Stationarity tests of equity returns
| Equities | ADF | KPSS | ||||||
|---|---|---|---|---|---|---|---|---|
| HFQ | MFQ | LFQ | RESID | HFQ | MFQ | LFQ | RESID | |
| DJAT | −17.70** | −8.15** | −6.60** | −17.83** | 0.05 | 0.33 | 1.82** | 20.48** |
| DJIME | −18.68** | −8.59** | −4.40** | −4.15** | 0.07 | 0.02 | 0.94** | 13.54** |
| DJMENA | −18.04** | −8.44** | −1.54 | −23.16** | 0.02 | 0.09 | 0.93** | 5.92** |
| DJSAP | −16.78** | −8.47** | −0.84 | −0.07** | 0.02 | 0.25 | 2.28** | 23.65** |
| DJSE | −16.90** | −9.92** | −1.21 | −11.50** | 0.03 | 0.03 | 1.33** | 21.58** |
| DJSEM | −16.69** | −7.89** | −8.96** | 1.02 | 0.04 | 0.05 | 1.85** | 23.64** |
| DJSEZ | −18.90** | −7.84** | −6.46** | −6.83** | 0.08 | 0.60* | 2.33** | 23.67** |
| DJSNA | −19.19** | −10.19** | −2.79 | −1.49 | 0.06 | 0.04 | 1.17** | 11.46** |
| DJSUS | −19.03** | −9.55** | −1.33 | −26.35** | 0.07 | 0.02 | 1.01** | 12.98** |
| DJSW | −18.40** | −10.35** | −2.49 | −6.25** | 0.03 | 0.03 | 1.05** | 13.29** |
| DJSWD | −18.22** | −8.78** | −0.58 | −9.41** | 0.02 | 0.02 | 0.94** | 23.50** |
| S.PAA | −18.44** | −8.83** | −2.71 | −28.39** | 0.01 | 0.04 | 2.81** | 15.45** |
| S.PBRICT | −16.94** | −7.65** | −5.94** | −2.85 | 0.13 | 0.17 | 4.84** | 23.60** |
| S.PEA | −17.18** | −7.24** | −1.75 | −9.76** | 0.02 | 0.18 | 2.14** | 23.65** |
| S.PFBMIS | −17.95** | −6.04** | −2.15 | 0.49 | 0.01 | 0.49* | 4.32** | 23.63** |
| S.PGBMI | −18.07** | −10.88** | −0.95 | −12.88** | 0.01 | 0.04 | 0.92** | 19.22** |
| S.PLABMI | −17.59** | −7.96** | −1.00 | −0.15 | 0.06 | 0.08 | 2.71** | 23.63** |
| S.PNA | −16.40** | −7.46** | −1.68 | −0.15 | 0.01 | 0.08** | 0.84** | 23.70** |
| S.PPAFS | −16.15** | −7.17** | −7.82** | −17.80** | 0.08 | 0.21 | 1.75** | 9.96** |
| S.PSSA | −17.87** | −8.99** | −2.46 | −6.84** | 0.04 | 0.03 | 2.34** | 22.26** |
| NAMERICAI | −19.25** | −10.23** | −1.02 | −25.66** | 0.04 | 10.02 | 1.92** | 6.84** |
| NAREITs | −16.58** | −8.95** | 0.84 | −3.18 | 0.03 | 0.04 | 3.10** | 23.58** |
| NASIAI | −17.17** | −8.80** | −13.16** | 0.38 | 0.02 | 0.06 | 5.35** | 23.65** |
| NBRICI | −16.79** | −7.20** | −1.25 | 0.70 | 0.10 | 0.04 | 1.19** | 23.65** |
| NDMI | −17.18** | −6.72** | −2.04 | −0.09 | 0.02 | 0.04 | 3.69** | 23.65** |
| NEMI | −17.44** | −7.77** | −0.98 | −9.27** | 0.07 | 0.08 | 2.95** | 21.35** |
| NEUROPI | −17.16** | −8.31** | 2.65 | 2.23 | 0.02 | 0.20 | 1.66** | 22.97** |
| NEUROZI | −17.60** | −8.99** | −1.17 | −22.51** | 0.10 | 0.13 | 1.46** | 4.95** |
| NGMCI | −18.01** | −9.07** | −7.27** | −1.85 | 0.01 | 0.10 | 2.43** | 23.62** |
| NGVOLNDX | −12.46** | −10.28** | −2.61 | 10.17 | 0.09 | 0.59* | 1.59** | 22.45** |
| Equities | ADF | KPSS | ||||||
|---|---|---|---|---|---|---|---|---|
| HFQ | MFQ | LFQ | RESID | HFQ | MFQ | LFQ | RESID | |
