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Table 3 Estimates and relevant statistics for the 5% and 1% CAViaRs of Bitcoin’s returns

From: On the factors of Bitcoin’s value at risk

 

5% VaR

1% VaR

Symmetric absolute value

Asymmetric slope

Symmetric absolute value

Asymmetric slope

\(\beta _{1}\)

0.359

0.527

0.169

1.837

Standard errors

0.174

0.143

0.102

0.722

p values

0.020

0.000

0.048

0.005

\(\beta _{2}\)

0.795

0.715

0.941

0.719

Standard errors

0.036

0.037

0.010

0.077

p values

0.000

0.000

0.000

0.000

\(\beta _{3}\)

0.327

0.294

0.197

0.445

Standard errors

0.087

0.045

0.023

0.147

p values

0.000

0.000

0.000

0.001

\(\beta _{4}\)

 

0.658

 

0.835

Standard errors

 

0.075

 

0.152

p values

 

0.000

 

0.000

RQ

2110.147

2070.816

686.464

672.943

Hits (%)

5.000

5.000

0.988

0.988

DQ p values

0.249

0.986

0.489

0.577

  1. This table presents the values of the estimated parameters, the corresponding standard errors, (one-sided) p values, the values of the regression quantile objective functions (RQ), the percentage of times the VaR is exceeded (Hits), and the p value of the dynamic quantile test (DQ) when computing the series of CAViaR of return on the price index of Bitcoin. For specification, symmetric absolute value, and asymmetric slope are adopted. The second and third columns are about the 5% VaR estimates, and the fourth and fifth columns are about the 1% VaR estimates. The sample period is from August 1, 2010 to December 31, 2019