# Introduction

A series of multiplier analyses that illustrate the properties of ADAM are presented below. The calculations are made with the model version October-2015 using the baseline lang15. The current model version is described in detail in the working paper tmk170215. The present model is most of all a reestimation caused by the new national account and therefore in many respect similar to its predecessor, October-14 model version. A number of papers - for example on estimation, data construction or model analysis - can be found on the homepage www.dst.dk/adam. The multiplier analyses are based on a baseline. The baseline represents a solution with respect to the endogenous variables given a stylized projection of the exogenous variables. The present baseline, lang15, is based on the historical data bank from October 2015 that contains annual historical data up to and including 2014. The baseline is based on a scenario with steady-state growth driven by domestic growth in productivity. The chosen growth rates reflect historical growth rates in the Danish economy. Demography and labor supply are assumed to be unchanged. So that the number and structure of the population is assumed to be unchanged. Productivity growth in the Danish economy is assumed to be 1.5 percent per annum. The growth in the market for Danish exports is likewise assumed to be 1.5 percent. Import prices and competitive prices in the export market are assumed to grow by 2 percent annually. In steady-state the domestic prices and costs will grow by 2 percent like foreign prices, and the Danish GDP will grow by 1.5 percent reflecting the annual productivity growth. This development in output is achieved by assigning the growth in productivity to labor and this is reflected by a corresponding increase in real wages of 1.5 percent. The real interest rate is constant and fixed at 1.5 percent, like the growth rate of labor productivity. Thus, the Danish economy can grow in steady state with unchanged demand structure, unchanged composition of output and income, unchanged economic policy, unchanged tax and public expense burden, and unchanged sectoral composition etc. The replacement rate of unemployment insurance is also unchanged and the equilibrium level of unemployment is approximately 100.000 (4 percent). Overall, it is a baseline of the Danish economy repeating itself into the future roughly as we know it today with a real growth of 1.5 percent and an inflation rate of 2 percent. In the short term, it is necessary to allow for deviations while variables are adjusting to steady state but the equilibrium scenario is achieved within a short time frame. For a discussion of the structure and construction of the baseline scenario see chapter 10 in the ADAM book, which is also available for download. The different experiments are carried out by changing one or a few of the exogenous variables. Then the model is simulated to calculate the effect on the endogenous variables and this creates a new solution called an alternative scenario. The multipliers for the endogenous variables are calculated as the difference between the values in the alternative scenario and the baseline scenario. The multipliers reported in graphs and tables are calculated either as a simple or relative differences depending on the nature of the variables. A word of caution is necessary when reading the text, when a certain endogenous variable is said to increase or decrease following a given shock it should be interpreted as increase or decrease compared to the baseline values. The purpose is to illustrate the properties of ADAM. There is no provision for possible ties between the exogenous variables. This means that one has to be careful in the interpretation of the experiments as real world economic events are rarely confined to changes in one exogenous variable. For example, in the interest rate experiment in section 15 below, the potential effect of interest rate changes on foreign demand are not taken into account, see grh12912 for more. It is worth noting the premise that before we introduce a shock to the model, the economy is following a baseline, which ends up in steady-state equilibrium. Economic policy-induced shocks to ADAM may be directed against short-run deviations from the steady state, i.e. stimulating the economy if the present unemployment is above its long-run equilibrium; or the shocks may try to change the steady state, for example, increasing the labor supply in order to expand the scope for private and public consumption or increasing energy taxes to reduce the input of energy in output and consumption. It should also be noted that the standard version of ADAM has no fiscal reaction function which would automatically ensure the sustainability of public finances. Without a reaction function the government budget balance can become permanently negative or positive depending on the experiment. It may be appropriate to accompany shocks to the model by say a tax change to balance the public budget. The discussion on each of the experiments is presented briefly, a detailed discussion of the key mechanisms in ADAM can be found in chapter 11 in the ADAM book. The experiments concern the following exogenous variables or groups of variables:
1. | General government purchase of goods | 11. | Labor supply - working hours
2. | General government employment | 12. | Productivity - labor efficiency
3. | General government investment in buildings | 13. | Productivity - machinery efficiency
4. | General government investment in machinery | 14. | Productivity - efficiency of labor and capital
5. | Foreign demand | 15. | Interest rates
6. | Income tax rates | 16. | Private consumption
7. | Indirect tax rates | 17. | Hourly wages
8. | Foreign prices |  |
9. | Oil prices |  |
10. | Labor supply - number of workers |  |
All experiments are chosen to be expansionary in order to facilitate comparison. In some of the experiments, the positive effect on activity is temporary and in others the effect is permanent. In general, a demand shock in ADAM e.g. an additional public purchase of goods affects production and employment in the short run. However, in the long run a pure demand shock has no or little effect on employment. A long-term employment effect of zero is a general result for a small open economy with fixed exchange rate and a Phillips curve. In contrast, a supply shock such as an increase in the labor force has a permanent effect on employment and output, and an increase in efficiency has a permanent effect on output. In the first half of the analysis, the shocks expand aggregate demand. In most cases policy instruments are used to stimulate domestic demand, and in other cases foreign variables and interest rates change. Experiment 1-5 affect the volume of aggregate demand directly and the short-term impact on GDP is significant. In experiment 6, demand increases indirectly due to the increase in disposable income and the short-term impact on GDP is smaller than the previous cases. In experiment 7-9 aggregate demand also expands indirectly through the effect on prices and real income, ditto the effect on output is smaller. Experiment 1-4 and 6-7 present a shock to fiscal policy instrument variables. In all cases the shock is calibrated to have a direct impact of the equivalent of 0.1 percent of GDP on public budget in the first year. Experiment 5 and 8-9 shock foreign demand and prices. Experiment 10-15 present supply shocks. Experiments 10-12 are different but comparable shocks to the labor supply, cf. rbj14512. Experiment 12 concerns labor productivity and can also be compared with experiment 13-14 that shock the efficiency of other production factors. Experiment 15 describes a shock to interest rates. Experiment 16-19 are somewhat different from the other experiments. Experiment 16 and 17 show the effect of a temporary shock to two of the model's central relations, namely private consumption relation and wage relation. In experiment 18 and 19 a budget restriction is introduced. Experiment 18 introduces a budget restriction to the public purchase of goods and services experiment in section 1, and experiment 19 introduce the same budget restriction to the labor supply shock in section 10. Thus, the effect of a fiscal budget restriction is shown both for a demand shock and a supply shock. Experiment 20 is a shock to labor supply like section 10 but with higher export price elasticities. Thus, the wage will have to decrease less for the same effect on export. Finally we should note that comparison with models from other countries may be difficult, for example due to different budget restrictions. Special Danish conditions (e.g. regulatory mechanisms in taxes and transfers etc) incorporated in ADAM produce distinct multipliers and make comparison with other countries difficult. As mentioned, the interest and exchange rates are exogenous in ADAM because the Danish economy is modeled as a credible shadow member of the euro zone. Note also that expectations in ADAM are adaptive or constant, i.e. constant inflationary expectations reflecting the constant exchange rate.