10 Appendices
Appendix 1 - Charts of portfolio returns and number of stocks in the portfolios
Note: - some exceptionally high returns may not be visible in the charts
- Numbers of companies visible in the graph may never achieve the total number of companies mentioned in the text because
companies enter and exit the portfolios as they are listed/delisted, or manually excluded as mentioned in section 3.1.1.
Chart 1 – Portfolio Returns and Number of Stocks in Portfolios for EU0 20 40 60 80 100 120 140 /1988 5/199 0 0/199 1 /12/19 92 /1994 1/199 5 3/199 7 8/199 8 /11/19 99 /2001 9/200 2 2/200 4 6/200 5 /9/20 06 N u m b e r o f S to c k s i n P o rt fo li o -0.3 -0.1 0.1 0.3 0.5 0.7 0.9 1.1 1.3 P o rt fo li o r e tu rn
Chart 2 – Portfolio Returns and Number of Stocks in the Portfolios for USA 0 20 40 60 80 100 120 140 1/3/19 73 5/29/1 974 10/22 /1975 3/16/1 977 8/9/19 78 1/2/19 80 5/27/1 981 10/20 /1982 3/14/1 984 8/7/19 85 12/31 /1986 5/25/1 988 10/18 /1989 3/13/1 991 8/5/19 92 12/29 /1993 5/24/1 995 10/16 /1996 3/11/1 998 8/4/19 99 12/27 /2000 5/22/2 002 10/15 /2003 3/9/20 05 8/2/20 06 12/26 /2007 Date N u m b e r o f S to c k s i n P o rt fo li o -0.3 -0.1 0.1 0.3 0.5 0.7 0.9 1.1 1.3 P o rt fo li o r e tu rn
Chart 3 - Portfolio Returns and Number of Stocks in the Portfolios for Canada 0 5 10 15 20 25 30 35 40 45 50 9/1/19 88 1/25/1 990 6/20/1 991 11/12 /1992 4/7/19 94 8/31/1 995 1/23/1 997 6/18/1 998 11/11 /1999 4/5/20 01 8/29/2 002 1/22/2 004 6/16/2 005 11/9/ 2006 Date N u m b e r o f S to c k s i n P o rt fo li o -0.3 -0.1 0.1 0.3 0.5 0.7 0.9 P o rt fo li o r e tu rn
Chart 4 - Portfolio Returns and Number of Stocks in the Portfolios for China 0 5 10 15 20 25 30 35 1/12/1 999 6/6/20 00 10/30 /2001 3/25/2 003 8/17/2 004 1/10/2 006 6/5/20 07 N u m b e r o f S to c k s i n P o rt fo li o -0.3 -0.1 0.1 0.3 0.5 0.7 0.9 1.1 1.3 P o rt fo li o r e tu rn
Chart 5 - Portfolio Returns and Number of Stocks in the Portfolios for Australia 0 5 10 15 20 25 30 35 8/4/19 89 12/28 /1990 5/22/1 992 10/15 /1993 3/10/1 995 8/2/19 96 12/26 /1997 5/21/1 999 10/13 /2000 3/8/20 02 8/1/20 03 12/24 /2004 5/19/2 006 10/12 /2007 Date N u m b e r o f S to c k s i n P o rt fo li o -0.3 -0.1 0.1 0.3 0.5 0.7 0.9 1.1 1.3 P o rt fo li o r e tu rn
Appendix 3
TABLE 22 - Description of Used Variables
Variable Name Definition Available through Data Source
Rp,t Portfolio return Ri,t
-Ri,t Stock return Vi,t
-Vi,t Stock value
Stock value measured as daily Total Return Index in USD
DataStream or
finance.yahoo.com World Equity Exchanges
Oil Oil price change Brentt
-Brentt Brent Crude oil price Daily price per barrel in USD DataStream Platt's
IBORt
Interbank Offered Rate
Change IRt
-IRt Interbank Offered Rate Daily interbank offered rate DataStream British Bankers' Association
IndexAdj Adjusted index return
Value of index adjustet according outcome of
regression based on Equation 3. Indext
-Indext Equity Index Return Indt
-Indt Equity Index
Equity Index of all the stocks quoted in the
region analyzed DataStream MSCI Barra
Commt Commodities Price change RAgri,t
-RAgri,t Agri,t
-Agri,t Commodities Price
Daily price in USD for commodity relevant for
region analyzed DataStream Public Ledger
In this table we present the variables that are used in our models as well as underlying variables that were used for their construction
Appendix 4
TABLE 23 - Critical Values of Durbin Watson Statistics
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 1466 2 1.952 1450 1.912 1.915
Portfolio 1466 2 2.009 1450 1.912 1.915
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 1514 6 2.042 1500 1.908 1.922
Portfolio 1466 8 2.016 1450 1.904 1.923
