Regime shifting model estimates
| Panel A: Regime specific coefficients – cointegrating vector | |||||||
|---|---|---|---|---|---|---|---|
| ETNs (29 November 2010 through 15 February 2018) | ETNs (3 October 2011 through 31 March 2018) | ETFs (3 October 2011 through 31 March 2018) | |||||
| Regime 1 | Regime 2 | Regime 1 | Regime 2 | Regime 1 | Regime 2 | ||
| µ | 7.658449 | 7.69224 | 7.40075 | 9.19638 | µ | 5.3876 | 5.486448 |
| Ln(TVIX) | 0.037468 | 0.10821 | 0.01060 | 0.25611 | Ln(UVXY) | −0.00409 | −0.00575 |
| Ln(VXX) | 1.087805 | 0.706911 | 1.01639 | 0.22492 | Ln(VIXY) | 0.97557 | 0.970747 |
| Ln(XIV) | −0.03815 | −0.00758 | −0.00459 | −0.0244 | Ln(SVXY) | −0.00907 | −0.0083 |
| σ | 0.003646 | 0.090202 | 0.01547 | 0.023741 | σ | 0.0038 | 0.04002 |
| ECM (−1) | −0.12 | −0.05 | −0.13 | −0.05 | ECM (−1) | −0.18 | −0.07 |
| Panel A: Regime specific coefficients – cointegrating vector | |||||||
|---|---|---|---|---|---|---|---|
| ETNs (29 November 2010 through 15 February 2018) | ETNs (3 October 2011 through 31 March 2018) | ETFs (3 October 2011 through 31 March 2018) | |||||
| Regime 1 | Regime 2 | Regime 1 | Regime 2 | Regime 1 | Regime 2 | ||
| µ | 7.658449 | 7.69224 | 7.40075 | 9.19638 | µ | 5.3876 | 5.486448 |
| Ln(TVIX) | 0.037468 | 0.10821 | 0.01060 | 0.25611 | Ln(UVXY) | −0.00409 | −0.00575 |
| Ln(VXX) | 1.087805 | 0.706911 | 1.01639 | 0.22492 | Ln(VIXY) | 0.97557 | 0.970747 |
| Ln(XIV) | −0.03815 | −0.00758 | −0.00459 | −0.0244 | Ln(SVXY) | −0.00907 | −0.0083 |
| σ | 0.003646 | 0.090202 | 0.01547 | 0.023741 | σ | 0.0038 | 0.04002 |
| ECM (−1) | −0.12 | −0.05 | −0.13 | −0.05 | ECM (−1) | −0.18 | −0.07 |
| Panel B: Regime specific coefficients – cointegrating vector | |||||
|---|---|---|---|---|---|
| ETNs (29 November 2010 through 15 February 2018) | ETFs (3 October 2011 through 31 March 2018) | ||||
| Regime 1 | Regime 2 | Regime 1 | Regime 2 | ||
| Ln(TVIX) → Ln(SPVXSTR) | 0.037468 | 0.10821 | Ln(UVXY) → Ln(SPVXSTR) | −0.00409 | −0.00575 |
| Ln(VXX) → Ln(SPVXSTR) | 1.087805 | 0.706911 | Ln(VIXY) → Ln(SPVXSTR) | 0.97557 | 0.970747 |
| Ln(XIV) → Ln(SPVXSTR) | −0.03815 | −0.00758 | Ln(SVXY) → Ln(SPVXSTR) | −0.00907 | −0.0083 |
| Ln(SPVXSTR) → Ln(TVIX) | 26.68944 | 9.24129 | Ln(SPVXSTR) → Ln(UVXY) | −244.618 | −173.822 |
| Ln(VXX) → Ln(TVIX) | −29.0329 | −6.53277 | Ln(VIXY) → Ln(UVXY) | 238.642 | 138.738 |
| Ln(XIV) → Ln(TVIX) | 1.018202 | 0.070049 | Ln(SVXY) → Ln(UVXY) | −2.2182 | −1.44289 |
