Forecasting

Document Sample

Lecture 6: Macromodel Exercises

Dr. Rajeev Dhawan Director

Given to the



EMBA 8400 Class Buckhead Center

April 17, 2009



1B: Monetary-Stimulus (Inflation) Experiment

When Money Growth Stops Slowly by 2017

• Rate of growth of the money supply is increased from 0% to 5% in 2009, and then kept at 5% until 2013, and then decreased slowly to 0% by 2017 (stays at 0% afterwards)

Money Supply

$5,000 $4,500 $4,000 $3,500



$ Billions



$3,000



$2,500 $2,000 $1,500 $1,000

$500



$-



2007



2008



2010



2011



2014



2015



2017



2018



2021



2022



2024



2025



2028



2029



2031



2032



2009



2012



2013



2016



2019



2020



2023



2026



2027



2030



2033



Years

Money Supply (Simulation) Money Supply (Base)



2034



2034 2033

2032 2031



2029

2028 2027



2026 2025



Money Supply Growth



2024 2023



2022

2020



2018

2017 2016



2015 2014

2013 2012



2011 2010

2009 2008



2007

6.0 5.0 4.0 3.0 2.0 1.0 0.0



Money Supply Growth (Base)



2019



Years



2021



Money Supply Growth (Simulation)



2030



(in Percentage %)







Inflation follows the money growth path, lagging behind at first but then overshooting on the way down. Inflation, however, is equal to the growth rate of money supply in the long-run



Money Supply Growth Vs. Inflation

7.0 6.0 5.0



(in Percentage %)



4.0 3.0 2.0 1.0 0.0



2007



2008



2009



2010



2011



2012



2013



2014



2015



2016



2017



2018



2019



2020



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



-1.0 -2.0



Years

Inflation Money Supply Growth



•The real interest rate becomes cyclic. At first it drops which helps investment and then when it rises it hurts investment.

Real Interest Rate



4.3



(In Percentage %)



4.2 4.1 4.0



3.9 3.8 3.7 3.6 3.5 3.4



$ Billions



2007



2009



2011



Real Interest Rate (Simulation)



2013



2015



2017



2019



Years



2021



$1,030 Real Interest Rate (Base) $1,020

$1,010



2023



$1,040



$1,000 $990 $980 $970

$960



$950 $940



2025



2027



2029



2031



2033



Investment



2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007

Years

Investment (Simulation) Investment (Base)



Real Exchange Rate

2007 2008 2009 2013 2014 2015

2010 2011 2012 2016

1.200



Exports

2018 2019 2020 2024 2025 2026 2029 2030 2031

2017 2021 2022 2023 2027 2028 2032 2033



$1,785

1.000



$1,780 $1,775 $1,770

($ Billions)



(In Percentage %)



0.800 0.600 0.400 0.200

0.000



$1,765 $1,760 $1,755 $1,750 $1,745



$1,740 $1,735 Years



Years



Real Exchange Rate (Simulation)



Real Exchange Rate (Base)



Exports (Simulation)



Exports (Base)



Imports

$2,040 $2,030 $2,020

$ Billions



$2,010 $2,000 $1,990 $1,980 $1,970 Years

Imports (Simulation) Imports (Base)



2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034



2034



2007



2009



2011



2013



2015



2017



2019



2021



2023



2025



2027



2029



2031



2033



• Real GDP shoots above the base case values, so that there is a boom in the economy in the short-run. In the long-run, once the prices adjust completely, the economy is back to its potential GDP

GDP

$7,150 $7,100



Unemployment Drops

$7,050



$ Billions



$7,000 $6,950 $6,900



Unemployment Rises

$6,850 $6,800



2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



Years

GDP (Simulation) GDP (Base)



1C: Monetary-Stimulus (Inflation) Experiment When Money Growth Never Stops!

• Rate of growth of the money supply is increased from 0% to 5%. • This is done forever (till the end of simulation period in 2034!)