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 3274 6 1.965 2000 1.921 1.931
Portfolio 3272 8 2.005 2000 1.919 1.934
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 3337 3 2.030 2000 1.924 1.928
Portfolio 3336 4 2.008 2000 1.923 1.929
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 2090 3 2.088 2000 1.924 1.928
Portfolio 2090 2 1.996 2000 1.925 1.927
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 805 8 1.991 800 1.856 1.896
Portfolio 805 2 2.009 800 1.873 1.879
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 2162 3 2.080 2000 1.924 1.928
Portfolio 2162 6 2.023 2000 1.921 1.931
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 3086 6 2.046 2000 1.921 1.931
Portfolio 3086 4 2.060 2000 1.923 1.929
Observations Number of Regressors DW statistics Tabulated observations dL dU Canada - Period 2 Canada - Period 3 Canada - Period 4 USA - Period 1 USA - Period 2 USA - Period 3 Canada - Period 1
In this table we present upper and lower critical values of Durbin Watson statistics denoted as dL and dU based on various number of obesrvations applicable to our analyses. All values are for 5% level of significance.
Results from our regressions are denoted as DW statistics. Number of Regressors includes the constant. European Union - Period 1
TABLE 23 - Continued
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 770 4 1.999 750 1.872 1.888
Portfolio 770 8 1.864 750 1.861 1.899
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 1146 3 1.988 1150 1.9 1.907
Portfolio 1146 6 2.034 1150 1.894 1.912
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 768 4 1.956 750 1.872 1.888
Portfolio 768 5 2.113 750 1.869 1.891
Observations Number of Regressors DW statistics Tabulated observations dL dU
Index 2521 4 2.036 2000 1.923 1.929
Portfolio 2521 5 2.151 2000 1.922 1.93
Observations Number of Regressors DW statistics Tabulated observations dL dU
Appendix 5
TABLE 24 - Abbreviations Used in Tables of Regression Results
Abbreviation Explanation
Equivalent in Equations 2 and/or 3
OLS Ordinary Least Squares Method
-WHCCC White's Heteroscedasticity Consistent Coefficient Covariance -EGARCH (1,1) EGARCH method of estimation with one lag of squared residuals and one lag of conditional variance -Prob(Berra-Jarque) p - value of Berra Jarque normality test
-AIC Akaike's Information Criterion
-SIC Schwarz's Information Criterion -Prob(F-statistic) p-value of F-test of joint hypothesis of zero regression coefficients -Coeff. Regression coefficient for a particular variable -Prob. p - value of Student's t - test for value of coefficient being statistically equal to zero -OILRISE Relative change in oil price in case that the price appreciates d0Oil d0Oil
OILFALL Relative change in oil price in case that the price depreciates (1-d0)Oil
IBOR Interbank offered rate IBOR
INDEX Equity index raw without any adjustments Index
INDEXADJ Equity index adjusted for fluctuations exogenous factors that are explicitly used in our analyses IndexAdj
INDEXADJE
Equity index adjusted for fluctuations exogenous factors that are explicitly used in our analyses estimated
through EGARCH(1,1) method IndexAdjE
COMM Relative change in value of portfolio of agricultural commodities COMM
R Return of the portfolio that is being analyzed R
Dm
Prefix that indicates that a variable is multiplied by a dummy which distinguishes parts of data set before and after occurrence of a milestone dm
In this table we present list of abbreviations, where some of them correspond to variables used in the regressions and others are used in reporting the estimation statistics. The before last two abbreviations represent dummy variables which are usually multiplied with other variables. Therefore