| Ln(SPVXSTR) → Ln(VXX) | 0.919282 | 1.414605 | Ln(SPVXSTR) → Ln(VIXY) | 1.02504 | 1.03014 |
| Ln(TVIX) → Ln(VXX) | −0.03444 | −0.15307 | Ln(UVXY) → Ln(VIXY) | 0.00419 | 0.00593 |
| Ln(XIV) → Ln(VXX) | 0.03507 | 0.01072 | Ln(SVXY) → Ln(VIXY) | 0.0093 | 0.00855 |
| Ln(SPVXSTR) → Ln(XIV) | −26.2123 | −131.926 | Ln(SPVXSTR) → Ln(SVXY) | −110.278 | −120.467 |
| Ln(TVIX) → Ln(XIV) | 0.982123 | 14.27573 | Ln(UVXY) → Ln(SVXY) | −0.450816 | −0.693049 |
| Ln(VXX) → Ln(XIV) | 28.51389 | 93.26003 | Ln(VIXY) → Ln(SVXY) | 107.584 | 116.943 |
| Panel B: Regime specific coefficients – cointegrating vector | |||||
|---|---|---|---|---|---|
| ETNs (29 November 2010 through 15 February 2018) | ETFs (3 October 2011 through 31 March 2018) | ||||
| Regime 1 | Regime 2 | Regime 1 | Regime 2 | ||
| Ln(TVIX) → Ln(SPVXSTR) | 0.037468 | 0.10821 | Ln(UVXY) → Ln(SPVXSTR) | −0.00409 | −0.00575 |
| Ln(VXX) → Ln(SPVXSTR) | 1.087805 | 0.706911 | Ln(VIXY) → Ln(SPVXSTR) | 0.97557 | 0.970747 |
| Ln(XIV) → Ln(SPVXSTR) | −0.03815 | −0.00758 | Ln(SVXY) → Ln(SPVXSTR) | −0.00907 | −0.0083 |
| Ln(SPVXSTR) → Ln(TVIX) | 26.68944 | 9.24129 | Ln(SPVXSTR) → Ln(UVXY) | −244.618 | −173.822 |
| Ln(VXX) → Ln(TVIX) | −29.0329 | −6.53277 | Ln(VIXY) → Ln(UVXY) | 238.642 | 138.738 |
| Ln(XIV) → Ln(TVIX) | 1.018202 | 0.070049 | Ln(SVXY) → Ln(UVXY) | −2.2182 | −1.44289 |
| Ln(SPVXSTR) → Ln(VXX) | 0.919282 | 1.414605 | Ln(SPVXSTR) → Ln(VIXY) | 1.02504 | 1.03014 |
| Ln(TVIX) → Ln(VXX) | −0.03444 | −0.15307 | Ln(UVXY) → Ln(VIXY) | 0.00419 | 0.00593 |
| Ln(XIV) → Ln(VXX) | 0.03507 | 0.01072 | Ln(SVXY) → Ln(VIXY) | 0.0093 | 0.00855 |
| Ln(SPVXSTR) → Ln(XIV) | −26.2123 | −131.926 | Ln(SPVXSTR) → Ln(SVXY) | −110.278 | −120.467 |
| Ln(TVIX) → Ln(XIV) | 0.982123 | 14.27573 | Ln(UVXY) → Ln(SVXY) | −0.450816 | −0.693049 |
| Ln(VXX) → Ln(XIV) | 28.51389 | 93.26003 | Ln(VIXY) → Ln(SVXY) | 107.584 | 116.943 |
Note(s): Table shows Markov Switching VECM Model Estimates of the period. The ETN model is fitted over the period 29 November 2010 through 15 February 2018. The ETF model is fitted over the period 3 October 2011 through 31 March 2018. Regime 1: Low Mean Low Volatility; Regime 2: High Low Mean High Volatility. All estimates are statistically significant at the 1% level of significance. For the robustness, the ETN model is fitted over the period 3 October 2011 through 31 March 2018
Source(s): Authors’ own work
Sharing content requires targeting cookies to be enabled. Please update your cookie preferences to use this feature.