From the above table, it can be said that the significance value of Box-Ljung Statistic is less than 0.05 which reflects that there is correlations in the index of Brazil over the period as the impact of current situations of index make its impact on the future period for the index.
Serial Correlations
Series:Brazil
Lag
Serial Correlation
Std. Error
1
.972
.062
2
.044
.062
3
-.066
.062
4
-.010
.062
5
-.011
.062
6
.004
.062
7
-.086
.062
8
.003
.062
9
-.086
.062
10
-.041
.062
11
.057
.062
12
-.008
.062
13
.006
.062
14
-.016
.062
15
-.090
.062
16
-.055
.062
In case of serial correlation, it can be observed from the above tablet that there is, no correlation in the index of Brazil over the period as the impact of current situations of index does not make its impact on the future period for the index as the significance value is less than 0.05.
Autocorrelations
Series:Canada
Lag
Autocorrelation
Std. Errora
Box-Ljung Statistic
Value
df
Sig.b
1
.978
.062
251.527
1
.000
2
.959
.062
494.470
2
.000
3
.939
.061
728.273
3
.000
4
.920
.061
953.282
4
.000
5
.901
.061
1.170E3
5
.000
6
.880
.061
1.378E3
6
.000
7
.858
.061
1.576E3
7
.000
8
.836
.061
1.765E3
8
.000
9
.809
.061
1.943E3
9
.000
10
.781
.061
2.109E3
10
.000
11
.751
.060
2.263E3
11
.000
12
.722
.060
2.406E3
12
.000
13
.696
.060
2.540E3
13
.000
14
.666
.060
2.663E3
14
.000
15
.636
.060
2.776E3
15
.000
16
.602
.060
2.877E3
16
.000
From the above table, it can be said that the significance value of Box-Ljung Statistic is less than 0.05 which reflects that there is correlations in the index of Canada over the period as the impact of current situations of index make its impact on the future period for the index.
Serial Correlations
Series:Canada
Lag
Serial Correlation
Std. Error
1
.978
.062
2
.066
.062
3
-.035
.062
4
-.005
.062
5
.027
.062
6
-.084
.062
7
-.044
.062
8
.013
.062
9
-.150
.062
10
-.052
.062
11
-.053
.062
12
-.004
.062
13
.046
.062
14
-.087
.062
15
-.018
.062
16
-.117
.062
In case of serial correlation, it can be observed from the above tablet that there is, no correlation in the index of Canada over the period as the impact of current situations of index does not make its impact on the future period for the index as the significance value is less than 0.05.
Part B: Runs Test
Descriptive Statistics
N
Mean
Std. Deviation
Minimum
Maximum
Percentiles
25th
50th (Median)
75th
Brazil
260
5.8050E4
9788.01333
31251.00
72767.00
5.2346E4
60313.0000
6.6215E4
Canada
260
1.2269E4
1666.58982
7591.47
14984.20
1.1463E4
12605.7400
1.3585E4
The significance value of run test in case of median of index of Brazil that is IBOVESPA shows the model is significant as the significance value is less than 0.05.
Runs Test 2
Brazil - IBOVESPA
Test Valuea
58050.0538
Cases < Test Value
116
Cases >= Test Value
144
Total Cases
260
Number of Runs
11
Z
-14.899
Asymp. Sig. (2-tailed)
.000
a. Mean
The significance value of run test in case of mean of index of Brazil that is IBOVESPA shows the model is significant as the significance value is less than 0.05.
Runs Test
Canada - S&P/TSX Composite index
Test Valuea
12605.74
Cases < Test Value
130
Cases >= Test Value
130
Total Cases
260
Number of Runs
6
Z
-15.534
Asymp. Sig. (2-tailed)
.000
a. Median
The significance value of run test in case of median of index of Canada that is S&P/TSX Composite index shows the model is significant as the significance value is less than 0.05.
The significance value of run test in case of mean of index of Canada that is S&P/TSX Composite index shows the model is significant as the significance value is less than 0.05.
Part C: The Distribution of Returns
This section of the report focuses on the distribution of returns for the two indices analysis.