Money Supply

$14,000

$12,000



$10,000



$ Billions



$8,000 $6,000 $4,000 $2,000 $-



2007



2008



2010



2011



2014



2015



2017



2018



2021



2022



2024



2025



2028



2029



2031



2032



2009



2012



2013



2016



2019



2020



2023



2026



2027



2030



2033



Years

Money Supply (Simulation) Money Supply (Base)



2034



• Money Supply Growth Rate is a constant 5% forever starting in year 2007

Money Supply Growth

6.0

(in Percentage %)



5.0 4.0 3.0 2.0 1.0 0.0



2007



2008



2009



2010



2011



2012



Money Supply Growth (Base)



2013



2014



2015



2016



2017



2018



2019



Years

Money Supply Growth (Simulation)



2020



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034







Inflation follows the money growth path, lagging behind at first but then over-shooting on the way down. Inflation, however, is equal to the growth rate of money supply in the long-run

Money Supply Vs. Inflation

$14,000 $12,000 $10,000 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0



Money Supply



$8,000 $6,000 $4,000 $2,000 $-



Year

Money Supply Inflation



Inflation



2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



Real Interest Rate



4.2



(In Percentage %)



4.1 4.0 3.9 3.8 3.7 3.6 3.5



$ Billions



2007



2009



2011



Real Interest Rate (Simulation)



2013



2015



2017



2019



Years

Real Interest Rate (Base)



2021



2023



$1,040 $1,030

$1,020



$1,010 $1,000 $990 $980 $970



2025



2027



2029



2031



2033



Investment



2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007

Years

In vestmen t (Simulatio n ) In vestmen t (Base)



Comparison of Real and Nominal Interest Rates

Real Vs Nominal Interest Rate

12.0



10.0



(In Percentage %)



8.0



6.0



4.0



2.0



0.0



2007



2008



2009



2010



2011



2012



2013



2014



2015



2016



Real Interest Rate



2017



2018



2019



2020



Years

Nominal Interest Rate



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



• Real GDP shoots above the base case values, so that there is a boom in the economy in the short-run. In the long-run, once the prices adjust completely, the economy is back to the potential GDP

GDP vs GDP Potential

$7,150 $7,100 $7,050

$7,000



$ Billions



$6,950 $6,900 $6,850

2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



GDP



Years Potential GDP



Lessons From the Three Monetary (Inflation) Experiments

Money Supply Growth

6.0

(in Percentage %)



5.0 4.0 3.0 2.0 1.0 0.0

2005 2007 2009 2011 2013 2015 2017 2019 2021 2023 2025 2027 2029 2031



1c 1b 1a



Years Money Growth (Base) Experiment 1-A Experiment 1-B Experiment 1-C



Inflation Response Depends on How Long Monetary Stimulus Lasts

Inflation

7.00 6.00 5.00

(In Percentage %)



4.00 3.00 2.00 1.00 0.00

2005 2007 2009 2011 2013



1c 1a



1b

2015 2017 2019 2021 2023 2025 2027 2029 2031



-1.00 -2.00 -3.00



Years Experiment 1-A Inflation (Base) Experiment 1-B Experiment 1-C



Interest Rate Overshooting Depends on How QUICKLY Monetary Growth Returns to Normal

Real Interest Rate

4.3 4.2



(In Percentage %)



4.1 4.0 3.9 3.8 3.7 3.6



1b



1c 1a



Experiment 1-A



2005



2007



2009



2011



Interest Rate (Base)



2013



2015



2017



Years

Experiment 1-B Experiment 1-C



2019



2021



2023



2025



2027



2029



2031



Depth of the Recession Depends Upon How Quickly the Monetary Stimulus is Withdrawn!

$7,150 $7,100 $7,050



GDP

1b

1c



$ Billions



$7,000 $6,950 $6,900 $6,850 $6,800 $6,750 $6,700



1a



Experiment 1-A



2005



2007



2009



2011



GDP (Base)



2013



2015



2017



Years

Experiment 1-B Experiment 1-C



2019



2021



2023



2025



2027



2029



2031



2a. Fiscal-Stimulus Policy Experiment



2a. Fiscal-Stimulus Policy Experiment

 In this experiment real government spending is increased in steps of $100 billion higher from 2009 to 2012, and then spending stays elevated at that level forever.  NO INCREASE IN TAX RATE: A deficit-financed war provides the historical context for large increases in government spending.

