Q.3 This question consists of three parts A, B \& C. (20 marks) (A) Airline will purchase 3 million gallons of jet fuel in one month and hedges using heating oil futures. The size of one heating oil contract is 42,000 gallons. If you know form the historical data that F the standard deviation of the futures price is 0.0313,S the standard deviation of the spot price is 0.0263, and the coefficient of correlation between F and S is 0.96. Assuming no daily settlement, what is the optimal number of heating oil futures contracts that need to be hedged? (10 marks) (B) Suppose that 6-month, 12-month, 18-month, 24-month, and 30-month zero rates are 4%,4.2%,4.4%,4.6%, and 4.8% per annum with continuous compounding respectively. Estimate the cash price of a bond with a face value of 100 that will mature in 30 months and pays a coupon of 4% per annum semiannually