Statistics
Brazil - IBOVESPA
N
Valid
260
Missing
0
Mean
5.8050E4
Std. Error of Mean
6.07027E2
Median
6.0313E4
Mode
5.77E4a
Std. Deviation
9.78801E3
Variance
9.581E7
Skewness
-.717
Std. Error of Skewness
.151
Kurtosis
-.325
Std. Error of Kurtosis
.301
Range
4.15E4
Minimum
3.13E4
Maximum
7.28E4
a. Multiple modes exist. The smallest value is shown
Brazil - IBOVESPA
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
31251
1
.4
.4
.4
31482
1
.4
.4
.8
35347
1
.4
.4
1.2
35610
1
.4
.4
1.5
35789
1
.4
.4
1.9
36399
1
.4
.4
2.3
36596
1
.4
.4
2.7
36665
1
.4
.4
3.1
36864
1
.4
.4
3.5
37105
1
.4
.4
3.8
37257
1
.4
.4
4.2
38132
1
.4
.4
4.6
38183
1
.4
.4
5.0
38715
1
.4
.4
5.4
39015
1
.4
.4
5.8
39131
1
.4
.4
6.2
39301
1
.4
.4
6.5
39342
1
.4
.4
6.9
39374
1
.4
.4
7.3
40076
1
.4
.4
7.7
40244
1
.4
.4
8.1
41583
1
.4
.4
8.5
41674
1
.4
.4
8.8
41907
1
.4
.4
9.2
42370
1
.4
.4
9.6
42730
1
.4
.4
10.0
42756
1
.4
.4
10.4
43095
1
.4
.4
10.8
43428
1
.4
.4
11.2
44133
1
.4
.4
11.5
44284
1
.4
.4
11.9
44391
1
.4
.4
12.3
44412
1
.4
.4
12.7
44517
1
.4
.4
13.1
44998
1
.4
.4
13.5
45533
1
.4
.4
13.8
45539
1
.4
.4
14.2
45778
1
.4
.4
14.6
45805
1
.4
.4
15.0
45849
1
.4
.4
15.4
46016
1
.4
.4
15.8
46647
1
.4
.4
16.2
46772
1
.4
.4
16.5
47290
1
.4
.4
16.9
47926
1
.4
.4
17.3
48559
1
.4
.4
17.7
49007
1
.4
.4
18.1
49221
1
.4
.4
18.5
49230
1
.4
.4
18.8
49408
1
.4
.4
19.2
50568
1
.4
.4
19.6
50598
1
.4
.4
20.0
50783
1
.4
.4
20.4
50902
1
.4
.4
20.8
50935
1
.4
.4
21.2
51244
1
.4
.4
21.5
51374
1
.4
.4
21.9
51396
1
.4
.4
22.3
51486
1
.4
.4
22.7
51618
1
.4
.4
23.1
51940
1
.4
.4
23.5
52072
1
.4
.4
23.8
52078
1
.4
.4
24.2
52324
1
.4
.4
24.6
52330
1
.4
.4
25.0
52393
1
.4
.4
25.4
52448
1
.4
.4
25.8
52638
1
.4
.4
26.2
52846
1
.4
.4
26.5
52922
1
.4
.4
26.9
52949
1
.4
.4
27.3
52998
1
.4
.4
27.7
53055
1
.4
.4
28.1
53198
1
.4
.4
28.5
53230
1
.4
.4
28.8
53341
1
.4
.4
29.2
53351
1
.4
.4
29.6
53423
1
.4
.4
30.0
53473
1
.4
.4
30.4
53558
1
.4
.4
30.8
54244
1
.4
.4
31.2
54267
1
.4
.4
31.5
54392
1
.4
.4
31.9
54457
1
.4
.4
32.3
54519
1
.4
.4
32.7
56444
1
.4
.4
37.7
56532
1
.4
.4
38.1
56584
1
.4
.4
38.5
56638
1
.4
.4
38.8
57701
2
.8
.8
43.5
57729
1
.4
.4
43.8
57799
1
.4
.4
44.2
57886
1
.4
.4
44.6
58236
1
.4
.4
45.0
58366
1
.4
.4
45.4
58547
1
.4
.4
45.8
58670
1
.4
.4
46.2
58823
1
.4
.4
46.5
58987
1
.4
.4
46.9
59076
1
.4
.4
47.3
59365
1
.4
.4
47.7
59478
1
.4
.4
48.1
59513
1
.4
.4
48.5
59988
1
.4
.4
48.8
60148
1
.4
.4
49.2
60259
1
.4
.4
49.6
60270
1
.4
.4
50.0
60356
1
.4
.4
50.4
60452
1
.4
.4
50.8
60465
1
.4
.4
51.2
60703
1
.4
.4
51.5
60894
1
.4
.4
51.9
60971
1
.4
.4
52.3
61017
1
.4
.4
52.7
61037
1
.4
.4
53.1
61060
1
.4
.4
53.5
61080
1
.4
.4
53.8
61172
1
.4
.4
54.2
61272
1
.4
.4
54.6
61430
1
.4
.4
55.0
61513
1
.4
.4
55.4
61546
1
.4
.4
55.8
61676
1
.4
.4
56.2
61868
1
.4
