Real-world application of the binomial model
You have built a trading company called āGold Milkā. The company buys milk from farmers at the wholesale price and resells it to the diary companies and restaurant chains at a higher retail price.
Gold Milk generates its revenues mostly during the spring period. Today is December 1st and milk sells for $2.40 per gallon. Based on your models, milk prices will be either $3.50 or $1.35 per gallon on March 1.
You do not know the probabilities of each state occurring. The three-month risk-free rate for borrowing and lending is 1.5%. Gold Milk has the ability to pass the price changes onto its customers and adjusts prices accordingly in March.
Diary King is a diary company and wants to buy milk from you. The company plans to buy 2 million gallons of milk from Gold Milk at $2.50 per gallon on March 1st. Diary King says that it can pay you $1,500,000 up front on December 1st for this contract in order to mitigate your risk.
Should Gold Milk sign the contract with Diary King?
