3.4 cross hedging
Cross hedge: when the 2 assets are different.
NF: the units of future contract
NA: the units of asset to be hedged
Hedge ratio=the size of the position taken in the future contract/the size of the exposure=NA/NF
When the underlying asset is the same to the hedging asset, the hedge ratio=1;
When the cross hedging is used, the hedge ratio!=1.
3.4.1 calculate the minimum variance hedge ratio
The best Hedge ratio---minimize the variance of the value of the hedging position
Hedge effectiveness can be seen as the proportion of the variancethat is eliminated by hedging.
Hedge effectiveness=h^2=(ρσs/σf)^2
3.4.2 optimal number of contracts
NF: the units of future contract
QF: the size of the future contract
NA: the units of asset to be hedged
N=NF/QF=h*NA/QF