U$.$S$.$ investors have $$1,000,000$ to invest

$1-$year deposit rate offered on U$.$S$.$ dollars $=12\%$

$1-$year deposit rate offered on Singapore dollars $=10\%$

$1-$year forward rate of Singapore dollars $=$ $$\mathrm{.}412$

Spot rate of Singapore dollar $=$ $$\mathrm{.}400$

a$-$Does interest party exist?

b$-$Calculate the yield of the U$.$S$.$ investors in the US and Singapore

c$-$Where will the US investor invest?