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Canada’s Financial Future
      The Canadian Business Cycle




   Created by Kirsten Boer, Shannon Hamilton & Gretl
Agenda
1. Overview of Topic
2. Economic Theory
3. Data & Methods
4. Empirical Results & Sensitivity Analysis
5. Practical Applications
6. Summary
Overview of Topic

           What is the future path of Canada’s
              Business Cycle? Is Canada’s
            economy currently contracting?




Overview   Economic Theory   Data & Methods   Results   Application   Summary
In the News

OECD warns of worst recession since early 1980s
 OECD says developed world could face worst recession since early 1980s; warns of
                                   deflation


Economic contraction in Canada will be short-lived:
                   Royal Bank

U.S. economic woes not necessarily Canada's fate


Overview   Economic Theory    Data & Methods     Results   Application   Summary
Business Cycles
  Business cycle:
  “fluctuations of
                                         Peak
  aggregate economic
  activity”, which
  consists of 4 stages:
  contraction, trough,
  expansion & peak                                               Trough




Overview   Economic Theory   Data & Methods     Results   Application   Summary
Business Cycles: Burns & Mitchell
                                                           Factors
   Business Cycles                                       that affect
are recurrent, but not                              business cycles have
      periodic                                       regular patterns of
                                                          behavior
                                Theory
                              suggests an
                             ARIMA model
                             would not be
                                suitable

Overview   Economic Theory   Data & Methods   Results   Application   Summary
ARIMA & GDP’s Growth Path




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Classes of Economic Variables
     Leading                  Coincident                    Lagging
Variable’s turning           Variable’s turning         Variable’s turning
point occurs before          point occurs at            point occurs after
the business cycle           the same time as           the business cycle
                             the business cycle


Theory suggests the appropriate lag length of different variables



Overview   Economic Theory   Data & Methods   Results   Application   Summary
Classes of Economic Variables
  Procyclical                   Acyclical               Countercyclical
                             Variable does not
Variable moves in                                       Variable moves in
                             move with the
the same direction                                      the opposite
                             business cycle
as the business                                         direction as the
                             (e.g. real interest
cycle                                                   business cycle
                             rates)

   Theory suggests the coefficient sign of different variables


Overview   Economic Theory   Data & Methods   Results    Application   Summary
Considered Variables
      •Durable consumption            •Government Spending
      • Stock index prices                       on G&S



    GDP=              C       +        I     +         G        +           NX

                            •Capital Investment                     • Trade Balance
                                                                    • CA Balance
                                                                    •Exchange rates
Other considered Variables: Bank of Canada Interest rate, Labour productivity, inflation
                     (CPI), unemployment, MB1, mortgage rates

Overview    Economic Theory     Data & Methods      Results   Application    Summary
What period should be used?

• 1996:1 to 2006:1
• Allows for a hold-out period
• Uses data that best matches the current structural
   relationship between the independent variables and
   the dependent variable



Overview   Economic Theory   Data & Methods   Results   Application   Summary
Is the Data Stationary?
    GDP                                   Labour Productivity




 Industrial Production                    Capital Investment




Overview    Economic Theory   Data & Methods    Results   Application   Summary
Is the Data Stationary?

                    Exchange Rate




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Correlation Matrix

           Correlation Coefficients, using the observations 1996:1 - 2006:1

      d_lab         d_industprod     d_exchange      d_kinvest

      1.000             0.3725          -0.0107       -0.1914             d_lab

                        1.000           -0.1136       -0.0106      d_industprod

                                        1.000         0.1563        d_exchange

                                                       1.000         d_kinvest




Overview      Economic Theory    Data & Methods   Results   Application     Summary
Chosen Model
                            coefficient std. error t-ratio p-value
                              --------------------------------------------------------------
               const      3382.92                  928.731                      3.643 0.0010 ***
               d_lab      4419.39                 1049.81                       4.210 0.0002 ***
           d_industprod_1     0.524218                     0.0982486 5.336 9.03E-06 ***
            d_Exchange_1 !797.298                       213.312                    !3.738 0.0008 ***
            d_kInvest_1      0.302776                    0.0367233 8.245 3.34E-09 ***

                      Mean of dependent variable = 9501.31
                     Standard deviation of dep. var. = 5024.55
                      Sum of squared residuals = 1.19761e+08
                     Standard error of the regression = 1965.52
                                   Unadjusted R-squared = 0.86446
                                    Adjusted R-squared = 0.84698
                  F-statistic (4, 31) = 93.4873 (p-value < 0.00001)


