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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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A risk manager at a transportation logistics company is evaluating an existing hedge. The hedge is designed to protect the company against changes in the price of jet fuel by using heating oil futures, and the manager is checking if the hedge employs the optimal number of contracts. The manager collects the following information about the relevant current prices and those prevailing when the hedge was established:

ItemValue
Amount of jet fuel to be hedged1,500,000 gallons
Price of jet fuel when hedge was establishedUSD 1.25 per gallon
Amount underlying each heating oil future42,000 gallons
Price of heating oil futures when hedge was establishedUSD 1.30 per gallon
Correlation between the price of jet fuel and price of heating oil futures contract0.85
Standard deviation of daily returns of price of jet fuel0.03
Standard deviation of the change in the price of jet fuel over the life of the hedge0.03
Standard deviation of daily returns of price of heating oil futures0.04
Standard deviation of the change in the price of heating oil futures over the life of the hedge0.04
Current price of jet fuelUSD 1.00
Current price of heating oil futuresUSD 1.15

The manager notes that an optimal hedge was initially established and now wants to apply a tailing-the-hedge adjustment. After the adjustment is made, what is the correct hedge position for the company to have in place that now reflects both the current price of jet fuel and heating oil futures?

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