Government Spending

$1,400 $1,200 $1,000

$ Billions



$800 $600 $400 $200 $0

2007 2008 2009 2010



2011



2012



2013



Govt. Spending (Simulation)



2014



2015



2016



2017



2018



2019



2020



Years

Govt. Spending (Base)



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



Government Spending and Tax Rate

Government Spending vs. Tax Rate

$1,400 $1,200 $1,000 $800 8.0% $600 6.0% $400 $200 $2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



16.0% 14.0% 12.0%

10.0%



Government Spending



4.0% 2.0% 0.0%



Years

Government Spending Tax Rate



Tax Rate



•Higher government spending adds directly to real GDP, by the national income accounting identity. Since prices do not adjust completely in the first year, the full adjustment is delayed and the economy goes into a damped oscillations but in the long run GDP comes back to steady state

GDP

$7,100 $7,050 $7,000 $6,950 $6,900 $6,850 $6,800



Unemployment Drops



$ Billions



Unemployment Rises



2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



Years

GDP (Simulation) GDP (Base)







Inflation follows the a cyclic path. Why? Because GDP has risen. So initially it shoots up and then drops, but eventually settles to the steady state values



Inflation

4.00 3.00



(In Percentage %)



2.00



1.00



0.00

2007 2009



2011



2013



2015



2017



2019



2021



2023



2025



2027



2029



2031



2033



-1.00



-2.00



Years

Inf lation (Simulation) Inf lation (Base)



 The booming economy raises the demand for money and forces the real interest rate higher.



Real Interest Rate

8.0 7.0



(In Percentage %)



6.0 5.0 4.0 3.0 2.0 1.0 0.0



2007



2009



2011



Real Interest Rate (Simulation)



2013



2015



2017



2019



Years

Real Interest Rate (Base)



2021



2023



2025



2027



2029



2031



2033



Rise in interest rate hurts investment

Investment Vs. Real Interest Rate

$1,020 $1,000 $980 $960 6.0

5.0



8.0 7.0



Investment



$940 $920 $900 $880 $860 $840

$820



4.0 3.0 2.0 1.0 0.0

2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



$800 Years



Investment



Real Interest Rate



Real Interest Rate



Real Exchange Rate

Real Exchange Rate

1.010 1.005 1.000



(In Percentage %)



0.995 0.990 0.985 0.980 0.975 0.970 0.965

0.960



2007



2009



Real Exchange Rate (Simulation)



2011



2013



2015



2017



2019



Years

Real Exchange Rate (Base)



2021



2023



2025



2027



2029



2031



2033



 Higher real interest rates also raise the exchange rate relative to the domestic price level and the restof-the-world price level. That is, the real exchange rate rises. This lowers real exports.

Exports

2007 2008 2009 2013 2014 2015 2018 2019 2020 2021 2024 2025 2026 2030 2031 2032

2010 2011 2012 2016 2017 2022 2023 2027 2028 2029 2033 2034



$1,800 $1,750



($ Billions)



$1,700



$1,650 $1,600 $1,550 $1,500



Years

Exports (Simulation) Exports (Base)



 The imports rise as exchange rate rises.

Imports

$2,200 $2,150 $2,100

$ Billions



$2,050 $2,000 $1,950 $1,900 Years

Imports (Simulation) Imports (Base)



2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034



 Higher imports and lower exports cause net exports (trade deficit) to drop.

