15. Interest rates

Due to the fixed exchange rate policy, the Danish interest rates are largely determined by conditions abroad. They are basically exogenous like foreign prices and foreign demand. In the experiment, both the domestic and foreign interest rates in ADAM are permanently reduced by 1 percentage point i.e. from 3.5 percent in the baseline scenario to 2.5 percent. The experiment does not take into account that a general fall in foreign interest rates can stimulate foreign markets and foreign competitiveness. Thus, the experiment maybe interpreted as a 1 percentage point reduction in the interest rate differential to the Euro zone interest rates. For a broader discussion of the interest rate experiment see grh12912. The following two sections present the effects of reducing interest rates - with and without balanced public budget.

 

hmtoggle_arrow1A. Interest rates

 

Both domestic and foreign interest rates are permanently reduced by 1 percentage point. (See experiment)

 

Table 15a. The effect of a permanent fall in interest rates

    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 -6055 13798 22790 26616 28460 28863 32166 38503 44441 49130
Pub. consumption fCo 247 -492 -1086 -1419 -1579 -1298 -913 -857 -946 -1066
Investment fI 7490 21428 29936 34540 36894 31216 23024 21119 21924 23129
Export fE 3234 5667 7555 8804 9501 4782 -7104 -17800 -24271 -26810
Import fM 1855 16188 22012 24258 25314 21902 17804 16701 16973 17858
GDP fY 2819 24496 37544 44605 48227 41906 29969 25236 25375 27814
    1000 Persons
Employment Q -2.21 12.37 25.36 34.30 39.76 33.38 12.92 0.75 -3.85 -4.48
Unemployment Ul 1.21 -6.82 -13.41 -17.84 -20.50 -16.92 -6.48 -0.33 1.98 2.29
    Percent of GDP
Pub. budget balance Tfn_o/Y -0.72 -1.01 -0.36 0.00 0.20 -0.22 -1.04 -1.46 -1.65 -1.76
Priv. saving surplus Tfn_hc/Y 0.20 -0.60 -1.56 -2.07 -2.34 -1.85 -1.11 -0.92 -0.93 -0.94
Balance of payments Enl/Y -0.52 -1.61 -1.92 -2.07 -2.14 -2.07 -2.15 -2.38 -2.58 -2.69
Foreign receivables Wnnb_e/Y -1.45 -3.62 -5.62 -7.57 -9.52 -18.25 -25.34 -32.04 -38.61 -44.80
Bond debt Wbd_os_z/Y 3.36 3.71 3.60 3.27 2.83 1.84 4.61 9.38 14.51 19.37
    Percent
Capital intensity fKn/fX -0.15 -0.74 -0.98 -0.91 -0.66 1.38 2.74 3.29 3.50 3.56
Labour intensity hq/fX -0.33 -0.67 -0.83 -0.85 -0.83 -0.61 -0.60 -0.68 -0.75 -0.79
User cost uim -5.92 -6.14 -6.23 -6.25 -6.21 -5.59 -5.04 -4.80 -4.77 -4.85
Wage lna -0.09 -0.14 0.07 0.46 0.98 3.94 5.75 6.25 6.10 5.74
Consumption price pcp -0.13 -0.62 -0.99 -1.23 -1.35 -1.09 -0.62 -0.40 -0.40 -0.51
Terms of trade bpe -0.13 -0.27 -0.34 -0.34 -0.30 0.23 0.71 0.92 0.94 0.87
    Percentage-point
Consumption ratio bcp -0.75 -0.26 0.41 0.72 0.87 0.57 0.24 0.24 0.33 0.38
Wage share byw -0.09 -0.07 0.15 0.47 0.82 2.04 2.34 2.26 2.10 1.98

(See details)

 

The lower interest rates have an expansionary effect on both investment and private consumption. The effect on consumption comes primarily from the effect on the housing market. Lower interest rates reduce the cost of capital and the demand for capital increases. The demand for capital including housing capital also increases due to the substitution effect. A substitution effect arises when a change in the relative prices of factors induces producers to use more of a relatively cheaper factor and less of a relatively more expensive factor. The higher capital demand increases investment and house prices. A rise in house price increases housing wealth, and since housing wealth is part of the total private wealth, private consumption increases. However, there is a delay in the response of private consumption to wealth. The decrease in the cost of capital also reduces prices and improves competitiveness, so exports increase in the short run. Thus, the short-run effect is positive on both domestic demand and exports.

