5. Fiscal Policy Effects under Alternative Assumptions about Monetary Policy
5.1 Changes in Government Purchases of Goods
5.2 Other Fiscal Policy Variables

A good way to learn about the properties of a model (and if the model is any good about the properties of the economy) is to consider the effects of changing various fiscal policy variables. We know from Chapter 2 that fiscal policy effects depend on what is assumed about monetary policy, and so we must also consider monetary policy in this chapter. We begin with a very straightforward experiment: a decrease in government purchases of goods with the interest rate reaction function used. Federal government purchases of goods in the model is denoted COG. COG is to be decreased with equation 30 used.

5.1 Changes in Government Purchases of Goods

Experiment 5.1: Decrease in Government Spending, Interest Rate Reaction Function

  • Change COG by -20 in each quarter of the forecast period. . The default option in the program is to use the interest rate reaction function (equation 30), and so no changes are needed regarding the assumptions about monetary policy. Solve the model.

The following are some of the questions you should consider about this experiment, but they are by no means exhaustive. You should add to the list. For most questions, you should focus on the results about four quarters out. After four quarters the economy has adjusted enough to the government spending change for the effects to be noticeable.

  1. How are the following variables affected over time and why: real GDP (GDPR), the price level (PF), the unemployment rate (UR), the short term interest rate (RS), and the federal government deficit (SGP)? Note that the change in GDPR divided by the change in COG is the multiplier. How does the multiplier change over time? Why?
  2. Examine how the main components of GDP are affected and try to explain why they move the way they do: CS, CN, CD, IHH, IKF, IVF, and IM.
  3. Note that in the first quarter of the change the decrease in X is greater than the decrease in Y. Why? Relate this to the theory behind equation 11.
  4. Examine the employment and labor force responses in the model, and again try to explain the reasons behind the movements: JF, E, L1, L2, L3, and LM. What happened to productivity, PROD?
  5. Why did RS fall? Why did RB and RM fall? What happened to M1 and why?
  6. What happened to the change in stock prices, CG, initially and then over time? Why?
  7. How did AG change? (-AG is the value of federal government securities outstanding.) Why?
  8. How was the level of profits, PIEF, affected? How was the saving rate of the household sector, SRZ, affected?
  9. What happened to the percentage change in the real wage, WR, and why?
  10. Use the discussion in Section 2.4 to help you in understanding the reasons for the results.

The second experiment is the same as the first except that the interest rate, RS, is taken to be exogenous.


Experiment 5.2: Decrease in Government Spending, Interest Rate Unchanged

  • Change COG by -20 in each quarter of the forecast period. Take RS to be exogenous. Solve the model.
  1. The key feature of this experiment is that it is more contractionary than Experiment 5.1. Explain carefully why.
  2. How did the Fed's behavior differ in this experiment from that in the first one? In which experiment was the change in AG larger? Why?

The experiments so far have been for a permanent change in government purchases of goods. The next experiment examines the effects of a temporary change. This experiment is the same as Experiment 5.1 except that the change in COG is only for the first quarter.


Experiment 5.3: Temporary Decrease in Government Spending, Interest Rate Reaction Function

  • Change COG by -20 in the first quarter of the forecast period. Use the interest rate reaction function---the default. Solve the model.
  1. Compare the results of this experiment with those of Experiment 5.1. (Note that the results for the first quarter are the same.)
  2. How long does it take for the effects of the COG change on the economy to be essentially negligible?
5.2 Other Fiscal Policy Variables
We now turn to other tools of fiscal policy. For the rest of the experiments in this chapter we will use the interest rate reaction function as our assumption about monetary policy. Keep in mind, however, that somewhat different results would be obtained if instead we took RS to be exogenous.

Say that instead of cutting government spending COG by $20 billion, you wanted to raise personal income taxes by approximately the equivalent amount. How do you do this? The federal personal income tax rate in the model is D1G, and so D1G needs to be raised. Say that we want D1G to be raised so that the initial impact of the tax increase takes about the same amount away from the economy as the decrease in COG did. COG is in real terms and tax payments are in nominal terms, and so the first thing we need to do is to convert the $20 billion decrease in COG into nominal terms. PG in the model is the price index for COG, and its value in 2011:2 was 1.144. The nominal change in government spending corresponding to a $20 billion real change is thus $20 billion times 1.144 = $22 billion. We thus need to raise taxes by $22 billion.

The level of federal personal income taxes in the model (THG) is determined by equation 47:

47. THG = [D1G + (TAUG*YT)/POP]*YT

where YT is taxable income. The federal tax system is estimated in the model to be slightly progressive, and so the tax rate increases as YT increases. TAUG is the estimated progressivity parameter. Now, the question is, in order to increase THG by $22 billion, how much do we have to raise D1G? To answer this, we need to know the level of YT. YT in 2011:2 was $10,922.4 billion, and $22 billion is .201 percent of this. Therefore, we need to raise D1G by .00201. We will thus raise D1G by .00201 in the following experiment.

You should be aware that calculations like we have just done are rough. You cannot change D1G to hit a particular change in THG exactly because YT is endogenous. As D1G is changed, the economy changes, including YT, and so THG will also change for this reason as well as from the initial change in D1G. Calculations like the above give one a fairly good idea where to start, but it may be after the first run that you want to adjust D1G slightly to meet more accurately the THG target.