Trade Deficit (Net Exports)

2007 2010 2013 2014 2016 2017 2020 2021 2023 2024 2027 2030 2031 2034

2008 2009 2011 2012 2015 2018 2019 2022 2025 2026 2028 2029 2032 2033



$$(100) $(200)

$ Billions



$(300) $(400) $(500) $(600) Years

Trade Deficit (Simulation) Trade Deficit (Base)



 Higher real GDP and constant tax rates, raises the real disposable income and thus also increases consumption in the short-run, but in the long-run it settles back to steady state values

Consumption

$5,560

$5,540



$5,520 $5,500



$ Billions



$5,480 $5,460

$5,440



$5,420 $5,400 $5,380

$5,360



2007



2008



2009



2010



2011



2012



2013



Consumption (Simulation)



2014



2015



2016



2017



2018



2019



2020



Years

Consumption (Base)



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



Comparison of Government Spending and Consumption

Govt. Spending vs. Consumption

$1,400 $1,200 $5,560 $5,540



Govt. Spending ($ Billions)



$1,000 $800 $600 $400 $200 $2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034



$5,500 $5,480 $5,460 $5,440 $5,420 $5,400 $5,380 $5,360



Years

Govt. Spending Consumption



Consumption ($ Billions)



$5,520



 Even though the tax rate is constant, higher GDP levels result in increased tax revenues

Tax Revenues

$1,065 $1,060 $1,055 $1,050 $1,045 $1,040

$1,035



$ Billions



$1,030 $1,025



2007



2008



2009



2010



Tax Revenues (Simulation)



2011



2012



2013



2014



2015



2016



2017



2018



2019



Years



2020



2021



Tax Revenues (Base)



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



Government Deficit/Surplus and the Real Interest Rate

Surplus Vs. Real Interest Rate

$350 $300 $250 $200 $150 12.0 10.0 8.0 6.0 4.0 2.0 0.0

2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



$100 $50 $$(50) $(100) $(150)



Years

Surplus Real Interest Rate



Real Interest Rate (in%)



Surplus



A Somewhat “Sequential” Working of the Model (Fiscal Policy)

 As Government Spending goes up (G↑), GDP goes up (GDP↑) which causes price level to go up too (P↑).  Real Interest Rate rises (R↑) which depresses Investment (I↓).  Also as Real Interest Rate rises the Real Exchange Rate rises (EXCH↑) which hurts Exports (EX↓) but boosts Imports (IM↑) causing the Trade Deficit to rise (NETEX ↑).  As GDP goes up the tax collections rise but not by as much as the increase in government spending causing the Government deficit to increases.



Summary of Reactions

 In this experiment real government spending is increased in steps of $100 billion higher from 2007 to 2010, and then spending stays elevated at that level forever.  Inflation follows the a cyclic path. Initially shoots and then drops, but eventually settles to the steady state values  Higher government spending adds directly to real GDP, by the national income accounting identity. Since prices do not adjust completely in the first year, the full adjustment is delayed and the economy goes into a damped oscillations but in the long run GDP comes back to steady state  The booming economy raises the demand for money and forces the real interest rate higher.  Higher real interest rates also raise the exchange rate relative to the domestic price level and the rest-of-the-world price level. That is, the real exchange rate rises. This lowers real exports and raises real Imports, causing net exports (trade deficit) to drop for both the reasons.  Higher real GDP and constant tax rates, raises the real disposable income and thus also increases consumption in the short-run, but in the long-run it settles back to steady state values  Even though the tax rate is constant, higher GDP levels result in increased tax revenues



Data Table 2 (a): Govt. Spending

EXOGENOUS VARIABLES POLICY VARIABLES Money Supply (M) New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff

$3,500.0 $3,500.0 $0.0 $764.9 $764.9 $0.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $964.9 $764.9 $200.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $1,064.9 $764.9 $300.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $1,164.9 $764.9 $400.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $1,164.9 $764.9 $400.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $1,164.9 $764.9 $400.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $1,164.9 $764.9 $400.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $1,164.9 $764.9 $400.0 15% 15% 0%



Government Purchases (G)



Tax Rate (TAX%)



REST-OF-WORLD VARIABLES Price Level, ROW

1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0



Real Interest Rate, ROW



GDP @ Rest of World



OTHERS Potential GDP (GDP@FULL)

$7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0



Name of Experiment: ENDOGENOUS VARIABLES ACCOUNTING IDENTITIES Gross Domestic Product (GDP)



Deficit Financing Experiment



History 2008

New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff

$7,000.0 $7,000.0 $0.0 $1,050.0 $1,050.0 $0.0 $5,950.0 $5,950.0 $0.0 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