| DJAT | −17.70** | −8.15** | −6.60** | −17.83** | 0.05 | 0.33 | 1.82** | 20.48** |
| DJIME | −18.68** | −8.59** | −4.40** | −4.15** | 0.07 | 0.02 | 0.94** | 13.54** |
| DJMENA | −18.04** | −8.44** | −1.54 | −23.16** | 0.02 | 0.09 | 0.93** | 5.92** |
| DJSAP | −16.78** | −8.47** | −0.84 | −0.07** | 0.02 | 0.25 | 2.28** | 23.65** |
| DJSE | −16.90** | −9.92** | −1.21 | −11.50** | 0.03 | 0.03 | 1.33** | 21.58** |
| DJSEM | −16.69** | −7.89** | −8.96** | 1.02 | 0.04 | 0.05 | 1.85** | 23.64** |
| DJSEZ | −18.90** | −7.84** | −6.46** | −6.83** | 0.08 | 0.60* | 2.33** | 23.67** |
| DJSNA | −19.19** | −10.19** | −2.79 | −1.49 | 0.06 | 0.04 | 1.17** | 11.46** |
| DJSUS | −19.03** | −9.55** | −1.33 | −26.35** | 0.07 | 0.02 | 1.01** | 12.98** |
| DJSW | −18.40** | −10.35** | −2.49 | −6.25** | 0.03 | 0.03 | 1.05** | 13.29** |
| DJSWD | −18.22** | −8.78** | −0.58 | −9.41** | 0.02 | 0.02 | 0.94** | 23.50** |
| S.PAA | −18.44** | −8.83** | −2.71 | −28.39** | 0.01 | 0.04 | 2.81** | 15.45** |
| S.PBRICT | −16.94** | −7.65** | −5.94** | −2.85 | 0.13 | 0.17 | 4.84** | 23.60** |
| S.PEA | −17.18** | −7.24** | −1.75 | −9.76** | 0.02 | 0.18 | 2.14** | 23.65** |
| S.PFBMIS | −17.95** | −6.04** | −2.15 | 0.49 | 0.01 | 0.49* | 4.32** | 23.63** |
| S.PGBMI | −18.07** | −10.88** | −0.95 | −12.88** | 0.01 | 0.04 | 0.92** | 19.22** |
| S.PLABMI | −17.59** | −7.96** | −1.00 | −0.15 | 0.06 | 0.08 | 2.71** | 23.63** |
| S.PNA | −16.40** | −7.46** | −1.68 | −0.15 | 0.01 | 0.08** | 0.84** | 23.70** |
| S.PPAFS | −16.15** | −7.17** | −7.82** | −17.80** | 0.08 | 0.21 | 1.75** | 9.96** |
| S.PSSA | −17.87** | −8.99** | −2.46 | −6.84** | 0.04 | 0.03 | 2.34** | 22.26** |
| NAMERICAI | −19.25** | −10.23** | −1.02 | −25.66** | 0.04 | 10.02 | 1.92** | 6.84** |
| NAREITs | −16.58** | −8.95** | 0.84 | −3.18 | 0.03 | 0.04 | 3.10** | 23.58** |
| NASIAI | −17.17** | −8.80** | −13.16** | 0.38 | 0.02 | 0.06 | 5.35** | 23.65** |
| NBRICI | −16.79** | −7.20** | −1.25 | 0.70 | 0.10 | 0.04 | 1.19** | 23.65** |
| NDMI | −17.18** | −6.72** | −2.04 | −0.09 | 0.02 | 0.04 | 3.69** | 23.65** |
| NEMI | −17.44** | −7.77** | −0.98 | −9.27** | 0.07 | 0.08 | 2.95** | 21.35** |
| NEUROPI | −17.16** | −8.31** | 2.65 | 2.23 | 0.02 | 0.20 | 1.66** | 22.97** |
| NEUROZI | −17.60** | −8.99** | −1.17 | −22.51** | 0.10 | 0.13 | 1.46** | 4.95** |
| NGMCI | −18.01** | −9.07** | −7.27** | −1.85 | 0.01 | 0.10 | 2.43** | 23.62** |
| NGVOLNDX | −12.46** | −10.28** | −2.61 | 10.17 | 0.09 | 0.59* | 1.59** | 22.45** |
Note(s): [*, **] show significance levels at respectively 5 and 1%. HFQ, MFQ, LFQ and RESID denote high frequency, medium frequency, low frequency and residue, respectively
Source(s): Table by authors
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