 

The strong demand is met by increased domestic production and increased imports, and employment increases and drives wages upward. Despite the rise in wages, output prices fall at first as the cost of capital falls. This immediate positive effect on competitiveness reflects that the interest rate reduction works like a drop in the interest rate differential vis-a-vis the exogenous foreign interest rates. Later on, the wage effects on prices dominate and the wage-driven crowding out brings employment back to the baseline. 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.

 

Private consumption increases permanently due to the positive real wage effect. Real wage effect arises because wages increase/decrease more than the general price levels due to the deadweight from the non-responding exogenous import prices. This creates a positive/negative real wage effect and real disposable income and private consumption increase/decrease permanently. More basically, the long term positive effect on disposable income and private consumption reflects that the interest rate after tax is lower than the growth rate implying that lower private net assets do not harm consumption, see the discussion in the ADAM book. The lower private financial net assets reflect two mechanisms: 1) a decrease in total private wealth due to the decrease in pension savings that follows from the lower return on pension assets and more basically 2) the increase in the housing stock and hence in housing wealth. The desired private financial net assets equal total desired private wealth minus housing wealth. Total desired wealth of the private sector is determined in the long term by the consumption function and income, as income minus consumption represents private savings.

 

The long-term effect on total investment remains positive. The permanent fall in interest rates and the permanent rise in wages imply that capital stocks remain relatively cheaper than labor. So that the capital stock and investments increase permanently. The effect is strongest on housing investment and smallest on businesses building investment. The user cost is based on smaller depreciation rate for buildings than for machinery, so the user cost of business buildings falls more in percentage terms. However, the higher substitution possibility in machinery than in buildings implies that machinery investments rise by more than building investments.

 

The public budget deteriorates in the long term due to lower revenues from the taxation of private net financial income. A tax increase in order to keep the budget balance constant will almost eliminate the positive long-term effect on consumption. In general, the lower interest rate acts as a positive demand shock increasing the demand for capital through lower user costs and increasing the propensity to consume through the negative impact on institutional pension savings.

 

Figure 15a. The effect of a permanent 1 percentage point fall in interest rates

 

fig_15_1a_zoom38fig_15_2a_zoom38

 

 

fig_15_3a_zoom38fig_15_4a_zoom38

 

 

fig_15_5a_zoom38fig_15_6a_zoom38

 

 

fig_15_7a_zoom38fig_15_8a_zoom38

hmtoggle_arrow1B. Interest rates - including supply effects on exports

 

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

 

Table 15b. The effect of a permanent fall in interest rates, 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 -6055 13811 22908 27042 29365 32626 37506 44544 50611 54734
Pub. consumption fCo 247 -494 -1102 -1461 -1660 -1563 -1181 -1030 -1040 -1121
Investment fI 7490 21493 30383 35615 38645 35005 25809 22035 21788 22766
Export fE 3234 5858 8818 11650 14085 14638 -794 -18821 -30666 -34340
Import fM 1855 16308 22844 26247 28630 30136 25679 21722 19463 19125
GDP fY 2819 24638 38504 46879 52013 50751 36385 26355 22957 24736
    1000 Persons
Employment Q -2.21 12.47 26.10 36.19 43.08 42.35 19.31 0.67 -8.46 -10.11
Unemployment Ul 1.21 -6.88 -13.81 -18.84 -22.25 -21.53 -9.71 -0.24 4.36 5.16
    Percent of GDP
Pub. budget balance Tfn_o/Y -0.72 -1.01 -0.34 0.05 0.29 0.02 -0.85 -1.44 -1.72 -1.84
Priv. saving surplus Tfn_hc/Y 0.20 -0.60 -1.56 -2.08 -2.36 -1.94 -1.15 -0.90 -0.91 -0.94
Balance of payments Enl/Y -0.52 -1.61 -1.90 -2.03 -2.08 -1.92 -2.00 -2.33 -2.63 -2.78
Foreign receivables Wnnb_e/Y -1.45 -3.63 -5.64 -7.63 -9.62 -18.25 -24.87 -31.24 -37.91 -44.49
Bond debt Wbd_os_z/Y 3.36 3.70 3.57 3.18 2.65 0.82 2.82 7.53 13.14 18.60
    Percent
Capital intensity fKn/fX -0.15 -0.75 -1.03 -1.02 -0.82 1.15 2.78 3.62 3.93 3.95
Labour intensity hq/fX -0.33 -0.68 -0.85 -0.91 -0.90 -0.70 -0.62 -0.66 -0.74 -0.81
User cost uim -5.92 -6.14 -6.23 -6.25 -6.20 -5.45 -4.68 -4.31 -4.30 -4.49
Wage lna -0.09 -0.14 0.08 0.49 1.05 4.57 7.10 7.89 7.53 6.71
Consumption price pcp -0.13 -0.62 -0.99 -1.22 -1.33 -0.88 -0.11 0.30 0.30 0.05
Terms of trade bpe -0.13 -0.27 -0.33 -0.33 -0.28 0.38 1.05 1.37 1.37 1.19
    Percentage-point
Consumption ratio bcp -0.75 -0.26 0.39 0.69 0.83 0.56 0.24 0.28 0.41 0.49
Wage share byw -0.09 -0.07 0.13 0.45 0.80 2.14 2.60 2.52 2.26 2.01