**** 2009

$7,064.8 $7,000.0 $64.8 $1,059.7 $1,050.0 $9.7 $6,005.1 $5,950.0 $55.1 ($320.5) ($248.2) -$72.3 1.01 1.00 0.01



Short Run 2010 2011

$7,067.9 $7,000.0 $67.9 $1,060.2 $1,050.0 $10.2 $6,007.7 $5,950.0 $57.7 ($392.6) ($248.2) -$144.3 1.04 1.00 0.04 $7,034.1 $7,000.0 $34.1 $1,055.1 $1,050.0 $5.1 $5,979.0 $5,950.0 $29.0 ($466.8) ($248.2) -$218.6 1.08 1.00 0.08



**** 2012

$6,995.3 $7,000.0 -$4.7 $1,049.3 $1,050.0 -$0.7 $5,946.0 $5,950.0 -$4.0 ($544.2) ($248.2) -$295.9 1.12 1.00 0.12



**** 2019

$7,014.1 $7,000.0 $14.1 $1,052.1 $1,050.0 $2.1 $5,962.0 $5,950.0 $12.0 ($544.2) ($248.2) -$296.0 1.11 1.00 0.11



Long Run 2024 2029

$6,998.7 $7,000.0 -$1.3 $1,049.8 $1,050.0 -$0.2 $5,948.9 $5,950.0 -$1.1 ($544.2) ($248.2) -$295.9 1.12 1.00 0.12 $6,999.8 $7,000.0 -$0.2 $1,050.0 $1,050.0 $0.0 $5,949.9 $5,950.0 -$0.1 ($544.2) ($248.2) -$295.9 1.12 1.00 0.12



**** 2034

$7,000.1 $7,000.0 $0.1 $1,050.0 $1,050.0 $0.0 $5,950.1 $5,950.0 $0.1 ($544.2) ($248.2) -$295.9 1.12 1.00 0.12



Taxes (T)



Disposable Income (YDP)



Net Exports (NETEX)



Price Level (P)



BEHAVIORAL EQUATIONS Consumption Expenditure ( C)

$5,483.3 $5,483.3 $0.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,534.1 $5,483.3 $50.7 4.5 4.0 0.5 $986.3 $1,000.0 -$13.7 1.00 1.00 0.00 $1,670.4 $1,764.3 -$93.9 $2,061.1 $2,012.5 $48.6 1.4 0.0 1.4 $5,536.5 $5,483.3 $53.1 5.2 4.0 1.2 $959.0 $1,000.0 -$40.9 1.00 1.00 0.00 $1,631.1 $1,764.3 -$133.2 $2,101.0 $2,012.5 $88.4 2.8 0.0 2.8 $5,510.1 $5,483.3 $26.7 6.0 4.0 2.0 $926.0 $1,000.0 -$74.0 0.99 1.00 -0.01 $1,620.2 $1,764.3 -$144.1 $2,137.2 $2,012.5 $124.7 3.6 0.0 3.6 $5,479.6 $5,483.3 -$3.7 6.9 4.0 2.9 $894.9 $1,000.0 -$105.1 0.99 1.00 -0.01 $1,619.8 $1,764.3 -$144.5 $2,175.2 $2,012.5 $162.7 3.5 0.0 3.5 $5,494.4 $5,483.3 $11.0 6.9 4.0 2.9 $896.6 $1,000.0 -$103.4 0.99 1.00 -0.01 $1,633.9 $1,764.3 -$130.4 $2,178.1 $2,012.5 $165.6 0.2 0.0 0.2 $5,482.3 $5,483.3 -$1.0 6.9 4.0 2.9 $895.6 $1,000.0 -$104.3 0.99 1.00 -0.01 $1,631.6 $1,764.3 -$132.7 $2,175.8 $2,012.5 $163.2 -0.1 0.0 -0.1 $5,483.2 $5,483.3 -$0.1 6.9 4.0 2.9 $895.9 $1,000.0 -$104.1 0.99 1.00 -0.01 $1,631.8 $1,764.3 -$132.5 $2,175.9 $2,012.5 $163.4 0.0 0.0 0.0 $5,483.4 $5,483.3 $0.1 6.9 4.0 2.9 $896.0 $1,000.0 -$104.0 0.99 1.00 -0.01 $1,631.8 $1,764.3 -$132.5 $2,176.0 $2,012.5 $163.4 0.0 0.0 0.0



