| Literature DB >> 36061103 |
Michael Di1, Ke Xu1.
Abstract
This paper examines implied volatility spillovers and connectedness between Bitcoin and a broad range of traditional financial assets (U.S. equity market, gold, crude oil, emerging markets and developing markets) from January 8, 2019 to January 20, 2022. Vector Auto-Regression and Generalized Forecast Error Variance Decomposition are used to compare results before COVID-19, during COVID-19 and after the vaccine becomes available. Results indicate higher connectedness during COVID-19 but very low connectedness after the vaccine is available, signaling recovery in financial markets. We also find that Bitcoin is a strong transmitter of volatility during COVID-19.Entities:
Keywords: Bitcoin; COVID-19 recovery; COVID-19 vaccine; Implied volatility spillover
Year: 2022 PMID: 36061103 PMCID: PMC9420692 DOI: 10.1016/j.frl.2022.103289
Source DB: PubMed Journal: Financ Res Lett ISSN: 1544-6131
Descriptive statistics and ADF stat.
| Panel A: Summary statistics of series in levels | |||||||
|---|---|---|---|---|---|---|---|
| Variable | N | Mean | Std. Dev. | Min | Max | ADF stat | |
| BVOL | 748 | 86.701 | 21.654 | 44.84 | 190.28 | −1.028 | 0.304 |
| VIX | 748 | 21.518 | 9.553 | 11.54 | 82.69 | −0.998 | 0.319 |
| GVX | 748 | 16.925 | 5.537 | 8.88 | 48.98 | −0.787 | 0.432 |
| OVX | 748 | 45.976 | 29.899 | 24.00 | 325.15 | −2.415 | 0.016 |
| VEM | 748 | 23.682 | 8.786 | 14.19 | 92.46 | −1.518 | 0.129 |
| VDM | 748 | 18.942 | 8.393 | 7.77 | 75.17 | −1.191 | 0.234 |
| USD | 748 | 115.528 | 2.973 | 110.54 | 126.14 | −0.005 | 0.996 |
| Panel B: Summary statistics of differenced series | |||||||
| 747 | −0.020 | 6.623 | −36.24 | 57.53 | −19.9949 | 0.000 | |
| 747 | 0.007 | 2.530 | −17.64 | 24.86 | −20.7189 | 0.000 | |
| 747 | 0.005 | 1.167 | −9.50 | 7.25 | −19.6891 | 0.000 | |
| 747 | −0.007 | 9.143 | −90.61 | 130.22 | −23.9101 | 0.000 | |
| 747 | 0.005 | 3.310 | −34.09 | 33.35 | −26.4795 | 0.000 | |
| 747 | 0.007 | 3.687 | −21.91 | 40.42 | −21.8751 | 0.000 | |
| 747 | 0.000 | 0.347 | −2.36 | 2.24 | −16.7965 | 0.000 | |
Daily observations of implied volatility and USD series are summarized in Panel A. Panel B presents the summary statistics in the differenced series. The ADF test null hypothesis is that there is a unit root.
Fig. 1Implied volatility indexes (in levels).
Figure 1 plots implied volatility for Bitcoin (bvol), U.S. equity markets (vix), gold (gvx), crude oil (ovx), emerging markets (vem), developed markets(vdm) and trade weighted U.S. dollar price.
Fig. 2Daily number of new cases (7-day moving average).
Figure 2 plots a 7-day moving average of daily new COVID-19 cases globally in millions.
Correlation of volatility shocks.
| 1 | 0.112 | 0.230 | −0.010 | 0.143 | 0.042 | −0.006 | |
| 0.112 | 1 | 0.333 | 0.266 | 0.583 | 0.528 | 0.238 | |
| 0.230 | 0.333 | 1 | 0.190 | 0.332 | 0.273 | 0.109 | |
| −0.010 | 0.266 | 0.190 | 1 | 0.179 | 0.199 | 0.172 | |
| 0.143 | 0.583 | 0.332 | 0.179 | 1 | 0.421 | 0.230 | |
| 0.042 | 0.528 | 0.273 | 0.199 | 0.421 | 1 | 0.205 | |
| −0.006 | 0.238 | 0.109 | 0.172 | 0.230 | 0.205 | 1 |
Correlations of the first difference of data series used in models.
