Your company deals with Alliance and wants to hedge its risk using future contracts. However, Futures Contracts are not available in Alliance. Closely correlated commodity is Gold in which future contracts are available. You are provided with the following data. Calculate the Optimal Hedge Ratio and Total Number of Gold Future Contracts that your company should buy to hedge their position. | ||
Total Units of Alliance | 75,000 | |
Gold Future Contract Size | 2,000 | |
Day | Allyom Spot | Gold Future |
0 | 1,200 | 1,220 |
1 | 1,207 | 1,230 |
2 | 1,225 | 1,245 |
3 | 1,235 | 1,254 |
4 | 1,254 | 1,260 |
5 | 1,250 | 1,254 |
6 | 1,265 | 1,270 |
7 | 1,220 | 1,245 |
8 | 1,225 | 1,250 |
9 | 1,251 | 1,263 |
10 | 1,235 | 1,254 |
11 | 1,215 | 1,210 |
12 | 1,220 | 1,240 |
13 | 1,210 | 1,230 |
14 | 1,185 | 1,195 |
15 | 1,194 | 1,209 |
Formulas USed:-
Correlation | =CORREL(B2:B17,C2:C17) |
Std of Alloy | =STDEV(B2:B17) |
Std of Gold | =STDEV(C2:C17) |
Optimal Hedge Ratio | =F2*F3/F4 |
Contract Size | 2000 |
Units Of Alliance | 75000 |
NO of contracts required | =F7*F5/F6 |
I hope my efforts will be fruitful to you....
Thank YOU.
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