Real Interest Rate ( R)



Investment (I)



Real Exchange Rate (EXCH)



Exports (EX)



Imports (IM)



Inflation (P%)



2b: When…Govt. Spending is Reduced to its Original Spending Value by 2016

•Government Spending increases for four years and then gradually reduced back to the original spending by 2016

Government Spending

$1,400 $1,200 $1,000

$ Billions



$800 $600 $400 $200 $0

2007 2008 2009 2010



2011



2012



2013



Govt. Spending (Simulation)



2014



2015



2016



2017



2018



2019



2020



Years

Govt. Spending (Base)



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



•Government Spending increases for four years and then gradually reduced back to the original spending in 2012 whereas the tax rats remain constant

Government Spending vs. Tax Rate

$1,400 $1,200 $1,000 $800 8.0% $600 6.0% $400 $200 $2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



16.0% 14.0% 12.0%

10.0%



Government Spending



4.0% 2.0% 0.0%



Years

Government Spending Tax Rate



Tax Rate



•Because the government spending is reduced and brought back to the original level in 2012, the real interest rates are forced to come back to the original as the stimulus is taken away.

Real Interest Rate

8.0 7.0



(In Percentage %)



6.0 5.0 4.0 3.0 2.0 1.0 0.0



2007



2009



2011



Real Interest Rate (Simulation)



2013



2015



2017



2019



Years

Real Interest Rate (Base)



2021



2023



2025



2027



2029



2031



2033



Inflation Behavior

Inflation

4.00 3.00

2.00



(In Percentage %)



1.00 0.00

2007 2009



2011



2013



2015



2017



2019



2021



2023



2025



2027



2029



2031



2033



-1.00 -2.00 -3.00 -4.00 -5.00



Years

Inf lation (Simulation) Inf lation (Base)



•As inflation wears off and the real interest rate returns to normal implies that the nominal interest rate will drop

Real Vs Nominal Interest Rate

12.0



10.0



(In Percentage %)



8.0



6.0



4.0



2.0



0.0



2007



2008



2009



2010



2011



2012



2013



2014



2015



2016



2017



2018



2019



2020



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



-2.0



Years

Real Interest Rate Nominal Interest Rate



Comparison of Government Spending and Consumption

Govt. Spending vs. Consumption

$1,400 $1,200 $5,600 $5,550 $5,500 $5,450 $5,400 $5,350 $5,300 $5,250

2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034



Govt. Spending ($ Billions)



$1,000 $800 $600 $400 $200 $-



Years

Govt. Spending Consumption



Consumption ($ Billions)



•Higher government spending adds directly to real GDP from the national accounting identity. Since prices do not adjust completely in the first year, the full adjustment is delayed and the economy goes into a damped oscillation toward the long run steady state

GDP vs GDP Potential

$7,150 $7,100 $7,050



$ Billions



$7,000 $6,950 $6,900 $6,850 $6,800 $6,750 $6,700

2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007

GDP GDP Potential



Years



3. Neutral-Budget Policy Experiment

– In this experiment real government spending is increased by the same one-step increase imposed in the fiscal-stimulus experiment. – Instead of running a deficit, the government raises the tax rate high enough to crowd out the exact amount of increase in government spending by reducing consumption.

