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Table 9 Robustness check for using realized semi-variance as dependent variable

From: Uncertainty index and stock volatility prediction: evidence from international markets

Asset

EMU

VIX

DVIX

VOL

USEPU

UKEPU

CNEPU

PCA

PLS

s-FPCA

s-PCA

AORD

0.00%

3.15%

27.25%

1.97%

− 0.02%

− 0.06%

− 0.07%

7.93%

5.32%

22.57%

22.99%

(1.945*)

(9.021***)

(19.287***)

(8.688***)

(0.779)

(0.151)

(0.526)

(14.187***)

(11.494***)

(17.559***)

(16.315***)

BFX

− 0.02%

3.03%

3.61%

0.34%

− 0.11%

0.11%

− 0.13%

1.32%

1.14%

3.13%

3.13%

(1.220)

(8.414***)

(8.920***)

(3.760***)

(− 0.285)

(2.229**)

(− 2.180**)

(6.615***)

(6.164***)

(8.088***)

(7.637***)

BSESN

0.31%

1.80%

1.52%

0.04%

− 0.04%

− 0.11%

− 0.09%

0.76%

1.01%

1.16%

1.37%

(3.403***)

(5.905***)

(7.153***)

(1.695*)

(0.893)

(0.224)

(0.907)

(5.675***)

(5.729***)

(6.537***)

(6.797***)

BVSP

0.05%

0.69%

0.31%

− 0.02%

− 0.14%

− 0.11%

− 0.09%

0.42%

0.40%

0.46%

0.56%

(2.102**)

(5.015***)

(3.571***)

(1.281)

(− 0.723)

(− 1.130)

(− 0.180)

(4.073***)

(4.074***)

(4.236***)

(4.710***)

DJI

0.09%

1.80%

0.36%

− 0.11%

− 0.11%

− 0.10%

− 0.16%

0.15%

0.32%

0.26%

0.36%

(1.851*)

(8.427***)

(3.480***)

(− 0.607)

(− 1.001)

(− 2.816**)

(− 0.777)

(2.289**)

(3.309***)

(2.864***)

(3.231***)

FCHI

0.08%

2.96%

3.76%

0.73%

− 0.11%

− 0.05%

− 0.12%

1.32%

1.45%

3.50%

3.55%

(2.133**)

(8.943***)

(9.869***)

(5.374***)

(− 0.390)

(0.217)

(− 1.476)

(6.938***)

(7.150***)

(9.621***)

(8.958***)

FTMIB

− 0.16%

1.70%

2.80%

0.35%

− 0.10%

− 0.02%

− 0.20%

0.91%

0.77%

2.73%

2.78%

(0.528)

(5.177***)

(6.628***)

(2.827***)

(− 0.122)

(0.469)

(− 1.320)

(3.853***)

(3.611***)

(6.311***)

(5.834***)

FTSE

0.15%

4.21%

9.36%

0.89%

− 0.08%

0.00%

− 0.13%

3.55%

2.85%

7.41%

7.97%

(2.539**)

(9.941***)

(13.069***)

(5.894***)

(0.530)

(0.994)

(− 0.396)

(9.919***)

(9.515***)

(11.500***)

(10.304***)

GDAXI

− 0.01%

1.99%

3.49%

0.74%

− 0.18%

− 0.03%

− 0.18%

1.36%

1.12%

2.99%

3.22%

(1.570)

(8.347***)

(9.522***)

(4.950***)

(− 0.884)

(0.737)

(− 1.777*)

(6.808***)

(6.243***)

(9.438***)

(9.281***)

GSPTSE

− 0.10%

1.33%

1.06%

− 0.03%

− 0.14%

− 0.04%

− 0.06%

0.63%

0.33%

0.87%

1.01%

(0.453)

(6.703***)

(5.398***)

(1.197)

(− 1.413)

(0.623)

(0.196)

(4.370***)

(3.336***)

(4.870***)

(5.142***)

HSI

0.29%

1.41%

0.37%

− 0.06%

− 0.15%

− 0.12%

− 0.19%

0.31%

0.75%

0.38%

0.51%

(3.328***)

(6.599***)

(3.658***)

(1.164)

(− 2.253**)

(− 1.029)

(− 0.109)

(3.185***)

(4.896***)

(3.636***)

(3.655***)

IBEX

0.08%

1.57%

2.31%

0.47%

− 0.11%

0.08%

− 0.06%

1.06%

1.04%

2.12%

2.35%

(2.053**)

(7.815***)

(7.922***)

(4.280***)

(0.547)

(1.777*)

(0.361)

(6.291***)

(6.232***)