VAR(2) before COVID-19.
| −0.052 | −0.011 | −0.016 | −0.059 | −0.026 | −0.047 | |
| (−0.484) | (−0.795) | (−2.185) | (−2.77) | (−1.772) | (−2.021) | |
| −0.754 | −0.248 | 0.089 | −0.191 | 0.019 | 0.461 | |
| (−1.45) | (−1.921) | (1.106) | (−1.152) | (0.16) | (1.601) | |
| 0.015 | −0.034 | −0.182 | −0.025 | −0.058 | 0.221 | |
| (0.038) | (−0.331) | (−2.42) | (−0.129) | (−0.621) | (0.9) | |
| −0.045 | 0.039 | 0.018 | −0.070 | 0.002 | 0.072 | |
| (−0.29) | (1.051) | (0.68) | (−0.91) | (0.061) | (0.957) | |
| 0.768 | 0.018 | −0.076 | 0.226 | −0.176 | 0.219 | |
| (0.993) | (0.122) | (−0.974) | (1.336) | (−1.219) | (0.888) | |
| 0.158 | 0.090 | 0.002 | 0.017 | 0.072 | −0.700 | |
| (1.608) | (1.824) | (0.075) | (0.529) | (1.737) | (−7.718) | |
| −0.018 | −0.014 | −0.008 | −0.021 | −0.028 | 0.03 | |
| (−0.252) | (−1.048) | (−0.944) | (−1.238) | (−2.617) | (0.763) | |
| −0.528 | −0.247 | 0.022 | 0.041 | −0.075 | 0.007 | |
| (−1.033) | (−1.939) | (0.309) | (0.276) | (−0.581) | (0.026) | |
| −0.031 | 0.373 | −0.065 | 0.194 | 0.249 | −0.079 | |
| (−0.055) | (3.46) | (−0.704) | (1.147) | (2.743) | (−0.441) | |
| 0.075 | −0.026 | −0.043 | −0.069 | −0.006 | 0.036 | |
| (0.511) | (−0.668) | (−1.474) | (−0.858) | (−0.185) | (0.631) | |
| 0.314 | 0.040 | 0.042 | −0.140 | −0.030 | −0.004 | |
| (0.594) | (0.312) | (0.587) | (−0.819) | (−0.236) | (−0.016) | |
| 0.219 | 0.008 | −0.014 | 0.007 | 0.002 | −0.279 | |
| (2.332) | (0.184) | (−0.491) | (0.181) | (0.048) | (−3.047) | |
| 0.106 | 1.706 | −0.173 | 1.239 | 1.639 | 0.851 | |
| (0.088) | (4.694) | (−0.563) | (2.093) | (4.939) | (1.383) | |
| Obs. | 268 | 268 | 268 | 268 | 268 | 268 |
| R2 | 0.024 | 0.211 | 0.069 | 0.074 | 0.197 | 0.404 |
VAR(2) is run on the differenced implied volatility series with USD shocks as an exogenous variable using data from January 11th, 2019 to February 21st, 2020. Estimates and t-values (calculated using White heteroskedastic standard errors) are presented in this table. The .l1 and .l2 suffixes are used to denote the first and second lag of the series.
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VAR(2) during COVID-19.