Overview    Economic Theory            Data & Methods             Results        Application           Summary
Review of Parameter Signs
     Variable          Sign                        Reasoning

                                   Labour is better utilized in a period of economic
       d_labour          +                             prosperity



  d_industrialprod_1     +      Firms produce more when the economic outlook is good


                                  Canada is a net export country; as the change in the
    d_exchange_1         -        exchange rate falls, Canadian exports become more
                                                        attractive

                                   Firms invest more when the economic outlook of
   d_kinvestment_1       +                         Canada is good


Overview   Economic Theory    Data & Methods      Results     Application     Summary
Specification Tests
           Test                      Output                         Result

     Ramsey RESET                 p-value=0.2706             DNR Null Hypothesis


       White Test                 p-value=0.3597             DNR Null Hypothesis


    Breusch-Godfrey              p-value=0.166879            DNR Null Hypothesis

                              Graph does not cross CI
  CUSUM/CUSUMSQ                                               No structural Break
                                     Bands


Overview    Economic Theory    Data & Methods      Results    Application    Summary
In-Sample Forecast Accuracy

                      Measure                   Value
                         MFE                   0.000625
                        MAFE                   1408.3875
                         MSE                  2678972.259
                         MPE                  0.015954892
                        MAPE                   0.1514023
                      Theil’s U               0.078145808


Overview   Economic Theory   Data & Methods     Results    Application   Summary
Hold-Out Period Forecast




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Hold-Out Period Forecast Accuracy

                      Measure                    Value
                         MFE                   -1154.995
                        MAFE                    2547.04
                         MSE                  10054433.63
                         MPE                  -0.061863129
                        MAPE                  0.219816721
                      Theil’s U               0.138125124



Overview   Economic Theory   Data & Methods     Results    Application   Summary
Out-of-Sample Forecast




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Sensitivity Analysis


  1. What if the future values of the independent
     variables were less volatile than expected?
  2. What if government successfully increase capital
     investment?




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Sensitivity Analysis
                                Comparison of Different Change in GDP Predictions
   30000



   22500



   15000



    7500



       0



   -7500



  -15000



  -22500



  -30000
      2001:02:00   2002:01:00    2002:04:00   2003:03:00   2004:02:00   2005:01:00   2005:04:00   2006:03:00   2007:02:00   2008:01:00   2008:04:00   2009:03:00

                                  d_GDP                                                Initial Prediction
                                  Alternate Prediction (1)                             Alternate Prediction (2)

Overview              Economic Theory                        Data & Methods                          Results                Application                Summary
Independent Variables & Theory

Independent Variables                           Theory Suggests
1. Labour Productivity                        1. Leading/ Procyclical
2. Industrial Production                      2. Coincident/ Procyclical
3.    Exchange Rate                           3. No theoretical view
4. Capital Investment                         4. Coincident/ Procyclical




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Independent Variables & Theory

Independent Variables                            Model Suggests
1. Labour Productivity                        1. Coincident/ Procyclical
2. Industrial Production                      2. Lagging/ Procyclical
3.    Exchange Rate                           3.Lagging/Countercyclical
4. Capital Investment                         4. Lagging/ Procyclical




Overview   Economic Theory   Data & Methods   Results   Application   Summary
ARIMA Forecasting Accuracy
                      Measure                  Value
                         MFE                  -2,161.71
                        MAFE                  3,538.348
                         MSE                  17,710,115
                         MPE                    -0.318
                        MAPE                  0.425088
                      Theil’s U               0.163985




Overview   Economic Theory   Data & Methods    Results     Application   Summary
ARIMA vs. OLS Model

                                                      Our
         ARIMA                                   findings match
     provides a less                                Burns &
     accurate model                                Mitchell’s
                                                    Theory




Overview   Economic Theory   Data & Methods   Results   Application   Summary
Macro-Level Application

Framework to                                               Direct Timeline
Create Public                                               Estimations
                             Government’s
   Policy
                             Public Policy




                               Analysis &
                             Comparison Tool
Overview   Economic Theory    Data & Methods   Results   Application   Summary
Micro-Level Application
     Trend                                                 Economic
    Analysis                                               Decision
                                                            Criteria
                        The Graduate
                       Decision: School
                          or Work?                        Sensitivity
   Forecasted                                              Analysis
  GDP values vs.
  Market Beliefs


Overview   Economic Theory   Data & Methods   Results   Application   Summary
Key Takeaways

      1. GDP should begin to recover by the end
         of 2008
      2. Government should work to create
         policies that aid in the recovery of
         Canada’s economy


Overview   Economic Theory   Data & Methods   Results   Application   Summary
Questions?

