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Table 5 Coefficients of the BEKK(1,1) process for the second period (2006 to 2015)

From: An analysis of price and volatility transmission in butter, palm oil and crude oil markets

 

2006–2015

 

Parameter matrix C (Eq. 2)

 

EU butter (c i,1)

Oceania butter (c i,2)

Crude palm oil (c i,3)

Crude oil Brent (c i,4)

EU butter (c 1,j )

0.0015

   

Oceania butter (c 2,j )

−0.0049

0.0097

  

Crude palm oil (c 3,j )

0.0007

0.0014

0.0021

 

Crude oil Brent (c 4,j )

−0.0006

0.0024

−0.0041

0.0001

 

Parameter matrix A (Eq. 2)

 

EU butter (a i,1)

Oceania butter (a i,2)

Crude palm oil (a i,3)

Crude oil Brent (a i,4)

EU butter (a 1,j )

0.0380

−0.0097

0.2470*

0.1483

Oceania butter (a 2,j )

−0.1863*

0.0633

−0.0380

−0.1082

Crude palm oil (a 3,j )

0.0620

−0.0848

−0.0134

0.1318

Crude oil Brent (a 4,j )

0.0074

0.1108**

−0.0995**

0.2255**

 

Parameter matrix G (Eq. 2)

 

EU butter (g i,1)

Oceania butter (g i,2)

Crude palm oil (g i,3)

Crude oil Brent (g i,4)

EU butter (g 1,j )

0.9671*

0.0426

0.0434

−0.0153

Oceania butter (g 2,j )

0.0184

0.9299*

−0.0218

0.0010

Crude palm oil (g 3,j )

−0.0253

0.0412

0.9615*

−0.0053

Crude oil Brent (g 4,j )

0.0022

−0.0417

0.0323

0.9532*

  1. Coefficients of the parameter matrices C, A and G. Note that C is a triangular matrix. The symbols *, ** and *** denote rejection of the null hypothesis that the corresponding parameter equals 0 at the 1 or 5 % confidence level