Modeling and Forecasting Cryptocurrency Returns and Volatility: An Application of GARCH Models

Table 4.

ARCH/GARCH Model Parameter Estimates forthe Returns Binance Coin

Parameter

ARCH

GARCH(1)

EGARCH

TGRACH

PARCH

CGARCH

IGARCH

Constant (C)

1.98E-05 (6.47E-06)

0.000159 (4.43E-05)

-0.342320 (0.067066)

0.000117 (3.38E-05)

0.000450 (0.000445)

0.005435 (0.004045)

0.080603 (0.008103)

Intercept (βo)

3.313563

(0.266065)

3.551616

(0.344165)

3.564080

(0.337255)

3.596805

(0.342196)

3.602737

(0.342894)

3.643569

(0.345275)

4.275472

(0.292226)

ARCH term (β1)

0.993055

(0.002233)

0.150742 (0.031092)

0.232379 (0.035186)

0.162147 (0.037854)

-0.134404 (0.082577)

0.984114 (0.012591)

0.080603 (0.008103)

GARCH term (α1)

 

0.824465 (0.026455)

0.026342 (0.021160)

-0.079305 (0.036838)

0.874756 (0.020204)

0.089453 (0.032567)

0.919397 (0.008103)

Γ

 

 

0.968686 (0.009395)

0.857998 (0.021971)

1.481660 (0.327102)

0.120283 (0.047456)

 

D

 

 

 

 

1.0000

 

 

Ø

 

 

 

 

 

0.593812 (0.176767)

 

β1 + α1

 

0.97520

0.25872

0.08284

0.74035

1.07356

1.0000

µ

 

0.001717

0.001717

0.001717

0.001717

0.001717

0.001717

Log L

2346.576

2419.554

2422.215

2422.274

2423.152

2423.720

2398.784

AIC

-3.097919

-3.193065

-3.195261

-3.195339

-3.195178

-3.195929

-3.168254

SC

-3.087367

-3.178995

-3.177673

-3.177752

-3.174074

-3.174824

-3.161219

Observed

1513

1513

1513

1513

1513

1513

1513

Note: Numbers in parenthesis indicates standard error

Note: Numbers in parenthesis indicates standard error