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Forecasting the Recession

  • 1. Canada’s Financial Future The Canadian Business Cycle Created by Kirsten Boer, Shannon Hamilton & Gretl
  • 2. Agenda 1. Overview of Topic 2. Economic Theory 3. Data & Methods 4. Empirical Results & Sensitivity Analysis 5. Practical Applications 6. Summary
  • 3. Overview of Topic What is the future path of Canada’s Business Cycle? Is Canada’s economy currently contracting? Overview Economic Theory Data & Methods Results Application Summary
  • 4. In the News OECD warns of worst recession since early 1980s OECD says developed world could face worst recession since early 1980s; warns of deflation Economic contraction in Canada will be short-lived: Royal Bank U.S. economic woes not necessarily Canada's fate Overview Economic Theory Data & Methods Results Application Summary
  • 5. Business Cycles Business cycle: “fluctuations of Peak aggregate economic activity”, which consists of 4 stages: contraction, trough, expansion & peak Trough Overview Economic Theory Data & Methods Results Application Summary
  • 6. Business Cycles: Burns & Mitchell Factors Business Cycles that affect are recurrent, but not business cycles have periodic regular patterns of behavior Theory suggests an ARIMA model would not be suitable Overview Economic Theory Data & Methods Results Application Summary
  • 7. ARIMA & GDP’s Growth Path Overview Economic Theory Data & Methods Results Application Summary
  • 8. Classes of Economic Variables Leading Coincident Lagging Variable’s turning Variable’s turning Variable’s turning point occurs before point occurs at point occurs after the business cycle the same time as the business cycle the business cycle Theory suggests the appropriate lag length of different variables Overview Economic Theory Data & Methods Results Application Summary
  • 9. Classes of Economic Variables Procyclical Acyclical Countercyclical Variable does not Variable moves in Variable moves in move with the the same direction the opposite business cycle as the business direction as the (e.g. real interest cycle business cycle rates) Theory suggests the coefficient sign of different variables Overview Economic Theory Data & Methods Results Application Summary
  • 10. Considered Variables •Durable consumption •Government Spending • Stock index prices on G&S GDP= C + I + G + NX •Capital Investment • Trade Balance • CA Balance •Exchange rates Other considered Variables: Bank of Canada Interest rate, Labour productivity, inflation (CPI), unemployment, MB1, mortgage rates Overview Economic Theory Data & Methods Results Application Summary
  • 11. What period should be used? • 1996:1 to 2006:1 • Allows for a hold-out period • Uses data that best matches the current structural relationship between the independent variables and the dependent variable Overview Economic Theory Data & Methods Results Application Summary
  • 12. Is the Data Stationary? GDP Labour Productivity Industrial Production Capital Investment Overview Economic Theory Data & Methods Results Application Summary
  • 13. Is the Data Stationary? Exchange Rate Overview Economic Theory Data & Methods Results Application Summary
  • 14. Correlation Matrix Correlation Coefficients, using the observations 1996:1 - 2006:1 d_lab d_industprod d_exchange d_kinvest 1.000 0.3725 -0.0107 -0.1914 d_lab 1.000 -0.1136 -0.0106 d_industprod 1.000 0.1563 d_exchange 1.000 d_kinvest Overview Economic Theory Data & Methods Results Application Summary
  • 15. Chosen Model coefficient std. error t-ratio p-value -------------------------------------------------------------- const 3382.92 928.731 3.643 0.0010 *** d_lab 4419.39 1049.81 4.210 0.0002 *** d_industprod_1 0.524218 0.0982486 5.336 9.03E-06 *** d_Exchange_1 !797.298 213.312 !3.738 0.0008 *** d_kInvest_1 0.302776 0.0367233 8.245 3.34E-09 *** Mean of dependent variable = 9501.31 Standard deviation of dep. var. = 5024.55 Sum of squared residuals = 1.19761e+08 Standard error of the regression = 1965.52 Unadjusted R-squared = 0.86446 Adjusted R-squared = 0.84698 F-statistic (4, 31) = 93.4873 (p-value < 0.00001) Overview Economic Theory Data & Methods Results Application Summary
