On January $1,$ Madison Co$.$ ordered raw material from Japan and agreed to pay $100$ million yen for this order on April $1.$ It negotiated a $3-$month forward contract to obtain $100$ million Japanese yen on that date at $$\mathrm{.}009.$ On February $1,$ the Japanese firm informed Madison Co$.$ that it wouldn't be able to fulfill the order. The Japanese yen spot rate on February $1$ is $$\mathrm{.}0087,$ and the $2-$month forward rate exhibits a $3$ percent discount. To offset its existing contract, Madison Co$.$ will negotiate a forward contract to $\_\_\_\_$ for the date of April $1,$ and the profit$/$loss generated from this transaction is a $\_\_\_\_$ U$.$S$.$ dollars. Question $7$ options: sell yen; loss of $$60,000$ sell yen; gain of $$60,000$ to buy yen; loss of $$30,000$ buy yen; gain of $$30,000$