$.$ Explain what an arbitrageur would do in the following circumstances.

$$ $$/$SF exchange rate is $$\mathrm{.}51/$SF$,$ the Swiss risk$-$free rate is $4\%$ per year, the US risk free rate is $6\%$ per year, and a SF Call option with an exercise price of $$\mathrm{.}50/$SF and a three$-$month expiration is trading at $$\mathrm{.}01/$SF$.$

$$ $$/$SF exchange rate is $$\mathrm{.}48/$SF$,$ the Swiss risk$-$free rate is $4\%$ per year, the US risk free rate is $6\%$ per year, and a SF Put option with an exercise price of $$\mathrm{.}50/$SF and a three$-$month expiration is trading at $$\mathrm{.}01/$SF$.$

$$ $$/$SF exchange rate is $$\mathrm{.}52/$SF$,$ the Swiss risk$-$free rate is $4\%$ per year, the US risk free rate is $6\%$ per year, and a SF Put option with an exercise price of $$\mathrm{.}50/$SF and a three$-$month expiration is trading at $$\mathrm{.}0075,$ and a SF Call with similar terms is trading at $$\mathrm{.}04$