(See details)

 

Figure 15b. The effect of a permanent fall in interest rates, with supply effects

 

fig_15_1b_zoom38fig_15_2b_zoom38

 

 

fig_15_3b_zoom38fig_15_4b_zoom38

 

 

fig_15_5b_zoom38fig_15_6b_zoom38

 

 

fig_15_7b_zoom38fig_15_8b_zoom38

hmtoggle_arrow1C. Interest rates - balanced budget

 

The experiment in section B is repeated with an increase in income tax rates to balance the public budget.(See experiment)

 

Table 15c. The effect of a permanent fall in interest rates, 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 -6047 -1336 -1915 -4604 -7605 -19526 -24810 -26892 -27718 -27951
Pub. consumption fCo -139 1896 3585 4698 5346 4705 3354 3717 4887 5715
Investment fI 8821 19941 23485 23857 22828 12299 8012 9703 12628 14757
Export fE 3232 6009 9125 12104 14778 21972 23775 25945 28549 29782
Import fM 2384 9863 11326 11029 10404 5713 3653 4777 7061 8917
GDP fY 3260 16518 22635 24476 24179 12274 4928 5815 9314 11329
    1000 Persons
Employment Q -2.26 9.58 17.72 21.57 22.55 9.38 -1.03 -0.80 2.78 4.43
Unemployment Ul 1.23 -5.30 -9.34 -11.16 -11.55 -4.68 0.56 0.39 -1.45 -2.27
    Percent of GDP
Pub. budget balance Tfn_o/Y -0.75 0.32 0.62 0.73 0.75 0.32 0.06 0.07 0.16 0.23
Priv. saving surplus Tfn_hc/Y 0.20 -1.61 -1.94 -1.99 -1.92 -1.01 -0.58 -0.57 -0.62 -0.65
Balance of payments Enl/Y -0.55 -1.29 -1.32 -1.26 -1.17 -0.69 -0.52 -0.49 -0.46 -0.42
Foreign receivables Wnnb_e/Y -1.49 -2.96 -3.96 -4.75 -5.45 -7.43 -8.25 -9.06 -9.88 -10.45
Bond debt Wbd_os_z/Y 3.38 2.64 1.76 0.89 0.07 -2.30 -2.58 -2.46 -2.64 -3.10
    Percent
Capital intensity fKn/fX -0.15 -0.49 -0.53 -0.39 -0.17 0.86 1.08 0.91 0.77 0.78
Labour intensity hq/fX -0.35 -0.52 -0.57 -0.56 -0.55 -0.53 -0.59 -0.61 -0.58 -0.55
User cost uim -5.89 -6.05 -6.11 -6.13 -6.12 -5.99 -5.99 -6.05 -6.04 -5.95
Wage lna -0.09 -0.17 -0.05 0.17 0.44 1.51 1.64 1.48 1.54 1.85
Consumption price pcp -0.13 -0.64 -1.04 -1.35 -1.57 -2.15 -2.51 -2.77 -2.85 -2.79
Terms of trade bpe -0.13 -0.27 -0.36 -0.41 -0.43 -0.38 -0.39 -0.44 -0.44 -0.37
    Percentage-point
Consumption ratio bcp -0.76 0.63 0.73 0.65 0.52 -0.28 -0.64 -0.72 -0.74 -0.74
Wage share byw -0.10 0.03 0.29 0.57 0.82 1.52 1.64 1.67 1.75 1.86

(See details)

 

Figure 15c. The effect of a permanent fall in interest rates, balanced budget

 

fig_15_1c_zoom38fig_15_2c_zoom38

 

 

fig_15_3c_zoom38fig_15_4c_zoom38

 

 

fig_15_5c_zoom38fig_15_6c_zoom38

 

 

fig_15_7c_zoom38fig_15_8c_zoom38