1. Use the instructions in the Appendix: Excellent Growth on chapter 8 on LaunchPad to set...
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1. Use the instructions in the Appendix: Excellent Growth on chapter 8 on LaunchPad to set up the Solow model in Excel with the Investment Share, y, equal to 0.3 and with the Depreciation Rate, y, equal to 0.2. Now increase the Investment Share to 0.36. Fill out the blank tiles. a. What is the new level of steady-state capital? (Remember, the level of steady-state capital is where Investment = Depreciation.) b. At the new steady level of capital, what is the level of output Y? Now change the Investment Share back to 0.3 and this time increase the Depreciation Rate to 0.25. Fill out the blank tiles. c. What is the new level of steady-state capital? d. At the steady-state level of capital what is the level of output Y? e. Fill in the blanks with your conclusions: An increase in the investment share An increase in the depreciation rate Capital Output Investment K Y I 1 2 3 4 5 6 7 8 9 PHLBH56 10 11 12 13 14 15 16 1.00 1.41 1.73 2.00 2.24 2.45 2.65 2.83 3.00 3.16 3.32 3.46 3.61 3.74 3.87 4.00 0.30 0.42 0.52 0.60 0.67 0.73 0.79 0.85 0.90 0.95 0.99 1.04 1.08 1.12 1.16 1.20 the steady-state level of capital and output. the steady-state level of capital and output. Depreciation 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00 3.20 New New Investment I Depreciation D Capital K Output Y Investment Depreciation Investment Share Depreciation Rate 1 0.36 1 2 1.414214 0.509116882 3 1.732051 0.623538291 4 2 3 0.36 5 2.236068 0.804984472 6 2.44949 0.881816307 7 2.645751 0.952470472 8 2.828427 1.018233765 9 10 3.162278 1.138419958 11 3.316625 1.193984925 12 3.464102 1.247076581 13 3.605551 1.297998459 14 3.741657 1.346996659 15 3.872983 1.394274005 16 17 4.123106 1.484318025 18 4.242641 1.527350647 19 4.358899 1.56920362 20 4.472136 1.609968944 21 4.582576 1.64972725 22 4.690416 1.688549674 23 4.795832 1.726499348 24 4.898979 1.763632615 25 26 5.09902 1.835647025 27 5.196152 1.870614872 28 5.291503 1.904940944 29 5.385165 1.938659331 30 5.477226 1.971801207 31 5.567764 2.004395171 4 5 0.72 1.08 1.44 1.8 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5 5.2 5.4 5.6 5.8 6 6.2 120 100 80 60 40 20 0 0 100 200 0.2 Chart Title 300 400 ● Output Y Investment ●Depreciation 500 600 1. Use the instructions in the Appendix: Excellent Growth on chapter 8 on LaunchPad to set up the Solow model in Excel with the Investment Share, y, equal to 0.3 and with the Depreciation Rate, y, equal to 0.2. Now increase the Investment Share to 0.36. Fill out the blank tiles. a. What is the new level of steady-state capital? (Remember, the level of steady-state capital is where Investment = Depreciation.) b. At the new steady level of capital, what is the level of output Y? Now change the Investment Share back to 0.3 and this time increase the Depreciation Rate to 0.25. Fill out the blank tiles. c. What is the new level of steady-state capital? d. At the steady-state level of capital what is the level of output Y? e. Fill in the blanks with your conclusions: An increase in the investment share An increase in the depreciation rate Capital Output Investment K Y I 1 2 3 4 5 6 7 8 9 PHLBH56 10 11 12 13 14 15 16 1.00 1.41 1.73 2.00 2.24 2.45 2.65 2.83 3.00 3.16 3.32 3.46 3.61 3.74 3.87 4.00 0.30 0.42 0.52 0.60 0.67 0.73 0.79 0.85 0.90 0.95 0.99 1.04 1.08 1.12 1.16 1.20 the steady-state level of capital and output. the steady-state level of capital and output. Depreciation 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00 3.20 New New Investment I Depreciation D Capital K Output Y Investment Depreciation Investment Share Depreciation Rate 1 0.36 1 2 1.414214 0.509116882 3 1.732051 0.623538291 4 2 3 0.36 5 2.236068 0.804984472 6 2.44949 0.881816307 7 2.645751 0.952470472 8 2.828427 1.018233765 9 10 3.162278 1.138419958 11 3.316625 1.193984925 12 3.464102 1.247076581 13 3.605551 1.297998459 14 3.741657 1.346996659 15 3.872983 1.394274005 16 17 4.123106 1.484318025 18 4.242641 1.527350647 19 4.358899 1.56920362 20 4.472136 1.609968944 21 4.582576 1.64972725 22 4.690416 1.688549674 23 4.795832 1.726499348 24 4.898979 1.763632615 25 26 5.09902 1.835647025 27 5.196152 1.870614872 28 5.291503 1.904940944 29 5.385165 1.938659331 30 5.477226 1.971801207 31 5.567764 2.004395171 4 5 0.72 1.08 1.44 1.8 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5 5.2 5.4 5.6 5.8 6 6.2 120 100 80 60 40 20 0 0 100 200 0.2 Chart Title 300 400 ● Output Y Investment ●Depreciation 500 600
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Elementary Statistics Picturing the World
ISBN: 978-0321911216
6th edition
Authors: Ron Larson, Betsy Farber
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