One company knew it was going to buy a million gallons of jet fuel in three months.

匿名用户 最后更新于 2021-07-01 13:18 商科Business

One company knew it was going to buy a million gallons of jet fuel in three months. The standard deviation of the change in the price of a gallon of aviation fuel over a three-month period was 0.032. Companies choose to buy hot oil futures contracts for hedging. The standard deviation of the change of hot oil futures price in 3 months is 0.040, and the correlation coefficient between them is 0.8, so:

Given that a hot oil futures contract is 42,000 gallons, if the spot price of heating oil is $0.7 per gallon and the hot oil futures price is $0.68 per gallon, how many futures contracts should be purchased?

(2) If Mr. Wang wants to achieve his savings goal of 100,000 yuan in 15 years (assuming the annual interest rate is still 7%) by making a lump sum deposit at the end of this year, rather than the same amount each year?

(3) If at the end of the fifth year, Mr. Wang can get an additional 20,000 yuan in cash and deposit it in the bank (the annual interest rate is still 7%) to help achieve the initial deposit target. Then how much should Mr. Wang deposit in the same amount every year?

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