| −0.018 | 0.112 | 0.062 | 0.000 | 0.068 | −0.041 | |
| (−0.165) | (8.154) | (8.592) | (0.023) | (4.719) | (−1.772) | |
| 0.190 | −0.338 | 0.216 | 0.365 | 0.191 | 0.212 | |
| (0.365) | (−2.623) | (2.681) | (2.199) | (1.630) | (0.735) | |
| 1.134 | 0.147 | −0.061 | −0.946 | 0.279 | 0.308 | |
| (2.796) | (1.416) | (−0.810) | (−4.852) | (2.999) | (1.256) | |
| −0.035 | −0.010 | −0.003 | 0.085 | −0.013 | 0.006 | |
| (−0.223) | (−0.276) | (−0.106) | (1.113) | (−0.463) | (0.082) | |
| −0.179 | −0.120 | −0.089 | −0.453 | −0.43 | −0.189 | |
| (−0.231) | (−0.833) | (−1.146) | (−2.683) | (−2.979) | (−0.767) | |
| 0.132 | −0.009 | −0.122 | −0.233 | −0.049 | −0.503 | |
| (1.344) | (−0.176) | (−5.500) | (−7.136) | (−1.178) | (−5.552) | |
| −0.103 | 0.057 | 0.017 | 0.127 | 0.007 | −0.106 | |
| (−1.421) | (4.213) | (1.909) | (7.397) | (0.68) | (−2.659) | |
| 0.576 | 0.219 | 0.112 | 0.782 | 0.532 | 0.591 | |
| (1.128) | (1.721) | (1.566) | (5.227) | (4.133) | (2.229) | |
| −0.478 | −0.169 | −0.194 | 0.959 | −0.186 | 0.023 | |
| (−0.841) | (−1.570) | (−2.113) | (5.665) | (−2.048) | (0.130) | |
| −0.060 | −0.004 | 0.010 | −0.270 | −0.027 | −0.034 | |
| (−0.407) | (−0.104) | (0.334) | (−3.343) | (−0.822) | (−0.59) | |
| 0.193 | −0.178 | 0.045 | −0.118 | −0.199 | −0.329 | |
| (0.366) | (−1.390) | (0.626) | (−0.688) | (−1.561) | (−1.328) | |
| 0.190 | 0.011 | −0.026 | −0.389 | 0.032 | −0.205 | |
| (2.026) | (0.248) | (−0.931) | (−10.052) | (0.790) | (−2.241) | |
| −0.726 | 2.264 | 0.164 | 5.848 | 2.776 | 2.642 | |
| (−0.601) | (6.23) | (0.535) | (9.877) | (8.368) | (4.294) | |
| Obs. | 193 | 193 | 193 | 193 | 193 | 193 |
| R2 | 0.171 | 0.314 | 0.233 | 0.159 | 0.357 | 0.365 |
VAR(2) is run on the differenced implied volatility series with USD shocks as an exogenous variable using data from February 24th, 2020 to December 3rd, 2020. Estimates and t-values (calculated using White heteroskedastic standard errors) are presented in this table. The .l1 and .l2 suffixes are used to denote the first and second lag of the series.
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VAR(2) after COVID-19 vaccine.
| −0.126 | −0.013 | −0.004 | −0.020 | 0.019 | −0.013 | |
| (−1.181) | (−0.961) | (−0.512) | (−0.940) | (1.327) | (−0.545) | |
| −0.105 | −0.198 | 0.029 | 0.031 | 0.067 | 0.246 | |
| (−0.203) | (−1.537) | (0.367) | (0.188) | (0.575) | (0.855) | |
| −0.349 | 0.134 | −0.109 | 0.197 | 0.746 | 0.379 | |
| (−0.860) | (1.296) | (−1.451) | (1.011) | (8.028) | (1.543) | |
| 0.009 | −0.016 | −0.01 | −0.185 | 0.105 | 0.016 | |
| (0.058) | (−0.430) | (−0.382) | (−2.426) | (3.750) | (0.210) | |
| 0.222 | −0.023 | 0.005 | 0.009 | −0.617 | −0.038 | |
| (0.287) | (−0.160) | (0.062) | (0.051) | (−4.273) | (−0.153) | |
| −0.155 | −0.040 | −0.035 | −0.039 | −0.043 | −0.547 | |
| (−1.584) | (−0.816) | (−1.573) | (−1.209) | (−1.022) | (−6.03) | |
| −0.062 | 0.015 | 0.012 | −0.057 | −0.001 | 0.007 | |
| (−0.86) | (1.126) | (1.418) | (−3.292) | (−0.064) | (0.172) | |
