13. Productivity - capital efficiency

Improvement in machinery efficiency can raise the production capacity of an economy. Alternatively, the same amount of output can be produced with less capital, which makes production less capital intensive, with the usual measure of capital. If, however, capital is measured in efficiency units, production will become more capital intensive, which raises productivity and production in the long run.

 

hmtoggle_arrow1A. Capital efficiency

 

In the following, machinery efficiency is increased by 1 percent permanently. (See experiment)

 

Table 13a. The effect of a permanent increase in machinery efficiency

    1. yr 2. yr 3. yr 4. yr 5. yr 10. yr 15. yr 20. yr 25. yr 30. yr
    Million 2010-Dkr.
Priv. consumption fCp -165 -130 -413 -190 5 527 600 739 1023 1350
Pub. consumption fCo 0 -17 -32 -46 -59 -113 -155 -189 -217 -243
Investment fI -2437 -3205 -2079 -1585 -1311 -681 -759 -1009 -1187 -1314
Export fE 373 653 982 1330 1684 3271 4153 4319 4077 3740
Import fM -2284 -2111 -1602 -1219 -991 -337 -184 -210 -281 -388
GDP fY -59 -738 -123 520 1074 2991 3606 3624 3523 3461
    1000 Persons
Employment Q -3.31 -3.22 -2.86 -2.37 -1.84 0.54 1.40 1.25 0.79 0.33
Unemployment Ul 2.05 1.85 1.63 1.35 1.04 -0.33 -0.81 -0.72 -0.45 -0.19
    Percent of GDP
Pub. budget balance Tfn_o/Y 0.01 0.02 0.03 0.05 0.07 0.15 0.17 0.18 0.18 0.19
Priv. saving surplus Tfn_hc/Y 0.11 0.11 0.08 0.05 0.03 -0.03 -0.02 0.00 0.01 0.01
Balance of payments Enl/Y 0.12 0.13 0.11 0.10 0.10 0.12 0.15 0.18 0.19 0.19
Foreign receivables Wnnb_e/Y 0.22 0.43 0.55 0.65 0.73 1.14 1.59 2.08 2.58 3.04
Bond debt Wbd_os_z/Y 0.01 0.01 -0.02 -0.06 -0.12 -0.62 -1.22 -1.77 -2.24 -2.65
    Percent
Capital intensity fKn/fX 0.16 0.07 0.01 -0.03 -0.07 -0.15 -0.14 -0.11 -0.09 -0.07
Labour intensity hq/fX 0.07 0.03 0.01 -0.01 -0.02 -0.03 -0.02 -0.01 -0.01 -0.01
User cost uim -0.02 -0.03 -0.04 -0.06 -0.07 -0.12 -0.11 -0.08 -0.05 -0.03
Wage lna -0.04 -0.10 -0.16 -0.20 -0.24 -0.30 -0.22 -0.11 -0.02 0.03
Consumption price pcp -0.02 -0.05 -0.08 -0.10 -0.12 -0.18 -0.18 -0.15 -0.12 -0.10
Terms of trade bpe -0.03 -0.05 -0.07 -0.08 -0.10 -0.14 -0.14 -0.11 -0.09 -0.08
    Percentage-point
Consumption ratio bcp 0.00 0.05 0.01 0.02 0.03 0.06 0.06 0.04 0.04 0.05
Wage share byw -0.04 -0.02 -0.04 -0.05 -0.06 -0.04 0.01 0.04 0.06 0.07

(See details)

 

As the efficiency of machines improves, the stock of machinery is reduced, and investment in machinery falls. The lower investment demand reduces production in the short run which further reduces machinery investment. Due to the high import content of machinery investments, imports also fall in the short run. The fall in machinery reduces capital cost and output prices, and the higher unemployment reduces wages. The combined effect is a fall in prices and the price effect occurs relatively quick due to the initial shock to efficiency. As prices fall competitiveness improves and hence exports and production rise. Over time employment returns to the baseline through the wage-driven crowding out. The wage relation in ADAM is a Phillips curve, which links the changes in wages to unemployment. A fall/rise in unemployment pushes wages and hence prices upward/downward and reduces/improves competitiveness. So exports and production decrease/increase and over time unemployment returns to its baseline. This is the wage-driven crowding out process. It may be noted that output per man hour increases in the long term as the higher efficiency of machines induces the substitute of machinery for labor.