.4
56.5
61942
1
.4
.4
56.9
61947
1
.4
.4
57.3
61991
1
.4
.4
57.7
62319
1
.4
.4
58.1
62339
1
.4
.4
58.5
62445
1
.4
.4
58.8
62456
1
.4
.4
59.2
62585
1
.4
.4
59.6
62597
1
.4
.4
60.0
62697
1
.4
.4
60.4
62763
1
.4
.4
60.8
62871
1
.4
.4
61.2
63006
1
.4
.4
61.5
63098
1
.4
.4
61.9
63235
1
.4
.4
62.3
63394
1
.4
.4
62.7
63412
1
.4
.4
63.1
63476
1
.4
.4
63.5
63489
1
.4
.4
63.8
63605
1
.4
.4
64.2
63886
1
.4
.4
64.6
64050
1
.4
.4
65.0
64071
1
.4
.4
65.4
64276
1
.4
.4
65.8
64295
1
.4
.4
66.2
64321
2
.8
.8
66.9
64341
1
.4
.4
67.3
64417
1
.4
.4
67.7
64438
1
.4
.4
68.1
64446
1
.4
.4
68.5
64466
1
.4
.4
68.8
64609
2
.8
.8
69.6
64614
1
.4
.4
70.0
64824
1
.4
.4
70.4
64923
1
.4
.4
70.8
65059
1
.4
.4
71.2
65187
1
.4
.4
71.5
65269
1
.4
.4
71.9
65326
1
.4
.4
72.3
65402
1
.4
.4
72.7
65585
1
.4
.4
73.1
65639
1
.4
.4
73.5
65756
1
.4
.4
73.8
65855
1
.4
.4
74.2
66133
1
.4
.4
74.6
66200
1
.4
.4
75.0
66220
1
.4
.4
75.4
66264
1
.4
.4
75.8
66323
1
.4
.4
76.2
66327
1
.4
.4
76.5
66503
1
.4
.4
76.9
66677
1
.4
.4
77.3
66679
1
.4
.4
77.7
66684
1
.4
.4
78.1
66685
1
.4
.4
78.5
66698
1
.4
.4
78.8
66794
1
.4
.4
79.2
66807
1
.4
.4
79.6
66880
1
.4
.4
80.0
66903
1
.4
.4
80.4
67058
1
.4
.4
80.8
67082
1
.4
.4
81.2
67089
1
.4
.4
81.5
67204
1
.4
.4
81.9
67515
1
.4
.4
82.3
67530
1
.4
.4
82.7
67589
1
.4
.4
83.1
67597
1
.4
.4
83.5
67604
1
.4
.4
83.8
67766
1
.4
.4
84.2
67981
1
.4
.4
84.6
68012
1
.4
.4
85.0
68067
1
.4
.4
85.4
68095
1
.4
.4
85.8
68196
1
.4
.4
86.2
68226
1
.4
.4
86.5
68342
1
.4
.4
86.9
68486
1
.4
.4
87.3
68588
1
.4
.4
87.7
68683
1
.4
.4
88.1
68718
1
.4
.4
88.5
68829
1
.4
.4
88.8
68847
1
.4
.4
89.2
68978
1
.4
.4
89.6
69133
1
.4
.4
90.0
69267
1
.4
.4
90.4
69268
1
.4
.4
90.8
69305
1
.4
.4
91.2
69341
1
.4
.4
91.5
69366
1
.4
.4
91.9
69421
1
.4
.4
92.3
69509
1
.4
.4
92.7
69530
1
.4
.4
93.1
69646
1
.4
.4
93.5
69766
1
.4
.4
93.8
69786
1
.4
.4
94.2
70057
1
.4
.4
94.6
70229
1
.4
.4
95.0
70263
1
.4
.4
95.4
70367
1
.4
.4
95.8
70673
1
.4
.4
96.2
70809
1
.4
.4
96.5
70898
1
.4
.4
96.9
70940
1
.4
.4
97.3
71136
1
.4
.4
97.7
71417
1
.4
.4
98.1
71452
1
.4
.4
98.5
71830
1
.4
.4
98.8
72593
1
.4
.4
99.2
72607
1
.4
.4
99.6
72767
1
.4
.4
100.0
Total
260
100.0
100.0
Statistics
Canada - S&P/TSX Composite index
N
Valid
260
Missing
0
Mean
1.2269E4
Std. Error of Mean
1.03358E2
Median
1.2606E4
Mode
7.59E3a
Std. Deviation
1.66659E3
Variance
2.778E6
Skewness
-.820
Std. Error of Skewness
.151
Kurtosis
-.025
Std. Error of Kurtosis
.301
Range
7392.73
Minimum
7591.47
Maximum
1.50E4
a. Multiple modes exist. The smallest value is shown
Part D: Results Discussion and Efficient Market Hypothesis (EMH)
More pessimistic reports emerged in February 2008. The Institute of Supply Management noted that the U.S.'s service sector--a vast part of the economy that accounts for ...