Experiment 5.4: Increase in the Personal Income Tax Rate, Interest Rate Reaction Function

  • Change D1G by .00201 in each quarter of the forecast period. Solve the model.
  1. Compare the results of this experiment with those of Experiment 5.1. Why is the economy. slower to respond in this case? Which policy change is best for decreasing the federal government deficit and why?
  2. What does the Fed do in response to the increase in taxes and why?
  3. How has the tax rate increase affected the labor force? How has it affected the personal saving rate, SRZ?

Another important fiscal policy variable is TRGHQ, the level of transfer payments from the federal government to households. TRGHQ is in real terms. Say that instead of increasing the personal tax rate to raise approximately $20 billion in real terms, the government wanted to decrease TRGHQ by $20 billion. The experiment is:


Experiment 5.5: Decrease in Transfer Payments, Interest Rate Reaction Function

  • Change TRGHQ by -20 in each quarter of the forecast period. Solve model.
  1. Compare the results of this experiment to those of Experiments 5.1.
  2. Compare the different labor force responses between this experiment and Experiment 5.1. How do these differences affect the unemployment rate? In answering this question, review the discussion in Section 2.4 under the heading "Labor Supply and the Unemployment Rate."
  3. Although the model has nothing to say about this, are the distributional consequences of raising D1G versus lowering TRGHQ likely to be different? How?

There are other fiscal policy variables that can be changed, which you may want to do as additional assignments. The following are additional changes that can be made.

Changes in the Profit Tax Rate D2G

WARNING: Please read Section 2.4 under the heading "Tax Rate Effects" regarding the likely effects of changing D2G. Changing D2G may not be a sensible thing to do.

Federal corporate profit taxes (TFG) is determined in equation 49:

49. TFG = D2G*(PIEF - TFS)

where PIEF if the level of profits, TFS is the level of state and local profit taxes (which are deductible from profits before computing federal taxes), and D2G is the profit tax rate. If, say, you want to increase TFG by $22 billion, how much do you increase D2G? In 2011:2 the value of PIEF - TFS was $1388.1 billion, and $22 billion is 1.58 percent of this. Therefore, D2G should be raised by .0158 to raise $22 billion.

Changes in the Indirect Business Tax Rate D3G

The level of federal indirect business taxes (IBTG) is determined by equation 51:

51. IBTG =[D3G/(1 + D3G)]*(PCS*CS + PCN*CN + PCD*CD -IBTS)

The last term in parentheses is the tax base. Its value in 2011:2 was $9654.7 billion. The value of D3G in 2011:2 was .0125. If, say, you want to increase IBTG by about $22 billion, which is .228 percent of $9654.7 billion, D3G should be raised by .00228(1 + .0125) = .00231.

Changes in the Social Security Tax Rates D4G and D5G

The level of employee social insurance contributions to the federal government (SIHG) is determined by equation 53, and the level of employer social insurance contributions to the federal government (SIFG) is determined by equation 54:

53 SIHG = D4G*[4*WF*JF*(HN + 1.5*HO)]

54 SIFG = D5G*[4*WF*JF*(HN + 1.5*HO)]

4*WF*JF*(HN + 1.5*HO) is the wage base. (The wage base needs to be multiplied by 4 here because SIHG and SIFG are taken to be at annual rates. In the model the wage base is not multiplied by 4 because all the variables are at quarterly rates.) The value of the wage base in 2011:2 was $7087.9 billion. If, say, you want to increase SIGH and SIFG each by $11 billion (for a total of $22 billion), then D4G and D5G should be increased by .00155 each since $11 billion is .155 percent of $7087.9 billion.

Changes in the Number of Military Jobs JM

JM is the number of federal military jobs (in millions of jobs). From equation 104 (see Table A.3 in the appendix), each job costs the government WM*HM, where WM is the wage rate per hour (divided by 1000) and HM is the number of hours worked per job in the quarter (which for military jobs is always taken to be 520 hours). In 2011:2 the value of WM was $.0871 and as just noted the value of HM was 520. If, say, you want to decrease JM to correspond to a decrease in government spending of $22 billion at an annual rate, this is a decrease in JM of (22/4)/(.0871*520) = .121 million jobs.

Changes in the Number of Federal Government Civilian Jobs JG

Similar considerations apply to the number of civilian jobs JG. From equation 104, the cost of a civilian job to the government is WG*HG, where WG is the wage rate per hour (divided by 1000) and HG is the number of hours worked per job in the quarter. In 2011:2 the value of WG was $.0585 and the value of HG was 461.9. If you want to decrease JG to correspond to a decrease in government spending of $22 billion at an annual rate, this is a decrease in JG of (22/4)/(.0585*461.9) = .204 million jobs.

Change in Grants in Aid to State and Local Governments TRGSQ

TRGSQ is the level of grants in aid to state and local governments from the federal government. It is in real terms, and you can change it like TRGHQ was changed in Experiment 5.5. Remember, however, that any change in TRGSQ is likely to change state and local government behavior. If you increase TRGSQ, state and local governments are likely to spend more or tax less, and if you decrease TRGSQ, they are likely to spend less or tax more. You should thus change some state and local government variable along with TRGSQ in order for the experiment to be sensible.

A Note on Being Sensible

You should be aware that large, rapid changes in government policy variables are not realistic. It takes time for the government to put policy changes into effect, and the political process is such that large changes are seldom done. Also, if you make large changes in policy variables, the results from the model are less trustworthy than if you make small changes. Changes in policy variable that are outside the range of past changes means that you are analyzing events that are historically unprecedented, and since models are estimated over historical data, they may not capture the effects of extreme events well. So don't go wild with the policy variables.