 

Private consumption falls initially but in the long run it rises. This is because real income falls at first before it permanently increases. It is noted that the higher machinery efficiency will also stimulate the real income of transfer recipients. There is a permanent fall in machinery investment since the lower machinery inventory requires lower reinvestment. In the long run there is a slight positive effect on the nominal wage and a negligible impact on exports.

 

Public finances deteriorate first as transfer payments to the unemployed increase in the short run and improves in the long run.

 

Figure 13a. The effect of a permanent increase in machinery efficiency

 

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fig_13_3a_zoom38fig_13_4a_zoom38

 

 

fig_13_5a_zoom38fig_13_6a_zoom38

 

 

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hmtoggle_arrow1B. Capital efficiency - including supply effects on exports

 

The experiment in section A is repeated accompanied by improved export performance.(See experiment)

 

Table 13b. The effect of a permanent increase in machinery efficiency, with supply effects

    1. yr 2. yr 3. yr 4. yr 5. yr 10. yr 15. yr 20. yr 25. yr 30. yr
    Million 2010-Dkr.
Priv. consumption fCp -165 -139 -452 -255 -75 499 715 994 1396 1807
Pub. consumption fCo 0 -17 -32 -46 -59 -113 -155 -190 -220 -246
Investment fI -2437 -3244 -2158 -1679 -1403 -639 -553 -763 -998 -1208
Export fE 373 514 764 1082 1443 3415 4754 5015 4488 3707
Import fM -2284 -2199 -1758 -1405 -1178 -275 225 369 271 28
GDP fY -59 -835 -299 301 850 3081 4108 4233 3945 3591
    1000 Persons
Employment Q -3.31 -3.30 -3.02 -2.59 -2.08 0.58 1.89 1.85 1.15 0.34
Unemployment Ul 2.05 1.90 1.72 1.47 1.17 -0.36 -1.10 -1.06 -0.66 -0.19
    Percent of GDP
Pub. budget balance Tfn_o/Y 0.01 0.02 0.02 0.04 0.06 0.15 0.18 0.19 0.19 0.19
Priv. saving surplus Tfn_hc/Y 0.11 0.11 0.08 0.05 0.03 -0.03 -0.03 -0.01 0.01 0.01
Balance of payments Enl/Y 0.12 0.13 0.11 0.10 0.10 0.12 0.16 0.19 0.19 0.20
Foreign receivables Wnnb_e/Y 0.22 0.43 0.56 0.65 0.74 1.13 1.57 2.08 2.59 3.07
Bond debt Wbd_os_z/Y 0.01 0.01 -0.01 -0.05 -0.11 -0.60 -1.24 -1.84 -2.34 -2.75
    Percent
Capital intensity fKn/fX 0.16 0.08 0.02 -0.02 -0.06 -0.15 -0.16 -0.12 -0.09 -0.05
Labour intensity hq/fX 0.07 0.04 0.01 0.00 -0.01 -0.03 -0.03 -0.02 -0.02 -0.01
User cost uim -0.02 -0.03 -0.04 -0.06 -0.08 -0.12 -0.11 -0.07 -0.02 0.01
Wage lna -0.04 -0.10 -0.16 -0.21 -0.25 -0.32 -0.21 -0.05 0.07 0.14
Consumption price pcp -0.02 -0.05 -0.08 -0.10 -0.12 -0.19 -0.18 -0.14 -0.09 -0.05
Terms of trade bpe -0.03 -0.05 -0.07 -0.08 -0.10 -0.14 -0.14 -0.10 -0.07 -0.05
    Percentage-point
Consumption ratio bcp 0.00 0.05 0.01 0.02 0.03 0.06 0.05 0.04 0.04 0.05
Wage share byw -0.04 -0.02 -0.04 -0.05 -0.06 -0.05 0.01 0.06 0.08 0.09

