Problem $3.($Commodity forwards, $10\text{'})$ Assume that the forward price of corn for delivery in exactly three months from today is $$\frac{2\mathrm{.}80}{?}$ bushel. The current spot price of corn is $$2\mathrm{.}60.$ The current three$-$month risk$-$free rate for borrowing and lending is $5\mathrm{.}0\%$ annualized and continuously compounded.

$($a$)$ Corn is a perishable commodity with a traditionally low convenience yield, so assume that the convenience yield is zero. Find the storage cost of corn $($including storage, spoilage, insurance, etc.$)$ that is annualized and continuously compounded over the

$1$

next three months, assuming that this is a known value that is independent of the cost of corn. $(5\text{'})$

$($b$)$ Assume your cost of storage is $12\%$ annualized and continuously compounded, as opposed to the number you inferred in part $($a$).$ Construct an arbitrage table that illustrates how you would take advantage of the apparent mispricing of the forward. $(5\text{'})$

$($Hint: Take the cost of storage as a negative dividend: The number of held underlying assets under the cost of storage will decrease over time.$)$

Is the answer of $($a$)26\mathrm{.}44\%?$ Also, can you build me the arbitrage table in part b$)?$