(7.892***)

(7.740***)

KS11

0.48%

2.31%

1.13%

− 0.09%

− 0.14%

− 0.23%

− 0.15%

0.34%

1.02%

0.66%

1.01%

(4.145***)

(7.185***)

(5.891***)

(− 0.027)

(− 0.993)

(− 1.042)

(− 1.028)

(3.507***)

(5.780***)

(4.443***)

(5.104***)

KSE

− 0.11%

0.17%

0.43%

− 0.17%

− 0.01%

− 0.13%

− 0.10%

0.08%

0.02%

0.37%

0.35%

(0.299)

(2.463**)

(4.235***)

(− 0.898)

(0.848)

(− 0.164)

(− 1.463)

(2.068**)

(1.586)

(3.965***)

(3.979***)

MXX

0.12%

0.17%

0.16%

− 0.09%

− 0.27%

− 0.11%

− 0.08%

0.15%

0.25%

0.14%

0.21%

(2.372**)

(4.353***)

(2.639***)

(1.091)

(− 2.857***)

(− 1.716*)

(− 0.948)

(2.362**)

(3.220***)

(2.761***)

(2.839***)

N225

0.25%

1.15%

5.86%

0.51%

− 0.14%

− 0.12%

− 0.13%

2.57%

2.12%

5.97%

6.39%

(3.250***)

(6.506***)

(10.649***)

(4.254***)

(− 3.016***)

(− 1.680*)

(− 0.761)

(7.849***)

(7.525***)

(10.285***)

(9.296***)

OMXC20

0.46%

2.33%

2.44%

0.60%

− 0.16%

− 0.01%

− 0.11%

1.64%

2.57%

2.78%

3.15%

(3.852***)

(6.787***)

(6.620***)

(4.660***)

(− 1.208)

(0.822)

(− 1.413)

(6.389***)

(7.665***)

(6.646***)

(6.207***)

OMXHPI

0.39%

3.86%

2.58%

0.66%

− 0.22%

0.01%

− 0.08%

2.71%

2.08%

2.75%

3.09%

(3.625***)

(7.915***)

(7.852***)

(3.962***)

(− 0.660)

(1.325)

(0.174)

(8.199***)

(7.253***)

(7.879***)

(7.850***)

OMXSPI

0.24%

3.27%

4.17%

0.77%

− 0.23%

0.24%

− 0.07%

3.25%

1.88%

4.23%

4.44%

(2.779***)

(7.481***)

(9.330***)

(4.425***)

(− 0.480)

(2.748***)

(0.141)

(8.312***)

(6.793***)

(9.146***)

(8.867***)

OSEAX

0.24%

3.17%

11.19%

0.83%

− 0.17%

− 0.07%

− 0.12%

5.19%

3.49%

8.58%

9.16%

(3.444***)

(9.081***)

(13.135***)

(5.459***)

(− 1.030)

(0.502)

(− 0.842)

(10.977***)

(10.051***)

(11.224***)

(10.196***)

SSEC

− 0.09%

− 0.13%

0.46%

− 0.09%

− 0.19%

− 0.01%

− 0.16%

0.15%

0.01%

0.12%

0.13%

(0.242)

(2.485**)

(4.110***)

(− 0.600)

(− 1.547)

(0.674)

(− 0.589)

(2.132**)

(1.198)

(2.778***)

(2.804***)

SSMI

0.17%

1.83%

3.63%

0.50%

− 0.08%

− 0.09%

− 0.01%

1.55%

1.52%

3.36%

3.67%

(2.719***)

(8.146***)

(9.403***)

(4.267***)

(− 1.480)

(− 0.436)

(0.776)

(7.469***)

(7.048***)

(9.157***)

(8.843***)

STOXX50E

− 0.01%

2.80%

5.83%

0.81%

− 0.18%

− 0.02%

− 0.19%

2.15%

1.63%

4.30%

4.87%

(1.496)

(8.727***)

(11.030***)

(5.237***)

(− 0.182)

(0.289)

(− 2.850***)

(8.561***)

(7.647***)

(10.392***)

(10.007***)

  1. This table reports out-of-sample results for using realized semi-variance in models (7) and (8). The bold font highlights the significantly positive \(R_{\mathrm {OS}}^{2}\)s according to the Clark and West (2007) test, and the underline font highlights the biggest one. The statistics of Clark and West (2007) test are shown in parentheses, which corresponds to test \(H_0\): \(R_{OS}^2\le 0\) against \(H_A\): \(R_{OS}^2\)>0. *, ** and *** refer to statistical significance at 10%, 5% and 1% level, respectively