Results of the GARCH(1,1) method with exogenous variable
| (a) Mean equation | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RBTC | RCardano | Rchainlink | REthereum | RLitecoin | RXRP | |||||||
| Variable | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig |
| RBTC | – | 0.0798 | * | 0.2816 | *** | 0.3779 | *** | 0.4151 | *** | 0.1280 | *** | |
| RCardano | 0.0955 | *** | – | 0.0866 | *** | 0.0672 | *** | 0.0697 | *** | 0.1242 | *** | |
| RChainlink | 0.0606 | *** | – | 0.0726 | *** | (0.0468) | *** | |||||
| REthereum | 0.3255 | *** | 0.4494 | *** | 0.5082 | *** | – | 0.4265 | *** | 0.3473 | *** | |
| RLitecoin | 0.2015 | *** | 0.2434 | *** | 0.3673 | *** | – | 0.1777 | *** | |||
| RXRP | 0.2899 | *** | 0.1815 | *** | 0.1029 | *** | – | |||||
| RGold | ||||||||||||
| REM | (0.1477) | * | ||||||||||
| RSP500 | ||||||||||||
| RWorld | ||||||||||||
| ΔYield3m | ||||||||||||
| ΔYield10Y | (0.0007) | ** | ||||||||||
| ΔYield30Y | 0.0020 | ** | ||||||||||
| # Obs | 706 | 706 | 706 | 706 | 706 | 706 | ||||||
| (a) Mean equation | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RBTC | RCardano | Rchainlink | REthereum | RLitecoin | RXRP | |||||||
| Variable | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig |
| RBTC | – | 0.0798 | * | 0.2816 | *** | 0.3779 | *** | 0.4151 | *** | 0.1280 | *** | |
| RCardano | 0.0955 | *** | – | 0.0866 | *** | 0.0672 | *** | 0.0697 | *** | 0.1242 | *** | |
| RChainlink | 0.0606 | *** | – | 0.0726 | *** | (0.0468) | *** | |||||
| REthereum | 0.3255 | *** | 0.4494 | *** | 0.5082 | *** | – | 0.4265 | *** | 0.3473 | *** | |
| RLitecoin | 0.2015 | *** | 0.2434 | *** | 0.3673 | *** | – | 0.1777 | *** | |||
| RXRP | 0.2899 | *** | 0.1815 | *** | 0.1029 | *** | – | |||||
| RGold | ||||||||||||
| REM | (0.1477) | * | ||||||||||
| RSP500 | ||||||||||||
| RWorld | ||||||||||||
| ΔYield3m | ||||||||||||
| ΔYield10Y | (0.0007) | ** | ||||||||||
| ΔYield30Y | 0.0020 | ** | ||||||||||
| # Obs | 706 | 706 | 706 | 706 | 706 | 706 | ||||||
| (b) Variance equation, GARCH = C + ARCH beta * RESID(−1)ˆ2 + GARCH beta * GARCH(−1) + volume beta * volume) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Bitcoin | Cardano | Chainlink | Ethereum | Litecoin | XRP | |||||||
| Variable | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig |
| C | 0.0000 | *** | 0.0000 | *** | 0.0001 | *** | 0.0000 | *** | 0.0001 | *** | ||
| ARCH beta | 0.1284 | *** | 0.1880 | *** | 0.1153 | *** | 0.1885 | *** | 0.1091 | *** | 0.3825 | *** |
| GARCH beta | 0.8401 | *** | 0.8000 | *** | 0.8723 | *** | 0.7669 | *** | 0.9157 | *** | 0.6314 | *** |
| Volume beta | 0.0000 | *** | 0.0007 | *** | (0.0000) | * | 0.0000 | *** | ||||
| (b) Variance equation, GARCH = C + ARCH beta * RESID(−1)ˆ2 + GARCH beta * GARCH(−1) + volume beta * volume) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Bitcoin | Cardano | Chainlink | Ethereum | Litecoin | XRP | |||||||
| Variable | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig | Coefficient | Sig |
| C | 0.0000 | *** | 0.0000 | *** | 0.0001 | *** | 0.0000 | *** | 0.0001 | *** | ||
| ARCH beta | 0.1284 | *** | 0.1880 | *** | 0.1153 | *** | 0.1885 | *** | 0.1091 | *** | 0.3825 | *** |
| GARCH beta | 0.8401 | *** | 0.8000 | *** | 0.8723 | *** | 0.7669 | *** | 0.9157 | *** | 0.6314 | *** |
| Volume beta | 0.0000 | *** | 0.0007 | *** | (0.0000) | * | 0.0000 | *** | ||||
Note(s): Panel (a) shows the mean equation of daily returns of cryptocurrencies, stocks, bonds and gold. Significant terms are only shown
Panel (b) shows the volatility estimation containing the ARCH and GARCH coefficients
Due to the GARCH estimation requirement, data rows cannot be blank, so a common sample of 706 observations is used for estimation
So, the date range is from 10/04/2017 to 08/01/2020
Significance at the 10, 5 and 1% levels are indicated by *, ** and ***, respectively
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