  • 16. Review of Parameter Signs Variable Sign Reasoning Labour is better utilized in a period of economic d_labour + prosperity d_industrialprod_1 + Firms produce more when the economic outlook is good Canada is a net export country; as the change in the d_exchange_1 - exchange rate falls, Canadian exports become more attractive Firms invest more when the economic outlook of d_kinvestment_1 + Canada is good Overview Economic Theory Data & Methods Results Application Summary
  • 17. Specification Tests Test Output Result Ramsey RESET p-value=0.2706 DNR Null Hypothesis White Test p-value=0.3597 DNR Null Hypothesis Breusch-Godfrey p-value=0.166879 DNR Null Hypothesis Graph does not cross CI CUSUM/CUSUMSQ No structural Break Bands Overview Economic Theory Data & Methods Results Application Summary
  • 18. In-Sample Forecast Accuracy Measure Value MFE 0.000625 MAFE 1408.3875 MSE 2678972.259 MPE 0.015954892 MAPE 0.1514023 Theil’s U 0.078145808 Overview Economic Theory Data & Methods Results Application Summary
  • 19. Hold-Out Period Forecast Overview Economic Theory Data & Methods Results Application Summary
  • 20. Hold-Out Period Forecast Accuracy Measure Value MFE -1154.995 MAFE 2547.04 MSE 10054433.63 MPE -0.061863129 MAPE 0.219816721 Theil’s U 0.138125124 Overview Economic Theory Data & Methods Results Application Summary
  • 21. Out-of-Sample Forecast Overview Economic Theory Data & Methods Results Application Summary
  • 22. Sensitivity Analysis 1. What if the future values of the independent variables were less volatile than expected? 2. What if government successfully increase capital investment? Overview Economic Theory Data & Methods Results Application Summary
  • 23. Sensitivity Analysis Comparison of Different Change in GDP Predictions 30000 22500 15000 7500 0 -7500 -15000 -22500 -30000 2001:02:00 2002:01:00 2002:04:00 2003:03:00 2004:02:00 2005:01:00 2005:04:00 2006:03:00 2007:02:00 2008:01:00 2008:04:00 2009:03:00 d_GDP Initial Prediction Alternate Prediction (1) Alternate Prediction (2) Overview Economic Theory Data & Methods Results Application Summary
  • 24. Independent Variables & Theory Independent Variables Theory Suggests 1. Labour Productivity 1. Leading/ Procyclical 2. Industrial Production 2. Coincident/ Procyclical 3. Exchange Rate 3. No theoretical view 4. Capital Investment 4. Coincident/ Procyclical Overview Economic Theory Data & Methods Results Application Summary
  • 25. Independent Variables & Theory Independent Variables Model Suggests 1. Labour Productivity 1. Coincident/ Procyclical 2. Industrial Production 2. Lagging/ Procyclical 3. Exchange Rate 3.Lagging/Countercyclical 4. Capital Investment 4. Lagging/ Procyclical Overview Economic Theory Data & Methods Results Application Summary
  • 26. ARIMA Forecasting Accuracy Measure Value MFE -2,161.71 MAFE 3,538.348 MSE 17,710,115 MPE -0.318 MAPE 0.425088 Theil’s U 0.163985 Overview Economic Theory Data & Methods Results Application Summary
  • 27. ARIMA vs. OLS Model Our ARIMA findings match provides a less Burns & accurate model Mitchell’s Theory Overview Economic Theory Data & Methods Results Application Summary
  • 28. Macro-Level Application Framework to Direct Timeline Create Public Estimations Government’s Policy Public Policy Analysis & Comparison Tool Overview Economic Theory Data & Methods Results Application Summary
  • 29. Micro-Level Application Trend Economic Analysis Decision Criteria The Graduate Decision: School or Work? Sensitivity Forecasted Analysis GDP values vs. Market Beliefs Overview Economic Theory Data & Methods Results Application Summary
  • 30. Key Takeaways 1. GDP should begin to recover by the end of 2008 2. Government should work to create policies that aid in the recovery of Canada’s economy Overview Economic Theory Data & Methods Results Application Summary