When storing corn there is spoilage, i.e. the amount of usable corn shrinks over time. Assume that corn spoils continuously at rate of 2% per month. Also, assume that corn storage carries fixed (upfront) costs of $0.20 per bushel per month.
You’re given that today’s price of corn is $10 per bushel, interest rate is 6% annualized, continuously compounded, and the corn forward price for delivery in 2 months is F = 10.25. Describe an arbitrage strategy to take advantage of this mispricing.