Assume the spot Swiss franc is $$0\mathrm{.}7052$ and the six$-$month forward rate is $$0\mathrm{.}6976.$ What is the minimum price that a six$-$month American put option with a striking price of $$0\mathrm{.}6826$ should sell for in a rational market? Assume the annualized six$-$month Eurodollar rate is $3\mathrm{.}5$ percent.