Multiscale Hedging with Crude Oil Futures Based on EMD Method
Table 5
Out-of-sample minimum-CVaR hedging.
HR
CVaR
Variance
Returns
Utilitya
Panel A: constant hedge ratio and hedging performance
Original
0.5999
3.5606
1.6256
0.0052
−10.6767
Short
0.5201
3.4823
1.6442
−0.0278
−10.4748
Medium
0.5972
1.0861
0.1821
0.0084
−3.2499
Long
1.1014
0.3245
0.0485
0.0657
−0.9078
Panel B: dynamic hedge ratio and hedging performance
Original
0.6433
3.5904
1.4357
0.0025
−10.7687
Short
0.5984
3.6239
1.5070
−0.0291
−10.9009
Medium
0.7796
1.0846
0.1829
0.0070
−3.2469
Long
0.9933
0.3425
0.0440
0.0537
−0.9739
The utility is calculated by equation , where A is risk aversion level; by referring to Colon et al. [5], we set a moderate risk aversion level (A = 6).