The spot rate between Swiss and the U$.$S$.$ is SF$2\mathrm{.}1=$ $$1,$ while the $1-$year forward rate is SF$1\mathrm{.}9=$ $$1.$ The risk$-$free rate in Swiss is $4\%.$ The risk$-$free rate in the U$.$S$.$ is $6\%.$ How much profit can you earn on a loan of $$5,000$ by utilizing covered interest arbitrage?

a$.$

$$83\mathrm{.}26$

b$.$

$$447\mathrm{.}37$

c$.$

$$348\mathrm{.}41$

d$.$

$$61\mathrm{.}58$