finance derivatives : Please check the answers for question 2

- 5 Q27. Jumbo Airline, a hypothetical company, will purchase 2,5 million gallons of jet fuel in one month and hedges using heating oil futures. Suppose that size of one heating oil futures is unknown. From historical data OF=0.0325, Os=0.0295, and p=0.908. In addition, the spot price is 1.95 and the futures price is 1.98 (both dollars per gallon). (1) What will be the size of heating oil futures if 4.51 heating oil futures are required for optimal hedge with tailing? Hedge ratio = Rx Oa/Of = 0.908 x (0.0295/0.0325) = 0.8241 Jet fuel that requires hedging = 2,500,000 x 82.41% = 2060500 Number of futures with tailing = 2060500/4.51 x 1.95/1.98 = 449951.29 (2) What will be the size of heating oil futures if 4.51 heating oil futures are required for optimal hedge without tailing? No. of contracts without tailing=hx Qa/at=0.8242 x (2060500/4.51) = 376555.2328 AT