Descriptive statistics
| BTC | ETH | XRP | LTC | XLM | XMR | DASH | USDT | XEM | DOGE | |
|---|---|---|---|---|---|---|---|---|---|---|
| Obs | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 |
| Min | −0.464 | −0.551 | −0.616 | −0.449 | −0.410 | −0.494 | −0.459 | −0.049 | −0.362 | −0.493 |
| Median(%) | 0.206 | 0.000 | −0.230 | 0.000 | −0.200 | 0.000 | −0.080 | 0.000 | 0.000 | 0.000 |
| Max | 0.225 | 0.412 | 1.027 | 0.510 | 0.723 | 0.585 | 0.438 | 0.057 | 0.996 | 0.518 |
| Mean(%) | 0.201 | 0.326 | 0.179 | 0.127 | 0.184 | 0.267 | 0.162 | 0.000 | 0.349 | 0.144 |
| Std | 0.039 | 0.062 | 0.066 | 0.055 | 0.073 | 0.064 | 0.057 | 0.006 | 0.078 | 0.061 |
| Skewness | −0.096 | 0.079 | 2.960 | 0.764 | 2.000 | 0.678 | 0.636 | 0.288 | 1.974 | 1.034 |
| Kurtosis | 14.133 | 8.147 | 46.686 | 13.256 | 18.957 | 9.839 | 8.964 | 16.772 | 19.808 | 15.181 |
| ES | −0.079 | −0.125 | −0.133 | −0.111 | −0.148 | −0.128 | −0.116 | −0.013 | −0.158 | −0.123 |
| VaR | −0.062 | −0.099 | −0.106 | −0.088 | −0.118 | −0.102 | −0.092 | −0.010 | −0.125 | −0.098 |
| Drawdown | 0.886 | 0.976 | 0.988 | 0.976 | 0.990 | 0.983 | 0.993 | 0.115 | 0.996 | 0.973 |
| Omega | 1.180 | 1.133 | 1.107 | 1.079 | 1.087 | 1.133 | 1.090 | 1.000 | 1.153 | 1.085 |
| Sortino | 0.071 | 0.051 | 0.047 | 0.036 | 0.042 | 0.064 | 0.043 | 0.000 | 0.075 | 0.037 |
| Sharpe | 0.051 | 0.037 | 0.027 | 0.023 | 0.025 | 0.042 | 0.028 | 0.000 | 0.045 | 0.024 |
| KPSS | 0.063 | 0.081 | 0.092 | 0.108 | 0.096 | 0.093 | 0.099 | 0.007 | 0.106 | 0.046 |
| PP | −44.86*** | −43.28*** | −45.86*** | −44.20*** | −41.61*** | −46.19*** | −45.00*** | −82.99*** | −47.10*** | −41.64*** |
| ADF | −30.33*** | −28.88*** | −27.45*** | −30.62*** | −30.02*** | −31.43*** | −31.57*** | −39.86*** | −34.30*** | −28.61*** |
| Shapiro-W | 0.88*** | 0.90*** | 0.71*** | 0.85*** | 0.82*** | 0.90*** | 0.89*** | 0.66*** | 0.85*** | 0.81*** |
| BTC | ETH | XRP | LTC | XLM | XMR | DASH | USDT | XEM | DOGE | |
|---|---|---|---|---|---|---|---|---|---|---|
| Obs | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 | 1901 |
| Min | −0.464 | −0.551 | −0.616 | −0.449 | −0.410 | −0.494 | −0.459 | −0.049 | −0.362 | −0.493 |
| Median(%) | 0.206 | 0.000 | −0.230 | 0.000 | −0.200 | 0.000 | −0.080 | 0.000 | 0.000 | 0.000 |
| Max | 0.225 | 0.412 | 1.027 | 0.510 | 0.723 | 0.585 | 0.438 | 0.057 | 0.996 | 0.518 |
| Mean(%) | 0.201 | 0.326 | 0.179 | 0.127 | 0.184 | 0.267 | 0.162 | 0.000 | 0.349 | 0.144 |
| Std | 0.039 | 0.062 | 0.066 | 0.055 | 0.073 | 0.064 | 0.057 | 0.006 | 0.078 | 0.061 |
| Skewness | −0.096 | 0.079 | 2.960 | 0.764 | 2.000 | 0.678 | 0.636 | 0.288 | 1.974 | 1.034 |
| Kurtosis | 14.133 | 8.147 | 46.686 | 13.256 | 18.957 | 9.839 | 8.964 | 16.772 | 19.808 | 15.181 |
| ES | −0.079 | −0.125 | −0.133 | −0.111 | −0.148 | −0.128 | −0.116 | −0.013 | −0.158 | −0.123 |
| VaR | −0.062 | −0.099 | −0.106 | −0.088 | −0.118 | −0.102 | −0.092 | −0.010 | −0.125 | −0.098 |
| Drawdown | 0.886 | 0.976 | 0.988 | 0.976 | 0.990 | 0.983 | 0.993 | 0.115 | 0.996 | 0.973 |
| Omega | 1.180 | 1.133 | 1.107 | 1.079 | 1.087 | 1.133 | 1.090 | 1.000 | 1.153 | 1.085 |
| Sortino | 0.071 | 0.051 | 0.047 | 0.036 | 0.042 | 0.064 | 0.043 | 0.000 | 0.075 | 0.037 |
| Sharpe | 0.051 | 0.037 | 0.027 | 0.023 | 0.025 | 0.042 | 0.028 | 0.000 | 0.045 | 0.024 |
| KPSS | 0.063 | 0.081 | 0.092 | 0.108 | 0.096 | 0.093 | 0.099 | 0.007 | 0.106 | 0.046 |
| PP | −44.86*** | −43.28*** | −45.86*** | −44.20*** | −41.61*** | −46.19*** | −45.00*** | −82.99*** | −47.10*** | −41.64*** |
| ADF | −30.33*** | −28.88*** | −27.45*** | −30.62*** | −30.02*** | −31.43*** | −31.57*** | −39.86*** | −34.30*** | −28.61*** |
| Shapiro-W | 0.88*** | 0.90*** | 0.71*** | 0.85*** | 0.82*** | 0.90*** | 0.89*** | 0.66*** | 0.85*** | 0.81*** |
Note(s): This table presents descriptive stats of the log returns of the cryptos. Expected shortfall (ES) and value at risk (VaR) used 95% confidence level. ADF (PP) is augmented Dickey-Fuller (Phillips and Perron) statistic. KPSS is Kwiatkowski, Phillips, Schmidt and Shin statistic. The Shapiro-Wilk is to test normality. *** Statistically sig at 1 % level. The risk-free rate was assumed to be zero for the calculation of Sharpe and minimum acceptance return (MAR) of Sortino. A target threshold of zero was also used in omega ratio
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