(See details)

 

Figure 13b. The effect of a permanent increase in machinery efficiency, with supply effects

 

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fig_13_3b_zoom38fig_13_4b_zoom38

 

 

fig_13_5b_zoom38fig_13_6b_zoom38

 

 

fig_13_7b_zoom38fig_13_8b_zoom38

hmtoggle_arrow1C. Capital efficiency - balanced budget

 

The experiment in section B is repeated, where the income tax rates are reduced to balance the public budget.(See experiment)

 

Table 13c. The effect of a permanent increase in machinery efficiency, balanced budget

    1. yr 2. yr 3. yr 4. yr 5. yr 10. yr 15. yr 20. yr 25. yr 30. yr
    Million 2010-Dkr.
Priv. consumption fCp -265 497 749 1441 2052 4122 5356 6211 6631 6660
Pub. consumption fCo -785 -826 -706 -487 -233 821 847 95 -734 -1123
Investment fI -3009 -3983 -2036 -849 -66 1639 1150 -35 -967 -1323
Export fE 418 564 823 1173 1574 3196 2675 462 -1541 -1935
Import fM -2639 -2346 -1326 -486 126 2089 2386 1521 365 -332
GDP fY -1117 -1537 6 1603 3021 7453 7434 5073 2924 2483
    1000 Persons
Employment Q -5.11 -4.91 -3.54 -1.89 -0.23 5.41 4.87 1.07 -2.22 -3.18
Unemployment Ul 3.16 2.82 1.97 1.01 0.06 -3.14 -2.78 -0.58 1.30 1.83
    Percent of GDP
Pub. budget balance Tfn_o/Y 0.05 -0.04 -0.04 -0.01 0.02 0.10 0.07 0.01 -0.02 -0.03
Priv. saving surplus Tfn_hc/Y 0.10 0.18 0.12 0.06 0.01 -0.09 -0.06 -0.01 0.01 0.00
Balance of payments Enl/Y 0.15 0.14 0.09 0.05 0.03 0.00 0.01 0.00 -0.02 -0.03
Foreign receivables Wnnb_e/Y 0.29 0.52 0.58 0.57 0.53 0.17 -0.06 -0.09 -0.05 -0.03
Bond debt Wbd_os_z/Y 0.00 0.05 0.07 0.07 0.04 -0.30 -0.60 -0.63 -0.49 -0.31
    Percent
Capital intensity fKn/fX 0.19 0.09 -0.01 -0.09 -0.14 -0.19 -0.04 0.12 0.20 0.19
Labour intensity hq/fX 0.06 0.01 -0.02 -0.04 -0.05 -0.04 -0.02 -0.03 -0.04 -0.06
User cost uim -0.03 -0.07 -0.10 -0.12 -0.13 -0.08 0.06 0.16 0.17 0.10
Wage lna -0.06 -0.15 -0.22 -0.27 -0.29 -0.04 0.42 0.68 0.63 0.39
Consumption price pcp -0.03 -0.06 -0.09 -0.12 -0.13 -0.10 0.04 0.16 0.19 0.14
Terms of trade bpe -0.03 -0.06 -0.08 -0.10 -0.11 -0.09 0.01 0.08 0.10 0.05
    Percentage-point
Consumption ratio bcp 0.02 0.00 -0.02 0.01 0.04 0.10 0.10 0.10 0.12 0.13
Wage share byw -0.05 -0.04 -0.07 -0.09 -0.09 0.04 0.17 0.20 0.14 0.05

(See details)

 

Figure 13c. The effect of a permanent increase in machinery efficiency, balanced budget

 

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fig_13_5c_zoom38fig_13_6c_zoom38

 

 

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