Multiscale Hedging with Crude Oil Futures Based on EMD Method
Table 4
In-sample minimum-CVaR hedging.
HR
CVaR
Variance
Returns
Utilitya
Panel A: constant hedge ratio and hedging performance
Original
0.6023
3.4572
1.3693
0.0009
−10.3706
Short
0.5020
3.3546
1.4361
−0.0197
−10.0834
Medium
0.5231
1.0589
0.1726
0.0092
−3.1674
Long
1.1938
0.3298
0.0417
0.0269
−0.9625
Panel B: dynamic hedge ratio and hedging performance
Original
0.6434
3.4132
1.3638
0.0083
−10.2313
Short
0.5881
3.3474
1.4927
0.0335
−10.0088
Medium
0.7792
0.8984
0.3062
0.2305
−2.4648
Long
0.9056
0.1838
0.0432
0.1463
−0.4050
aThe 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).