GED Corporation, located in the United States, has an accounts payable obligation of $800$ million payable in one year to a bank in Tokyo. The current spot rate is $\frac{115}{\text{\$}}1\mathrm{.}00$ and the one year forward rate is $\frac{110}{\text{\$}}1\mathrm{.}00.$ The annual interest rate is $3$ percent in Japan and $6$ percent in the United States. GED can also buy a one$-$year call option on yen at the strike price of $$0\mathrm{.}0080$ per yen for a premium of $0\mathrm{.}010$ cent per yen.

At what one$-$year forward rate would GED be indifferent between money market hedging and forward market hedging?

$\frac{116}{\text{\$}}1\mathrm{.}00$

$\frac{109}{\text{\$}}1\mathrm{.}00$

$\frac{111\mathrm{.}75}{\text{\$}}1\mathrm{.}00$

$\frac{112\mathrm{.}72}{\text{\$}}1\mathrm{.}00$