Billions



Government Spending vs. Tax Rate



$880 $860



17.0%



(in %)



16.5%

$840



Government Spending



$820



16.0%



15.5% $780 $760 $740

14.5%



15.0%



$720 $700

2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



14.0%



Years

Government Spending Tax Rate



Tax Rate



$800



Tax Revenues

$1,180 $1,160 $1,140 $1,120



$ Billions



$1,100



$1,080 $1,060 $1,040 $1,020 $1,000 $980



2007



2008



2009



2010



Tax Revenues (Simulation)



2011



2012



2013



2014



2015



2016



2017



2018



2019



Years



2020



2021



Tax Revenues (Base)



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



•Higher taxes via higher tax rate leads to drop in consumption

Consumption

$5,500 $5,480 $5,460 $5,440



$ Billions



$5,420



$5,400 $5,380 $5,360 $5,340

$5,320



2007



2008



2009



2010



2011



2012



2013



Consumption (Simulation)



2014



2015



2016



2017



2018



2019



2020



Years

Consumption (Base)



2021



2022



2023



2024



2025



2026



2027



2028



2029



2030



2031



2032



2033



2034



Government Spending vs. Consumption

Govt. Spending vs. Consumption

$880 $860 $5,500 $5,480



Govt. Spending ($ Billions)



$820 $800 $780 $760 $740 $720 $700

2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034



$5,440 $5,420 $5,400 $5,380 $5,360 $5,340 $5,320



Years

Govt. Spending Consumption



Consumption ($ Billions)



$840



$5,460



No Change in Interest Rate!

Real Interest Rate

4.5



(In Percentage %)



4.3



4.0



3.8



3.5



2007



2009



2011



Real Interest Rate (Simulation)



2013



2015



2017



2019



Years

Real Interest Rate (Base)



2021



2023



2025



2027



2029



2031



2033



Increased G and Decreased C => Constant GDP

GDP

$7,500

$7,400



$7,300 $7,200



$ Billions



$7,100 $7,000 $6,900 $6,800 $6,700 $6,600 $6,500



2034 2033 2032 2031 2030 2029 2028 2027 2026 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007



Years

GDP (Simulation) GDP (Base)



Name of Experiment: ENDOGENOUS VARIABLES ACCOUNTING IDENTITIES Gross Domestic Product (GDP)



Neutral Experiment



History 2008

New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff

$7,000.0 $7,000.0 $0.0 $1,050.0 $1,050.0 $0.0 $5,950.0 $5,950.0 $0.0 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



**** 2009

$7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



Short Run 2010 2011

$7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00 $7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



**** 2012

$7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



**** 2019

$6,999.9 $7,000.0 -$0.1 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.3) ($248.2) $0.0 1.00 1.00 0.00



Long Run 2024 2029

$7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00 $7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



**** 2034

$7,000.0 $7,000.0 $0.0 $1,158.5 $1,050.0 $108.5 $5,841.5 $5,950.0 -$108.5 ($248.2) ($248.2) $0.0 1.00 1.00 0.00



Taxes (T)



Disposable Income (YDP)



Net Exports (NETEX)



Price Level (P)



BEHAVIORAL EQUATIONS Consumption Expenditure ( C)

$5,483.3 $5,483.3 $0.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.4 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0 $5,383.3 $5,483.3 -$100.0 4.0 4.0 0.0 $1,000.0 $1,000.0 $0.0 1.00 1.00 0.00 $1,764.3 $1,764.3 $0.0 $2,012.5 $2,012.5 $0.0 0.0 0.0 0.0



Real Interest Rate ( R)



Investment (I)



Real Exchange Rate (EXCH)



Exports (EX)



Imports (IM)



Inflation (P%)



Second half of the data Neutral Experiment Table

EXOGENOUS VARIABLES POLICY VARIABLES Money Supply (M) New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff New Sim Base Case Diff

$3,500.0 $3,500.0 $0.0 $764.9 $764.9 $0.0 15% 15% 0% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2% $3,500.0 $3,500.0 $0.0 $864.9 $764.9 $100.0 17% 15% 2%



Government Purchases (G)



Tax Rate (TAX%)



REST-OF-WORLD VARIABLES Price Level, ROW

1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0 1.0 1.0 0.0 4.0 4.0 0.0 $7,000.0 $7,000.0 $0.0



Real Interest Rate, ROW



GDP @ Rest of World



OTHERS Potential GDP (GDP@FULL)

$7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0 $7,000.0 $7,000.0 $0.0




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