Arlington Steel Company is a producer of raw steel and steel$-$related products.

On January $3,2025,$ Arlington enters into a firm commitment to purchase $10,000$ tons of iron ore pellets from a supplier to satisfy spring production demands. The purchase is to be at a fixed price of $$63$ per ton on April $30,2025.$

To protect against the risk of changes in the fair value of the commitment contract, Arlington enters into a futures contract to sell $10,000$ tons of iron ore on April $30$ for $$63$ per ton $($the current price$).$

On March $31,$ the price of iron ore fell to $$61$ per ton, and then increased to $$66$ per ton on April $30.$

Calculate the intrinsic value of the future contract at April $30,2025.$