

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