| 0.081 | −0.075 | 0.025 | 0.194 | 0.250 | 0.307 | |
| (0.158) | (−0.591) | (0.353) | (1.298) | (1.947) | (1.160) | |
| 0.684 | −0.112 | −0.096 | 0.169 | −0.216 | −0.002 | |
| (1.204) | (−1.040) | (−1.045) | (0.996) | (−2.382) | (−0.009) | |
| −0.057 | 0.029 | −0.009 | −0.165 | 0.029 | 0.036 | |
| (−0.387) | (0.728) | (−0.305) | (−2.036) | (0.877) | (0.631) | |
| 0.008 | 0.005 | 0.016 | 0.028 | −0.254 | −0.005 | |
| (0.016) | (0.041) | (0.221) | (0.164) | (−1.999) | (−0.020) | |
| 0.017 | −0.005 | −0.027 | −0.093 | −0.049 | −0.310 | |
| (0.177) | (−0.114) | (−0.970) | (−2.394) | (−1.216) | (−3.385) | |
| −0.050 | 1.793 | 0.437 | 1.637 | 1.745 | 2.390 | |
| (−0.042) | (4.933) | (1.426) | (2.765) | (5.259) | (3.886) | |
| Obs. | 280 | 280 | 280 | 280 | 280 | 280 |
| R2 | 0.055 | 0.113 | 0.095 | 0.071 | 0.314 | 0.248 |
VAR(2) is run on the differenced implied volatility series with USD shocks as an exogenous variable using data from December 4th, 2020 to January 20th, 2022. Estimates and t-values (calculated using White heteroskedastic standard errors) are presented in this table. The .l1 and .l2 suffixes are used to denote the first and second lag of the series.
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Generalised Forecast Error Variance Decomposition for subsample models.
| Panel A: Before COVID-19 - TCI: 34.8% | ||||||
|---|---|---|---|---|---|---|
| 0.959 | 0.002 | 0.021 | 0.002 | 0.005 | 0.011 | |
| 0.003 | 0.467 | 0.110 | 0.052 | 0.301 | 0.067 | |
| 0.027 | 0.122 | 0.628 | 0.081 | 0.129 | 0.013 | |
| 0.023 | 0.081 | 0.088 | 0.701 | 0.093 | 0.014 | |
| 0.015 | 0.294 | 0.108 | 0.060 | 0.453 | 0.070 | |
| 0.019 | 0.103 | 0.051 | 0.020 | 0.103 | 0.704 | |
| Sum others | 0.087 | 0.601 | 0.378 | 0.216 | 0.631 | 0.174 |
| Panel B: During COVID-19 - TCI: 42.6% | ||||||
| 0.641 | 0.076 | 0.115 | 0.004 | 0.128 | 0.036 | |
| 0.025 | 0.477 | 0.030 | 0.033 | 0.245 | 0.190 | |
| 0.125 | 0.075 | 0.562 | 0.021 | 0.130 | 0.086 | |
| 0.020 | 0.055 | 0.045 | 0.829 | 0.028 | 0.022 | |
| 0.060 | 0.290 | 0.067 | 0.010 | 0.417 | 0.156 | |
| 0.032 | 0.221 | 0.048 | 0.015 | 0.168 | 0.516 | |
| Sum others | 0.262 | 0.718 | 0.304 | 0.083 | 0.699 | 0.491 |
| Panel C: After vaccine - TCI: 25.7% | ||||||
| 0.943 | 0.014 | 0.019 | 0.001 | 0.015 | 0.008 | |
| 0.008 | 0.547 | 0.075 | 0.102 | 0.073 | 0.195 | |
| 0.017 | 0.105 | 0.750 | 0.030 | 0.022 | 0.077 | |
| 0.005 | 0.133 | 0.024 | 0.758 | 0.021 | 0.058 | |
| 0.008 | 0.087 | 0.024 | 0.021 | 0.813 | 0.048 | |
| 0.001 | 0.208 | 0.050 | 0.047 | 0.048 | 0.646 | |
| Sum others | 0.039 | 0.547 | 0.192 | 0.200 | 0.180 | 0.385 |
This table summarises the empirical results of return spillovers between Bitcoin and traditional financial markets. Results are based on GFEVD for VAR(2) subsample models presented in Tables 3-5. The “Sum others” column sums off-diagonal spillovers vertically to attain total spillovers to the column head. The Total Spillover Index (TCI) measures the proportion of forecast error variance that comes from spillovers.